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31c/240 caterpillar working notes

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: 31c/240 caterpillar working notes

Postby chris_c » September 5th, 2014, 9:39 pm

HartmutHolzwart wrote:Please keep on optimizing this ship!


Ok, one more idea then! Block trails 1, 2, 5 and 6 are created from the central Herschel climbers and 6 forward rakes. The rakes are at spacing 0, 9, 18, 27, 45 and 54 (mod 31) so they should be relatively inexpensive to create with a temporary column containing 7 Herschel climbers on either side of the ship. The blocks for those temporary climbers could be supported by a Heisenburp MWSS->blinker->block reaction and so the whole thing could potentially fly with just one HWSS stream on each side. Any comments on this vague plan?

x = 4205, y = 2902, rule = B3/S23
2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$
2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o
30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b
2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b
2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o
88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o
88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b
2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b
2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$
2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$
2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o
30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o88b
2o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o29$2143b3o2$2061b3o79bo$
2061b3o78b4o$2059b2o80b5o5b2o$2057b2o4bo77b2o3bo4b2o$2064bo78b3o$2056b
o9bo$2056bo2bobo3bobo$2068bo$2061bo6bo$2061bo$2063bo3bo$2064b2o$2140b
2o$2055b2o84bobo9b2o$2055b2o85bo10b2o7$2059b2o88b2o$2059b2o88b2o12$
2067b2o72b2o$2067b2o72b2o$2021bo$2020bo$2020b3o3$2193bo$2194bo$2192b3o
9$2059b2o88b2o$2059b2o88b2o8$2104bo$2105b2o$2104b2o2$2067b2o72b2o$
2067b2o31bo40b2o$2098b2o$2099b2o15$2059b2o88b2o$2059b2o88b2o12$2067b2o
72b2o$2067b2o72b2o17$2059b2o$2059b2o87bob2o$2142b2o4bo2bo$2143bo4bo$
2054bo4bo84b3obo$2052b3o3bobo83bo2b2ob3o$2052b2obo2bobo2b3o78bo3bob3o$
2051bo2bo3b2o3bob2o79b2o$2052bo10bo3bo$2064b2obo3bo5bo$2049b2o13bo3b3o
b2o3bo$2048bo2bo11b4o2b2o6bo53b5o$2048b2ob2o10bo4bo63b3o$1961bo86bo2b
3o9b6o64bo20b2o$1960bo88b2o2bobo7b2o3bo84bo2bo6bo$1960b3o90bob2o8bo2bo
84bob2o4b2o$2053bobo9b3o86bo3b5o$2041bo11b2o103bo2bo$2040bo114bob4o92b
o$2040b3o113bo97bo$2155bo96b3o2$2059b2o88b2o22bo$2059b2o88b2o23bo$
2172b3o11$2067b2o72b2o$2067b2o72b2o6$2084bo$2085b2o$2084b2o3$2120bo$
2118b2o$2119b2o4$2059b2o88b2o$2059b2o88b2o12$2067b2o72b2o$2067b2o72b2o
17$2059b2o88b2o$2059b2o88b2o12$2067b2o72b2o$2067b2o72b2o6$1901bo$1900b
o$1900b3o2$1981bo$1980bo332bo$1980b3o331bo$2312b3o2$2233bo$2234bo$
2059b2o88b2o81b3o$2059b2o88b2o30$2059b2o88b2o$2059b2o88b2o30$2059b2o
88b2o$2059b2o88b2o17$1841bo$1840bo$1840b3o2$1921bo$1920bo452bo$1920b3o
451bo$2372b3o2$2293bo$2294bo$2292b3o86b2o$2381bobo$2143b3o235bo$2060bo
b3o78b2o$2058bo82b2o3bo$1822b2o233bo5b2o76b2obobo4b2o$1821bobo233bo3b
2o78b2o3b2o3b2o$1823bo234bo6b3o77b2o$2065bobo$2065bo2bo$2066bobo$2066b
3o4$2140b2o$2055b2o96b2o$2055b2o96b2o7$1831bo227b2o88b2o227bo$1831bo
227b2o88b2o227bo$1831bo546bo3$2441b2o$2441bobo$2441bo3$1762b2o$1761bob
o$1763bo$2067b2o72b2o$2067b2o72b2o2$2020bo$2019bo$2019b3o3$2194bo$
2195bo$2193b3o8$1831bo227b2o88b2o227bo$1831bo227b2o88b2o227bo$1831bo
546bo$2501b2o$2501bobo$2501bo3$1702b2o$1701bobo$1703bo401bo$2106b2o$
2105b2o$2067b2o72b2o$2067b2o72b2o$2099bo$2097b2o$2098b2o12$1861bo$
1860bo$1831bo28b3o196b2o88b2o227bo$1831bo227b2o88b2o227bo182b2o$1831bo
546bo182bobo$2353bo207bo$2354bo$2352b3o$1642b2o$1641bobo$1643bo5$2067b
2o72b2o$2067b2o72b2o16$2621b2o$1831bo227b2o87b3o227bo242bobo$1831bo
227b2o82b2o3bo2b2o225bo242bo$1831bo310bo3bob2o228bo$2056b3o84bob4obo2b
o$1582b2o470b6o3b2o78bo4b3ob2o$1581bobo469bo2bobob2ob3o78bobobobob2o$
1583bo469bobobo2bobo3b2o76bo3bobobo$2054bo2b2ob2ob3o2bo77b2o3bo$2057b
2o3bo2b2o66bo$2050bo11b2o7b3o3bo55bo$2049bo3bo8b2o8bo4bo54b3o$2054bo7b
o8bo5bo$2048bob2o9b2obo6bo$2048b2ob3obo7bo4b2o62b3o$1960bo87bo6b3o8bo
66bo19b2o$1959bo89bob2obo2bo8b3o64bo19bo2b2obo$1959b3o88bob2o3bo9bo86b
ob3obo$2052bo3bo10bo89bo$2040bo12bobo10bo87bo6bo239b2o$2039bo114bo2bob
o94bo145b2o$2039b3o115bo97bo146bo$2156b2o95b3o$2059b2o88b2o$1802b2o
255b2o88b2o23bo$1803b2o370bo$1802bo370b3o87bo$1833b2o427b2o111b2o$
1833b2o427bobo110b2o$2681b2o$2681bobo$1941bo739bo$1941b2o$1940bobo$
1522b2o$1521bobo$1523bo543b2o72b2o$2067b2o72b2o7$2085bo$2086b2o$2085b
2o2$2461b2o$2119bo340b2o$2117b2o343bo$2118b2o2$1742b2o$1743b2o205b2o
107b2o88b2o107b2o$1742bo206bobo107b2o88b2o107bobo62bo$1950bo308bo62b2o
$2322bobo$1833b2o540b2o364b2o$1833b2o540b2o364bobo$1881bo859bo$1881b2o
$1880bobo$1462b2o$1461bobo$1463bo2$2067b2o72b2o$2067b2o72b2o9$2521b2o$
2520b2o$2522bo3$1682b2o$1683b2o$1682bo700bo$1950b2o107b2o88b2o107b2o
122b2o$1949bobo107b2o88b2o107bobo121bobo$1950bo308bo541b2o$2801bobo$
1821bo11b2o540b2o424bo$1821b2o10b2o540b2o$1820bobo$1402b2o$1401bobo$
1403bo4$2067b2o72b2o$2067b2o72b2o7$2581b2o$2580b2o$2582bo2$1980bo$
1622b2o355bo$1623b2o354b3o$1622bo820bo$2442b2o$2234bo207bobo$1950b2o
107b2o88b2o84bo22b2o601b2o$1949bobo107b2o88b2o82b3o22bobo600bobo$1761b
o188bo308bo601bo$1761b2o$1760bobo70b2o540b2o$1342b2o489b2o540b2o$1341b
obo$1343bo12$2641b2o$2640b2o$2642bo3$1562b2o$1563b2o$1562bo940bo$2502b
2o$2502bobo$2921b2o$2921bobo$1701bo248b2o191b3o112b2o661bo$1701b2o246b
obo108bob3o78b2o113bobo$1700bobo247bo107bo82b2o3bo112bo10b2o$1282b2o
773bo5b2o76b2obobo4b2o117bobo$1281bobo549b2o222bo3b2o78b2o3b2o3b2o117b
o104b2o$1283bo549b2o223bo6b3o77b2o228b2o$2065bobo$1933b2o130bo2bo$
1932bobo131bobo$1934bo131b3o3$1956bo296bo$1956bo183b2o111bo$1956bo98b
2o96b2o98bo$2055b2o96b2o2$2701b2o$2700b2o$2702bo3$1502b2o555b2o88b2o$
1503b2o554b2o88b2o$1502bo1060bo$2562b2o$2562bobo$2981b2o$2981bobo$
1641bo1339bo$1641b2o$1640bobo307b2o306b2o70b2o$1222b2o725bobo306bobo
69bobo$1221bobo726bo308bo70bo$1223bo$1833b2o232b2o72b2o232b2o$1833b2o
38b2o192b2o72b2o232b2o$1872bobo$1874bo145bo$2019bo$2019b3o3$1956bo237b
o58bo$1956bo238bo57bo$1956bo236b3o57bo$2761b2o$2760b2o$2762bo3$1442b2o
$1443b2o$1442bo616b2o88b2o472bo$2059b2o88b2o471b2o$2622bobo$3041b2o$
3041bobo$1581bo1459bo$1581b2o$1580bobo807b2o$1162b2o1226bobo$1161bobo
786b2o306b2o130bo$1163bo785bobo153bo152bobo$1950bo155b2o151bo$1813b2o
290b2o$1812bobo18b2o232b2o72b2o232b2o$1814bo18b2o232b2o72b2o232b2o$
2099bo$2097b2o$2098b2o4$1956bo296bo$1956bo296bo567b2o$1956bo296bo566b
2o$2822bo3$1382b2o$1383b2o$1382bo1300bo$2682b2o$2059b2o88b2o531bobo$
2059b2o88b2o950b2o$3101bobo$1521bo1579bo$1521b2o$1520bobo927b2o$1102b
2o1346bobo$1101bobo1346bo$1103bo$1950b2o306b2o$1753b2o194bobo306bobo$
1752bobo195bo308bo$1754bo$1833b2o232b2o72b2o232b2o$1833b2o232b2o72b2o
232b2o6$2881b2o$1956bo296bo626b2o$1956bo296bo628bo$1956bo296bo2$1322b
2o$1323b2o$1322bo1420bo$2742b2o$2742bobo$3161b2o$2059b2o88b2o1010bobo$
1461bo597b2o88b2o1010bo$1461b2o$1460bobo1047b2o$1042b2o1466bobo$1041bo
bo1466bo$1043bo2$1693b2o$1692bobo255b2o306b2o$1694bo254bobo306bobo$
1950bo308bo2$1833b2o540b2o$1833b2o540b2o4$2941b2o$2940b2o$2942bo3$
1262b2o$1263b2o$1262bo1540bo$2802b2o$2802bobo$3221b2o$3221bobo$1401bo
1819bo$1401b2o740b3o$1400bobo657bob3o78b2o425b2o$982b2o1074bo82b2o3bo
423bobo$981bobo1073bo5b2o76b2obobo4b2o417bo$983bo1073bo3b2o78b2o3b2o3b
2o$2058bo6b3o77b2o$1633b2o430bobo$1632bobo430bo2bo$1634bo431bobo$1950b
2o114b3o189b2o$1949bobo306bobo$1950bo308bo2$1833b2o305b2o233b2o$1833b
2o220b2o96b2o220b2o$2055b2o96b2o$3001b2o$3000b2o$3002bo3$1202b2o$1203b
2o854b2o88b2o$1202bo856b2o88b2o712bo$2862b2o$2862bobo$3281b2o$3281bobo
$1341bo1939bo$1341b2o$1340bobo1287b2o$922b2o1706bobo$921bobo1706bo$
923bo2$1573b2o492b2o72b2o$1572bobo492b2o72b2o$1574bo$2020bo$2019bo$
1950b2o67b3o236b2o$1949bobo306bobo$1950bo308bo$2194bo$1833b2o360bo179b
2o$1833b2o358b3o179b2o684b2o$3060b2o$3062bo3$1142b2o$1143b2o$1142bo
1780bo$2059b2o88b2o771b2o$2059b2o88b2o771bobo$3341b2o$3341bobo$1281bo
2059bo$1281b2o$1280bobo1407b2o$862b2o1826bobo$861bobo1826bo$863bo$
2105bo$1513b2o591b2o$1512bobo590b2o$1514bo552b2o72b2o$2067b2o72b2o$
2099bo$2097b2o$2098b2o$1950b2o306b2o$1949bobo306bobo$1950bo308bo$3121b
2o$1833b2o540b2o743b2o$1833b2o540b2o745bo3$1082b2o$1083b2o$1082bo1900b
o$2982b2o$2982bobo$2059b2o88b2o1250b2o$2059b2o88b2o1250bobo$1221bo
2179bo$1221b2o$1220bobo1527b2o$802b2o1946bobo$801bobo1946bo$803bo2$
1453b2o$1452bobo$1454bo2$2067b2o72b2o$2067b2o72b2o4$1950b2o306b2o$
1949bobo306bobo920b2o$1950bo308bo920b2o$3182bo$1833b2o540b2o$1833b2o
540b2o$1022b2o$1023b2o$1022bo2020bo$3042b2o$3042bobo$3461b2o$3461bobo$
1161bo897b2o87b3o1310bo$1161b2o896b2o82b2o3bo2b2o$1160bobo979bo3bob2o
660b2o$742b2o1312b3o84bob4obo2bo656bobo$741bobo1310b6o3b2o78bo4b3ob2o
656bo$743bo1309bo2bobob2ob3o78bobobobob2o$2053bobobo2bobo3b2o76bo3bobo
bo$1393b2o659bo2b2ob2ob3o2bo77b2o3bo$1392bobo662b2o3bo2b2o66bo$1394bo
655bo11b2o7b3o3bo55bo$2049bo3bo8b2o8bo4bo54b3o$2054bo7bo8bo5bo$2048bob
2o9b2obo6bo$2048b2ob3obo7bo4b2o62b3o$1960bo87bo6b3o8bo66bo19b2o$1959bo
89bob2obo2bo8b3o64bo19bo2b2obo$1959b3o88bob2o3bo9bo86bob3obo$2052bo3bo
10bo89bo1083b2o$1950b2o88bo12bobo10bo87bo6bo96b2o980b2o$1949bobo87bo
114bo2bobo94bo3bobo981bo$1950bo88b3o115bo97bo3bo$2156b2o95b3o$962b2o
869b2o224b2o88b2o224b2o$963b2o868b2o224b2o88b2o23bo86bo113b2o$962bo
1212bo84b2o841bo$2173b3o84bobo839b2o$3102bobo$3521b2o$1943bo1577bobo$
1101bo841b2o1576bo$1101b2o839bobo$1100bobo1767b2o$682b2o2186bobo$681bo
bo2186bo$683bo$2067b2o72b2o$1333b2o732b2o72b2o$1332bobo$1334bo5$2085bo
$2086b2o$2085b2o$3301b2o$3300b2o$2119bo1182bo$1950b2o165b2o139b2o$
1949bo2bo165b2o137bo2bo$902b2o1045bo2bo304bo2bo$903b2o1045b2o306b2o61b
o$902bo930b2o224b2o88b2o169b2o53b2o786bo$1833b2o224b2o88b2o169bobo52b
2o785b2o$1950b2o306b2o902bobo$1950b2o306b2o1321b2o$1883bo1697bobo$
1041bo841b2o1696bo$1041b2o839bobo$1040bobo1887b2o$622b2o2306bobo$621bo
bo2306bo$623bo2$1273b2o$1272bobo792b2o72b2o$1274bo792b2o72b2o8$3361b2o
$3360b2o$3362bo3$842b2o1106b2o306b2o$843b2o1104bo2bo304bo2bo120bo$842b
o1106bo2bo304bo2bo119b2o841bo$1950b2o306b2o120bobo839b2o$1833b2o224b2o
88b2o224b2o845bobo$1833b2o224b2o88b2o224b2o1264b2o$1823bo126b2o306b2o
1381bobo$981bo841b2o125b2o306b2o1381bo$981b2o839bobo$980bobo2007b2o$
562b2o2426bobo$561bobo2426bo$563bo2$1213b2o$1212bobo$1214bo$2067b2o72b
2o$2067b2o72b2o6$3421b2o$3420b2o$3422bo3$782b2o1196bo$783b2o1194bo461b
o$782bo1167b2o27b3o276b2o180b2o841bo$1949bo2bo304bo2bo179bobo839b2o$
1949bo2bo304bo2bo1021bobo$1950b2o282bo23b2o1441b2o$1763bo69b2o224b2o
88b2o84bo139b2o1324bobo$921bo841b2o68b2o224b2o88b2o82b3o139b2o1324bo$
921b2o839bobo185b2o306b2o$920bobo1027b2o306b2o790b2o$502b2o2546bobo$
501bobo2546bo$503bo2$1153b2o$1152bobo$1154bo8$3481b2o$3480b2o$3482bo3$
722b2o$723b2o1776bo$722bo1777b2o841bo$2500bobo839b2o$1950b2o306b2o
1082bobo$1949bo2bo304bo2bo1500b2o$1703bo245bo2bo304bo2bo1500bobo$861bo
841b2o245b2o306b2o1501bo$861b2o839bobo128b2o224b2o88b2o224b2o$860bobo
970b2o224b2o88b2o224b2o733b2o$442b2o1506b2o306b2o850bobo$441bobo1506b
2o306b2o850bo$443bo2$1093b2o$1092bobo$1094bo6$2283bo$2282b2o$2282bobo
1256b2o$3540b2o$3542bo$1921bo$1921b2o$662b2o1256bobo$663b2o1896bo$662b
o1897b2o841bo$2560bobo839b2o$3402bobo$3821b2o$1643bo2177bobo$801bo841b
2o2176bo$801b2o839bobo$800bobo2367b2o$382b2o1449b2o114b2o108b2o88b2o
108b2o114b2o793bobo$381bobo1449b2o114b2o108b2o88b2o108b2o114b2o793bo$
383bo2$1033b2o$1032bobo$1034bo6$2343bo$2342b2o$2342bobo1256b2o$3600b2o
$3602bo$1861bo$1861b2o$602b2o1256bobo$603b2o2016bo$602bo2017b2o841bo$
2620bobo839b2o$3462bobo$3881b2o$1583bo2297bobo$741bo841b2o2296bo$741b
2o839bobo$740bobo2487b2o$322b2o2906bobo$321bobo2906bo$323bo1509b2o114b
2o108b2o88b2o108b2o114b2o$1833b2o114b2o108b2o88b2o108b2o114b2o$973b2o$
972bobo$974bo6$2403bo$2402b2o$2402bobo1256b2o$3660b2o$3662bo$1801bo$
1801b2o$542b2o1256bobo$543b2o2136bo$542bo2137b2o841bo$2680bobo839b2o$
3522bobo$3941b2o$1523bo2417bobo$681bo841b2o2416bo$681b2o839bobo$680bob
o2607b2o$262b2o3026bobo$261bobo3026bo$263bo2$913b2o$912bobo$914bo6$
2463bo$2462b2o$2462bobo1256b2o$3720b2o$3722bo$1741bo$1741b2o$482b2o
1256bobo$483b2o2256bo$482bo2257b2o841bo$2740bobo839b2o$3582bobo$4001b
2o$1463bo2537bobo$621bo841b2o2536bo$621b2o839bobo$620bobo2727b2o$202b
2o3146bobo$201bobo3146bo$203bo2$853b2o$852bobo$854bo6$2523bo$2522b2o$
2522bobo1256b2o$3780b2o$3782bo$1681bo$1681b2o$422b2o1256bobo$423b2o
2376bo$422bo2377b2o841bo$2800bobo839b2o$3642bobo$4061b2o$1403bo2657bob
o$561bo841b2o2656bo$561b2o839bobo$560bobo2847b2o$142b2o3266bobo$141bob
o3266bo$143bo2$793b2o$792bobo$794bo6$2583bo$2582b2o$2582bobo1256b2o$
3840b2o$3842bo$1621bo$1621b2o$362b2o1256bobo$363b2o2496bo$362bo2497b2o
841bo$2860bobo839b2o$3702bobo$4121b2o$1343bo2777bobo$501bo841b2o2776bo
$501b2o839bobo$500bobo2967b2o$82b2o3386bobo$81bobo3386bo$83bo2$733b2o$
732bobo$734bo6$2643bo$2642b2o$2642bobo1256b2o$3900b2o$3902bo$1561bo$
1561b2o$302b2o1256bobo$303b2o2616bo$302bo2617b2o841bo$2920bobo839b2o$
3762bobo$4181b2o$1283bo2897bobo$441bo841b2o2896bo$441b2o839bobo$440bob
o3087b2o$22b2o3506bobo$21bobo3506bo$23bo2$673b2o$672bobo$674bo6$2703bo
$2702b2o$2702bobo1256b2o$3960b2o$3962bo$1501bo$1501b2o$242b2o1256bobo$
243b2o2736bo$242bo2737b2o841bo$2980bobo839b2o$3822bobo2$1223bo$381bo
841b2o$381b2o839bobo$380bobo3207b2o$3590bobo$3590bo3$613b2o$612bobo$
614bo6$2763bo$2762b2o$2762bobo1256b2o$4020b2o$4022bo$1441bo$1441b2o$
182b2o1256bobo$183b2o2856bo$182bo2857b2o841bo$3040bobo839b2o$3882bobo
2$1163bo$321bo841b2o$321b2o839bobo$320bobo3327b2o$3650bobo$3650bo3$
553b2o$552bobo$554bo6$2823bo$2822b2o$2822bobo1256b2o$4080b2o$4082bo$
1381bo$1381b2o$122b2o1256bobo$123b2o2976bo$122bo2977b2o841bo$3100bobo
839b2o$3942bobo2$1103bo$261bo841b2o$261b2o839bobo$260bobo3447b2o$3710b
obo$3710bo3$493b2o$492bobo$494bo6$2883bo$2882b2o$2882bobo1256b2o$4140b
2o$4142bo$1321bo$1321b2o$62b2o1256bobo$63b2o3096bo$62bo3097b2o841bo$
3160bobo839b2o$4002bobo2$1043bo$201bo841b2o$201b2o839bobo$200bobo3567b
2o$3770bobo$3770bo3$433b2o$432bobo$434bo6$2943bo$2942b2o$2942bobo1256b
2o$4200b2o$4202bo$1261bo$1261b2o$2b2o1256bobo$3b2o3216bo$2bo3217b2o
841bo$3220bobo839b2o$4062bobo2$983bo$141bo841b2o$141b2o839bobo$140bobo
3687b2o$3830bobo$3830bo3$373b2o$372bobo$374bo6$3003bo$3002b2o$3002bobo
3$1201bo$1201b2o$1200bobo$3281bo$3280b2o841bo$3280bobo839b2o$4122bobo
2$923bo$81bo841b2o$81b2o839bobo$80bobo3807b2o$3890bobo$3890bo3$313b2o$
312bobo$314bo6$3063bo$3062b2o$3062bobo3$1141bo$1141b2o$1140bobo$3341bo
$3340b2o841bo$3340bobo839b2o$4182bobo2$863bo$21bo841b2o$21b2o839bobo$
20bobo3927b2o$3950bobo$3950bo3$253b2o$252bobo$254bo6$3123bo$3122b2o$
3122bobo3$1081bo$1081b2o$1080bobo$3401bo$3400b2o$3400bobo3$803bo$803b
2o$802bobo$4010b2o$4010bobo$4010bo3$193b2o$192bobo$194bo6$3183bo$3182b
2o$3182bobo3$1021bo$1021b2o$1020bobo$3461bo$3460b2o$3460bobo3$743bo$
743b2o$742bobo$4070b2o$4070bobo$4070bo3$133b2o$132bobo$134bo6$3243bo$
3242b2o$3242bobo3$961bo$961b2o$960bobo$3521bo$3520b2o$3520bobo3$683bo$
683b2o$682bobo$4130b2o$4130bobo$4130bo3$73b2o$72bobo$74bo6$3303bo$
3302b2o$3302bobo3$901bo$901b2o$900bobo$3581bo$3580b2o$3580bobo3$623bo$
623b2o$622bobo$4190b2o$4190bobo$4190bo3$13b2o$12bobo$14bo6$3363bo$
3362b2o$3362bobo3$841bo$841b2o$840bobo$3641bo$3640b2o$3640bobo3$563bo$
563b2o$562bobo14$3423bo$3422b2o$3422bobo3$781bo$781b2o$780bobo$3701bo$
3700b2o$3700bobo3$503bo$503b2o$502bobo14$3483bo$3482b2o$3482bobo3$721b
o$721b2o$720bobo$3761bo$3760b2o$3760bobo3$443bo$443b2o$442bobo14$3543b
o$3542b2o$3542bobo3$661bo$661b2o$660bobo$3821bo$3820b2o$3820bobo3$383b
o$383b2o$382bobo14$3603bo$3602b2o$3602bobo3$601bo$601b2o$600bobo$3881b
o$3880b2o$3880bobo3$323bo$323b2o$322bobo14$3663bo$3662b2o$3662bobo3$
541bo$541b2o$540bobo$3941bo$3940b2o$3940bobo3$263bo$263b2o$262bobo14$
3723bo$3722b2o$3722bobo3$481bo$481b2o$480bobo$4001bo$4000b2o$4000bobo
3$203bo$203b2o$202bobo14$3783bo$3782b2o$3782bobo3$421bo$421b2o$420bobo
$4061bo$4060b2o$4060bobo3$143bo$143b2o$142bobo14$3843bo$3842b2o$3842bo
bo3$361bo$361b2o$360bobo$4121bo$4120b2o$4120bobo3$83bo$83b2o$82bobo14$
3903bo$3902b2o$3902bobo3$301bo$301b2o$300bobo$4181bo$4180b2o$4180bobo
3$23bo$23b2o$22bobo14$3963bo$3962b2o$3962bobo3$241bo$241b2o$240bobo22$
4023bo$4022b2o$4022bobo3$181bo$181b2o$180bobo22$4083bo$4082b2o$4082bob
o3$121bo$121b2o$120bobo22$4143bo$4142b2o$4142bobo3$61bo$61b2o$60bobo
22$4203bo$4202b2o$4202bobo3$bo$b2o$obo!
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 6th, 2014, 1:10 pm

chris_c wrote:Ok, one more idea then! Block trails 1, 2, 5 and 6 are created from the central Herschel climbers and 6 forward rakes. The rakes are at spacing 0, 9, 18, 27, 45 and 54 (mod 31) so they should be relatively inexpensive to create with a temporary column containing 7 Herschel climbers on either side of the ship.

To make forward glider streams, wouldn't this temporary column would have to have at least three block trails in it? And then with less than six trails, it would leak backward gliders out the far side. That kind of thing is relatively easy to clean up, though.

Or maybe you're kicking back streams from the two trails in the front? Then I guess you can get away with just two block trails in the column (so they clean up each other's spare blocks) (?).

-- I'm reminded that there are lots and lots of crazy things you can try with temporary single block trails off to the side, that don't have to line up with the main trails.

A single trail on the left can act as a filter, or lane-changer, for gliders from the right two trails. The top two singleton Herschel climbers absorb a single glider and re-emit it 15 lanes up; the next glider passes through the trail unaltered, and the next one moves the trail with a block pull. Then I tried kicking a glider forward -- notice that last Herschel is a mirror image of the others -- but ran into trouble getting rid of the spare block after that.

#C single trail on left acts as a filter/lane-changer for gliders
x = 446, y = 1779, rule = B3/S23
272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b
2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b
2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b
2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$
160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o
88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o
88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$
160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o
88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o
88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$
160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o
88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o
88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$
160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o
88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o
88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$
160b2o26$272b2o88b2o$272b2o88b2o3$160b2o$160b2o26$272b2o88b2o$272b2o
88b2o3$160b2o$160b2o26$272b2o$272b2o88bo$357bob5o$356bo3bo2bo$160b2o
195bo$160b2o196bo2b3o$271b2o77b2o4b2o4bo$263b2o5b2obo74bo7b2o$263b6o2b
obo72b3o9bo$266bobo8b3o7b2o56bo4b2o4bo$265b3obo10bobo2b5o54bo3b3obo$
264b2ob2o2b2o7bobob2o4bo54bobo4bo17b2o$262bo4bo9b2o3bob2obob2o58bo2bo
16bobo3bo$263b3ob2o9b2o6bo63bo10bo14b2o$267b2o7bobo9bo78bo3bo$257bo8b
2o9bo7b3o75b2o2b2ob2ob3o$255b2o9bo18b2o76b2o$256b2o105b3o2bo$368bo$
366b2o$383bo$384b2o$272b2o88b2o19b2o$272b2o88b2o12$160b2o118b2o72b2o$
160b2o118b2o72b2o4$296bo$294bobo$295b2o3$334bo$334bobo$334b2o6$272b2o
88b2o$272b2o88b2o12$160b2o118b2o72b2o$160b2o118b2o72b2o17$272b2o88b2o$
272b2o88b2o12$160b2o118b2o72b2o$160b2o118b2o72b2o8$197bo$195b2o$196b2o
3$443bo$444b2o$443b2o2$272b2o88b2o$272b2o88b2o8$351bobo$353bo$349bo$
348bo$347b2o2b2o$163bo184bo2b2o6bo$162b3o184bo4bo3b3o$161bo188b2o2bo2b
2o2bo$159bob4o186bobo7b2o$158b4ob2o193b3ob2o$157bob2o2b2o114b2o78bo2b
2o$157bo2bo2b2ob3o110b3o76b3o$158bo4bo2b3o109bo2bo79b2o$162b7o108b2ob
2o79b2o$163bob4o108b2ob2o$164bo2bo110b2ob2o$165b2o114bo72bo$278b3o73bo
bo$156b2o121bo74b2o$156b2o6$270b2o$160b2o108b2o8b2o72b2o$160b2o118b2o
72b2o$269bo$268bobo$271bo$266bo3bo$265bo4bo$264bo2$269bo$266bo5$123bo$
121b2o$122b2o$272b2o88b2o$272b2o88b2o12$160b2o118b2o72b2o$160b2o118b2o
72b2o17$272b2o88b2o$272b2o88b2o$217bo$215b2o$216b2o3$423bo$424b2o$423b
2o4$160b2o118b2o72b2o$160b2o118b2o72b2o13$336bo$334bobo$335b2o2$272b2o
88b2o$272b2o20bo67b2o$294bobo$294b2o10$160b2o118b2o72b2o$160b2o118b2o
72b2o3$159b2o$154b3o4bo$153b2o4bobo3bo$152bo3bo2b2o3b3o$153b2o9bo2b2o$
166b3o4bo$150b2o13bo5bobo3b3o$149bo2bo12b4ob2obo$150bobo11bo$63bo86b2o
2bo9b2ob2o$61b2o87b2o2b3o8bo2b2o$62b2o92bo9b3o$154bobo10bo$143bo10b2o$
141b2o129b2o88b2o$142b2o128b2o88b2o3$160b2o$160b2o9$359bo$358b3o$357b
2o2bo$361b2o$358b3ob2o$279b2o78bo2b2o$279b3o76b3o$278bo2bo79b2o$277b2o
b2o79b2o$277b2ob2o$278b2ob2o$281bo72bo$278b3o73bobo$279bo74b2o7$270b2o
$160b2o108b2o8b2o72b2o$160b2o118b2o72b2o$269bo$268bobo$271bo$266bo3bo$
265bo4bo$264bo2$269bo$266bo8$272b2o88b2o$272b2o88b2o12$160b2o118b2o72b
2o$160b2o118b2o72b2o17$272b2o88b2o$272b2o88b2o$3bo213bo$b2o212b2o$2b2o
212b2o2$83bo$81b2o340bo$82b2o340b2o$423b2o4$160b2o118b2o72b2o$160b2o
118b2o72b2o13$336bo$334bobo$335b2o2$272b2o88b2o$272b2o20bo67b2o$294bob
o$294b2o10$160b2o118b2o72b2o$160b2o118b2o72b2o17$272b2o88b2o$272b2o88b
2o12$160b2o$160b2o197bo$358b3o$357b2o2bo$361b2o$358b3ob2o$279b2o78bo2b
2o$279b3o76b3o$278bo2bo79b2o$277b2ob2o79b2o$277b2ob2o$278b2ob2o$281bo
72bo$278b3o73bobo$279bo74b2o4$157bo$155b2o$156b2o$270b2o$23bo246b2o8b
2o72b2o$21b2o257b2o72b2o$22b2o245bo$268bobo$271bo$266bo3bo$265bo4bo$
264bo2$160b2o107bo$160b2o104bo8$272b2o88b2o$272b2o88b2o12$280b2o72b2o$
280b2o72b2o8$160b2o$160b2o8$272b2o88b2o$272b2o88b2o$217bo$215b2o$216b
2o3$423bo$424b2o$423b2o4$280b2o72b2o$280b2o72b2o8$160b2o$160b2o4$336bo
$334bobo$335b2o2$272b2o88b2o$272b2o20bo67b2o$294bobo$294b2o4$97bo$95b
2o$96b2o4$280b2o72b2o$280b2o72b2o8$160b2o$160b2o8$272b2o88b2o$272b2o
88b2o20$162b2o$162b2o9$272b2o88b2o$272b2o88b2o8$359bobo$359bob2o$358b
2o2b2o$353b3o7b2o$353bo8b2o$353bobo6bo$354b2o$276bo$275b3o83bo$274bo2b
2o83bo$273b4obo82bo$273bo4bo$162b2o110b2o2bo$162b2o111b2o85b2o$362b2o$
280bo$278bobo$279b2o3$350bo$350bobo$350b2o4$280b2o72b2o$280b2o72b2o9$
93b2o$93bobo$93bo6$272b2o88b2o$272b2o88b2o$157b2o$156b3o$155bo2b2o$
158b3o$157b3o4b3o$158bo6$166b2o112b2o72b2o$166b2o112b2o72b2o7$153b2o7b
2o$153bobo6b2o$153bo8$272b2o88b2o$272b2o88b2o$198bo$154b2o40bobo$154b
2o41b2o2$213bo$211b2o$212b2o3$427bo$428b2o$280b2o72b2o71b2o$280b2o72b
2o13$120bobo$120b2o$121bo2$272b2o66bo21b2o$272b2o64bobo21b2o$339b2o3$
290bo$290bobo$290b2o6$280b2o72b2o$280b2o72b2o17$272b2o88b2o$272b2o88b
2o55$60bobo$60b2o$61bo89$obo$2o$bo!

I'm not sure if this line of investigation will be really generally useful, since so much of it is very specific to the 31c/240 reburnable wick mechanism.

There are some more universal items in the optimization department that are still unknown, though:

  • What's the cheapest forerake slow-salvo HWSS edge-shooter seed? (just by number of gliders, let's say, with an unweighted search -- or by sscs's COST calculation)
  • Same question for backrake HWSS edge-shooters.
  • Same question for MWSSes and LWSSes, both forerake and backrake versions.
  • Same questions for mixed slow forerakes and backrakes.
  • Same questions for Gemini-style constructions with synchronized 90-degree pairs of gliders -- "slow pair" constructions. Slow forerake and slow backrake recipes would presumably be subsets of the slow-pair recipe space, unless there's some reason to forbid singleton gliders.
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Re: 31c/240 caterpillar working notes

Postby Sphenocorona » September 6th, 2014, 2:14 pm

If I recall correctly, there was a close variant of this wick where the other block is left behind, which would result in a ship that moves at (8,27)c/240. I was wondering, with all this work that has been accomplished with these Herschel climbers, how close would we be to making a ship out of that related wick?

I just remembered the huge issues that would make the possibility of a oblique spaceship using the variant wick extremely unlikely and insanely difficult to achieve. Obviously it would still be possible make an orthogonal spaceship using it, though- and who knows, maybe it would actually be able to be more efficient/faster running in Golly.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 6th, 2014, 8:31 pm

Sphenocorona wrote:If I recall correctly, there was a close variant of this wick where the other block is left behind, which would result in a ship that moves at (8,27)c/240. I was wondering, with all this work that has been accomplished with these Herschel climbers, how close would we be to making a ship out of that related wick?

You know, that's a very good question! There are a lot of similarities to the 31c/240 technology, and a few important differences. EDIT: Hmm -- Houston, we have a problem: the paired Herschel reaction that produces blocks at (8,27) is still a 31c/240 reaction! Even if we build rakes that shift the block trails by (8,27), it won't make any difference to the 31c/240 orthogonal speed of the ship as a whole.

Similarities:
  • We can use more or less the same tools to put together a front end for (8,27)-shifting trails, once we figure out what it should look like. Upship streams can collide with forward gliders to produce lateral MWSSes or reverse lateral glider streams, which then collide or interact with Herschels to produce block trails.
  • Herschels on pairs of block trails can be arranged to clean up each other's spare blocks.
  • Once we have clean forerakes and backrakes that offset block trails by (8,27), we could use pretty much the same tricks we've developed for standard orthogonal 31c/240 trails, to produce rakes with different output lanes, and to slow-construct upships at a safe distance from the trails.

Differences:
  • The Herschels on the two paired block trails will have to be in the same orientation, not in opposite orientations as in the 31c/240 -- otherwise you'd get (8,27) on one side and (-8,27) on the other side, which would very quickly mean no spaceship.
  • It doesn't seem to be possible to line up the blocks in the paired trails. Vertical offsets of 7 to 11 cells seem to be workable, with trail distances of [44|45]+31N; can anyone find a way to reach a wider range?
  • The output glider on one side will come from that Herschel's second natural glider, same as for 31c/240. But on the other side the glider will be the Herschel's first natural glider -- and that one can't be kicked back quickly to produce a forerake, because it would hit the spare block.
  • However, if you wait long enough, it is possible to produce an escaping forward glider stream by kicking the first natural glider forward. So the possibility of workable six-trail forerakes and backrakes seems to be open.
  • There won't be any simple way to double an (8,27)-shifter rake, and we wouldn't want to, because the spaceship's structure will be inherently asymmetrical anyway.
It might be interesting to try to solve the right-hand side of this, to produce a clean rephaser:

#C six block trails allow for a fore+back rake with an (8,27) trail shift
x = 583, y = 1355, rule = B3/S23
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$
278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o
371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b
2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o
3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$
278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o
371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b
2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o
3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$
278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o
371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b
2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o
3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$
278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o
371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b
2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o
3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$
278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o
371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b
2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o
3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$
278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o
371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o3$233b2o$233b
2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$355b2o$355b2o
3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o17$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o12$577b2o$578b2o$577bo3$355b2o$355b2o3$233b2o$233b2o$27b2o$
27b2o371b2o$400b2o3$278b2o$278b2o$72b2o$72b2o10$517b2o$518b2o$517bo5$
355b2o$355b2o3$233b2o$233b2o$27b2o$27b2o371b2o$400b2o3$278b2o$278b2o$
72b2o$72b2o8$457b2o$458b2o$457bo2$241bo$241bo$240bobo2$239b2o$355b2o$
239b2o114b2o$286bo$286bo$285bobo2$27b2o255b2o$27b2o202b2o167b2o$231b2o
8b2o41b2o114b2o$241b2o4$72b2o$72b2o202b2o$229b3o44b2o8b2o$229b3o54b2o$
228bob2o$229b2obo$230b2o$397b2o$398b2o$274b3o86bo33bo$274b3o85b3o$273b
ob2o84bo$274b2obo84b2o$233b2o40b2o85bo$233b2o6$278b2o$278b2o73b2o$28bo
324b2o8b2o$27bobo333b2o$27bobo$28b3o369b2o$27b2o2bo209b2o157b2o$26bo
214b2o$26bobo323bo$26bo3bo320b3o$24bo6bo318b2ob2o$24b3o4b2o39b2o279b3o
$25b5obo12bo27b2o277b2obo$44bo241b2o64b2o$286b2o64bo2$337b2o$338b2o$
23b2o19bo292bo$24bo19bo$355b2o$355b2o3$179bobo$179b2o$27b2o151bo$27b2o
379bo$407b3o$bobo402bo$b2o404b2o$2bo404bo2$363b2o$363b2o3$241b2o$241b
2o$35b2o361b2o$35b2o361b2o8b2o$78bo329b2o$77bobo2$78bo2bo204b2o$70b2o
4bo5bo203b2o$70b2o3bo3b3o315bo$75b3o318b3o$395b2ob2o$398b3o$396b2obo$
3o352b2o40b2o$o354b2o40bo$bo58bo$61bo$59b3o$68b2o$27b2o39b2o$27b2o6$
72b2o289b2o$72b2o289b2o3$241b2o$241b2o$35b2o$35b2o371b2o$408b2o3$286b
2o$286b2o$80b2o$80b2o2$60b3o$60bo$61bo13$363b2o$363b2o3$241b2o$241b2o$
35b2o$35b2o371b2o$408b2o3$286b2o$286b2o$80b2o$80b2o38b3o$120bo$121bo3$
462bo$460bobo$461b2o10$363b2o$363b2o3$241b2o$241b2o$35b2o$35b2o371b2o$
408b2o3$286b2o$286b2o$80b2o$80b2o65$522bo$520bobo$521b2o89$582bo$580bo
bo$581b2o!

It's perfectly okay to use more trails on the right if they're needed, or two or more Herschels on each block trail instead of one, as long as the final result is a clean rephaser. The problem is that the forward glider has to pass in front of the Herschel on Trail #6, because otherwise it hits and destroys the (8,27) shifted trail block.

But if the glider is in front of that Herschel, it can't suppress the first natural glider output from it. So we end up with a similar situation as with a four-trail system at 31c/240: an infinite chain of rephasers could each suppress the rephaser above them and be suppressed by the rephaser below them -- but to get a good stand-alone rephaser we need a little more trickery.

Once we have the rephaser, we can easily make various rakes in the usual way: change an interior kickback collision into mutual annihilation reactions to get a backrake, or change an annihilation reaction on an edge into a kickback to get a forerake. (It looks as if this will work on the right side with no problem, and the left side with a minor change -- the kicked-back gliders can cross all six trails, if we adjust Trail #6 just right. Anyway there are other ways to get forerakes, e.g., with the G+G->TL+G reaction.)
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 6th, 2014, 9:15 pm

Sphenocorona wrote:I just remembered the huge issues that would make the possibility of a oblique spaceship using the variant wick extremely unlikely and insanely difficult to achieve. Obviously it would still be possible [to] make an orthogonal spaceship using it, though- and who knows, maybe it would actually be able to be more efficient/faster running in Golly.

Probably not more efficient or faster running, because the rephasers and rakes seem likely to be significantly more complicated than with standard orthogonal block trails -- and we can't mix and match, because the trail spacings that allow the (0,-9) offset don't work when you destroy the (0,-9) block and leave the one at (27,8).

Just for the record, the "extremely unlikely" way to get a spaceship to move by (8,27) would be to build one or more (8,27)-shifting rephasers that travel on standard orthogonal block trails. But then you'd have to somehow catch each rephaser at the top of the trail, destroy it, and send a signal back to the bottom of the trail to rebuild all the Herschels in the right relative spacetime locations -- very much analogous to the way the (6,3) half-bakery knightships.

This catching and rebuilding would somehow have to be mediated by interactions between the rephasers, I suppose -- it would be much slower than p240, of course, probably very very slow indeed. And really I don't even see how to make rephasers interact in any useful way to support destruction and construction activity of that level of complexity.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 8th, 2014, 9:42 am

dvgrn wrote:Or maybe you're kicking back streams from the two trails in the front? Then I guess you can get away with just two block trails in the column (so they clean up each other's spare blocks) (?).

Yes I was thinking of using kickbacks but what I kept on forgetting is the need to delete the junk blocks in the trail. So you are right that two trails seems like the minimum with this approach. The patterns you posted are interesting and I will try to have a good think about them. But instead I have been thinking about something like this.

x = 2423, y = 3542, rule = B3/S23
2281bo$2281b2o$2280bobo27$2221bo$2221b2o$2220bobo27$2161bo$2161b2o$
2160bobo27$2101bo$2101b2o$2100bobo15$2276b2o$2275bobo$2277bo10$2041bo$
2041b2o$2040bobo15$2216b2o200b3o$2215bobo200bo2bo$2217bo200bo$2418bo3b
o$2418bo$2419bobo7$1981bo432b3o$1981b2o430bo2bo$1980bobo433bo$2412bo3b
o$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$
2404b2o3$2156b2o$2155bobo$2157bo10$1921bo$1921b2o$1920bobo15$2096b2o$
2095bobo$2097bo10$1861bo$1861b2o$1860bobo$2289b2o$2288bobo$2290bo12$
2036b2o$2035bobo$2037bo380b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bo
bo5$1801bo$1801b2o$1800bobo611b3o$2229b2o182bo2bo$2228bobo185bo$2230bo
181bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$
2404b3o$2404b2o$1976b2o$1975bobo$1977bo10$1741bo$1741b2o$1740bobo$
2169b2o$2168bobo$2170bo12$1916b2o$1915bobo$1917bo10$1681bo$1681b2o$
1680bobo$2109b2o$2108bobo$2110bo12$1856b2o$1855bobo444b2o$1857bo443bob
o$2303bo$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo3$1621bo$
1621b2o$1620bobo$2049b2o$2048bobo363b3o$2050bo362bo2bo$2416bo$2412bo3b
o$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$1796b2o
606b3o$1795bobo444b2o160b2o$1797bo443bobo$2243bo9$1561bo$1561b2o$1560b
obo$1989b2o$1988bobo$1990bo12$1736b2o$1735bobo444b2o$1737bo443bobo$
2183bo9$1501bo$1501b2o$1500bobo$1929b2o$1928bobo$1930bo12$1676b2o$
1675bobo444b2o$1677bo443bobo$2123bo3$2418b3o$2418bo2bo$2418bo$2418bo3b
o$2418bo$2419bobo$1441bo$1441b2o$1440bobo$1869b2o$1868bobo444b2o$1870b
o443bobo$2316bo97b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404b
o$2403b3o$2403bob2o$1616b2o786b3o$1615bobo444b2o340b3o$1617bo443bobo
340b3o$2063bo340b2o9$1381bo$1381b2o$1380bobo$1809b2o$1808bobo444b2o$
1810bo443bobo$2256bo11$1556b2o$1555bobo444b2o$1557bo443bobo$2003bo9$
1321bo$1321b2o$1320bobo$1749b2o$1748bobo444b2o$1750bo443bobo$2196bo11$
1496b2o$1495bobo444b2o$1497bo443bobo$1943bo5$2418b3o$2418bo2bo$2418bo$
2418bo3bo$1261bo1156bo$1261b2o1156bobo$1260bobo$1689b2o$1688bobo444b2o
$1690bo443bobo$2136bo2$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413b
obo3$2404bo$1436b2o965b3o$1435bobo444b2o519bob2o$1437bo443bobo444b2o
74b3o$1883bo443bobo74b3o$2329bo74b3o$2404b2o7$1201bo$1201b2o$1200bobo$
1629b2o$1628bobo444b2o$1630bo443bobo$2076bo11$1376b2o$1375bobo444b2o$
1377bo443bobo444b2o$1823bo443bobo$2269bo8$1141bo$1141b2o$1140bobo$
1569b2o$1568bobo444b2o$1570bo443bobo$2016bo11$1316b2o$1315bobo444b2o$
1317bo443bobo444b2o$1763bo443bobo$2209bo6$2418b3o$2418bo2bo$1081bo
1336bo$1081b2o1335bo3bo$1080bobo1335bo$1509b2o908bobo$1508bobo444b2o$
1510bo443bobo$1956bo4$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bo
bo2$1256b2o$1255bobo444b2o700bo$1257bo443bobo444b2o253b3o$1703bo443bob
o253bob2o$2149bo254b3o$2404b3o$2404b3o$2404b2o5$1021bo$1021b2o$1020bob
o$1449b2o$1448bobo444b2o$1450bo443bobo444b2o$1896bo443bobo$2342bo10$
1196b2o$1195bobo444b2o$1197bo443bobo444b2o$1643bo443bobo$2089bo8$961bo
$961b2o$960bobo$1389b2o$1388bobo444b2o$1390bo443bobo444b2o$1836bo443bo
bo$2282bo10$1136b2o$1135bobo444b2o$1137bo443bobo444b2o$1583bo443bobo$
2029bo8$901bo1516b3o$901b2o1515bo2bo$900bobo1515bo$1329b2o1087bo3bo$
1328bobo444b2o641bo$1330bo443bobo444b2o196bobo$1776bo443bobo$2222bo5$
2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$1076b2o1335bobo$1075bobo444b
2o$1077bo443bobo444b2o$1523bo443bobo434bo$1969bo433b3o$2403bob2o$2404b
3o$2404b3o$2404b3o$2404b2o3$841bo$841b2o$840bobo$1269b2o$1268bobo444b
2o$1270bo443bobo444b2o$1716bo443bobo$2162bo10$1016b2o$1015bobo444b2o$
1017bo443bobo444b2o$1463bo443bobo444b2o$1909bo443bobo$2355bo7$781bo$
781b2o$780bobo$1209b2o$1208bobo444b2o$1210bo443bobo444b2o$1656bo443bob
o$2102bo10$956b2o$955bobo444b2o$957bo443bobo444b2o$1403bo443bobo444b2o
$1849bo443bobo$2295bo7$721bo$721b2o$720bobo1695b3o$1149b2o1267bo2bo$
1148bobo444b2o821bo$1150bo443bobo444b2o375bo3bo$1596bo443bobo375bo$
2042bo376bobo7$2414b3o$2413bo2bo$2416bo$896b2o1514bo3bo$895bobo444b2o
1072bo$897bo443bobo444b2o623bobo$1343bo443bobo444b2o$1789bo443bobo$
2235bo168bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o$661bo$
661b2o$660bobo$1089b2o$1088bobo444b2o$1090bo443bobo444b2o$1536bo443bob
o$1982bo10$836b2o$835bobo444b2o$837bo443bobo444b2o$1283bo443bobo444b2o
$1729bo443bobo$2175bo7$601bo$601b2o$600bobo$1029b2o$1028bobo444b2o$
1030bo443bobo444b2o$1476bo443bobo444b2o$1922bo443bobo$2368bo9$776b2o$
775bobo444b2o$777bo443bobo444b2o$1223bo443bobo444b2o$1669bo443bobo$
2115bo7$541bo$541b2o$540bobo$969b2o$968bobo444b2o1001b3o$970bo443bobo
444b2o555bo2bo$1416bo443bobo444b2o109bo$1862bo443bobo109bo3bo$2308bo
109bo$2419bobo7$2414b3o$716b2o1695bo2bo$715bobo444b2o1252bo$717bo443bo
bo444b2o802bo3bo$1163bo443bobo444b2o360bo$1609bo443bobo357bobo$2055bo
2$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$481bo1922b3o$481b2o1921b2o$
480bobo$909b2o$908bobo444b2o$910bo443bobo444b2o$1356bo443bobo444b2o$
1802bo443bobo$2248bo9$656b2o$655bobo444b2o$657bo443bobo444b2o$1103bo
443bobo444b2o$1549bo443bobo$1995bo7$421bo$421b2o$420bobo$849b2o$848bob
o444b2o$850bo443bobo444b2o$1296bo443bobo444b2o$1742bo443bobo$2188bo9$
596b2o$595bobo444b2o$597bo443bobo444b2o$1043bo443bobo444b2o$1489bo443b
obo$1935bo7$361bo$361b2o$360bobo$789b2o$788bobo444b2o$790bo443bobo444b
2o$1236bo443bobo444b2o289b3o$1682bo443bobo289bo2bo$2128bo289bo$2418bo
3bo$2418bo$2419bobo6$536b2o$535bobo444b2o1430b3o$537bo443bobo444b2o
983bo2bo$983bo443bobo444b2o540bo$1429bo443bobo536bo3bo$1875bo540bo$
2413bobo3$2404bo$2403b3o$2403bob2o$301bo2102b3o$301b2o2101b3o$300bobo
2101b3o$729b2o1673b2o$728bobo444b2o$730bo443bobo444b2o$1176bo443bobo
444b2o$1622bo443bobo$2068bo9$476b2o$475bobo444b2o$477bo443bobo444b2o$
923bo443bobo444b2o$1369bo443bobo$1815bo7$241bo$241b2o$240bobo$669b2o$
668bobo444b2o$670bo443bobo444b2o$1116bo443bobo444b2o$1562bo443bobo$
2008bo9$416b2o$415bobo444b2o$417bo443bobo444b2o$863bo443bobo444b2o$
1309bo443bobo$1755bo7$181bo$181b2o$180bobo$609b2o$608bobo444b2o$610bo
443bobo444b2o$1056bo443bobo444b2o$1502bo443bobo$1948bo469b3o$2418bo2bo
$2418bo$2418bo3bo$2418bo$2419bobo4$356b2o$355bobo444b2o$357bo443bobo
444b2o$803bo443bobo444b2o718b3o$1249bo443bobo717bo2bo$1695bo720bo$
2412bo3bo$2416bo$2413bobo3$2404bo$121bo2281b3o$121b2o2280bob2o$120bobo
2281b3o$549b2o1853b3o$548bobo444b2o1407b3o$550bo443bobo444b2o961b2o$
996bo443bobo444b2o$1442bo443bobo$1888bo9$296b2o$295bobo444b2o$297bo
443bobo444b2o$743bo443bobo444b2o$1189bo443bobo$1635bo7$61bo$61b2o$60bo
bo$489b2o$488bobo444b2o$490bo443bobo444b2o$936bo443bobo444b2o$1382bo
443bobo$1828bo9$236b2o$235bobo444b2o$237bo443bobo444b2o$683bo443bobo
444b2o$1129bo443bobo$1575bo7$bo$b2o$obo$429b2o$428bobo444b2o$430bo443b
obo444b2o$876bo443bobo444b2o$1322bo443bobo$1768bo2$2418b3o$2418bo2bo$
2418bo$2418bo3bo$2418bo$2419bobo2$176b2o$175bobo444b2o$177bo443bobo
444b2o$623bo443bobo444b2o$1069bo443bobo$1515bo898b3o$2413bo2bo$2416bo$
2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$369b2o2032bob2o$368bobo444b
2o1587b3o$370bo443bobo444b2o1141b3o$816bo443bobo444b2o695b3o$1262bo
443bobo695b2o$1708bo9$116b2o$115bobo444b2o$117bo443bobo444b2o$563bo
443bobo444b2o$1009bo443bobo$1455bo10$309b2o$308bobo444b2o$310bo443bobo
444b2o$756bo443bobo444b2o$1202bo443bobo$1648bo10$502b2o$501bobo444b2o$
503bo443bobo444b2o$949bo443bobo$1395bo10$249b2o$248bobo444b2o$250bo
443bobo444b2o$696bo443bobo444b2o$1142bo443bobo$1588bo4$2418b3o$2418bo
2bo$2418bo$2418bo3bo$2418bo$2419bobo$442b2o$441bobo444b2o$443bo443bobo
444b2o$889bo443bobo$1335bo2$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$
2413bobo3$189b2o2213bo$188bobo444b2o1766b3o$190bo443bobo444b2o1320bob
2o$636bo443bobo444b2o875b3o$1082bo443bobo875b3o$1528bo875b3o$2404b2o9$
382b2o$381bobo444b2o$383bo443bobo444b2o$829bo443bobo$1275bo11$575b2o$
574bobo444b2o$576bo443bobo444b2o$1022bo443bobo$1468bo10$322b2o$321bobo
444b2o$323bo443bobo444b2o$769bo443bobo$1215bo11$515b2o$514bobo444b2o$
516bo443bobo444b2o$962bo443bobo$1408bo6$2418b3o$2418bo2bo$2418bo$2418b
o3bo$262b2o2154bo$261bobo444b2o1709bobo$263bo443bobo444b2o$709bo443bob
o$1155bo4$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo2$455b2o$
454bobo444b2o1501bo$456bo443bobo444b2o1054b3o$902bo443bobo1054bob2o$
1348bo1055b3o$2404b3o$2404b3o$2404b2o8$648b2o$647bobo444b2o$649bo443bo
bo$1095bo11$395b2o$394bobo444b2o$396bo443bobo444b2o$842bo443bobo$1288b
o11$588b2o$587bobo444b2o$589bo443bobo$1035bo11$335b2o$334bobo444b2o$
336bo443bobo444b2o$782bo443bobo$1228bo8$2418b3o$2418bo2bo$2418bo$528b
2o1888bo3bo$527bobo444b2o1442bo$529bo443bobo1443bobo$975bo6$2414b3o$
2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo$721b2o$720bobo444b2o$722bo
443bobo1235bo$1168bo1234b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o
6$468b2o$467bobo444b2o$469bo443bobo$915bo12$661b2o$660bobo444b2o$662bo
443bobo$1108bo11$408b2o$407bobo444b2o$409bo443bobo$855bo12$601b2o$600b
obo444b2o$602bo443bobo$1048bo10$2418b3o$2418bo2bo$794b2o1622bo$793bobo
1622bo3bo$795bo1622bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$
541b2o1873bo$540bobo444b2o1424bobo$542bo443bobo$988bo$2404bo$2403b3o$
2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o5$734b2o$733bobo$735bo12$481b
2o$480bobo444b2o$482bo443bobo$928bo12$674b2o$673bobo$675bo13$867b2o$
866bobo$868bo12$614b2o1802b3o$613bobo1802bo2bo$615bo1802bo$2418bo3bo$
2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$807b2o1603bo3bo$806bobo1607b
o$808bo1604bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$
2404b2o3$554b2o$553bobo$555bo13$747b2o$746bobo$748bo27$687b2o$686bobo$
688bo14$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$
627b2o1784bo2bo$626bobo1787bo$628bo1783bo3bo$2416bo$2413bobo3$2404bo$
2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$
2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$
2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$
2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$
2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$
2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$
2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$
2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$
2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$
2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$
2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$
2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$
2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$
2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$
2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$
2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$
2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$
2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$
2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$
2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$
2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$
2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$
2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$
2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$
2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$
2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$
2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$
2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$
2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$
2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$
2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$
2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$
2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$
2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$
2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$
2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$
2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$
2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$
2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$
2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$
2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$
2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$
2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$
2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$
2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$
2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o63$2418b3o$
2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$2414b3o$2413bo2bo$2416bo$
2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$2403bob2o$2404b3o$2404b3o$
2404b3o$2404b2o63$2418b3o$2418bo2bo$2418bo$2418bo3bo$2418bo$2419bobo7$
2414b3o$2413bo2bo$2416bo$2412bo3bo$2416bo$2413bobo3$2404bo$2403b3o$
2403bob2o$2404b3o$2404b3o$2404b3o$2404b2o!


Eight glider streams are reflected off a stream of HWSS + 2MWSS spaceships which can be cleaned up with a single glider at the top. I think a helpful reason that there are no collisions between the incoming and outgoing gliders is because the displacement between consecutive gliders that hit the same spaceship constellation is 73x73 and we have that (73 + 73) mod 31 = 22 (which is as required) and also (73+73) mod 29 = 1, but I would be lying if I pretended to understand the maths here perfectly.

There are still at least a couple of issues to solve. It's probably not possible to efficiently produce forward streams separated by 146 lanes in the first place. Hopefully some bigger number (but not too big) will allow easy reflection of enough glider streams. Another issue is that the phase of the reflected gliders have to be the same as each other, so the original pattern will not work (the first two gliders need different phase there). Maybe this is all getting too complicated but if it could be made to work then it would give a front end supported by 3HWSS + 2MWSS altogether.

Also I wrote a script to search for more rakes of the "glider from messy collision" variety. Here is a raw dump of the output. I will work out which of these are workable in the 31c/240 setting and do a proper numbering when I find more time. I count 9 potential rakes at 3R and 26 potential rakes at 4R.

x = 3079, y = 7760, rule = B3/S23
556bobo$557b2o$557bo10$2426bobo$2427b2o$2427bo2$1471bo$1472bo$1470b3o
6$1922bobo$1923b2o$1923bo26$168bobo$169b2o$169bo3$637bo$638bo$636b3o$
1055bo$1056bo$1054b3o8$2506bobo$2507b2o$2507bo33$1551bo$1552bo$1550b3o
6$2002bobo$2003b2o$2003bo25$249bo$250bo$248b3o4$717bo$718bo$716b3o2$
1134bobo$1135b2o$1135bo6$2587bo$2588bo$2586b3o4$1630bobo$1631b2o$1631b
o4$2083bo$2084bo$2082b3o57$329bo$330bo$328b3o4$797bo$798bo$796b3o$
1215bo$1216bo$1214b3o7$2667bo$2668bo$2666b3o3$1711bo$1712bo$1710b3o5$
2163bo$2164bo$2162b3o30$326b2o$325bobo$327bo$798b2o$799b2o$798bo4$
1212b2o$1211bobo$1213bo8$2663b3o$2665bo$2664bo2$1708b2o$1707bobo$1709b
o7$2158b2o$2157bobo$2159bo34$724b2o$723bobo$725bo19$2584bo$2584b2o$
2583bobo9$248b3o$250bo1829b2o$249bo1829bobo$2081bo4$1136b3o$1138bo$
1137bo16$1628b2o$1627bobo$1629bo24$632bo$632b2o$631bobo7$2504bo$2504b
2o$2503bobo17$1055b2o$159bo894bobo$159b2o895bo$158bobo8$1554b3o$1556bo
$1555bo8$2003b3o$2005bo$2004bo41$562b2o$563b2o$562bo16$1474bo$1474b2o$
1473bobo4$2419b2o$2420b2o$2419bo$1924b3o$1926bo$1925bo657$1002bobo$
1003b2o$1003bo10$74bobo$75b2o$75bo54$2499bo$2500bo$154bobo2341b3o$155b
2o$155bo4$1595bo$1596bo$1594b3o11$1082bobo$1083b2o$1083bo21$639bo$640b
o$638b3o13$2578bobo$2579b2o$2579bo3$2047bo$2048bo$2046b3o12$1163bo$
1164bo$1162b3o11$234bobo$235b2o$235bo4$1675bo$1676bo$1674b3o23$2127bo$
2128bo$2126b3o9$719bo$720bo$718b3o13$2658bobo$2659b2o$2659bo17$1243bo$
1244bo$1242b3o10$315bo$316bo$314b3o5$1755bo$1756bo$1754b3o8$716b2o$
715bobo$717bo13$2207bo$2208bo$2206b3o15$1242b2o$1241bobo$1243bo6$2739b
o$2740bo$2738b3o3$312b2o$311bobo$313bo8$1750b2o$1751b2o$1750bo13$637bo
$637b2o1572b2o$636bobo1571bobo$2212bo28$1164b2o$1165b2o$1164bo$2734b2o
$2733bobo$2735bo18$1672b2o$1671bobo$1673bo19$2128b2o$2127bobo$232bo
1896bo$232b2o$231bobo17$2663b2o$2664b2o$2663bo5$1083b2o$1082bobo$1084b
o38$157bo$157b2o$156bobo10$1593b3o$1595bo$1594bo442b3o$2039bo$2038bo
18$2573b2o$2574b2o$2573bo23$1006bo$1006b2o$1005bobo8$79b2o$80b2o$79bo
56$2502bo$2502b2o$2501bobo646$638bobo$639b2o$639bo6$59bo$60bo$58b3o48$
718bobo$719b2o$719bo4$1230bobo$1231b2o$1231bo30$1775bo$139bo1636bo$
140bo1633b3o$138b3o$2711bo$2712bo$2710b3o44$799bo$800bo$798b3o5$1310bo
bo$1311b2o$219bo1091bo$220bo$218b3o28$1855bo$1856bo$1854b3o3$2790bobo$
2791b2o$2791bo12$2283bo$2284bo$2282b3o4$1391bo$1392bo$1390b3o23$879bo$
880bo$878b3o6$1935bo$299bo1636bo$300bo1633b3o$298b3o2$2870bobo$2871b2o
$2871bo12$2363bo$2364bo$2362b3o31$878b3o$880bo$879bo2$1471bo$1472bo$
1470b3o7$295b3o$297bo$296bo22$2015bo$2016bo$2014b3o2$2951bo$2952bo$
2950b3o13$2443bo$2444bo$2442b3o9$802b3o$804bo661b2o$803bo661bobo$1467b
o15$214b2o$213bobo$215bo6$2019b2o$2018bobo$2020bo10$2946b3o$2948bo$
2947bo11$2440bo$2440b2o$2439bobo18$1387bo$1387b2o$1386bobo$719bo$719b
2o$718bobo24$1936b2o$1935bobo$1937bo5$147b2o$146bobo2718b2o$148bo2717b
obo$2868bo16$2356b3o$2358bo$2357bo38$1314bo$1314b2o$1313bobo9$638bo$
638b2o$637bobo$1847bo$1847b2o$1846bobo8$2283bo$2283b2o$53b2o2227bobo$
52bobo$54bo8$2795bo$2795b2o$2794bobo28$1239bo$1239b2o$1238bobo41$1774b
2o$1773bobo$1775bo8$2703b2o$2702bobo$2704bo551$22bobo$23b2o$23bo10$
569bo$570bo$568b3o14$1605bo$1606bo$1604b3o10$2159bobo$2160b2o$2160bo
16$102bobo$103b2o$103bo12$2751bobo$2752b2o$2752bo12$1685bo$1686bo$
1684b3o13$649bo$650bo$648b3o9$1141bobo$1142b2o$1142bo14$2240bo$2241bo$
2239b3o589bobo$2832b2o$2832bo15$182bobo$183b2o$183bo10$729bo$730bo$
728b3o14$1765bo$1766bo$1764b3o9$2320bo$2321bo$2319b3o13$1221bobo$1222b
2o$1222bo15$2912bo$2913bo$2911b3o15$263bo$264bo$262b3o11$809bo$810bo$
808b3o8$1302bo$1303bo$1301b3o4$1845bo$1846bo$1844b3o9$2400bo$2401bo$
2399b3o14$267b2o$266bobo$268bo14$810b2o2180bo$811b2o2180bo$810bo2180b
3o8$1302b3o$1304bo$1303bo2$1847b2o$1846bobo$1848bo9$2402b3o$2404bo$
2403bo29$186b3o$188bo2805b3o$187bo2808bo$2995bo11$731b2o$730bobo$732bo
19$1212bo$1212b2o$1211bobo3$1756bo$1756b2o$1755bobo5$2315b3o$2317bo$
2316bo28$2909bo$2909b2o$98b2o2808bobo$97bobo$99bo6$649b2o$648bobo$650b
o19$1679bo$1679b2o$1678bobo34$2240b2o$2239bobo$2241bo$2830b3o$2832bo$
2831bo32$18bo$18b2o$17bobo3$572b2o$571bobo$573bo16$1605b2o$1606b2o$
1605bo16$2153bo$2153b2o$2152bobo23$2752b2o$2753b2o$2752bo552$670bobo$
671b2o$671bo6$38bobo$39b2o$39bo10$1270bobo$1271b2o$1271bo36$750bobo$
751b2o$751bo18$1350bobo$1351b2o$1351bo8$2903bo$2904bo$2902b3o7$118bobo
$119b2o$119bo33$2436bobo$2437b2o$2437bo13$830bobo$831b2o$831bo6$198bob
o$199b2o$199bo10$1430bobo$1431b2o$1431bo8$2983bo$2984bo$2982b3o41$
2517bo$2518bo$2516b3o13$911bo2151bo$912bo2151bo$910b3o2149b3o6$279bo$
280bo$278b3o10$1511bo$1512bo$1510b3o15$2003bo$2004bo$2002b3o3$2519b2o$
2518bobo$2520bo17$3061b3o$908b2o2153bo$907bobo2152bo$909bo4$278b2o$
277bobo$279bo5$1515b2o$1514bobo$1516bo48$2427bo$2427b2o$2426bobo7$
2979b2o$2978bobo$2980bo$200bo$200b2o$199bobo21$1421bo$1421b2o$830b2o
588bobo$829bobo$831bo43$2897b2o$2896bobo$2898bo5$114b3o$116bo$115bo18$
749bo$749b2o$748bobo18$1349b2o$1348bobo$1350bo34$29b2o$30b2o$29bo20$
662b2o$661bobo$663bo6$1274b3o$1276bo$1275bo574$733bo$734bo$732b3o33$
2833bobo$2834b2o$2834bo27$60bobo$61b2o$61bo2$2171bo$2172bo$2170b3o19$
813bo$814bo$812b3o32$2914bo$2915bo$2913b3o11$1771bo$1772bo$1770b3o9$
893bo$894bo$892b3o3$141bo$142bo$140b3o4$2250bobo$2251b2o$2251bo16$
1356bobo$1357b2o$1357bo3$2994bo$2995bo$2993b3o11$1851bo$1852bo$1850b3o
15$220bobo$221b2o$221bo3$2330bobo$2331b2o$2331bo16$1436bobo$1437b2o$
973bo463bo$974bo$972b3o32$3074bo$3075bo$3073b3o11$1931bo$1932bo$1930b
3o11$972b3o$974bo$973bo$301bo$302bo$300b3o3$2411bo$2412bo$2410b3o16$
1517bo$1518bo$1516b3o3$3076b3o$3078bo$3077bo15$1930b2o$1929bobo$1931bo
13$300b2o$299bobo$301bo5$893b3o$895bo$894bo1511b3o$2408bo$2407bo14$
1514bo$1514b2o$1513bobo19$2989b3o$2991bo$2990bo10$1848bo$1848b2o$1847b
obo9$222bo$222b2o$221bobo7$2328bo$2328b2o$2327bobo3$808b2o$809b2o$808b
o11$1434b2o$1435b2o$1434bo32$1767b3o$1769bo$1768bo9$2916b2o$2915bobo$
2917bo10$729b2o$728bobo$730bo4$1362bo$1362b2o$1361bobo12$2255bo$2255b
2o$2254bobo35$2838bo$2838b2o$2837bobo6$55b3o$57bo$56bo25$2174b2o$2173b
obo$2175bo637$620bobo$621b2o$621bo6$bo$2bo$3o78$701bo$702bo$700b3o8$
80bobo$81b2o$81bo46$781bo$782bo$780b3o7$161bo$162bo$160b3o78$861bo$
862bo$860b3o7$241bo$242bo$240b3o51$858bo$858b2o$245b2o610bobo$244bobo$
246bo70$775b3o$777bo$776bo7$155b2o$154bobo$156bo82$704b3o$706bo$705bo
2$89bo$89b2o$88bobo76$2b3o$4bo607bo$3bo608b2o$611bobo!
chris_c
 
Posts: 895
Joined: June 28th, 2014, 7:15 am

Re: 31c/240 caterpillar working notes

Postby codeholic » September 8th, 2014, 10:25 am

Has anyone understood how kickback arithmetics works applied to 31c/240 world? I made a couple of new double rakes, namely 2(29)h and 14(17)h, but I still don't get the maths behind it.

2(29)h:
x = 2713, y = 5971, rule = B3/S23
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b
2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b
2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o5$1561bo3bo$1022b2o536bo3bob2o4bo$1022b2o536bo3bob2o5bo$1560bo2b
2ob4o3bo$1549bo5b2o3bo4b2o2bo4bo$1013b2o3bo4b3o523b2o3b3o2bo2bo7b5o$
1013bob2o7b2o12b3o507bo4bo2bo2b3o8bo3bo$1013b3o3bo3bo2bo2b2o6b2ob2o
511b6obo10bobo$1014bo6bob2obo2b2o6bo2b2o511bob5o11b2o7bo$1015b2o9bo11b
2o509b2ob3o2b3o18bobo$1024b2o524bo2b2o24b2o$1017b2ob5o525b3o2$1546b2o
2b2o3$1022b2o540b2o$1022b2o540b2o8$1138b2o108b2o88b2o108b2o$1138b2o
108b2o88b2o108b2o2$1038bobo$1030b2o7b2o515b2o$1030b2o7bo516b2o3$1542bo
bo$1542b2o$1543bo12$1022b2o540b2o$1022b2o540b2o8$1138b2o108b2o88b2o
108b2o$1138b2o108b2o88b2o108b2o3$1030b2o524b2o$1030b2o524b2o17$1022b2o
540b2o$1022b2o540b2o5$1444b2o3$1248b2o88b2o$1137b5o106b2o88b2o110bobo$
1137bobob2o$1139bo3bo302bo3bo$1030b2o107b2ob3o300b3o5bo102b2o$1030b2o
100b2o5b2ob2o301b3o3b3o102b2o$1132b3o3bo2bo303b3o$952bo178bo2bo3b4o
314b3o$952bobo177b3o2bob2obo$952b2o178b2o3bo2b3o$1138bob3o2$1640bo$
1638bobo$1142b2o300b2o193b2o$1142b2o300b2o7$1022b2o114b2o308b2o114b2o$
1022b2o114b2o308b2o114b2o4$1165bobo$1166b2o$1166bo2$1248b2o88b2o$1098b
obo147b2o88b2o75bobo$1099b2o314b2o$1099bo316bo$1030b2o98b2o324b2o98b2o
$1030b2o98b2o324b2o98b2o$1482bobo$1482b2o$1483bo$1337b2o$1335bobobo$
1330bo3b4o2bo$1329b2o9bo$1328b2obo6bobo$1329bobo6b2o$1330b2o$1251b3o$
1251bo2bo$1249bo4bo82b2o$1249bob2ob2o$1104bo144bo2bob2o$1103bo146b4o$
1022b2o79b3o32b2o110b3o85b2o108b2o114b2o$1022b2o114b2o198b2o108b2o114b
2o$1255bo$1256b2o230bo$1255b2o232bo$1487b3o2$1327bo$1325b2o$1326b2o4$
1030b2o98b2o124b2o72b2o124b2o98b2o$1030b2o98b2o124b2o72b2o124b2o98b2o
17$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o12$1030b2o224b2o72b2o224b2o$892bo137b2o224b2o72b2o224b2o$892bobo
$892b2o3$1700bo$1698bobo$1699b2o10$1022b2o114b2o108b2o88b2o108b2o114b
2o$1022b2o114b2o108b2o88b2o108b2o114b2o12$1030b2o224b2o72b2o224b2o$
1030b2o224b2o72b2o224b2o13$1044bo$1043bo$1043b3o2$1022b2o114b2o108b2o
65bo22b2o108b2o114b2o$1022b2o114b2o108b2o66b2o20b2o108b2o98bo15b2o$
1315b2o232bo$1547b3o2$1267bo$1265b2o$1266b2o6$1030b2o224b2o72b2o224b2o
$1030b2o224b2o72b2o224b2o17$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o11$832bo$832bobo$832b2o3$1760bo$1758bob
o$1759b2o12$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o
88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o9$772bo$772bobo$772b2o3$1820bo$1818bobo$
1819b2o14$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o7$712bo$712bobo$712b2o3$1880bo$1878bobo$
1879b2o16$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o5$652bo$652bobo$652b2o3$1940bo$1938bobo$
1939b2o18$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o3$592bo$592bobo$592b2o3$2000bo$1998bobo$
1999b2o20$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o$532bo$532bobo$532b2o3$2060bo$2058bobo$
2059b2o22$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o30$472bo549b2o114b2o108b2o88b2o108b2o114b2o$
472bobo547b2o114b2o108b2o88b2o108b2o114b2o$472b2o3$2120bo$2118bobo$
2119b2o24$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o28$412bo$412bobo$412b2o608b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o2$2180bo$2178bobo$
2179b2o26$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o26$352bo$352bobo$352b2o2$1022b2o114b2o108b2o88b
2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o674bo$2238bobo$
2239b2o28$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o24$292bo$292bobo$292b2o3$2300bo$1022b2o114b2o
108b2o88b2o108b2o114b2o732bobo$1022b2o114b2o108b2o88b2o108b2o114b2o
733b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o22$232bo$232bobo$232b2o3$2360bo$2358bobo$2359b2o$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o20$172bo$172bobo$172b2o3$2420bo$2418bobo$2419b2o3$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o18$112bo$112bobo$112b2o3$2480bo$2478bobo$2479b2o5$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o$2475bo$2475b2o$2474bobo3$117bo$116b2o$116bobo22$1022b2o
114b2o108b2o88b2o108b2o114b2o849bo$1022b2o114b2o108b2o88b2o108b2o114b
2o849b2o$2414bobo3$177bo$176b2o$176bobo9$123bobo$124b2o$124bo3$2457bob
o$2457b2o$2458bo6$2355bo$2355b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
788bobo$1022b2o114b2o108b2o88b2o108b2o114b2o2$237bo$236b2o$236bobo22$
2295bo$2295b2o$2294bobo2$1022b2o114b2o108b2o88b2o108b2o114b2o$297bo
724b2o114b2o108b2o88b2o108b2o114b2o$296b2o$296bobo22$2235bo$2235b2o$
2234bobo3$357bo$356b2o664b2o114b2o108b2o88b2o108b2o114b2o$356bobo663b
2o114b2o108b2o88b2o108b2o114b2o13$183bobo$184b2o$184bo3$2397bobo$2397b
2o$2398bo2$2175bo$2175b2o$2174bobo3$417bo$416b2o$416bobo$1022b2o114b2o
108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o20$2115bo$
2115b2o$2114bobo3$477bo$476b2o$476bobo3$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o18$2055bo$2055b2o$2054bobo
3$537bo$536b2o$536bobo5$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o11$243bobo$244b2o$244bo3$1995bo341bobo$
1995b2o340b2o$1994bobo341bo3$597bo$596b2o$596bobo7$1022b2o114b2o108b2o
88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o14$1935bo$1935b
2o$1934bobo3$657bo$656b2o$656bobo9$1022b2o114b2o108b2o88b2o108b2o114b
2o$1022b2o114b2o108b2o88b2o108b2o114b2o12$1875bo$1875b2o$1874bobo3$
717bo$716b2o$716bobo11$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o9$303bobo$304b2o1509bo$304bo1510b2o$1814b
obo2$2277bobo$777bo1499b2o$776b2o1500bo$776bobo13$1022b2o114b2o108b2o
88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o8$1755bo$1755b2o
$1754bobo3$837bo$836b2o$836bobo15$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o6$1695bo$1695b2o$1694bobo3$897bo$
896b2o$896bobo17$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o4$1635bo$1635b2o$1634bobo$363bobo$364b2o$364bo
592bo$956b2o$956bobo$2217bobo$2217b2o$2218bo16$1022b2o114b2o108b2o88b
2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o2$1575bo$1575b2o$
1574bobo3$1017bo$1016b2o$1016bobo21$1022b2o114b2o108b2o88b2o108b2o114b
2o$1022b2o114b2o108b2o88b2o108b2o65bo48b2o$1515b2o$1514bobo3$1077bo$
1076b2o$1076bobo22$1455bo$1022b2o114b2o108b2o88b2o108b2o5b2o107b2o$
1022b2o114b2o108b2o88b2o108b2o4bobo107b2o3$1137bo$1136b2o$423bobo710bo
bo$424b2o$424bo3$2157bobo$2157b2o$2158bo15$1395bo$1395b2o$1394bobo$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o$1197bo$1196b2o$1196bobo22$1335bo$1335b2o$1334bobo3$1022b2o114b
2o108b2o7bo80b2o108b2o114b2o$1022b2o114b2o108b2o6b2o80b2o108b2o114b2o$
1256bobo22$1275bo$1275b2o$1274bobo3$1317bo$1316b2o$1022b2o114b2o108b2o
66bobo19b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o3$483bobo$
484b2o$484bo3$2097bobo$2097b2o$2098bo11$1215bo$1215b2o$1214bobo3$1377b
o$1376b2o$1376bobo2$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o19$1155bo$1155b2o$1154bobo3$1437bo$1436b2o$
1436bobo4$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o17$1095bo$1095b2o$1094bobo3$1497bo$1030bo465b2o$1028b2ob
2o463bobo$1028b2ob2o$1027b3obo$1030b3o3$1138b2o108b2o88b2o108b2o$1138b
2o108b2o88b2o108b2o107b2o$543bobo1010bo2bo$544b2o474b2o537bo6b2o$544bo
475b2o8b2o522bo3bo7b2o$1030b2o526bo$1554b4o6bo$1557b2o6bo471bobo$1563b
3o471b2o$2038bo$1019b2o$1021bo$1019bo2bo$1019bobo$1019b2o547b2o$1019b
2o547b2o$1035bo$1035b2o$1034bobo3$1557bo$1022b2o532b2o6b2o$1022b2o532b
obo5b2o8$1138b2o108b2o88b2o108b2o$1138b2o108b2o88b2o108b2o3$1030b2o
524b2o$1030b2o524b2o9$975bo$975b2o$974bobo634bobo$1612b2o$1612bo3b2o$
1615bobo$1617bo2$1022b2o540b2o$1022b2o540b2o8$1138b2o108b2o88b2o108b2o
$1138b2o108b2o88b2o108b2o3$1030b2o524b2o$1030b2o524b2o2$1138bo$1137bo
312bo$1139bo7bo301b4o57bo$1136bo2bo6bobo298bo5bo55bo$1025b2o107b2ob2o
6b2o2bo296bo3bo6b2o50b3o$1025bobo96b2o8b2o9bo3bo296bo5b2o2bo2bo$1025bo
99b2o4b2o5b2o8b2o296b2obobo4bo2b2o$1082bo41b2o5b2o14b3o298b2o5bo2b2o$
1083bo38b3o10bo319b4o$1081b3o38bo12bo4b2o414b2o$1122bo12bo3bo415bobo$
1140b2o415bo4$1022b2o114b2o308b2o114b2o$1022b2o114b2o308b2o114b2o7$
1460bobo$603bobo642b2o88b2o121b2o$604b2o642b2o88b2o121bo$604bo2$1030b
2o88bobo7b2o324b2o98b2o$1030b2o88b2o8b2o324b2o98b2o419bobo$1121bo855b
2o$1978bo2$1085b2o$1085bobo$1085bo3$1496b2o$1495bobo$1497bo6$1022b2o
114b2o308b2o114b2o$1022b2o114b2o308b2o114b2o7$1254bobo$1253bo$1254bo2b
o76b2o$1253b2obo77b2ob3o$1246b2o4b3obo78b6o$1030b2o98b2o114b2o4bo3bo
82b3o114b2o98b2o$1030b2o98b2o120bo3bo75bo123b2o98b2o$1253bo77b3o$1145b
2o183bo2bo$1145bobo182b3o$1145bo185bo3$1257bo178b2o$1258bo176bobo$
1244b2o12bo83b2o93bo$1244b2o96b2o7$1022b2o114b2o108b2o88b2o108b2o114b
2o$1022b2o114b2o108b2o88b2o108b2o114b2o11$1382bo$1030b2o224b2o72b2o50b
obo171b2o$1030b2o173b2o49b2o72b2o50b2o172b2o$1205bobo$1205bo171bo$
1378b2o$1377b2o13$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o
108b2o88b2o108b2o114b2o5$1520bobo$663bobo855b2o$664b2o855bo$664bo$
1292bo$1060bobo229bobo$1060b2o230b2o623bobo$1030b2o29bo194b2o72b2o224b
2o359b2o$1030b2o224b2o72b2o224b2o360bo$1300bo$1298bobo$1299b2o14$1022b
2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o
12$1030b2o224b2o72b2o224b2o$1030b2o224b2o72b2o224b2o11$2711bo$2711b2o$
2710bobo4$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b
2o108b2o114b2o2$2704b2o$2705b2o$2704bo18$2651bo$2651b2o$2650bobo6$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o1078b2o$2645b2o$2644bo2$723bobo$724b2o$724bo3$1857bobo$1857b2o$
1858bo9$2591bo$2591b2o$2590bobo3$bo$2o$obo$1023bo$1022bo1561b2o$1023bo
114b2o108b2o88b2o108b2o1135b2o$1022b3o113b2o108b2o88b2o108b2o114bo
1019bo$1022b2o535bob5o$1020b2ob2o533bo3bo2bo$7b2o1011bo538bo$6b2o1011b
o2bo3bo533bo2b3o$8bo1010bob2o2bobo524b2o4b2o4bo$1018b2o3bo4bo521bo7b2o
$1020b2o3bobo520b3o9bo$1021bob2obo520bo4b2o4bo$1022bo523bo3b3obo$1547b
obo4bo17b2o$1551bo2bo16bobo3bo$1552bo10bo14b2o$1018b2o549bo3bo$1018b2o
545b2o2b2ob2ob3o$1565b2o$1565b3o2bo$1570bo$1568b2o961bo$1585bo945b2o$
1586b2o942bobo$1022b2o540b2o19b2o$1022b2o540b2o$61bo$60b2o935bo$60bobo
932b2o$996b2o$2524b2o$2525b2o$2524bo$1138b2o108b2o88b2o108b2o$1138b2o
108b2o88b2o108b2o$67b2o$66b2o$68bo961b2o524b2o$1030b2o524b2o9$1536bo$
1536bobo$1536b2o$2471bo$2471b2o$1056bo1413bobo$1054bobo$1055b2o$121bo
900b2o540b2o$120b2o900b2o540b2o$120bobo2$2464b2o$2465b2o$2464bo3$127b
2o1009b2o108b2o88b2o108b2o$126b2o1010b2o108b2o88b2o108b2o$128bo$783bob
o$784b2o244b2o524b2o$784bo245b2o524b2o3$1797bobo$992b2o803b2o$992bobo
803bo$992bo3$1589b2o$1588bobo820bo$1590bo820b2o$2410bobo3$181bo$180b2o
$180bobo839b2o540b2o$1022b2o540b2o$2404b2o$2405b2o$2404bo3$187b2o$186b
2o944b2o$188bo942b3o114b2o88b2o111bo$1131b3o114b2o88b2o112bo$1131bo
316bobob2o$1134b2o4b2o305bobobo$1030b2o99b3obo4b2o304bo109b2o$1030b2o
99b4o312bo108b2o$1133b2o319b3o$1052b2o400bo2bo$1052bobo400b3o$1052bo2$
1452bo$1130bo398b2o$1129bobo396bobo820bo$1129bo12b2o300b2o84bo820b2o$
1130bo11b2o300b2o904bobo3$241bo$240b2o$240bobo2$1022b2o114b2o308b2o
114b2o778b2o$1022b2o114b2o308b2o114b2o779b2o$2344bo3$247b2o$246b2o$
248bo2$1248b2o88b2o$1248b2o88b2o3$1030b2o98b2o115bo208b2o98b2o$1030b2o
80b2o16b2o114bobo207b2o98b2o$1112bobo128b2o4bo$1112bo129bobobobo5bo82b
o71bo$1241b2obo8b2o81b4o69bobo$1240b3o10bobo2bo2bo73b6o4b2o62b2o$1240b
3o14bo3bo3b3o66b2o4bo3bo2bo121b2o$1239bo2bo14b2o2bo63b2o17bobo3bo117bo
bo820bo$1183bo54b2ob3o8b3o69b2ob2o9bo5b2o5b2o117bo5bo814b2o$1181bobo
54b2ob3o8b3o8bo3bo55bo4bo7b2o8bo3b2o124bobo811bobo$1182b2o55bo2bo10bob
o4bo2bo2bo55b3o3bo18b2o127b2o$1254b2o4bo3bo56bo4b2o7bo$301bo930bo8b3o
77bobo10b2o$300b2o814bo113b2o90b2o10b2o$300bobo811bobo114b2o$1115b2o$
2284b2o$2285b2o$1022b2o114b2o108b2o88b2o108b2o114b2o718bo$1022b2o114b
2o108b2o88b2o108b2o114b2o2$307b2o$306b2o$308bo5$843bobo647bobo$844b2o
648b2o$844bo327b2o320bo$1030b2o98b2o40bobo81b2o72b2o124b2o98b2o$1030b
2o98b2o40bo83b2o61bo10b2o124b2o98b2o$1087bobo229bobo415bobo$1087b2o
230b2o416b2o$1088bo320b2o327bo$1408bobo820bo$1273bo136bo820b2o$1271bob
o956bobo$1272b2o2$361bo$360b2o$360bobo2$2224b2o$2225b2o$2224bo2$1022b
2o114b2o108b2o88b2o108b2o114b2o$367b2o653b2o114b2o108b2o88b2o108b2o
114b2o$366b2o$368bo10$1030b2o224b2o72b2o224b2o$1030b2o224b2o72b2o224b
2o2$2171bo$2171b2o$2170bobo3$421bo$420b2o$420bobo2$2164b2o$2165b2o$
2164bo$1346b2o$1346bobo$427b2o917bo$426b2o594b2o114b2o108b2o88b2o108b
2o114b2o$428bo593b2o114b2o108b2o88b2o108b2o114b2o$1235b2o$1234bobo$
1236bo9$1030b2o524b2o$1030b2o524b2o553bo$2111b2o$2110bobo3$481bo$480b
2o$480bobo2$2104b2o$2105b2o$2104bo$1406b2o$1406bobo$487b2o917bo$486b2o
$488bo$1022b2o114b2o35b2o71b2o88b2o108b2o114b2o$1022b2o114b2o34bobo71b
2o88b2o108b2o114b2o$1176bo6$903bobo124b3o520bobo$904b2o124bo2bo520b2o$
904bo123bo5bo519bo$1028bobo4bo$1028b3o2bobo223bo791bo$1034bo224bobo
294b2o119bobo371b2o$1259b2o295b2o119b2o371bobo$1678bo2$541bo791bo$540b
2o789bobo$540bobo789b2o2$2044b2o$2045b2o$2044bo$1466b2o$1466bobo$547b
2o917bo$546b2o$548bo$1115b2o$1114bobo$1022b2o92bo21b2o108b2o88b2o108b
2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o3$1565b2o$1564bo2bo2bo$
1564bob4ob2o$1025b2o532b3o3bo2b2o2bo$1024b2o532bo2bo9b2o$1015b3o3bo3bo
bo519bo9b2obo$1014bo3b2ob3o3bo6b3o510bo3b3obo18b2o415bo$1014b2o3bo3b4o
6b5o509bo7bob4o13b2o415b2o$1009bo4bo3bo4bo8bob5o517b2o3bo10bo2bo414bob
o$1009bobo3bobo6b3o4b2ob3o2b2o516bo2bo10bo2bo$1009b2o4bo16b3o2bob2o
516bo2bo9bo4bo$601bo422bo8bo6b2o515b3o9b2o3bo$600b2o423bo11bo2bo529b2o
$600bobo434b3o531bo11bo$1581bobo$1582b2o400b2o$1985b2o$1984bo$1022b2o
502b2o36b2o$1022b2o502bobo35b2o$607b2o917bo$606b2o$608bo$1055b2o$1054b
obo$1056bo2$1138b2o108b2o88b2o108b2o$1138b2o108b2o88b2o108b2o3$1030b2o
524b2o$1030b2o524b2o$1041bobo$1042b2o$1042bo888bo$1931b2o$1930bobo$
1539bobo$1539b2o$661bo878bo$660b2o$660bobo2$1924b2o$1925b2o$1924bo$
1586b2o$1586bobo$667b2o353b2o540b2o20bo$666b2o354b2o540b2o$668bo$995b
2o$994bobo$996bo4$1138b2o108b2o88b2o108b2o$1138b2o108b2o88b2o108b2o3$
1030b2o524b2o$1030b2o524b2o$963bobo905bo$964b2o905b2o$964bo905bobo2$
1199bo$721bo477bobo415bobo$720b2o477b2o416b2o$720bobo895bo2$1393bo470b
2o$1391bobo471b2o$1392b2o192b2o276bo$1587b2o$1586bo$727b2o$726b2o$728b
o276b2o15b2o540b2o$1004b2o16b2o540b2o$1006bo4$1141bo$1137b2ob3o$1136bo
5bo$1135bo4b4o104b2o88b2o$1135bo7bo104b2o88b2o$1134b2o2b2o3bo$1135bobo
5bo$1030b2o104bo2bob2o308bo104b2o253bo$1030b2o418bobo103b2o253b2o$
1138b2ob2o303bo2b2ob2o356bobo$1129b3o8bo305bo3bobo$1446bo5bob2o$781bo
669b2ob2o$780b2o671bo$780bobo2$1804b2o$1142b2o300b2o359b2o$1142b2o300b
2o80b2o276bo$1527b2o$1526bo$787b2o$786b2o$788bo276b2o$1064b2o$1022b2o
42bo71b2o308b2o114b2o$1022b2o114b2o308b2o114b2o7$1169bo$1170b2o76b2o
88b2o$1169b2o77b2o88b2o$1751bo$1751b2o$1030b2o69bobo26b2o281bo42b2o98b
2o192bobo$1030b2o70b2o26b2o279b2o43b2o98b2o$1102bo309b2o$841bo497bo$
840b2o496b2o$840bobo408b2o83b3o140bobo$1250bo87bo6b2o132b2o$1249bo3b3o
80b2o6b4o132bo263b2o$1249bo2b5o64bobo19bo4bo396b2o$1249b2o5b2o63bo2bo
6b2o3bo5b3ob2o118b2o276bo$1255b2o64bo2bo6b2o2bobo4bo2b2o120b2o$1249b2o
71b2o11bobob3o3bo120bo$847b2o487bobo3bobo$846b2o404bo90bo$848bo276b2o
122b3o$1124b2o$1126bo2$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o
114b2o108b2o88b2o108b2o114b2o$1100bo$1100bobo$1100b2o2$1259bo$1260b2o
230bo$1259b2o229bobo$1491b2o198bo$1691b2o$1323bo366bobo$1321b2o$1023bo
bo4b2o98b2o124b2o64b2o6b2o124b2o98b2o$901bo122b2o4b2o98b2o124b2o72b2o
124b2o98b2o$900b2o122bo$900bobo$1139bo$1139bobo415bobo124b2o$1139b2o
416b2o126b2o$1406b2o150bo125bo$1407b2o$1406bo46bo$907b2o542bobo$906b2o
544b2o$908bo276b2o$1184b2o$1186bo4$1022b2o114b2o108b2o88b2o108b2o114b
2o$1022b2o114b2o108b2o88b2o108b2o114b2o6$1631bo$1631b2o$1630bobo3$961b
o$960b2o68b2o224b2o72b2o224b2o$960bobo67b2o224b2o72b2o224b2o2$1624b2o$
1625b2o$1624bo3$967b2o$966b2o$968bo8$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o4$1571bo$1571b2o$1570bobo3$
1021bo$1020b2o$1020bobo$1030b2o224b2o72b2o224b2o$1030b2o224b2o72b2o
224b2o6b2o$1565b2o$1564bo3$1027b2o$1026b2o$1028bo10$1022b2o16bo97b2o
108b2o88b2o108b2o114b2o$1022b2o16bobo95b2o108b2o88b2o108b2o114b2o$
1040b2o$1511bo$1319bo191b2o$1320b2o188bobo39bo$1319b2o229bobo$1551b2o$
1081bo$1080b2o181bo$1080bobo178b2o$1262b2o$1504b2o$1030b2o224b2o72b2o
173b2o49b2o$1030b2o224b2o72b2o172bo51b2o3$1087b2o$1086b2o$1088bo12$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o9$1444b2o$1445b2o$1444bo3$1147b2o$1146b2o$1148bo14$1022b2o114b2o
108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o7$1384b2o$
1385b2o$1384bo3$1207b2o$1206b2o$1208bo16$1022b2o114b2o108b2o88b2o108b
2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o5$1324b2o$1325b2o$1324bo
3$1267b2o$1266b2o$1268bo18$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o3$1264b2o$1265b2o$1264bo3$1327b2o$1326b
2o$1328bo20$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o
88b2o108b2o114b2o$1204b2o$1205b2o$1204bo3$1387b2o$1386b2o$1388bo22$
1022b2o114b2o4b2o102b2o88b2o108b2o114b2o$1022b2o114b2o5b2o101b2o88b2o
108b2o114b2o$1144bo3$1447b2o$1446b2o$1448bo22$1084b2o$1085b2o$1028b2o
54bo53b2o108b2o88b2o108b2o$1028b2o108b2o108b2o88b2o108b2o$1030bo$1020b
2o5b2obo476b2o52b3o$1020b2o3b2o3bo475b2o52bo$1508bo50b2o$1031bo527b3o
3b3o$1030bobo525bo4bo3bo$1026bo536bo3bo$1026bo531b4obo$1028bobo527bob
2o$1559b3o$1029bobo$1030bo$1018b2o10bo537b2o$1018b2o548b2o7$1022b2o
540b2o$1022b2o540b2o4$1024b2o$1025b2o$1024bo2$1138b2o108b2o88b2o108b2o
$1138b2o108b2o88b2o108b2o117b2o$1566b2o$1568bo$1030b2o524b2o$1030b2o
524b2o43bo$1602b2o$1601b2o3$981bo$979b2o$980b2o10$1022b2o540b2o$1022b
2o540b2o$975b3o$975bo$976bo3$1605b3o$1520bo86bo$1138b2o108b2o88b2o108b
2o70bobo83bo$1138b2o108b2o88b2o108b2o70b2o3$1030b2o40bo483b2o$1030b2o
38bobo483b2o$1071b2o10$1134b3o$1133bo2bo$1133bo4bo$1132b2ob2obo$1132b
2obo2bo317bo$1134b4o317b3o$1022b2o11b3o97b3o316b4o106b2o$1022b2o11bo
528b2o$1036bo95bo$1130b2o322b4o$1131b2o321b4o$1455bo89b3o$1547bo$1546b
o2$1248b2o88b2o$1248b2o88b2o2$1446b2o$1030b2o98b2o314b2o8b2o98b2o$
1030b2o98b2o324b2o98b2o3$1444b3o$1443bo3bo$1443b2ob2o$1442bob2ob2o$
1441b2o5b2o$1441b2obo3b2o$1443bo6$1095b3o$1095bo$1022b2o72bo41b2o308b
2o114b2o$1022b2o114b2o308b2o114b2o2$1485b3o$1487bo$1486bo4$1338b3o$
1340bo$1338bobobo$1246bo91b2o2b3o$1030b2o98b2o114bo6b2o88b2o111b2o98b
2o$1030b2o98b2o122bo88b2o111b2o98b2o$1245bobo4b3o$1245bobo8b3o70b3o8bo
$1246bo$1342bo$1341bo4$1244b2o96b2o$1244b2o96b2o3$1155b3o$1155bo$1156b
o2$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o53bo
31b3o20b2o114b2o$1392bo34bo$1392b3o31bo3$1199bo166bobo91bo$1200bo166b
2o91bobo$1198b3o166bo92b2o$1129bo$1127b2o$1127b2ob2o82bobo$1128bob2o
82b2o$1030b2o96bo2bo83bo40b2o72b2o124b2o98b2o$1030b2o97b2o125b2o72b2o
124b2o98b2o12$1510bo$1511b2o$1510b2o2$1303bo$1022b2o48bo65b2o108b2o52b
o35b2o108b2o114b2o$1022b2o46b2o66b2o108b2o52b3o33b2o108b2o114b2o$1071b
2o2$1289bo$1290bo$1288b3o7$1030b2o224b2o72b2o224b2o$1030b2o224b2o72b2o
224b2o17$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o12$1030b2o224b2o72b2o224b2o$1030b2o224b2o72b2o224b2o17$
1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o
114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b2o88b2o
108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b2o108b
2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b2o114b
2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o$1022b
2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o114b2o
$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o108b2o
114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o30$1022b2o114b2o108b2o88b2o
108b2o114b2o$1022b2o114b2o108b2o88b2o108b2o114b2o!


14(17)h (not optimized for bounding box yet):
x = 3673, y = 6188, rule = B3/S23
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b
2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o
$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b
2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b
2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b
2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o
30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b
2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o
$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b
2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b
2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b
2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o
30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b
2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o
$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b
2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b
2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b
2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o
30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b
2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o
$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b
2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o29$1478b2o$
1478b3o107b2o108b2o88b2o108b2o107bo$1478b3o107b2o108b2o88b2o108b2o106b
3o$1480bo524b2obo$1470b2o4b2o538b2o$1470b2o4bob3o535b2o$1477b4o$1477b
2o2$2014bobo$2015b2o$2015bo2$1481bo$1480bobo$1468b2o12bo535b2o$1468b2o
11bo536b2o7$1472b2o540b2o$1472b2o540b2o8$1588b2o108b2o88b2o108b2o$
1588b2o108b2o88b2o108b2o3$1480b2o524b2o$1480b2o524b2o7$1428bo$1428bobo
$1428b2o3$2064bo$2062bobo$2063b2o3$1472b2o540b2o$1472b2o540b2o8$1588b
2o108b2o88b2o108b2o$1588b2o108b2o88b2o108b2o3$1480b2o524b2o$1480b2o
524b2o$1522bobo$1523b2o$1523bo$1898bo$1896bob2o8bo$1895b3o2bo7b3o47bob
o$1894b2ob5o2bo2bo3bo46b2o$1585bo309bob2o5b3o4bo47bo$1584b3o309b6o2b3o
bob2o$1583bo2bo310b4o3b2o3bo$1582b3o2b2o$1583bo2b3o$1584b2o2b2o$1587b
3o$1584b4obo$1584b2o2b2o$1472b2o113b2o309b2o114b2o$1472b2o424b2o114b2o
2$1580bo$1579bo$1579b3o3$1912bo$1698b2o88b2o123bo$1698b2o88b2o121b3o3$
1480b2o98b2o324b2o98b2o$1480b2o98b2o324b2o98b2o17$1472b2o114b2o308b2o
114b2o$1472b2o114b2o308b2o114b2o9$1784b3obo$1790bo$1784b2o5bo$1480b2o
98b2o121b3o80b2o3bo114b2o98b2o$1480b2o98b2o120bo2b2o74b3o6bo115b2o98b
2o$1702b2obobo73bobo$1695b3o4b3o75bo2bo$1780bobo$1780b3o$1368bo$1368bo
bo$1368b2o2$1694b2o96b2o$1694b2o96b2o330bo$2122bobo$2123b2o5$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o7$
1579b3o67bobo$1578bo2bo68b2o$1577bo5bo66bo$1576bo4bobo80bo$1576bobo2b
3o79bo$1480b2o95bo85b3o40b2o72b2o49bobo172b2o$1480b2o224b2o72b2o49b2o
173b2o$1832bo$1828bo$1829bo$1827b3o13$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o46bo67b2o108b2o88b2o108b2o114b2o$1519bo$1519b3o2$1739bo$
1740b2o230bo$1739b2o232bo$1971b3o2$1743bo$1741b2o$1742b2o$1480b2o224b
2o72b2o224b2o$1480b2o224b2o72b2o224b2o17$1472b2o114b2o108b2o88b2o108b
2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o12$1480b2o224b2o72b2o224b
2o$1480b2o224b2o72b2o224b2o3$1308bo$1308bobo$1308b2o3$2184bo$2182bobo$
2183b2o7$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o14$1248bo$1248bobo$1248b2o3$2244bo$2242bobo$
2243b2o9$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o12$1188bo$1188bobo$1188b2o3$2304bo$2302bobo$
2303b2o11$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o10$1128bo$1128bobo$1128b2o3$2364bo$2362bo
bo$2363b2o13$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o
88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o8$1068bo$1068bobo$1068b2o3$2424bo$2422bob
o$2423b2o15$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o
88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o6$1008bo$1008bobo$1008b2o3$2484bo$2482bob
o$2483b2o17$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o
88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o4$948bo$948bobo$948b2o3$2544bo$2542bobo$
2543b2o19$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o2$888bo$888bobo$888b2o3$2604bo$2602bobo$
2603b2o21$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$828bo
643b2o114b2o108b2o88b2o108b2o114b2o$828bobo$828b2o3$2664bo$2662bobo$
2663b2o23$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o29$768bo$768bobo701b2o114b2o108b2o88b2o108b2o
114b2o$768b2o702b2o114b2o108b2o88b2o108b2o114b2o3$2724bo$2722bobo$
2723b2o25$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o27$708bo$708bobo$708b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o$2784bo$2782bobo$
2783b2o27$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o25$648bo$648bobo$648b2o3$1472b2o114b2o108b2o88b
2o108b2o114b2o828bo$1472b2o114b2o108b2o88b2o108b2o114b2o826bobo$2843b
2o29$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b
2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b
2o108b2o114b2o23$588bo$588bobo$588b2o3$2904bo$2902bobo$1472b2o114b2o
108b2o88b2o108b2o114b2o887b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o21$528bo$528bobo$528b2o3$2964bo$2962bobo$2963b2o2$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o19$468bo$468bobo$468b2o3$3024bo$3022bobo$3023b2o4$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o17$408bo$408bobo$408b2o3$3084bo$3082bobo$3083b2o6$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o15$348bo$348bobo$348b2o3$3144bo$3142bobo$3143b2o8$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o13$288bo$288bobo$288b2o3$3204bo$3202bobo$3203b2o10$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o11$228bo$228bobo$228b2o3$3264bo$3262bobo$3263b2o12$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o9$168bo$168bobo$168b2o3$3324bo$3322bobo$3323b2o14$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o7$108bo$108bobo$108b2o3$3384bo$3382bobo$3383b2o16$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o5$48bo$48bobo$48b2o3$3444bo$3442bobo$3443b2o18$1472b2o114b
2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b
2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o
30$1472b2o114b2o108b2o88b2o108b2o114b2o1423bo$1472b2o114b2o108b2o88b2o
108b2o114b2o1423b2o$3438bobo$17bobo$18b2o$18bo34bo$52b2o$52bobo$3463bo
bo$3463b2o$3464bo19$3379bo$3379b2o$1472b2o114b2o108b2o88b2o108b2o114b
2o1362bobo$1472b2o114b2o108b2o88b2o108b2o114b2o2$113bo$112b2o$112bobo
22$3319bo$3319b2o$3318bobo2$1472b2o114b2o108b2o88b2o108b2o114b2o$173bo
1298b2o114b2o108b2o88b2o108b2o114b2o$172b2o$172bobo22$3259bo$3259b2o$
3258bobo3$233bo$232b2o1238b2o114b2o108b2o88b2o108b2o114b2o$77bobo152bo
bo1237b2o114b2o108b2o88b2o108b2o114b2o$78b2o$78bo3$3403bobo$3403b2o$
3404bo15$3199bo$3199b2o$3198bobo3$293bo$292b2o$292bobo$1472b2o114b2o
108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o20$3139bo$
3139b2o$3138bobo3$353bo$352b2o$352bobo3$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o18$3079bo$3079b2o$3078bobo
3$413bo$412b2o$412bobo4$137bobo$138b2o1332b2o114b2o108b2o88b2o108b2o
114b2o$138bo1333b2o114b2o108b2o88b2o108b2o114b2o3$3343bobo$3343b2o$
3344bo11$3019bo$3019b2o$3018bobo3$473bo$472b2o$472bobo7$1472b2o114b2o
108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o14$2959bo$
2959b2o$2958bobo3$533bo$532b2o$532bobo9$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o12$2899bo$2899b2o$2898bobo
3$593bo$592b2o$592bobo8$197bobo$198b2o$198bo$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o$3283bobo$3283b2o$
3284bo7$2839bo$2839b2o$2838bobo3$653bo$652b2o$652bobo13$1588b2o108b2o
88b2o108b2o$1588b2o108b2o88b2o108b2o$1475bo535b3o$1469b3o538bo2bo$
1475bobo534b2o$1468bo3bo3b2o534bo2b3o$1469bobo4bo4bo526bo3bobo3bo$
1470bo10bo526bo3bo5bo$1481bo526bo3bobob2o$2007bo2b2obo765bo$2007bo2bo
768b2o$2008bo2bo766bobo$2009b2o2$713bo754b2o548b2o$712b2o754b2o548b2o$
712bobo6$1472b2o540b2o$1472b2o540b2o8$1588b2o108b2o88b2o108b2o$1439bo
148b2o108b2o88b2o108b2o$1439bobo$1439b2o$1480b2o524b2o$1480b2o524b2o$
2053bo$2051bobo665bo$2052b2o665b2o$2718bobo3$773bo$772b2o$772bobo8$
1472b2o540b2o$1472b2o540b2o3$257bobo1251bobo$258b2o1252b2o$258bo1253bo
543b2o$2055bobo$2057bo$1588b2o108b2o88b2o108b2o69bobo1251bobo$1588b2o
108b2o88b2o108b2o69b2o1252b2o$1435b2o533bo1253bo$1435bobo$1435bo44b2o
524b2o$1480b2o524b2o651bo$2659b2o$2658bobo3$833bo$832b2o$832bobo3$
1419b3o644b3o2$1417bo5bo640bo5bo$1417bo5bo640bo5bo$1417bo5bo482bo157bo
5bo$1905b2o$1419b3o482bo2bo158b3o$1472b2o430bobo107b2o$1472b2o430bo2bo
106b2o$1904bo2bo$1905bobo$1904b3o89b2o$1581bo413bobo$1580b3o414bo$
1579b2o2bo$1579b2ob2o$1495b2o85b3o113b2o88b2o$1495bobo82bob2o114b2o88b
2o$1495bo83bo2bo$1582bo7b2o304b2o701bo$1480b2o97bobo8b2o304b2o8b2o98b
2o591b2o$1480b2o98bo325b2o98b2o590bobo2$1894b3o$893bo1000b3o$892b2o
999b4o$892bobo695bobo298b2obo$1591b2o298b2ob2o$1591bo299b5o2b2o$1892b
3o$1592b2o298bo$1419b3o170b2o472b3o2$1417bo5bo640bo5bo$1417bo5bo640bo
5bo$1417bo5bo640bo5bo2$1419b3o644b3o$1472b2o114b2o308b2o114b2o$1472b2o
114b2o308b2o114b2o$1936b2o$1935bobo$1937bo3$1555b2o$1555bobo231b2o$
1555bo142b2o88bobo$1697bob2o4bo82bobo748bo$1696b2o2bo3b2o81b2obob2o
745b2o$1696b2o3b5o82b6o744bobo$1480b2o98b2o114bobo2bo90bo2bo110b2o98b
2o$1480b2o98b2o114bobobobobo89bo111b2o98b2o$953bo742bobobob3o$952b2o
743bo3b2o76b3o$952bobo$1714b3o2$1713bo3bo$1713bo3bo$1694bo$1695bo18b3o
75b2o$1419b3o270bo2bo96b2o272b3o$1688b3ob3o$1417bo5bo264b2o3bo370bo5bo
$1417bo5bo263b3o2b3o369bo5bo$1417bo5bo216bo48bobobo370bo5bo$1638bobo
50b2o$1419b3o217b2o50bo374b3o$1472b2o114b2o108b2o88b2o86b2o20b2o114b2o
$1472b2o114b2o85bo22b2o88b2o85bobo20b2o114b2o$317bobo1251bobo99b2o167b
o34bo$318b2o1252b2o100b2o166bobo$318bo1253bo269b2o$1615b2o$1615bobo
199bo$1615bo202b2o89bobo1251bobo$1817b2o90b2o568bo683b2o$1910bo568b2o
683bo$2478bobo3$1013bo466b2o98b2o124b2o72b2o124b2o98b2o$1012b2o466b2o
98b2o124b2o72b2o124b2o98b2o$1012bobo7$1530bobo$1530b2o$1419b3o109bo
534b3o2$1417bo5bo306bo333bo5bo$1417bo5bo304bobo229bobo101bo5bo$1417bo
5bo305b2o230b2o101bo5bo$1961bo$1419b3o644b3o$1472b2o114b2o108b2o52bo
35b2o108b2o114b2o$1472b2o114b2o108b2o52bobo33b2o108b2o114b2o$1752b2o4$
2419bo$2419b2o$2418bobo3$1073bo$1072b2o$1072bobo405b2o224b2o72b2o224b
2o$1480b2o224b2o72b2o224b2o10$1419b3o644b3o2$1417bo5bo640bo5bo$1417bo
5bo640bo5bo$1417bo5bo640bo5bo2$1419b3o644b3o$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o3$2359bo$2359b2o$
2358bobo3$1133bo$1132b2o$1132bobo2$1480b2o224b2o72b2o224b2o$1480b2o
224b2o72b2o224b2o10$1419b3o644b3o2$1417bo5bo640bo5bo$1417bo5bo640bo5bo
$1417bo5bo640bo5bo2$1419b3o644b3o$377bobo1092b2o114b2o108b2o88b2o108b
2o114b2o$378b2o1092b2o114b2o108b2o88b2o108b2o114b2o$378bo1920bo$2299b
2o$2298bobo$3103bobo$3103b2o$1193bo1910bo$1192b2o$1192bobo15$1419b3o
644b3o2$1417bo5bo640bo5bo$1417bo5bo640bo5bo$1417bo5bo640bo5bo2$1419b3o
644b3o$1472b2o114b2o108b2o88b2o108b2o114b2o223bo$1472b2o114b2o108b2o
88b2o108b2o114b2o223b2o$2238bobo3$1253bo$1252b2o$1252bobo17$1419b3o
644b3o2$1417bo5bo640bo5bo$1417bo5bo640bo5bo$1417bo5bo640bo5bo$2179bo$
1419b3o644b3o110b2o$1478b2o108b2o108b2o88b2o108b2o278bobo$1478bobo107b
2o108b2o88b2o108b2o107b2o$1477bo2bo525bobo$1313bo156b2o4b2o2b2o524b3o
7b2o$1312b2o156b2o4b2obo524b5o7b2o$1312bobo689b2o$1481bo523b2obo4bo$
1481bo525bo6b2o$2007bo5b2o$1477bo2$1479b2o$1480bo$1479b3o$1468b2o548b
2o$1468b2o548b2o7$1472b2o540b2o$1472b2o540b2o$1419b3o644b3o2$1417bo5bo
640bo5bo$1417bo5bo640bo5bo48bo$1417bo5bo640bo5bo48b2o$437bobo1678bobo$
438b2o979b3o644b3o$438bo1149b2o108b2o88b2o108b2o$1373bo214b2o108b2o88b
2o108b2o$1372b2o$1372bobo1668bobo$1480b2o524b2o1035b2o$1480b2o524b2o
1036bo5$1430bo$1429bo$1429b3o3$2062bo$2063bo$2061b3o5$1472b2o540b2o$
1472b2o540b2o$1419b3o644b3o2$1417bo5bo640bo5bo$1417bo5bo640bo5bo$1417b
o5bo632bo7bo5bo$2056b2o$1419b3o633bobo8b3o$1588b2o108b2o88b2o108b2o$
1588b2o108b2o88b2o108b2o$1436bo$1435b2o$1435bobo42b2o39bo484b2o$1480b
2o40b2o482b2o$1521b2o3$1961bo$1959b2o$1960b2o9$1905b3o$1904bo$1472b2o
430bo2bo106b2o$1472b2o431b2o107b2o$1905b2o$1904bo2bo$1907bo88bo$1904b
2o90b2o$1580b3o412bobo$1580bo2bo$1579bo3bo$1496bo83bo2b2o113b2o88b2o$
1495b2o85bo115b2o88b2o$1495bobo82b2o$1579b3o8b2o304b2o$1480b2o97b3o8b
2o304b2o8b2o98b2o$1480b2o424b2o98b2o2$1895bo$1894b3o$1591bo301bo3bo$
1592bo299bo$1590b3o298b2ob2o3bo$1894b2o$1891bo6b2o$1592b2o298b2o$1592b
2o7$1472b2o114b2o308b2o114b2o$1472b2o114b2o308b2o114b2o$1936bo$1936b2o
$1935bobo$497bobo$498b2o$498bo1057bo$1555b2o232bo$1555bobo140bo90b2o$
1697bob2o87bobo1192bobo$1697bo3bo2b3o81bobobo1190b2o$1697bo5bo84b2ob2o
bo1189bo$1480b2o98b2o115b2obobo92bo110b2o98b2o$1480b2o98b2o114bobobo4b
o87b2o111b2o98b2o$1696bobobob3o75bo$1697bo3b2o77bo$1780bo$1715bo$1714b
3o$1713bobobo$1713bobobo$1693b2o19b3o$1691bo3bo19bo76b2o$1689bo5bo96b
2o$1689bobob2o$1688bo4bo$1688bo4bo$1638bobo47bo4bo$1639b2o49b3o$1639bo
$1472b2o114b2o108b2o88b2o86bo21b2o114b2o$1472b2o114b2o84bo23b2o88b2o
86b2o20b2o114b2o$1674bobo165bobo30bobo$1674b2o166b2o$1843bo$1616bo$
1615b2o201bo$1615bobo198bobo$1817b2o$1578bo$1577bo2bo$1580b2o$1578bo3b
o$1480b2o96bo2bo124b2o72b2o224b2o$1480b2o97b2o125b2o72b2o224b2o7$1531b
o$1530bo$1530b3o3$1728bobo230bo$1729b2o231bo$1729bo230b3o3$1472b2o114b
2o108b2o52bobo33b2o108b2o114b2o$1472b2o114b2o108b2o52b2o34b2o108b2o
114b2o$1753bo11$1480b2o224b2o72b2o224b2o$1480b2o224b2o72b2o224b2o17$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o2$557bobo$558b2o$558bo3$2923bobo$2923b2o$2924bo3$1480b2o224b2o
72b2o224b2o$1480b2o224b2o72b2o224b2o17$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b
2o88b2o108b2o114b2o$617bobo852b2o114b2o108b2o88b2o108b2o114b2o$618b2o$
618bo3$2863bobo$2863b2o$2864bo23$1472b2o114b2o108b2o88b2o108b2o114b2o$
1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o29$677bobo$678b2o792b2o114b
2o108b2o88b2o108b2o114b2o$678bo793b2o114b2o108b2o88b2o108b2o114b2o3$
2803bobo$2803b2o866bo$2804bo866b2o$3670bobo24$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o2$3611bo$3611b2o$
3610bobo26$1588b2o108b2o88b2o108b2o$1588b2o108b2o88b2o108b2o1651bo$
1475bo535b3o1537b2o$1469b3o538bo2bo1536bobo$1475bobo534b2o$1468bo3bo3b
2o534bo2b3o$1469bobo4bo4bo526bo3bobo3bo$1470bo10bo526bo3bo5bo$1481bo
526bo3bobob2o$2007bo2b2obo$2007bo2bo$2008bo2bo$2009b2o2$1468b2o548b2o$
1468b2o548b2o7$1472b2o540b2o$1472b2o540b2o5$737bobo$738b2o$738bo2752bo
$1588b2o108b2o88b2o108b2o1591b2o$1439bo148b2o108b2o88b2o108b2o1590bobo
$1439bobo1301bobo$1439b2o1302b2o$bo1478b2o524b2o736bo$2o1478b2o524b2o$
obo2050bo$2051bobo$2052b2o14$1472b2o540b2o$1472b2o540b2o3$1511bobo$
1512b2o$1512bo1918bo$3431b2o$3430bobo$1588b2o108b2o88b2o108b2o69bobo$
1588b2o108b2o88b2o108b2o69b2o$61bo1908bo$60b2o$60bobo1417b2o524b2o$
1480b2o524b2o15$1905b3o$1904bo$1472b2o430bo2bo106b2o$1472b2o431b2o107b
2o$1905b2o$1904bo2bo$1907bo1463bo$1904b2o1465b2o$1580b3o1787bobo$1580b
o2bo$1579bo3bo$121bo1458bo2b2o113b2o88b2o$120b2o1460bo115b2o88b2o$120b
obo1457b2o$1579b3o8b2o304b2o$1480b2o97b3o8b2o304b2o8b2o98b2o$1480b2o
424b2o98b2o2$1895bo$1894b3o$1591bo301bo3bo$1592bo299bo$1590b3o298b2ob
2o3bo$1894b2o$1891bo6b2o$1592b2o298b2o$1592b2o7$1472b2o114b2o308b2o
114b2o$1472b2o114b2o308b2o114b2o$3311bo$3311b2o$797bobo2510bobo$798b2o
$798bo$181bo$180b2o1197bo408b2o$180bobo1196bobo316b2o91bo891bobo$1379b
2o317b2o89bo3bo889b2o$1788bo2bobo890bo$1788b2o$1480b2o98b2o211b2o111b
2o98b2o105bo$1480b2o98b2o201bo2bo7bo111b2o98b2o103bobo$1696b3o81bo331b
2o$1689bo2b2o2bo2bo80bo8bo$1689bo2bob4o6bo75bo8bobobo$1695bo8b2o9bo67b
o3b4o$1690bo4bo8bobo2b3o3bo73bo3bo$1690b2o13bo2bo7bo73bobo$1703b2o2bo
2bo4b2o$1689b2o14bo5b5o$1690b2o12b2o5bo80b2o$1682bo9bobo8bo7bobo78b2o$
1681bo10b2o17bobo$1681b3o2$1638bobo$1639b2o$1639bo$1472b2o114b2o108b2o
88b2o108b2o114b2o1235bo$1472b2o114b2o108b2o88b2o108b2o114b2o1235b2o$
1571bobo268bobo1405bobo$1572b2o268b2o$1572bo270bo$241bo1575bo$240b2o
1576bo$240bobo1573b3o90bobo$1909b2o$1910bo4$1480b2o98b2o124b2o72b2o
124b2o98b2o$1480b2o98b2o124b2o72b2o124b2o98b2o4$1721bo$1722b2o$1721b2o
$1531bo$1530bo$1530b3o3$1961bo$1962bo$1960b3o$3191bo$1754bo1436b2o$
1472b2o114b2o108b2o52b2o34b2o108b2o114b2o1174bobo$1472b2o114b2o108b2o
53b2o33b2o108b2o114b2o2$301bo$300b2o$300bobo8$1480b2o224b2o72b2o224b2o
$1480b2o224b2o72b2o224b2o13$3131bo$3131b2o$3130bobo2$1472b2o114b2o108b
2o88b2o108b2o114b2o$361bo1110b2o114b2o108b2o88b2o108b2o114b2o$360b2o
495bobo$360bobo495b2o$858bo2$1319bo$1319bobo1301bobo$1319b2o1302b2o$
2624bo2$2173bo$2171bobo$1480b2o224b2o72b2o224b2o164b2o$1480b2o224b2o
72b2o224b2o11$3071bo$3071b2o$3070bobo3$421bo$420b2o1050b2o114b2o108b2o
88b2o108b2o114b2o$420bobo1049b2o114b2o108b2o88b2o108b2o114b2o8$1778bo$
1778bo2$1773b3o$1773b3ob2o$1773b7o$1775bo2b2o$1776b5o$1776b3o6$3011bo$
3011b2o$3010bobo3$481bo$480b2o$480bobo$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o20$2951bo$2951b2o$2950bobo
3$541bo$540b2o$540bobo2$2928b2o$917bobo552b2o114b2o108b2o88b2o108b2o
114b2o913b2o$918b2o552b2o114b2o108b2o88b2o108b2o114b2o912bo$918bo2$
563b2o694bo$562b2o695bobo1301bobo$564bo694b2o1302b2o$2564bo2$2233bo$
2231bobo$2232b2o8$2891bo$2891b2o$2890bobo3$601bo$600b2o$600bobo2$2868b
2o$2869b2o$2868bo$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o$623b2o$622b2o$624bo13$2831bo$2831b2o$2830bobo
3$661bo$660b2o$660bobo2$2808b2o$2809b2o$2808bo3$683b2o787b2o114b2o108b
2o88b2o108b2o114b2o$682b2o788b2o114b2o108b2o88b2o108b2o114b2o$684bo13$
2771bo$2771b2o$2770bobo3$721bo$720b2o$720bobo2$2748b2o$2749b2o$2748bo
3$743b2o232bobo$742b2o234b2o$744bo233bo493b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o$1199bo$1199bobo1301bobo$
1199b2o1302b2o$2504bo2$2293bo$2291bobo$2292b2o4$2711bo$2711b2o$2710bob
o3$781bo$780b2o$780bobo2$2688b2o$2689b2o$2688bo3$803b2o$802b2o$804bo2$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o10$2651bo$2651b2o$2650bobo3$841bo$840b2o$840bobo2$2628b2o$2629b
2o$2628bo3$863b2o$862b2o$864bo4$1472b2o114b2o108b2o88b2o108b2o114b2o$
1472b2o114b2o108b2o88b2o108b2o114b2o8$2591bo$2591b2o$2590bobo3$901bo$
900b2o$900bobo2$2568b2o$2569b2o$2568bo3$923b2o$922b2o$924bo2$1037bobo$
1038b2o$1038bo2$1139bo332b2o114b2o108b2o88b2o108b2o114b2o$1139bobo330b
2o114b2o108b2o88b2o108b2o114b2o427bobo$1139b2o1302b2o$2444bo2$2353bo$
2351bobo$2352b2o177bo$2531b2o$2530bobo3$961bo$960b2o$960bobo2$2508b2o$
2509b2o$2508bo3$983b2o$982b2o$984bo8$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o4$2471bo$2471b2o$2470bobo3$
1021bo$1020b2o$1020bobo2$2448b2o$2449b2o$2448bo3$1043b2o$1042b2o$1044b
o10$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b
2o114b2o2$2411bo$2411b2o$2410bobo3$1081bo$1080b2o$1080bobo2$2388b2o$
2389b2o$2388bo3$1103b2o$1102b2o$1104bo12$1472b2o114b2o108b2o88b2o108b
2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o9$2328b2o$2329b2o$2328bo
3$1163b2o$1162b2o$1164bo14$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b
2o114b2o108b2o88b2o108b2o114b2o7$2268b2o$2269b2o$2268bo3$1223b2o$1222b
2o$1224bo16$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o
88b2o108b2o114b2o5$2208b2o$2209b2o$2208bo3$1283b2o$1282b2o$1284bo18$
1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o3$2148b2o$2149b2o$2148bo3$1343b2o$1342b2o$1344bo20$1472b2o114b2o
108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o$2088b2o$
2089b2o$2088bo3$1403b2o$1402b2o$1404bo22$1472b2o114b2o108b2o88b2o108b
2o114b2o12b2o$1472b2o114b2o108b2o88b2o108b2o114b2o13b2o$2028bo3$1463b
2o$1462b2o$1464bo22$1968b2o$1969b2o$1472b2o114b2o108b2o88b2o108b2o68bo
45b2o$1472b2o114b2o108b2o88b2o108b2o114b2o2$1523b2o$1522b2o$1524bo22$
1908b2o$1909b2o$1908bo2$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
109b2o3b2o108b2o88b2o108b2o114b2o$1582b2o$1584bo22$1848b2o$1849b2o$
1848bo3$1643b2o$1472b2o114b2o52b2o54b2o88b2o108b2o114b2o$1472b2o114b2o
54bo53b2o88b2o108b2o114b2o22$1788b2o$1789b2o$1788bo3$1703b2o$1702b2o$
1704bo$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o20$1728b2o$1729b2o$1728bo3$1763b2o$1762b2o$1764bo3$1472b2o
114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o18$
1668b2o$1669b2o$1668bo3$1823b2o$1822b2o$1824bo5$1472b2o114b2o108b2o88b
2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o16$1608b2o$1609b2o$
1608bo3$1883b2o$1882b2o$1884bo7$1472b2o114b2o108b2o88b2o108b2o114b2o$
1472b2o114b2o108b2o88b2o108b2o114b2o14$1548b2o$1549b2o$1548bo2$1479b2o
$1479b3o461b2o$1478bo2bo460b2o$1477b2ob2o462bo$1477b2ob2o$1478b2ob2o$
1481bo$1478b3o$1479bo526b3o$2005bo2bo$2009bo$2005b2o$1588b2o108b2o88b
2o108b2o105b2o3bo$1588b2o108b2o88b2o108b2o110bo$2008bo$1470b2o534b3o7b
2o$1470b2o8b2o524b2o8b2o$1480b2o524bo$1469bo$1468bobo$1471bo$1466bo3bo
$1465bo4bo547bo$1464bo551bobo$2017b2o$1469bo18b2o528bo$1466bo22b2o527b
2o$1488bo529b2o3$2003b2o$2002b2o$2004bo2$1472b2o540b2o$1472b2o540b2o8$
1588b2o108b2o88b2o108b2o$1588b2o108b2o88b2o108b2o3$1480b2o524b2o$1480b
2o524b2o6$1428b2o$1429b2o$1428bo3$2063b2o$2062b2o$2064bo4$1472b2o540b
2o$1472b2o540b2o8$1588b2o108b2o88b2o108b2o$1588b2o108b2o88b2o108b2o3$
1480b2o524b2o$1480b2o524b2o$1585bo$1585bo2b3o307bo$1471b3o111bo2bobo
307b2o$1471bo114bo3bo3b5o300b3o$1472bo100bo11b5o3b2o296b2o6bo$1573bo4b
4obobob2o6b4o291b4o6b2o$1572bobo3b2ob2ob2o11bo291bo4bo19bobo$1574bo3bo
3bo12b2o6bo286b2ob3o5bo3b2o6bo2bo39bo52b3o$1572b3o6b3o11b2o7bo286b2o2b
o4bobo2b2o6bo2bo39bobo52bo$1572b2o2b2o24b3o287bo3b3obobo11b2o40b2o52bo
$1571b2o4b3o313bobo3bobo$1571b2o3bob2o314bo$1536bo33b2ob3o$1534bobo34b
4o$1535b2o35b2o2$1472b2o114b2o308b2o114b2o$1472b2o114b2o308b2o114b2o8$
1698b2o88b2o$1698b2o88b2o$1914bo$1915b2o$1480b2o98b2o324b2o6b2o90b2o$
1480b2o98b2o324b2o98b2o$1531b3o$1531bo36bo$1532bo33b2o$1567b2o2$1949b
3o$1951bo$1950bo9$1472b2o114b2o308b2o114b2o$1472b2o114b2o308b2o114b2o
8$1782b2o$1705b2o74bob2o$1704bo2bo73bob3o$1696b2o6bo75b3o7b2o$1480b2o
98b2o9b3o102b2o7bo3bo71bob3o4b2o114b2o98b2o$1480b2o98b2o9bo113bo200b2o
98b2o$1592bo106bo6b4o$1698bo6b2o$1698b3o$1889b3o$1891bo$1781b2o107bo2$
1780b3o$1694b2o85bo10b2o$1694b2o96b2o7$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o10$1651b3o$1651bo$1480b2o
170bo53b2o72b2o224b2o$1480b2o224b2o72b2o224b2o2$1829b3o$1831bo$1830bo
2$1832bo$1831bo$1831bo9$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o8$1974bo$1975b2o$1974b2o2$1480b2o224b2o
31bo40b2o224b2o$1480b2o26bo197b2o30bo41b2o224b2o$1506b2o230b3o$1507b2o
2$1753bo$1754bo$1752b3o11$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o12$1480b2o224b2o72b2o224b2o$1480b2o224b2o
72b2o224b2o17$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o
88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o
108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o
114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$
1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o
114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o
108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b2o108b
2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b2o114b
2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o30$1472b
2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o114b2o
30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o108b2o
114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b2o88b2o
108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b2o108b
2o88b2o108b2o114b2o30$1472b2o114b2o108b2o88b2o108b2o114b2o$1472b2o114b
2o108b2o88b2o108b2o114b2o!
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 8th, 2014, 11:53 am

codeholic wrote:Has anyone understood how kickback arithmetics works applied to 31c/240 world? I made a couple of new double rakes, namely 2(29)h and 14(17)h, but I still don't get the maths behind it.

A double kickback reaction pushes a forward glider down by two extra lanes:
x = 28, y = 42, rule = B3/S23
4$19bobo$20b2o$20bo$10bobo$11b2o$11bo10$15b3o$17bo$16bo9$4b3o$6bo$5bo!

In your first example let's say the first forward rake fires on lane 0. After the double kickback it is two lanes lower i.e. on lane 29 in dvgrn's convention. The second forward rake is fired after three further rephasings so that fires on lane 3 * 9 = 27. That's why you end up with 2 lanes difference in the output gliders.

In the second example you fire on lane 15, which becomes lane 13 after the double kickback. Then after three more rephasings you are firing on lane 27. That explains the difference of 14 lanes in the output.

In both cases I have only tried to explain the relative lane difference between the output gliders and completely ignored the rephasing done by the first backward rake. This is probably unwise if trying to make a proper catalogue of these things.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 8th, 2014, 12:47 pm

Thanks for your explanation, it became much more clear now!
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 8th, 2014, 12:53 pm

codeholic wrote:Has anyone understood how kickback arithmetics works applied to 31c/240 world? I made a couple of new double rakes, namely 2(29)h and 14(17)h, but I still don't get the maths behind it.

Ah -- not just double rakes, but two-glider double rakes! Do you have a particular recipe that uses them, or is this just an experiment?

codeholic wrote:Thanks for your explanation, it became much more clear now!

I hope that what I've written below doesn't just confuse things again, then... Here are the things that I wish someone had explained to me several months ago:

  • As Chris says, 180-degree kickbacks always change a glider stream's lane number by 1 and reverse the direction. Double 180-degree kickbacks therefore always change the lane number by 2.
  • For a kickback to work, gliders have to be on different color squares and in different phases (one even, one odd).
  • Thanks to the 31-cell offset between gliders in any 31c/240 rake stream, alternate gliders are different colors. Therefore a glider stream can be kicked back by any intersecting glider stream, appropriately re-timed.
  • Corollary: the kicked-back stream ends up on the same lane no matter what lane the intersecting stream is on. The kicked-back stream's timing can be changed by moving the intersecting stream to a different lane, but the output lane will remain the same.
  • The two possible kickbacks for intersecting glider streams are 34 ticks apart. In other words: if you have a situation where Glider A kicks back Glider B -- i.e., Glider A is destroyed, and Glider B reverses direction and moves over a lane* -- then if you delay Glider A by 34 ticks, Glider B will now kick back Glider A instead.
Rule of thumb: if a glider collision produces a blinker or a traffic light, then those gliders can be re-timed into a kickback reaction. Otherwise -- if you're getting a honeyfarm, for example -- you have to slow things down/speed things up a lot and use the next or previous glider in the intersecting stream.

The three rakes involved in a double kickback have to be adjusted in synchrony -- if you change their relative phases, the kickbacks don't work. So to adjust the spacing between the gliders in your 2G double rakes, you have to advance or delay the final R1L0F rake and leave the others alone.

Chris wrote:
chris_c wrote:In both cases I have only tried to explain the relative lane difference between the output gliders and completely ignored the rephasing done by the first backward rake. This is probably unwise if trying to make a proper catalogue of these things.

Chris's math is all correct. We can add in an analysis of the rephasers to find out exactly which lanes the two output gliders will end up on relative to the trail above the rake.

For "2(29)h" we have

[R1L0B + R1L0F +R2L7B] + R1L0F

The two R1L0F rakes are the ones that decide the lanes of the final glider streams. The first one fires after one rephasing and is kicked back twice, so that's on (9*1) - 2 = lane 7. The second rake fires after four rephasings, so it's (9*4) mod 31 = lane 5.

Total R=5, so (9*5) mod 31 = 14 is the new "state" of the trails, meaning lane 14 is where the next R1L0 rake would put its gliders (again, relative to the positions of the original blocks). So this rake might be called "R5L7,5F".

We could replace the R2L7B with any other R2 backrake (or an R1 backrake plus a rephaser, in either order). The kickback could still be made to happen, and we'd still get gliders on lanes 5 and 7, just the same -- even in the same relative locations, if we retime the final R1L0F appropriately.

I remember I spent an embarrassingly long time replacing the kickback rakes and expecting to get different output lanes... but really only the source rakes make a difference. Using R1L0F with no additional rephaser instead of R2L7B would make a difference, of course -- the second rake would end up on lane 9*3 = 27, and the final state of the trails would be (9*4) mod 31 = 5.

----------------------------

* Yes, we could look at it as "Glider A is destroyed, and Glider B is turned 90 degrees onto Glider A's lane, minus one, in the opposite direction", instead -- but that's just plain confusing.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 8th, 2014, 4:56 pm

dvgrn wrote:Ah -- not just double rakes, but two-glider double rakes! Do you have a particular recipe that uses them, or is this just an experiment?

No. I just assembled them manually in Golly. I needed just two certain intervals, so writing a script seemed an overkill.
dvgrn wrote:I hope that what I've written below doesn't just confuse things again, then... Here are the things that I wish someone had explained to me several months ago:

Actually, it helped. Thank you, Dave. Now I've got rakes of the intervals I needed.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 13th, 2014, 8:12 am

I managed to make a front end supported on 3 HWSS + 2 MWSS. Looks like it will end up shorter than the Centipede but about twice as wide. It is probably possible to do away with the HWSS+2MWSS reflectors by going for some kind of Shield Bug inspired design. The problem there is that in the most natural arrangement, consecutive backrakes from the central pair of climbers are offset by +9 lanes but consecutive forward rakes from the Shield Bug are offset by -9 lanes, so communication between the forward and backward streams gets broken. It looks possible to swap the order of a few of the forward rakes without the glider streams colliding but I haven't fully investigated this idea yet.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 13th, 2014, 10:52 am

chris_c wrote:I managed to make a front end supported on 3 HWSS + 2 MWSS. Looks like it will end up shorter than the Centipede but about twice as wide.

Are those double forward rakes as close together as they can get? I'm guessing that the timing doesn't work out right when they're 31 or 62 or 93 or 124 cells closer together, but I'll happily take your word for it if you tried those spacings and got ugly collisions...!

That would be the only way I can see offhand to cut down the width of this design. But it's quite impressive as it is!

The other thing I want to try thinking about, in terms of reducing the total number of upship streams, is the idea of using single *WSSes colliding with forward gliders, to produce some of the reverse lateral glider streams at the front. This was one of Calcyman's ideas:

x = 641, y = 340, rule = B3/S23
b2o$4o$2ob2o$2b2o28$121b2o$120b4o$120b2ob2o$122b2o28$241b2o$240b4o$
240b2ob2o$242b2o28$361b2o$360b4o$360b2ob2o$362b2o28$481b2o$480b4o$480b
2ob2o$482b2o28$601b2o$600b4o$600b2ob2o$602b2o34$638b3o$640bo$639bo27$
578b3o$580bo$579bo27$518b3o$520bo$519bo27$458b3o$460bo$459bo27$398b3o$
400bo$399bo27$338b3o$340bo$339bo!

I don't think there's a singleton upship stream / forward glider collision that works this well, unfortunately. But once we have the leftover junk to bounce things off of, forward-glider slow salvos could also produce reverse lateral forward streams, and presumably clean up the junk at the same time.

This would widen the spaceship again, of course, but it seems as if we might be able to get away with building only the four outer HWSSes, plus the lateral LWSSes which could be built close to the block trails and might be a lot easier. Those seeds wouldn't have to be edge-shooters, right?

I still have a vague theory that a design with no upship streams at all might be competitive. But I definitely haven't figured out what goes at the mysterious X spots yet, unless it's the above LWSS+G reflection: build half a dozen lateral LWSS streams on each side of the spine, get six reverse forward streams from each edge to collide and build six block trails, and then use forward gliders to clean up all the leftover junk. (?)

Might really need a different block spacing to make that work, unfortunately. But I think a majority of rake designs are actually portable to other spacings.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 13th, 2014, 11:49 am

I'm exploring an option to confine to 4 northbound heavyweight spaceships with the following partial frontend, resembling the 'longhorn beetle' design, but on 116:110:90:110:116.
x = 7166, y = 3227, rule = B3/S23
2bo7160bo$o3bo7156bo3bo$5bo7154bo$o4bo7154bo4bo$b5o7154b5o27$122bo
6920bo$120bo3bo6916bo3bo$125bo6914bo$120bo4bo6914bo4bo$121b5o6914b5o
27$242bo6680bo$240bo3bo6676bo3bo$245bo6674bo$240bo4bo6674bo4bo$241b5o
6674b5o27$362bo6440bo$360bo3bo6436bo3bo$365bo6434bo$360bo4bo6434bo4bo$
361b5o6434b5o27$482bo6200bo$480bo3bo6196bo3bo$485bo6194bo$480bo4bo
6194bo4bo$481b5o6194b5o27$602bo5960bo$600bo3bo5956bo3bo$605bo5954bo$
600bo4bo5954bo4bo$601b5o5954b5o27$722bo5720bo$720bo3bo5716bo3bo$725bo
5714bo$720bo4bo5714bo4bo$721b5o5714b5o27$842bo5480bo$840bo3bo5476bo3bo
$845bo5474bo$840bo4bo5474bo4bo$841b5o5474b5o27$962bo5240bo$960bo3bo
5236bo3bo$965bo5234bo$960bo4bo5234bo4bo$961b5o5234b5o27$1082bo5000bo$
1080bo3bo4996bo3bo$1085bo4994bo$1080bo4bo4994bo4bo$1081b5o4994b5o27$
1202bo4760bo$1200bo3bo4756bo3bo$1205bo4754bo$1200bo4bo4754bo4bo$1201b
5o4754b5o27$1322bo4520bo$1320bo3bo4516bo3bo$1325bo4514bo$1320bo4bo
4514bo4bo$1321b5o4514b5o27$1442bo4280bo$1440bo3bo4276bo3bo$1445bo4274b
o$1440bo4bo4274bo4bo$1441b5o4274b5o27$1562bo4040bo$1560bo3bo4036bo3bo$
1565bo4034bo$1560bo4bo4034bo4bo$1561b5o4034b5o27$1682bo3800bo$1680bo3b
o3796bo3bo$1685bo3794bo$1680bo4bo3794bo4bo$1681b5o3794b5o27$1802bo
3560bo$1800bo3bo3556bo3bo$1805bo3554bo$1800bo4bo3554bo4bo$1801b5o3554b
5o27$1922bo3320bo$1920bo3bo3316bo3bo$1925bo3314bo$1920bo4bo3314bo4bo$
1921b5o3314b5o27$2042bo3080bo$2040bo3bo3076bo3bo$2045bo3074bo$2040bo4b
o3074bo4bo$2041b5o3074b5o27$2162bo2840bo$2160bo3bo2836bo3bo$2165bo
2834bo$2160bo4bo2834bo4bo$2161b5o2834b5o27$2282bo2600bo$2280bo3bo2596b
o3bo$2285bo2594bo$2280bo4bo2594bo4bo$2281b5o2594b5o27$2402bo2360bo$
2400bo3bo2356bo3bo$2405bo2354bo$2400bo4bo2354bo4bo$2401b5o2354b5o27$
2522bo2120bo$2520bo3bo2116bo3bo$2525bo2114bo$2520bo4bo2114bo4bo$2521b
5o2114b5o27$2642bo1880bo$2640bo3bo1876bo3bo$2645bo1874bo$2640bo4bo
1874bo4bo$2641b5o1874b5o27$2762bo1640bo$2760bo3bo1636bo3bo$2765bo1634b
o$2760bo4bo1634bo4bo$2761b5o1634b5o27$2882bo1400bo$2880bo3bo1396bo3bo$
2885bo1394bo$2880bo4bo1394bo4bo$2881b5o1394b5o27$3002bo1160bo$3000bo3b
o1156bo3bo$3005bo1154bo$3000bo4bo1154bo4bo$3001b5o1154b5o27$3122bo920b
o$3120bo3bo916bo3bo$3125bo914bo$3120bo4bo914bo4bo$3121b5o914b5o27$
3242bo680bo$3240bo3bo676bo3bo$3245bo674bo$3240bo4bo674bo4bo$3241b5o
674b5o27$3362bo440bo$3360bo3bo436bo3bo$3365bo434bo$3360bo4bo434bo4bo$
3361b5o434b5o27$3482bo200bo$3480bo3bo196bo3bo$3485bo194bo$3480bo4bo
194bo4bo$3481b5o194b5o21$3539b3o$3540bo$3538b3o6$3615bo$3614b3o$3613b
2obo$3530b2o92b2o$3530b2o8b2o82b2o$3540b2o3$3622bobo$3623b2o$3529bo93b
o$3528bobo$3527bo3bo$3527bo3bo$3531bo94b2o$3528b3o95b2o7$3532b2o88b2o$
3532b2o88b2o12$3540b2o72b2o$3540b2o72b2o12$3672bo$3670bobo$3671b2o3$
3478bo53b2o88b2o$3478bobo51b2o88b2o$3478b2o11$3540b2o72b2o$3540b2o72b
2o6$3566bobo$3566b2o$3567bo3$3592bobo$3593b2o$3593bo4$3532b2o88b2o$
3532b2o88b2o12$3540b2o72b2o$3540b2o72b2o17$3532b2o88b2o$3532b2o88b2o
23$3732bo$3730bobo$3731b2o3$3418bo$3418bobo$3418b2o112b2o88b2o$3532b2o
88b2o30$3532b2o88b2o$3532b2o88b2o30$3532b2o88b2o$3532b2o88b2o21$3792bo
$3790bobo$3791b2o3$3358bo$3358bobo$3358b2o2$3532b2o88b2o$3532b2o88b2o
30$3532b2o88b2o$3532b2o88b2o30$3532b2o88b2o$3532b2o88b2o16$3306b2o540b
2o$3306b2o540b2o13$3532b2o88b2o$3532b2o88b2o5$3254b2o$3253bobo$3255bo
3$3905b2o$3905bobo$3905bo4$3306b2o540b2o$3306b2o540b2o13$3532b2o88b2o$
3532b2o88b2o3$3194b2o$3193bobo$3195bo3$3965b2o$3965bobo$3965bo6$3306b
2o540b2o$3306b2o540b2o13$3532b2o88b2o$3532b2o88b2o$3134b2o$3133bobo$
3135bo3$4025b2o$4025bobo$4025bo8$3306b2o540b2o$3306b2o540b2o5$3539b3o$
3540bo$3538b3o6$3074b2o539bo$3073bobo538b3o$3075bo537b2obo$3530b2o92b
2o$3530b2o8b2o82b2o$3540b2o543b2o$4085bobo$4085bo$3622bobo$3623b2o$
3529bo93bo$3528bobo$3527bo3bo$3527bo3bo$3531bo94b2o$3528b3o95b2o2$
3306b2o540b2o$3306b2o540b2o4$3532b2o88b2o$3532b2o88b2o6$3014b2o$3013bo
bo$3015bo3$4145b2o$3540b2o72b2o529bobo$3540b2o72b2o529bo12$3306b2o364b
o175b2o$3306b2o362bobo175b2o$3671b2o3$3478bo53b2o88b2o$3478bobo51b2o
88b2o$3478b2o3$2954b2o$2953bobo$2955bo3$4205b2o$4205bobo$4205bo$3540b
2o72b2o$3540b2o72b2o6$3566bobo$3566b2o$3567bo3$3592bobo$3306b2o285b2o
253b2o$3306b2o285bo254b2o4$3532b2o88b2o$3532b2o88b2o2$2894b2o$2893bobo
$2895bo3$4265b2o$4265bobo$4265bo3$3540b2o72b2o$3540b2o72b2o12$3306b2o
540b2o$3306b2o540b2o4$3532b2o88b2o$2834b2o696b2o88b2o$2833bobo$2835bo
3$4325b2o$4325bobo$4325bo16$3732bo$3730bobo$3306b2o423b2o115b2o$3306b
2o540b2o2$3418bo$2774b2o642bobo$2773bobo642b2o112b2o88b2o$2775bo756b2o
88b2o3$4385b2o$4385bobo$4385bo20$3306b2o540b2o$3306b2o540b2o$2714b2o$
2713bobo$2715bo$3532b2o88b2o$3532b2o88b2o$4445b2o$4445bobo$4445bo22$
2654b2o650b2o540b2o$2653bobo650b2o540b2o$2655bo3$3532b2o88b2o881b2o$
3532b2o88b2o881bobo$4505bo20$3792bo$3790bobo$2594b2o1195b2o$2593bobo$
2595bo710b2o540b2o$3306b2o50bo489b2o$3358bobo$3358b2o1205b2o$4565bobo$
3532b2o88b2o941bo$3532b2o88b2o21$2534b2o$2533bobo$2535bo2$3306b2o540b
2o$3306b2o540b2o775b2o$4625bobo$4625bo2$3532b2o88b2o$3532b2o88b2o19$
2474b2o$2473bobo$2475bo3$4685b2o$3306b2o540b2o835bobo$3306b2o540b2o
835bo4$3532b2o88b2o$3532b2o88b2o17$2414b2o$2413bobo$2415bo1436bo$3850b
obo$3851b2o$4745b2o$4745bobo$3298bo1446bo$3298bobo5b2o540b2o$3298b2o6b
2o540b2o4$3532b2o88b2o$3532b2o88b2o15$2354b2o$2353bobo$2355bo8$3306b2o
540b2o$3306b2o540b2o4$3532b2o88b2o$3532b2o88b2o25$3306b2o540b2o$3306b
2o540b2o4$3532b2o88b2o$3532b2o88b2o17$3912bo$3910bobo$3911b2o3$3238bo
300b3o$3238bobo299bo$3238b2o298b3o$3306b2o540b2o$3306b2o540b2o4$3615bo
$3614b3o$3613b2obo$3530b2o92b2o$3530b2o8b2o82b2o$3540b2o3$3622bobo$
3623b2o$3529bo93bo$3528bobo$3527bo3bo$3527bo3bo$3531bo94b2o$3528b3o95b
2o7$3532b2o88b2o$3532b2o88b2o3$3306b2o540b2o$3306b2o540b2o8$3540b2o72b
2o$3540b2o72b2o12$3672bo$3670bobo$3671b2o3$3478bo53b2o88b2o$3478bobo
51b2o88b2o$3478b2o2$3306b2o540b2o$3306b2o540b2o8$3540b2o72b2o$3540b2o
72b2o6$3566bobo$3566b2o$3567bo3$3592bobo$3593b2o$3593bo4$3532b2o88b2o$
3532b2o88b2o3$3306b2o540b2o$3306b2o540b2o8$3540b2o72b2o$3540b2o72b2o
17$3532b2o88b2o$3532b2o88b2o3$3306b2o540b2o$3306b2o540b2o7$3428b3o294b
3o2$3426bo5bo290bo5bo$3426bo5bo290bo5bo$3426bo5bo290bo5bo2$3428b3o294b
3o12$3382bo$3382b2o148b2o88b2o$3381bobo148b2o88b2o3$3306b2o470bo69b2o$
3306b2o469b2o69b2o$3777bobo6$3428b3o294b3o2$3426bo5bo290bo5bo$3426bo5b
o290bo5bo$3426bo5bo290bo5bo2$3428b3o294b3o10$3322bo$3322b2o$3321bobo$
3532b2o88b2o$3532b2o88b2o$3838bo$3837b2o$3306b2o529bobo8b2o$3306b2o
540b2o7$3428b3o294b3o2$3426bo5bo290bo5bo$3426bo5bo290bo5bo$3426bo5bo
290bo5bo2$3428b3o294b3o8$3262bo$3262b2o$3261bobo3$3532b2o88b2o274bo$
3532b2o88b2o273b2o$3897bobo2$3306b2o540b2o$3306b2o540b2o7$3428b3o294b
3o2$3426bo5bo290bo5bo$3426bo5bo290bo5bo$3426bo5bo290bo5bo2$3428b3o294b
3o6$3202bo$3202b2o$3201bobo3$3958bo$3957b2o$3532b2o88b2o333bobo$3532b
2o88b2o3$3306b2o540b2o$3306b2o540b2o7$3428b3o294b3o2$3426bo5bo290bo5bo
$3426bo5bo290bo5bo$3426bo5bo290bo5bo2$3428b3o294b3o4$3142bo$3142b2o$
3141bobo3$4018bo$4017b2o$4017bobo2$3532b2o88b2o$3532b2o88b2o3$3306b2o
540b2o$3306b2o540b2o7$3428b3o294b3o2$3426bo5bo290bo5bo$3426bo5bo290bo
5bo$3426bo5bo290bo5bo2$3428b3o294b3o2$3082bo$3082b2o$3081bobo3$4078bo$
4077b2o$4077bobo4$3532b2o88b2o$3532b2o88b2o3$3306b2o540b2o$3306b2o540b
2o7$3428b3o294b3o2$3426bo5bo290bo5bo$3426bo5bo290bo5bo$3426bo5bo290bo
5bo2$3022bo405b3o294b3o$3022b2o$3021bobo3$4138bo$4137b2o$4137bobo6$
3532b2o88b2o$3532b2o88b2o3$3306b2o540b2o$3306b2o540b2o7$3428b3o294b3o
2$3426bo5bo290bo5bo$3426bo5bo290bo5bo$2962bo463bo5bo290bo5bo$2962b2o$
2961bobo464b3o294b3o3$4198bo$4197b2o$4197bobo8$3532b2o88b2o$3532b2o88b
2o3$3306b2o540b2o$3306b2o540b2o7$3428b3o294b3o2$2902bo523bo5bo290bo5bo
$2902b2o522bo5bo290bo5bo$2901bobo522bo5bo290bo5bo2$3428b3o294b3o$4258b
o$4257b2o$4257bobo10$3532b2o88b2o$3532b2o88b2o3$3306b2o540b2o$3306b2o
540b2o7$2842bo585b3o294b3o$2842b2o$2841bobo582bo5bo290bo5bo$3426bo5bo
290bo5bo$3426bo5bo290bo5bo$4318bo$3428b3o294b3o589b2o$4317bobo4$3539b
3o$3540bo$3538b3o6$3615bo$3614b3o$3613b2obo$3530b2o92b2o$3306b2o222b2o
8b2o82b2o222b2o$3306b2o232b2o306b2o3$3622bobo$3623b2o$2782bo746bo93bo$
2782b2o744bobo$2781bobo644b3o96bo3bo193b3o$3527bo3bo$3426bo5bo98bo94b
2o95bo5bo$3426bo5bo95b3o95b2o95bo5bo648bo$3426bo5bo290bo5bo647b2o$
4377bobo$3428b3o294b3o4$3532b2o88b2o$3532b2o88b2o12$3306b2o232b2o72b2o
232b2o$3306b2o232b2o72b2o232b2o3$2722bo$2722b2o$2721bobo2$3428b3o294b
3o$4438bo$3426bo5bo290bo5bo707b2o$3426bo5bo290bo5bo707bobo$3426bo5bo
290bo5bo$3672bo$3428b3o239bobo52b3o$3671b2o3$3478bo53b2o88b2o$3478bobo
51b2o88b2o$3478b2o11$3306b2o232b2o72b2o232b2o$3306b2o232b2o72b2o232b2o
$2662bo$2662b2o$2661bobo3$3566bobo929bo$3428b3o135b2o157b3o769b2o$
3567bo929bobo$3426bo5bo290bo5bo$3426bo5bo290bo5bo$3426bo5bo159bobo128b
o5bo$3593b2o$3428b3o162bo131b3o4$3532b2o88b2o$3532b2o88b2o12$2602bo
703b2o232b2o72b2o232b2o$2602b2o702b2o232b2o72b2o232b2o$2601bobo3$4558b
o$4557b2o$4557bobo$3428b3o294b3o2$3426bo5bo290bo5bo$3426bo5bo290bo5bo$
3426bo5bo290bo5bo2$3428b3o294b3o4$3532b2o88b2o$3532b2o88b2o10$2542bo$
2542b2o$2541bobo762b2o540b2o$3306b2o540b2o2$4618bo$4617b2o$4617bobo3$
3725bo$3422b2o299b2obo5b2o$3422b2o299b3o6b2o$3723bo$3728b2o$3722b3o2b
3o$3723b4obo$3725b2obo$3726bobo$3728bo$3532b2o88b2o103bo$3532b2o88b2o
8$2482bo$2482b2o$2481bobo2$3306b2o540b2o$3306b2o540b2o828bo$4677b2o$
4677bobo6$3422b2o308b2o$3422b2o308b2o8$3532b2o88b2o$3532b2o88b2o6$
2422bo$2422b2o$2421bobo3$4738bo$3306b2o540b2o887b2o$3306b2o540b2o887bo
bo8$3422b2o308b2o$3422b2o308b2o8$3532b2o88b2o$3532b2o88b2o4$2362bo$
2362b2o$2361bobo3$4798bo$4797b2o$4797bobo$3306b2o540b2o$3306b2o540b2o
8$3422b2o308b2o$3422b2o308b2o8$3532b2o88b2o$3532b2o88b2o2$2302bo$2302b
2o$2301bobo3$4858bo$4857b2o$4857bobo3$3306b2o540b2o$3306b2o540b2o8$
3422b2o308b2o$3422b2o308b2o8$3532b2o88b2o$2242bo1289b2o88b2o$2242b2o$
2241bobo3$4918bo$4917b2o$4917bobo5$3306b2o540b2o$3306b2o540b2o8$3422b
2o308b2o$3422b2o308b2o7$2182bo$2182b2o1348b2o88b2o$2181bobo1348b2o88b
2o3$4978bo$4977b2o$4977bobo7$3306b2o540b2o$3306b2o540b2o8$3422b2o308b
2o$3422b2o308b2o5$2122bo$2122b2o$2121bobo$3532b2o88b2o$3532b2o88b2o$
5038bo$5037b2o$5037bobo9$3306b2o540b2o$3306b2o540b2o8$3422b2o308b2o$
3422b2o308b2o8$3532b2o88b2o$3532b2o88b2o12$3306b2o540b2o$3306b2o540b2o
8$3422b2o308b2o$3422b2o308b2o8$3532b2o88b2o$3532b2o88b2o9$3418b2o$
3418bob2o$3420b2o$3306b2o110b2o320bo107b2o$3306b2o108b2o322bo107b2o$
3739bobo$3416bobo$3417bo320b2o2$3738b2o4$3539b3o$3540bo$3538b3o189b2o$
3414b2o314b2o8b2o$3414b2o324b2o4$3615bo$3614b3o$3613b2obo111b3o$3530b
2o92b2o102b3o$3530b2o8b2o82b2o101bob2o$3540b2o186b2obo$3729b2o2$3622bo
bo$3623b2o$3529bo93bo$3528bobo$3527bo3bo$3306b2o114b2o103bo3bo200b2o
114b2o$3306b2o114b2o107bo94b2o104b2o114b2o$3528b3o95b2o4$3420bo$3419b
2o$3419bobo$3532b2o88b2o$3532b2o88b2o$3730bo$3730b2o$3414b2o313bobo8b
2o$3414b2o324b2o8$3540b2o72b2o$3540b2o72b2o8$3306b2o114b2o254bobo51b2o
114b2o$3306b2o114b2o254b2o52b2o114b2o$3679bo2$3480bo191bo$3479b2o189bo
bo$3479bobo189b2o3$3532b2o88b2o$3478b2o52b2o88b2o3$3414b2o324b2o$3414b
2o324b2o8$3540b2o72b2o$3540b2o72b2o6$3566bobo$3566b2o$3306b2o114b2o
143bo164b2o114b2o$3306b2o114b2o308b2o114b2o2$3592bobo$3593b2o$3593bo4$
3532b2o88b2o$3532b2o88b2o3$3414b2o324b2o$3414b2o324b2o8$3540b2o72b2o$
3540b2o72b2o8$3306b2o114b2o308b2o114b2o$3306b2o114b2o308b2o114b2o8$
3532b2o88b2o$3532b2o88b2o3$3414b2o324b2o$3414b2o324b2o17$3306b2o114b2o
308b2o114b2o$3306b2o114b2o308b2o114b2o8$3532b2o88b2o$3532b2o88b2o3$
3414b2o324b2o$3414b2o324b2o17$3306b2o114b2o308b2o114b2o$3306b2o114b2o
308b2o114b2o7$3531b2o$3530b2obo87b3o$3531bobo82b2o3bo2b2o$3528bo5bo80b
o3bob2o$3527bo3bob2o81bob4obo2bo$3414b2o111bobob2o83bo4b3ob2o113b2o$
3414b2o201bobobobob2o113b2o$3541bo75bo3bobobo$3541bo77b2o3bo$3541bo64b
o$3606bo$3605b3o3$3605b3o$3528b2o76bo19b2o$3528b2o76bo19bo2b2obo$3627b
ob3obo$3630bo$3627bo6bo$3627bo2bobo$3630bo$3629b2o$3306b2o114b2o108b2o
88b2o108b2o114b2o$3306b2o114b2o108b2o88b2o23bo84b2o114b2o$3648bo$3646b
3o3$3503bo$3502bo$3502b3o3$3386bo$3386b2o$3385bobo152b2o72b2o$3540b2o
72b2o2$3774bo$3310bo462b2o$3309b3o461bobo$3308b2o2bo$3308bob3o$3308b2o
531bo$3840bobo$3313bo525bo3bo$3314bo525bo2bo$3312b3o525bo2bo$3592bo
248bobo$3590b2o$3591b2o3$3422b2o108b2o34bo53b2o108b2o$3422b2o108b2o35b
2o51b2o108b2o$3568b2o$3850b2o$3314b2o524b2o8b2o$3314b2o524b2o4$3326bo
525bo$3326b2o523b3o$3325bobo522b2o2bo$3849b2o2b3o$3540b2o72b2o232b3o3b
o$3540b2o72b2o218bo$3833b2o17bo$3833bobo6$3306b2o540b2o$3306b2o540b2o
8$3422b2o108b2o88b2o108b2o$3422b2o108b2o88b2o108b2o3$3314b2o524b2o$
3314b2o524b2o2$3266bo$3266b2o$3265bobo3$3894bo$3540b2o72b2o277b2o$
3540b2o72b2o277bobo8$3306b2o540b2o$3306b2o540b2o7$3707bo$3422b2o108b2o
88b2o84bo23b2o$3422b2o108b2o88b2o82b3o23b2o3$3302b2o10b2o107b2o18bo
396b2o$3302bobo9b2o106bo2bo2bo13bo397b2o$3302bo119bob4ob2o11b3o$3417b
3o3bo2b2o2bo304b2o$3416bo2bo9b2o303b2o$3405bo9b2obo306b3o3bo3bobo109b
2o$3405bo3b3obo18b2o290bo3b2ob3o3bo6b3o99bobo$3405bo7bob4o13b2o290b2o
3bo3b4o6b5o100bo$3414b2o3bo10bo2bo285bo4bo3bo4bo8bob5o$3415bo2bo10bo2b
o286bobo3bobo6b3o4b2ob3o2b2o$3415bo2bo9bo4bo285b2o4bo16b3o2bob2o$3415b
3o9b2o3bo301bo8bo6b2o$3428b2o305bo11bo2bo36bo$3429bo11bo305b3o36bo$
3439bobo344b3o$3440b2o2$3373bo$3306b2o66bo47b2o308b2o114b2o$3306b2o64b
3o47b2o308b2o114b2o8$3532b2o88b2o$3532b2o88b2o$3362b2o$3362bobo$3314b
2o46bo51b2o324b2o98b2o$3314b2o98b2o324b2o98b2o$3751bobo$3752b2o33b2o$
3752bo33bobo$3788bo2$3397bobo$3397b2o$3398bo9$3306b2o114b2o308b2o114b
2o$3306b2o114b2o308b2o114b2o4$3539b3o$3539bo2bo$3538bo$3541b2o$3422b2o
113bo3b2o73b3o$3422bobo112bo$3422bo116bo75b2o$3530b2o7b3o72bobo7b2o$
3314b2o98b2o114b2o8b2o71bo3bo6b2o114b2o98b2o$3314b2o98b2o125bo72bobo4b
o105b2o11b2o98b2o$3615bo3bobo104bobo$3620b2o106bo3$3529bo$3529bobo$
3529b2o$3529bo$3528b2o96b2o$3528b2o96b2o7$3306b2o114b2o108b2o88b2o108b
2o114b2o$3306b2o114b2o108b2o88b2o108b2o114b2o6$3482b2o$3482bobo$3482bo
3$3667b2o$3314b2o224b2o72b2o50bobo171b2o$3314b2o224b2o72b2o52bo171b2o
17$3306b2o114b2o108b2o88b2o108b2o114b2o$3306b2o114b2o108b2o88b2o108b2o
114b2o12$3314b2o224b2o72b2o195bobo26b2o$3314b2o224b2o72b2o196b2o26b2o$
3812bo2$3569bo$3337bobo229bobo$3337b2o230b2o$3338bo2$3591bo$3589bobo$
3590b2o7$3306b2o114b2o108b2o88b2o108b2o114b2o$3306b2o114b2o108b2o88b2o
108b2o114b2o12$3314b2o224b2o72b2o224b2o$3314b2o224b2o72b2o224b2o17$
3306b2o114b2o108b2o88b2o108b2o114b2o$3306b2o114b2o108b2o88b2o108b2o
114b2o30$3306b2o114b2o108b2o88b2o108b2o114b2o$3306b2o114b2o108b2o88b2o
108b2o114b2o30$3306b2o114b2o108b2o88b2o108b2o114b2o$3306b2o114b2o108b
2o88b2o108b2o114b2o30$3306b2o114b2o108b2o88b2o108b2o114b2o$3306b2o114b
2o108b2o88b2o108b2o114b2o30$3306b2o114b2o108b2o88b2o108b2o114b2o$3306b
2o114b2o108b2o88b2o108b2o114b2o!

In order to get forward gliders, you can heisenburp glider pairs into the HWSS stream, there is plentiful of options to do so:
x = 478, y = 14, rule = B3/S23
362b2o48b2o$362bobo47bobo53b2o$67b3o292bo49bo55bobo$67bo400bo$bo9b3o
37bo9b3o4bo32bo9b3o37bo9b3o37bo9b3o37bo9b3o7b2o28bo9b3o37bo49bo73b2o$
3o8bo8b2o28b3o8bo38b3o8bo38b3o8bo38b3o8bo38b3o8bo9bobo26b3o8bo38b3o47b
3o54bo17bobo$ob2o8bo6b2o29bob2o8bo37bob2o8bo37bob2o8bo37bob2o8bo37bob
2o8bo8bo28bob2o8bo37bob2o46bob2o52b3o16bo$b3o17bo29b3o47b3o47b3o47b3o
47b3o47b3o47b3o47b3o52bob2o$b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o10b
2o35b3o53b3o$b3o47b3o47b3o47b3o47b3o47b3o47b3o18b2o27b3o9b2o36b3o14b3o
36b3o$b2o48b2o48b2o25b3o20b2o48b2o20bo27b2o48b2o19bobo26b2o12bo35b2o
15bo38b3o$128bo37bo55b2o98bo96bo37b2o$129bo35b2o55bobo$165bobo!

The challenge I'm currently facing is to put all the components together.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 13th, 2014, 1:08 pm

codeholic wrote:I'm exploring an option to confine to 4 northbound heavyweight spaceships with the following partial frontend, resembling the 'longhorn beetle' design, but on 116:110:90:110:116...

This looks really promising, too! Nice trick with the traffic lights. Looks like the various transformations can be stacked a lot more tightly together, when you get to that point, which should keep the width fairly reasonable.

codeholic wrote:In order to get forward gliders, you can heisenburp glider pairs into the HWSS stream, there is plentiful of options to do so... The challenge I'm currently facing is to put all the components together.

Do you have double-double rakes for some of those Heisenburp glider pairs, or are those some of the components that need to be put together? All in all, compared to the original shield bug, the assembly of this design looks relatively straightforward...!

EDIT: Forgot to ask: did you check if there's any hope of a design that uses only two HWSSes in all? This would need something like an HWSS+2G->MWSS or HWSS+3G->MWSS, and I no longer remember what searches were done along those lines.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 13th, 2014, 1:19 pm

I've already created two "double-double" rakes that could produce the reverse forward gliders for the rostrum. Unfortunately my first attempt resulted in a pretty large contraption, that would be probably over 50.000 cells wide.

So I'm going to write a script that would hopefully find a shorter device.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 13th, 2014, 1:27 pm

dvgrn wrote:EDIT: Forgot to ask: did you check if there's any hope of a design that uses only two HWSSes in all? This would need something like an HWSS+2G->MWSS or HWSS+3G->MWSS, and I no longer remember what searches were done along those lines.

I'm pretty sure I did a gencols run for *WSS+2G reactions, but none of them were fast enough to let the orthogonal MWSS avoid the collision with the next pair of gliders.

I need to grow a habit to report my negative results too :)
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 13th, 2014, 4:35 pm

It is possible with 3 gliders:
x = 81, y = 102, rule = B3/S23
67bo$67b2o$66bobo$60b3o$62bo$61bo2$65b2o$66b2o9b3o$65bo11bo2bo$77bo$
77bo$78bobo17$7bo$7b2o$6bobo$3o$2bo$bo2$5b2o$6b2o$5bo59$77b3o$77bo2bo$
77bo$77bo$78bobo!

P. S. I've already found 17 of them. I think it is feasible also to create a slow salvo target in the same reaction with no additional gliders.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 13th, 2014, 6:17 pm

codeholic wrote:It is possible with 3 gliders... I've already found 17 of them. I think it is feasible also to create a slow salvo target in the same reaction with no additional gliders.

The example you gave was an LWSS upship stream, but the Heisenburp 2G->G bounces that you posted earlier are all bouncing off of HWSSes. I don't remember that pairs of gliders could be Heisenburp-bounced quite as readily off of an LWSS stream -- but maybe you have a collection of those, too?

codeholic wrote:I've already created two "double-double" rakes that could produce the reverse forward gliders for the rostrum. Unfortunately my first attempt resulted in a pretty large contraption, that would be probably over 50.000 cells wide.

Yes, it's probably high time to look for some lucky lane combinations with a script. I can see how to tighten those two rakes up a little bit, especially the top one, but it won't save very much width.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 13th, 2014, 6:40 pm

dvgrn wrote:The example you gave was an LWSS upship stream, but the Heisenburp 2G->G bounces that you posted earlier are all bouncing off of HWSSes. I don't remember that pairs of gliders could be Heisenburp-bounced quite as readily off of an LWSS stream -- but maybe you have a collection of those, too?

You're right. I think you can't heisenbounce a pair of glider off an LWSS, and I found the only way to do it off an MWSS, and that's not enough at least for the above rostrum design, because bounced glider streams are in different phases there. But there are also 13 recipes with HWSS
x = 489, y = 838, rule = B3/S23
73b3o197b3o197b3o$75bo199bo199bo$74bo199bo199bo$268bo$67b3o198b2o197b
2o$61bo7bo191b2o4bobo198b2o$61b2o5bo191bobo197b3o4bo$60bobo199bo199bo$
461bo$79b3o197b3o197b3o$79bo2bo196bo2bo196bo2bo$79bo199bo199bo$79bo3bo
195bo3bo195bo3bo$79bo3bo195bo3bo195bo3bo$79bo199bo199bo$80bobo197bobo
197bobo14$13b3o197b3o197b3o$15bo199bo199bo$14bo199bo199bo$208bo$7b3o
198b2o197b2o$bo7bo191b2o4bobo198b2o$b2o5bo191bobo197b3o4bo$obo199bo
199bo$401bo163$66bo199bo199bo$66b2o198b2o198b2o$60b2o3bobo192b2o3bobo
192b2o3bobo$61b2o198b2o198b2o$60bo199bo199bo4$75b3o197b3o197b3o$60b3o
12bo2bo181b3o12bo2bo182b2o12bo2bo$62bo12bo186bo12bo186b2o11bo$61bo13bo
3bo181bo13bo3bo181bo13bo3bo$75bo3bo195bo3bo195bo3bo$75bo199bo199bo$76b
obo197bobo197bobo15$6bo199bo199bo$6b2o198b2o198b2o$2o3bobo192b2o3bobo
192b2o3bobo$b2o198b2o198b2o$o199bo199bo5$3o197b3o198b2o$2bo199bo199b2o
$bo199bo199bo160$66bo206b3o197b3o$66b2o207bo199bo$60b2o3bobo206bo199bo
$61b2o205bo199bo$60bo207b2o198b2o$261b2o4bobo191b2o4bobo$260bobo197bob
o$262bo199bo$75b3o$61b2o12bo2bo200b3o197b3o$62b2o11bo203bo2bo196bo2bo$
61bo13bo3bo199bo199bo$75bo3bo199bo3bo195bo3bo$75bo203bo3bo195bo3bo$76b
obo200bo199bo$280bobo197bobo14$6bo206b3o197b3o$6b2o207bo199bo$2o3bobo
206bo199bo$b2o205bo199bo$o207b2o198b2o$201b2o4bobo191b2o4bobo$200bobo
197bobo$202bo199bo2$b2o$2b2o$bo160$77b2o193b2o191b3o$76bobo194b2o192bo
7b2o$78bo193bo188bo4bo9b2o$461b2o12bo$266b2o192bobo$68bo198b2o$68b2o
190b3o3bo$61b2o4bobo192bo$60bobo198bo$62bo$80b3o194b3o204b3o$80bo2bo
193bo2bo203bo2bo$80bo196bo206bo$80bo3bo192bo3bo202bo3bo$80bo3bo192bo3b
o202bo3bo$80bo196bo206bo$81bobo194bobo204bobo13$17b2o193b2o191b3o$16bo
bo194b2o192bo7b2o$18bo193bo188bo4bo9b2o$401b2o12bo$206b2o192bobo$8bo
198b2o$8b2o190b3o3bo$b2o4bobo192bo$obo198bo$2bo162$72b2o$73b2o$72bo2$
66b2o$67b2o$60b3o3bo$62bo$61bo2$77b3o$77bo2bo$77bo$77bo3bo$77bo3bo$77b
o$78bobo13$12b2o$13b2o$12bo2$6b2o$7b2o$3o3bo$2bo$bo!

Anyway, I'd like to do another search and find a dirty reaction that leaves some junk on the roadside to be used as a slow salvo target.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 14th, 2014, 8:01 am

dvgrn wrote:I'm guessing that the timing doesn't work out right when they're 31 or 62 or 93 or 124 cells closer together, but I'll happily take your word for it if you tried those spacings and got ugly collisions...!


In the pattern I posted, the diagonal distance between consecutive gliders that hit the same *WSS constellation is 11 + 31 * 10. From memory that spacing allows about 8 streams to cross without collision. Other good separations are 11 + 31 * 2 (allows about 13 streams to cross but the streams can't be built this close together in the first place) and 11 + 31 * 24 (allows more than 20 streams to cross but much wider than necessary).

codeholic wrote:I'm exploring an option to confine to 4 northbound heavyweight spaceships with the following partial frontend, resembling the 'longhorn beetle' design, but on 116:110:90:110:116.


Looks good! The two support streams should be buildable by reflecting the output of a R1L0F followed by a R3L21F. That should be an improvement of the pattern I posted anyway. I'll see if I can make that work...

EDIT: the following reflection pattern should be buildable from R10LF + R1L0F + R3L21F and provides (hopefully) the forward gliders needed in codeholic's pattern. After squashing everything together reasonably closely I estimate that the 6-tracks can be made available about 1600 cells from the front of codeholic's frontend. That compares with 2500 in my frontend. The saved factor of 25/16 should be enough to make a frontend that is nearly as thin as the Centipede, but not quite I don't think.

x = 2253, y = 3741, rule = B3/S23
730b2o$730bobo$730bo27$790b2o$790bobo$790bo27$850b2o$850bobo$850bo27$
910b2o$910bobo$910bo27$970b2o$970bobo$970bo27$1030b2o$1030bobo$1030bo
27$1090b2o$1090bobo$1090bo27$1150b2o$1150bobo$1150bo27$1210b2o$1210bob
o$1210bo27$1270b2o$1270bobo$1270bo27$1330b2o$1330bobo$1330bo27$1390b2o
$1390bobo$1390bo27$1450b2o$1450bobo$1450bo27$1510b2o$1510bobo$1510bo
18$2220b3o$2222bo$2221bo7$1570b2o$1570bobo$322b2o1246bo$322bobo$322bo
10$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o$2160b3o$2162bo$
2161bo4$2246bo$2245b3o$2244b2obo$1630b2o612b3o$1630bobo611b3o$382b2o
1246bo614b2o$382bobo$382bo2$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo
3bo$2236bo$2233bobo8$2100b3o$2102bo$2101bo7$1690b2o$1690bobo$442b2o
1246bo$442bobo$442bo16$2040b3o$2042bo$2041bo7$1750b2o$1750bobo$502b2o
1246bo$502bobo$502bo12$2250bo$2249b3o$2249bob2o$2250b3o$1980b3o267b3o$
1982bo267b2o$1981bo6$2246bo$1810b2o433b3o$1810bobo431b2obo$562b2o1246b
o433b3o$562bobo1679b3o$562bo1682b2o4$2234b3o$2233bo2bo$2236bo$2232bo3b
o$2232bo3bo$2236bo$2233bobo6$1920b3o$1922bo$1921bo7$1870b2o$1870bobo$
622b2o1246bo$622bobo$622bo16$1860b3o$1862bo$1861bo7$1930b2o$1930bobo$
682b2o1246bo$682bobo$682bo14$2250bo$2249b3o$1800b3o446bob2o$1802bo447b
3o$1801bo448b3o$2250b2o6$1990b2o$1990bobo253bo$742b2o1246bo254b3o$742b
obo1499b2obo$742bo1501b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$
2232bo3bo$2232bo3bo$2236bo$2233bobo4$1740b3o$1742bo$1741bo7$2050b2o$
2050bobo$802b2o1246bo$802bobo$802bo16$1680b3o$1682bo$1681bo7$2110b2o$
2110bobo$862b2o1246bo$862bobo$862bo16$1620b3o627bo$1622bo626b3o$1621bo
627bob2o$2250b3o$2250b3o$2250b2o4$2170b2o$2170bobo$922b2o1246bo$922bob
o1321bo$922bo1322b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo
2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo2$1560b3o$1562bo$1561bo
7$2230b2o$2230bobo$982b2o1246bo$982bobo$982bo13$2244b2o$2244b2o2$1500b
3o$1502bo$1501bo3$2199bo$2199b2o$2198bobo4$1042b2o$1042bobo$1042bo16$
1440b3o$1442bo$1441bo808bo$2249b3o$2249bob2o$2139bo110b3o$2139b2o109b
3o$2138bobo109b2o4$1102b2o$1102bobo$1102bo$2246bo$2245b3o$2244b2obo$
2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$
2236bo$1380b3o850bobo$1382bo$1381bo3$2079bo$2079b2o$2078bobo4$1162b2o$
1162bobo$1162bo16$1320b3o$1322bo$1321bo3$2019bo$2019b2o$2018bobo4$
1222b2o$1222bobo$1222bo16$1260b3o$1262bo$1261bo2$2250bo$1959bo289b3o$
1959b2o288bob2o$1958bobo289b3o$2250b3o$2250b2o2$1282b2o$1282bobo$1282b
o3$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo
$2236bo$2232bo3bo$1200b3o1029bo3bo$1202bo1033bo$1201bo1031bobo3$1899bo
$1899b2o$1898bobo4$1342b2o$1342bobo$1342bo16$1140b3o$1142bo$1141bo3$
1839bo$1839b2o$1838bobo4$1402b2o$1402bobo$1402bo16$1080b3o$1082bo$
1081bo3$1779bo$1779b2o469bo$1778bobo468b3o$2249bob2o$2250b3o$2250b3o$
1462b2o786b2o$1462bobo$1462bo5$2246bo$2245b3o$2244b2obo$2244b3o$2244b
3o$2245b2o4$2234b3o$2233bo2bo$1020b3o1213bo$1022bo1209bo3bo$1021bo
1210bo3bo$2236bo$2233bobo$1719bo$1719b2o$1718bobo4$1522b2o$1522bobo$
1522bo16$960b3o$962bo$961bo3$1659bo$1659b2o$1658bobo4$1582b2o$1582bobo
$1582bo16$900b3o$902bo$901bo3$1599bo$1599b2o$1598bobo$2250bo$2249b3o$
2249bob2o$1642b2o606b3o$1642bobo605b3o$1642bo607b2o7$2246bo$2245b3o$
2244b2obo$2244b3o$2244b3o$2245b2o4$840b3o1391b3o$842bo1390bo2bo$841bo
1394bo$2232bo3bo$2232bo3bo$1539bo696bo$1539b2o692bobo$1538bobo4$1702b
2o$1702bobo$1702bo16$780b3o$782bo$781bo3$1479bo$1479b2o$1478bobo4$
1762b2o$1762bobo$1762bo16$720b3o$722bo$721bo3$1419bo$1419b2o$1418bobo
3$2250bo$1822b2o425b3o$1822bobo424bob2o$1822bo427b3o$2250b3o$2250b2o7$
2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o2$660b3o$662bo$661bo
1572b3o$2233bo2bo$2236bo$1359bo872bo3bo$1359b2o871bo3bo$1358bobo875bo$
2233bobo3$1882b2o$1882bobo$1882bo16$600b3o$602bo$601bo3$1299bo$1299b2o
$1298bobo4$1942b2o$1942bobo$1942bo16$540b3o$542bo$541bo3$1239bo$1239b
2o$1238bobo4$2002b2o$2002bobo245bo$2002bo246b3o$2249bob2o$2250b3o$
2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$480b3o1762b
2o$482bo$481bo2$2234b3o$1179bo1053bo2bo$1179b2o1055bo$1178bobo1051bo3b
o$2232bo3bo$2236bo$2233bobo$2062b2o$2062bobo$2062bo16$420b3o$422bo$
421bo3$1119bo$1119b2o$1118bobo4$2122b2o$2122bobo$2122bo16$360b3o$362bo
$361bo3$1059bo$1059b2o$1058bobo4$2182b2o$2182bobo$2182bo$2250bo$2249b
3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$300b3o
1941b3o$302bo1941b3o$301bo1943b2o3$999bo$999b2o1233b3o$998bobo1232bo2b
o$2236bo$2232bo3bo$2232bo3bo$2236bo4b2o$2233bobo4bob2o$2240bo$2241bo2$
2244b2o$2244b2o12$240b3o$242bo$241bo3$939bo$939b2o$938bobo1246bo$2187b
2o$2186bobo20$180b3o$182bo$181bo3$879bo$879b2o$878bobo1246bo$2127b2o$
2126bobo7$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$
120b3o2122b3o$122bo2121b2obo$121bo2122b3o$2244b3o$2245b2o$819bo$819b2o
$818bobo1246bo$2067b2o165b3o$2066bobo164bo2bo$2236bo$2232bo3bo$2232bo
3bo$2236bo$2233bobo15$60b3o$62bo$61bo3$759bo$759b2o$758bobo1246bo$
2007b2o$2006bobo20$3o$2bo$bo3$699bo$699b2o$698bobo1246bo$1947b2o$1946b
obo9$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$
2244b2obo$2244b3o$639bo1604b3o$639b2o1604b2o$638bobo1246bo$1887b2o$
1886bobo$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo
18$579bo$579b2o$578bobo1246bo$1827b2o$1826bobo25$519bo$519b2o$518bobo
1246bo$1767b2o$1766bobo11$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$
2250b2o7$2246bo$2245b3o$459bo1784b2obo$459b2o1783b3o$458bobo1246bo536b
3o$1707b2o536b2o$1706bobo3$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3b
o$2236bo$2233bobo16$399bo$399b2o$398bobo1246bo$1647b2o$1646bobo25$339b
o$339b2o$338bobo1246bo$1587b2o$1586bobo13$2250bo$2249b3o$2249bob2o$
2250b3o$2250b3o$2250b2o7$279bo1966bo$279b2o1964b3o$278bobo1246bo716b2o
bo$1527b2o715b3o$1526bobo715b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$
2232bo3bo$2232bo3bo$2236bo$2233bobo14$219bo$219b2o$218bobo1246bo$1467b
2o$1466bobo27$1407bo$1407b2o$1406bobo15$2250bo$2249b3o$2249bob2o$2250b
3o$2250b3o$2250b2o7$1347bo898bo$1347b2o896b3o$1346bobo895b2obo$2244b3o
$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$
2233bobo14$1287bo$1287b2o$1286bobo27$1227bo$1227b2o$1226bobo17$2250bo$
2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o5$1167bo$1167b2o$1166bobo
1077bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$
2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo12$1107bo$1107b2o$1106bobo
27$1047bo$1047b2o$1046bobo19$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$
2250b2o3$987bo$987b2o$986bobo2$2246bo$2245b3o$2244b2obo$2244b3o$2244b
3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bo
bo10$927bo$927b2o$926bobo27$867bo$867b2o$866bobo21$2250bo$2249b3o$
2249bob2o$2250b3o$2250b3o$2250b2o$807bo$807b2o$806bobo4$2246bo$2245b3o
$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo
$2232bo3bo$2236bo$2233bobo8$747bo$747b2o$746bobo27$687bo$687b2o$686bob
o23$2250bo$2249b3o$2249bob2o$2250b3o$627bo1622b3o$627b2o1621b2o$626bob
o6$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo
$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o
$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$
2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo
62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$
2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$
2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$
2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$
2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$
2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$
2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$
2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$
2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$
2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o
$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$
2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$
2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$
2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$
2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$
2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$
2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$
2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$
2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo
62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$
2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$
2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$
2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$
2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$
2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$
2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$
2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$
2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$
2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o
$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$
2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$
2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$
2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$
2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$
2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$
2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo62$2250bo$2249b3o$2249bob2o$
2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$2244b2obo$2244b3o$2244b3o$
2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$2232bo3bo$2236bo$2233bobo
62$2250bo$2249b3o$2249bob2o$2250b3o$2250b3o$2250b2o7$2246bo$2245b3o$
2244b2obo$2244b3o$2244b3o$2245b2o4$2234b3o$2233bo2bo$2236bo$2232bo3bo$
2232bo3bo$2236bo$2233bobo!


EDIT2: I'm talking nonsense. The input forward streams are not buildable by R1L0F + R3L21F. I am forgetting about the 9 lane shift after the R1. Back to the drawing board for a moment...
chris_c
 
Posts: 895
Joined: June 28th, 2014, 7:15 am

Re: 31c/240 caterpillar working notes

Postby chris_c » September 14th, 2014, 3:55 pm

Here is a completed version of codeholic's front end supported by 3HWSS+2MWSS that is marginally thinner than the Centipede. To get the forward streams separated by 21 (mod 31) I used R2L15F followed by R3L18F (2 * 9 + 18 - 15 = 21). The reflected streams turn out nice and close to each other which helps reduce the overall width. It's funny because R3L18F is never necessary if all you are worried about is rephaser cost: rephase 2 + R1L0F also fires on lane 18 and is equivalent in terms of rephasers. Maybe the inner part can be made thinner but I found it annoyingly difficult to get the "killing" glider stream to fit through the reflected streams.
Attachments
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chris_c
 
Posts: 895
Joined: June 28th, 2014, 7:15 am

Re: 31c/240 caterpillar working notes

Postby chris_c » September 14th, 2014, 10:08 pm

dvgrn wrote:This was one of Calcyman's ideas...


Well I made a lateral LWSS rake in 6R. 4R was done with computer search, 2R with manual clean up. I can't decide on the best design to make use of this but I hope it's helpful somehow.

x = 658, y = 3544, rule = B3/S23
57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o
30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b
2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o
114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b
2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o
108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b
2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o
88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b
2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o
108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b
2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o
114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b
2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$
57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b
2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o
114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b
2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o
108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b
2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o
88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b
2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o
108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b
2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o
114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b
2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$
57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o
30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b
2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o
114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b
2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o
108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b
2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o
88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b
2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o
108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b
2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o
114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b
2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$
57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b
2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o
114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b
2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o
108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b
2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o
88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b
2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o
108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b
2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o
114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b
2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o30$
57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o
30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b
2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o
114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b
2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o
108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b
2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o
88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b
2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o
108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b
2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o
114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$57b
2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b2o$
57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o114b
2o$57b2o114b2o108b2o88b2o108b2o114b2o30$57b2o114b2o108b2o88b2o108b2o
114b2o$57b2o114b2o108b2o88b2o108b2o114b2o3$600b2o$599bo2bo2bo$599bob4o
b2o$60b2o532b3o3bo2b2o2bo$59b2o532bo2bo9b2o$50b3o3bo3bobo519bo9b2obo$
49bo3b2ob3o3bo6b3o510bo3b3obo18b2o$49b2o3bo3b4o6b5o509bo7bob4o13b2o$
44bo4bo3bo4bo8bob5o517b2o3bo10bo2bo$44bobo3bobo6b3o4b2ob3o2b2o516bo2bo
10bo2bo$44b2o4bo16b3o2bob2o516bo2bo9bo4bo$59bo8bo6b2o515b3o9b2o3bo$60b
o11bo2bo529b2o$72b3o531bo11bo$616bobo$617b2o3$57b2o540b2o$57b2o540b2o
8$173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$65b2o524b2o$65b2o
524b2o$76bobo$77b2o$77bo3$574bobo$574b2o$575bo9$57b2o540b2o$57b2o540b
2o8$173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$65b2o524b2o$65b2o
524b2o14$4b3o644b3o2$2bo5bo640bo5bo$2bo5bo48b2o540b2o48bo5bo$2bo5bo48b
2o540b2o48bo5bo2$4b3o606b2o36b3o$612bobo$614bo3$48b2o$48bobo232b2o88b
2o107b3o$48bo122bobo109b2o88b2o105b2obobo$167bo4bo2b2o303b2o3bo$166b2o
6bobo301bo4bo$65b2o98b2o4bo2bob2o300bo5bo106b2o$65b2o98b2o9b2o300bo5bo
3bobo100b2o$166b5obob2o308bo3bo2bo$167bo2bo309bo4bobo3bo$167bo2bo309bo
4bo2bo2bo$158bo320bo5bo2bobo$156bo2bo22b2o296bob2o$156b3o322bo$156b3o
20bo$188bo$178b2o3bo4bo290b2o$177bobo5bobo291b2o$177b2o4bobo$177b2o4b
2o$178b3o2bo$4b3o171b3o470b3o2$2bo5bo640bo5bo$2bo5bo48b2o114b2o22bo
285b2o114b2o48bo5bo$2bo5bo48b2o114b2o20bobo285b2o68b2o44b2o48bo5bo$
196b2o354bobo$4b3o547bo96b3o2$455bo$108b2o345bobo$108bobo344b2o$108bo$
283b2o88b2o$283b2o88b2o3$65b2o69bobo26b2o324b2o98b2o$65b2o70b2o26b2o
324b2o98b2o$137bo3$514bobo$514b2o$515bo3$370bo$369b3o$143bobo222b2o2bo
$143b2o227b2o$144bo224b3ob2o$4b3o283b2o78bo2b2o276b3o$290b3o76b3o$2bo
5bo280bo2bo79b2o119b2o22bobo129bo5bo$2bo5bo48b2o114b2o113b2ob2o79b2o
109b2o7bobo23b2o79b2o48bo5bo$2bo5bo48b2o114b2o113b2ob2o190b2o9bo23bo
80b2o48bo5bo$289b2ob2o$4b3o285bo72bo285b3o$168b2o119b3o73bobo$168bobo
119bo74b2o$168bo6$281b2o$65b2o98b2o114b2o8b2o72b2o124b2o98b2o$65b2o98b
2o124b2o72b2o124b2o98b2o$280bo$279bobo$282bo$277bo3bo$276bo4bo$275bo2$
280bo$277bo5$4b3o426b2o216b3o$432bobo$2bo5bo425bo214bo5bo$2bo5bo48b2o
114b2o108b2o88b2o108b2o114b2o48bo5bo$2bo5bo48b2o114b2o108b2o88b2o108b
2o114b2o48bo5bo$228b2o$4b3o221bobo420b3o$228bo9$65b2o224b2o72b2o224b2o
$65b2o224b2o72b2o224b2o14$4b3o644b3o2$2bo5bo640bo5bo$2bo5bo48b2o114b2o
108b2o88b2o108b2o114b2o48bo5bo$2bo5bo48b2o114b2o108b2o88b2o108b2o114b
2o48bo5bo2$4b3o644b3o10$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o
9$83bobo$83b2o$84bo2$347bo$4b3o338bobo229bobo71b3o$346b2o230b2o$2bo5bo
569bo70bo5bo$2bo5bo48b2o114b2o108b2o88b2o108b2o114b2o48bo5bo$2bo5bo48b
2o114b2o108b2o20bo67b2o108b2o114b2o48bo5bo$305bobo$4b3o298b2o344b3o10$
65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o14$4b3o644b3o2$2bo5bo640b
o5bo$2bo5bo48b2o114b2o108b2o88b2o108b2o114b2o48bo5bo$2bo5bo48b2o114b2o
108b2o88b2o108b2o114b2o48bo5bo2$4b3o644b3o4$599bo$59bo538bo$58b4o538bo
7bo$56bo5bo534bo2bo6bobo$55bo3bo6b2o527b2ob2o6b2o2bo$55bo5b2o2bo2bo
516b2o8b2o9bo3bo$55b2obobo4bo2b2o516b2o4b2o5b2o8b2o$57b2o5bo2b2o516b2o
5b2o14b3o$64b4o515b3o10bo$583bo12bo4b2o$583bo12bo3bo$601b2o4$57b2o540b
2o$57b2o540b2o5$4b3o644b3o2$2bo5bo60bobo577bo5bo$2bo5bo61b2o101b2o108b
2o88b2o108b2o164bo5bo$2bo5bo61bo102b2o108b2o88b2o108b2o164bo5bo2$4b3o
644b3o$65b2o514bobo7b2o$65b2o514b2o8b2o$582bo16$57b2o540b2o$57b2o540b
2o5$4b3o644b3o2$2bo5bo640bo5bo$2bo5bo164b2o108b2o88b2o108b2o164bo5bo$
2bo5bo164b2o108b2o88b2o108b2o164bo5bo2$4b3o644b3o$65b2o524b2o$65b2o
524b2o14$5b2o644b2o$5b2o644b2o2$57b2o540b2o$57b2o540b2o2$613b2o$612bob
o$614bo$4b3o644b3o2$2bo5bo39b2o599bo5bo$2bo5bo39bobo232b2o88b2o107b3o
164bo5bo$2bo5bo39bo122bobo109b2o88b2o105b2obobo163bo5bo$167bo4bo2b2o
303b2o3bo$4b3o159b2o6bobo301bo4bo167b3o$65b2o98b2o4bo2bob2o300bo5bo
106b2o$65b2o98b2o9b2o300bo5bo3bobo100b2o$166b5obob2o308bo3bo2bo$167bo
2bo309bo4bobo3bo$167bo2bo309bo4bo2bo2bo$158bo320bo5bo2bobo$156bo2bo22b
2o296bob2o$156b3o322bo$156b3o20bo$188bo$178b2o3bo4bo290b2o$177bobo5bob
o291b2o$177b2o4bobo$177b2o4b2o$178b3o2bo$5b2o171b3o470b2o$5b2o644b2o2$
57b2o114b2o22bo285b2o114b2o$57b2o114b2o20bobo285b2o68b2o44b2o$196b2o
354bobo$554bo2$455bo$4b3o101b2o19bobo323bobo193b3o$108bobo19b2o323b2o$
2bo5bo99bo21bo518bo5bo$2bo5bo274b2o88b2o274bo5bo$2bo5bo274b2o88b2o274b
o5bo$521bobo$4b3o514b2o128b3o$65b2o98b2o324b2o29bo68b2o$65b2o98b2o324b
2o98b2o9$370bo$369b3o$143bobo222b2o2bo$143b2o227b2o$144bo224b3ob2o$5b
2o283b2o78bo2b2o276b2o$5b2o283b3o76b3o279b2o$289bo2bo79b2o119b2o22bobo
$57b2o114b2o113b2ob2o79b2o109b2o7bobo23b2o79b2o$57b2o114b2o113b2ob2o
190b2o9bo23bo80b2o$289b2ob2o$292bo72bo$168b2o119b3o73bobo$168bobo119bo
74b2o$4b3o161bo482b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$
4b3o274b2o368b3o$65b2o98b2o114b2o8b2o72b2o124b2o98b2o$65b2o98b2o124b2o
72b2o124b2o98b2o$280bo$279bobo$282bo$277bo3bo$276bo4bo$275bo2$280bo$
277bo5$5b2o426b2o216b2o$5b2o425bobo216b2o$434bo$57b2o114b2o108b2o88b2o
108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o$228b2o$228bobo$228bo2$
4b3o644b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$4b3o644b3o$
65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o14$5b2o644b2o$5b2o644b2o
2$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b
2o5$4b3o644b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$4b3o644b
3o$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o9$83bobo$83b2o$84bo2$
347bo$5b2o338bobo229bobo71b2o$5b2o339b2o230b2o71b2o$578bo$57b2o114b2o
108b2o88b2o108b2o114b2o$57b2o114b2o108b2o20bo67b2o108b2o114b2o$305bobo
$305b2o3$4b3o644b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$4b
3o644b3o$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o14$5b2o644b2o$5b
2o644b2o2$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o
108b2o114b2o4$601bo$4b3o593b3o48b3o$604b3o$2bo5bo584b2o6bo2bobo42bo5bo
$2bo5bo41bo6b5o526bo5b2o53bo5bo$2bo5bo41b2o4b2ob3o520b2o4b2o2bobo12b2o
40bo5bo$46b2o3b2o5b2o2bo7b2o510bo4bo2b4obo11b2o$4b3o38b3o11bob2o6bobo
510bo2b3o4b3o12bobo41b3o$46b3obo8bob2obo4bo512b7o3b2obo11b3o$47bobo10b
3obo4b3o2bo512b2o4b2o12b3o$48bo13bo9b2obo511b2o5bo11bo$60b3o9b2obo529b
2o8bobo$74bo541b2o$616bo4$57b2o540b2o$57b2o540b2o5$5b2o644b2o$5b2o644b
2o2$173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$65b2o9bo514b2o$
65b2o10bo513b2o$4b3o68b3o573b3o2$2bo5bo640bo5bo$2bo5bo567bo72bo5bo$2bo
5bo566bo73bo5bo$575b3o$4b3o644b3o10$57b2o540b2o$57b2o540b2o5$5b2o644b
2o$5b2o644b2o2$173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$65b2o
524b2o$65b2o524b2o$4b3o644b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo
640bo5bo2$4b3o644b3o4$6bo644bo$6bo644bo$6bo644bo2$2b3o3b3o636b3o3b3o2$
6bo50b2o540b2o50bo$6bo50b2o540b2o50bo$6bo644bo$613b2o$612bobo$614bo$5b
2o644b2o$5b2o644b2o$48b2o$48bobo232b2o88b2o107b3o$48bo122bobo109b2o88b
2o105b2obobo$167bo4bo2b2o303b2o3bo$166b2o6bobo301bo4bo$65b2o98b2o4bo2b
ob2o300bo5bo106b2o$65b2o98b2o9b2o300bo5bo3bobo100b2o$4b3o159b5obob2o
308bo3bo2bo159b3o$167bo2bo309bo4bobo3bo$2bo5bo158bo2bo309bo4bo2bo2bo
157bo5bo$2bo5bo149bo320bo5bo2bobo158bo5bo$2bo5bo147bo2bo22b2o296bob2o
165bo5bo$156b3o322bo$4b3o149b3o20bo471b3o$188bo$178b2o3bo4bo290b2o$
177bobo5bobo291b2o$6bo170b2o4bobo465bo$6bo170b2o4b2o466bo$6bo171b3o2bo
467bo$178b3o$2b3o3b3o636b3o3b3o2$6bo50b2o114b2o22bo285b2o114b2o50bo$6b
o50b2o114b2o20bobo285b2o68b2o44b2o50bo$6bo189b2o354bobo96bo$554bo2$
455bo$5b2o101b2o345bobo193b2o$5b2o101bobo344b2o194b2o$108bo$283b2o88b
2o$283b2o88b2o$136bo$137bo$65b2o68b3o27b2o324b2o98b2o$65b2o98b2o324b2o
98b2o$4b3o644b3o$516bo$2bo5bo506bo133bo5bo$2bo5bo506b3o131bo5bo$2bo5bo
640bo5bo2$4b3o644b3o2$370bo$369b3o$6bo136bobo222b2o2bo278bo$6bo136b2o
227b2o277bo$6bo137bo224b3ob2o276bo$290b2o78bo2b2o$2b3o3b3o279b3o76b3o
275b3o3b3o$289bo2bo79b2o119b2o22bobo$6bo50b2o114b2o113b2ob2o79b2o109b
2o7bobo23b2o79b2o50bo$6bo50b2o114b2o113b2ob2o190b2o9bo23bo80b2o50bo$6b
o282b2ob2o357bo$292bo72bo$168b2o119b3o73bobo$168bobo119bo74b2o$5b2o
161bo482b2o$5b2o644b2o5$281b2o$65b2o98b2o114b2o8b2o72b2o124b2o98b2o$
65b2o98b2o124b2o72b2o124b2o98b2o$4b3o273bo370b3o$279bobo$2bo5bo273bo
366bo5bo$2bo5bo268bo3bo367bo5bo$2bo5bo267bo4bo367bo5bo$275bo$4b3o644b
3o$280bo$277bo2$6bo644bo$6bo644bo$6bo644bo$433b2o$2b3o3b3o421bobo212b
3o3b3o$434bo$6bo50b2o114b2o108b2o88b2o108b2o114b2o50bo$6bo50b2o114b2o
108b2o88b2o108b2o114b2o50bo$6bo221b2o421bo$228bobo$228bo2$5b2o644b2o$
5b2o644b2o6$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o$4b3o644b3o2$
2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$4b3o644b3o4$6bo644bo$6bo
644bo$6bo644bo2$2b3o3b3o636b3o3b3o2$6bo50b2o114b2o108b2o88b2o108b2o
114b2o50bo$6bo50b2o114b2o108b2o88b2o108b2o114b2o50bo$6bo644bo4$5b2o
644b2o$5b2o644b2o6$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o$4b3o
644b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$4b3o644b3o2$83bo
bo$83b2o$6bo77bo566bo$6bo644bo$6bo340bo303bo$345bobo229bobo$2b3o3b3o
335b2o230b2o67b3o3b3o$578bo$6bo50b2o114b2o108b2o88b2o108b2o114b2o50bo$
6bo50b2o114b2o108b2o20bo67b2o108b2o114b2o50bo$6bo298bobo343bo$305b2o3$
5b2o644b2o$5b2o644b2o6$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o$
4b3o644b3o2$2bo5bo640bo5bo$2bo5bo640bo5bo$2bo5bo640bo5bo2$4b3o644b3o4$
6bo644bo$6bo644bo$6bo644bo2$2b3o3b3o636b3o3b3o$597bo$6bo50b2o114b2o
108b2o88b2o108b2o113bo52bo$6bo50b2o114b2o108b2o88b2o108b2o109bo6bo49bo
$6bo586bo3b3o2bo48bo$592bo9bo$56b2o534bo4b4ob2o$56bobo532bo5b4obo$5b2o
44b3o2b3o533bo5bo2bo49b2o$5b2o43b2ob2o7b2o529b4o54b2o$50bo10b2o531b2o$
63bobo4bo512b2o$47b2o16b3o2bo3b3o508bo$47b2o13bo2b3o2bo511b3o22b4o$62b
2o519bo21b8o$48b4o10b3o540b5ob4o$48b3obo11b2o538b2o2b2obo2bo$4b3o41bo
3bo10b2o546b3o37b3o$50b3o550b2o6bo$2bo5bo30bobo562bo3b3o38bo5bo$2bo5bo
30b2o564b2o42bo5bo$2bo5bo31bo564bo43bo5bo$604bo$4b3o644b3o$57b2o540b2o
20bobo$57b2o540b2o21b2o$622bo$6bo644bo$6bo644bo$6bo644bo2$2b3o3b3o636b
3o3b3o2$6bo166b2o108b2o88b2o108b2o166bo$6bo166b2o108b2o88b2o108b2o166b
o$6bo644bo2$65b2o524b2o$65b2o524b2o$5b2o644b2o$5b2o644b2o3$82bo$83bo$
81b3o3$4b3o563bo80b3o$569bo$2bo5bo560b3o77bo5bo$2bo5bo640bo5bo$2bo5bo
640bo5bo2$4b3o644b3o$57b2o540b2o$57b2o540b2o2$6bo644bo$6bo644bo$6bo
644bo2$8b3o636b3o2$3o3bo166b2o108b2o88b2o108b2o166bo3b3o$6bo166b2o108b
2o88b2o108b2o166bo$6bo644bo2$65b2o524b2o$65b2o524b2o9$7b2o640b2o$7b2o
640b2o7$57b2o540b2o$57b2o540b2o2$613b2o$614b2o$613bo3$48b2o433bo$3o44b
2o234b2o88b2o106b4o170b3o$49bo122bo110b2o88b2o105bo2bobo$166b2o4b5o
302b3o$165bobo5b2o304bo4bo$65b2o410b3o3b2o106b2o$65b2o101b4ob2o2bo305b
3o3bo101b2o$165bo2b4o3b2o307b2ob5o$170bo313b5ob3o$479b2o3b2ob5o$479b3o
2bo4bo$156bo2bo320b3o$155bo3bo321b2o$156bobo$157bo20b2o$7b2o169b2o7b2o
290b2o168b2o$7b2o168bobo6bo292b2o168b2o$176bo2bo3bob2o$182b2o$180bo2b
2o$178bobo$179bo2$57b2o114b2o21bo286b2o114b2o$57b2o114b2o22b2o284b2o
68b2o44b2o$196b2o356b2o$553bo2$456bo$108b2o344b2o$107b2o346b2o$109bo$
3o280b2o88b2o280b3o$283b2o88b2o3$65b2o98b2o324b2o98b2o$65b2o98b2o324b
2o98b2o3$142bo$143bo$141b3o3$510bo$7b2o360b3o137bo139b2o$7b2o359bo2bo
137b3o137b2o$143bo224b2o2b2o$143bobo222bo5bo$143b2o224b3o$290bobo80b2o
$289bo2bo76b3o2bo$288b2o3bo76bo2bo119b2o24bo$57b2o114b2o118bo78b2o109b
2o9b2o21bobo79b2o$57b2o114b2o308b2o8bo24b2o79b2o$288b3o2bo$292b2o72bo$
168b2o119b3o72b2o$167b2o120b3o73b2o$169bo3$3o652b3o3$281b2o$65b2o98b2o
114b2o8b2o72b2o124b2o98b2o$65b2o98b2o114bo9b2o72b2o124b2o98b2o$280bo$
280b2o$280b3o$281b2o$276bo4$7b2o640b2o$7b2o640b2o4$433b2o$434b2o$433bo
$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o
$228b2o$227b2o$229bo5$3o652b3o4$65b2o224b2o72b2o224b2o$65b2o224b2o72b
2o224b2o9$7b2o640b2o$7b2o640b2o7$57b2o114b2o108b2o88b2o108b2o114b2o$
57b2o114b2o108b2o88b2o108b2o114b2o8$3o652b3o4$65b2o224b2o72b2o224b2o$
65b2o224b2o72b2o224b2o9$7b2o74bo565b2o$7b2o74bobo563b2o$83b2o2$346bo$
347b2o230bo$346b2o229bobo$578b2o$57b2o114b2o108b2o88b2o108b2o114b2o$
57b2o114b2o108b2o21bo66b2o108b2o114b2o$304b2o$305b2o6$3o652b3o4$65b2o
224b2o72b2o224b2o$65b2o224b2o72b2o224b2o9$7b2o640b2o$7b2o640b2o7$57b2o
114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o3$600b
2o$599bo4b3o$595bo3bobo4b2o$59b3o532b3o3b2o2bo3bo$51bo7bo532b2o2bo9b2o
$3o47b4ob2obobo9bo516bo4b3o60b3o$49bo2b3obobo3bo5bo3bo508b3o3bobo5bo
13b2o$48b3o3b2o4b2o11bo513bob2ob4o12bo2bo$45bo3bobobo4bo7b2o5b2o521bo
11bobo$43b2o4b3o7b2o5bo8bo516b2ob2o9bo2b2o$44b2o5bo7bo6bo4bobo517b2o2b
o8b3o2b2o$67b3o3bo2bo515b3o9bo$72bo2b2o516bo10bobo$72b3o530b2o10bo$73b
o544b2o$617b2o3$57b2o540b2o$7b2o48b2o540b2o48b2o$7b2o640b2o7$173b2o
108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$65b2o524b2o$65b2o524b2o$78b
o$76bobo$77b2o$3o652b3o2$574bo$574bobo$574b2o9$57b2o540b2o$7b2o48b2o
540b2o48b2o$7b2o640b2o7$173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b
2o3$65b2o524b2o$65b2o524b2o4$3o652b3o13$57b2o540b2o$57b2o540b2o2$613b
2o$614b2o$613bo3$48b2o433bo$47b2o234b2o88b2o106b4o$49bo122bo110b2o88b
2o105bo2bobo$166b2o4b5o302b3o$165bobo5b2o304bo4bo$65b2o410b3o3b2o106b
2o$65b2o101b4ob2o2bo305b3o3bo101b2o$165bo2b4o3b2o307b2ob5o$170bo313b5o
b3o$479b2o3b2ob5o$3o476b3o2bo4bo165b3o$156bo2bo320b3o$155bo3bo321b2o$
156bobo$157bo20b2o$178b2o7b2o290b2o$177bobo6bo292b2o$176bo2bo3bob2o$
182b2o$180bo2b2o$178bobo$179bo2$57b2o114b2o21bo286b2o114b2o$57b2o114b
2o22b2o284b2o68b2o44b2o$196b2o356b2o$553bo2$456bo$108b2o344b2o$107b2o
346b2o$109bo$283b2o88b2o$283b2o88b2o3$65b2o71bo26b2o324b2o98b2o$65b2o
69bobo26b2o324b2o98b2o$137b2o3$3o511bo140b3o$514bobo$514b2o3$369b3o$
368bo2bo$143bo224b2o2b2o$143bobo222bo5bo$143b2o224b3o$290bobo80b2o$
289bo2bo76b3o2bo$288b2o3bo76bo2bo119b2o24bo$57b2o114b2o118bo78b2o109b
2o9b2o21bobo79b2o$57b2o114b2o308b2o8bo24b2o79b2o$288b3o2bo$292b2o72bo$
168b2o119b3o72b2o$167b2o120b3o73b2o$169bo6$281b2o$65b2o98b2o114b2o8b2o
72b2o124b2o98b2o$65b2o98b2o114bo9b2o72b2o124b2o98b2o$280bo$280b2o$280b
3o$3o278b2o372b3o$276bo9$433b2o$434b2o$433bo$57b2o114b2o108b2o88b2o
108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o$228b2o$227b2o$229bo9$
65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o4$3o652b3o13$57b2o114b2o
108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o12$65b2o224b
2o72b2o224b2o$65b2o224b2o72b2o224b2o4$3o652b3o5$83bo$83bobo$83b2o2$
346bo$347b2o230bo$346b2o229bobo$578b2o$57b2o114b2o108b2o88b2o108b2o
114b2o$57b2o114b2o108b2o21bo66b2o108b2o114b2o$304b2o$305b2o10$65b2o
224b2o72b2o224b2o$65b2o224b2o72b2o224b2o4$3o652b3o13$57b2o114b2o108b2o
88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o17$3o652b3o12$592b
o$62b3o108b2o108b2o88b2o108b2o106b3o$63b2o108b2o108b2o88b2o108b2o105bo
2b2o$61bo3b2o523b3o$55b2o4bobob2o534b2o$55b2o3b2o3b2o534b2o$61b2o3$
600bo$601b2o$600b2o3$66b2o$53b2o548b2o$53b2o548b2o3$3o652b3o4$57b2o
540b2o$57b2o540b2o8$173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$
65b2o524b2o$65b2o524b2o7$13bo$12bo$12b3o2$648b3o$647bo$3o643bo8b3o$
646bo3b2o$646bo4bo$647b2o$57b2o540b2o$10b2o45b2o540b2o$10bobo$10bo6$
173b2o108b2o88b2o108b2o$173b2o108b2o88b2o108b2o3$65b2o524b2o$65b2o524b
2o$108bo$109b2o$108b2o375bo$484b4o$482bo5bo$481bo3bo6b2o50bo$481bo5b2o
2bo2bo47b2o$481b2obobo4bo2b2o47b2o$483b2o5bo2b2o$169b3o318b4o$169bo2bo
418b2o$168bo3bo417bobo$173bo418bo$169b3ob2o$173bo$70b2o96bo3b2o$57b2o
11bobo99bo310b2o114b2o$57b2o11bo412b2o114b2o2$165bobo$165b2o$166bo3$
495bobo$283b2o88b2o121b2o$283b2o88b2o121bo3$65b2o98b2o324b2o98b2o$65b
2o98b2o324b2o98b2o9$531b2o$530bobo$532bo3$130b2o$130bobo$130bo$57b2o
114b2o308b2o114b2o$57b2o114b2o308b2o114b2o9$369b2o$369b2ob3o$370b6o$
65b2o98b2o121b2o84b3o114b2o98b2o$65b2o98b2o120bo2b2o75bo123b2o98b2o$
281bo5b2obo75b3o$281bo6bo3b2o71bo2bo$281bo83b3o$366bo3$471b2o$470bobo$
279b2o96b2o93bo$279b2o96b2o2$190b2o$190bobo$190bo3$57b2o114b2o108b2o
88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o6$164b3o68bo$163bo
3bo65bobo$163b2ob2o66b2o$162b2ob2obo$161b2o5b2o80bo$161b2o3bob2o78b2o
167bo$65b2o100bo81b2o40b2o72b2o50bobo171b2o$65b2o224b2o72b2o50b2o172b
2o2$412bo$413b2o$412b2o13$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o46bo
bo65b2o108b2o88b2o108b2o114b2o$105b2o$106bo2$325bo$323bobo229bobo$324b
2o230b2o$556bo2$327bo$327bobo$327b2o$65b2o224b2o72b2o224b2o$65b2o224b
2o72b2o224b2o17$57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o
88b2o108b2o114b2o12$65b2o224b2o72b2o224b2o$65b2o224b2o72b2o224b2o17$
57b2o114b2o108b2o88b2o108b2o114b2o$57b2o114b2o108b2o88b2o108b2o114b2o!
chris_c
 
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 17th, 2014, 1:09 am

codeholic wrote:Anyway, I'd like to do another search and find a dirty reaction that leaves some junk on the roadside to be used as a slow salvo target.

The first appropriate reaction that cropped up:
x = 80, y = 108, rule = B3/S23
60b2o$61b2o$60bo4$63bo$63b2o$62bobo3$67b2o$66bobo8b3o$68bo7bo2bo$79bo$
75bo3bo$75bo3bo$79bo$76bobo11$2o$b2o$o4$3bo$3b2o$2bobo3$7b2o$6bobo$8bo
59$77b3o$76bo2bo$79bo$75bo3bo$75bo3bo$79bo$76bobo!
Ivan Fomichev
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 19th, 2014, 2:11 am

codeholic wrote:The first appropriate reaction that cropped up:

In addition I found only one similar reaction:
x = 87, y = 101, rule = B3/S23
66bo6b2o$66b2o6b2o$65bobo5bo$61b2o$60bobo$62bo21b3o$83bo2bo$86bo$82bo
3bo$82bo3bo$86bo$83bobo18$6bo6b2o$6b2o6b2o$5bobo5bo$b2o$obo$2bo60$84b
3o$83bo2bo$86bo$82bo3bo$82bo3bo$86bo$83bobo!

There were other dirty reactions, but they left junk only on the far side, e. g.:
x = 81, y = 109, rule = B3/S23
71b2o$70bobo$72bo$60b3o$62bo$61bo4$68b2o$67bobo$69bo2$78b3o$77bo2bo$
80bo$76bo3bo$76bo3bo$80bo$77bobo10$11b2o$10bobo$12bo$3o$2bo$bo4$8b2o$
7bobo$9bo62$78b3o$77bo2bo$80bo$76bo3bo$76bo3bo$80bo$77bobo!

And there was one surprising outcome:
x = 97, y = 97, rule = B3/S23
84bo$84b2o8b3o$83bobo7bo2bo$96bo$92bo3bo$92bo3bo$61b2o5b2o26bo$60bobo
4bobo23bobo$62bo6bo21$24bo$24b2o$23bobo4$b2o5b2o$obo4bobo$2bo6bo53$94b
3o$93bo2bo$96bo$92bo3bo$92bo3bo$96bo$93bobo!
Ivan Fomichev
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