Synthesis components

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesis components

Post by MathAndCode » August 18th, 2021, 11:58 pm

wwei47 wrote:
August 18th, 2021, 10:14 pm
Two solutions for a dependent bookend to aircraft carrier component:

Code: Select all

x = 110, y = 31, rule = B3/S23
9bo74bo$10b2o71bo$9b2o64bo7b3o$38bo37b2o11bo17bobo$36b2o37b2o10b2o18b
2o$25b2o10b2o49b2o5b2o11bo$24bo2bo66bo2bo$24b3o67b3o$b4o17b2o68b2o$o3b
o16bo3b2o64bo3b2o$4bo17b2obo66b2obo$o2bo19bo2b3o64bo2b3o$15bo5bobo4bo
62bobo4bo$15b3o3b2o63b2o3b2o$18bo66bo2bo$17bobo4bo59bob2obo4bo$18bo3b
3o60bo2bo3b3o$15b3o3bo64b2o3bo$15bo5b2o68b2o$o2bo32b2o69bo$4bo30b2o69b
2o$o3bo32bo68bobo$b4o$31b3o68b2o$31bo70bobo$32bo55b2o12bo$75b2o10b2o$
76b2o11bo$9b2o64bo7b3o$10b2o71bo$9bo74bo!
I reduced the cost.

Code: Select all

x = 30, y = 23, rule = B3/S23
o28bo$b2o24b2o$2o14b2o10b2o$15bo2bo$15b3o$13b2o$12bo3b2o$bo11b2obo$2b
2o10bo2b3o$b2o9bobo4bo$12b2o2$15bo$13b3o$12bo$12b2o$27b2o$26b2o$2o26b
o$b2o$o21b3o$22bo$23bo!
Here is the entire spark_search run.

Code: Select all

x = 66976, y = 199, rule = B3/S23
3932bo$3930b2o$3931b2o$2087bo2164bo80bo1752bo1523bo54472bo$2085bobo
1367bobo792b2o79b2o395bo1358bo1521bo6468bo48004bobo$2086b2o546bo820b2o
794b2o79b2o392bobo1356b3o1521b3o6467bo48003b2o$2635b2o819bo477bo146bo
645b2o5285bo4062b3o3bo47123bo$2634b2o1291bo4b2o145b2o2010bo1513bo2406b
2o1840bo2229b2o22968bo24150b2o$2014bo73bo1839b2o3b2o145b2o166bo79bo
1761bo1515bo471bo9bo1843bo80b2o1839bobo2226b2o2721bo20247bobo538bo
23610b2o483bobo$2014bobo66bo4bobo224bo1611b2o243bo70bo4bobo72bo4bobo
1759b3o1511b3o469bobo7b2o1843bo1922b2o235bobo4710b2o20248b2o540b2o
2570bo21522b2o223bobo$2014b2o65bobo4b2o226bo1854bo69bobo4b2o71bobo4b2o
627bo3119b2o8b2o241bo232bobo1365b3o2157b2o1998bo1351bobo1123bo235b2o
20788b2o571bo1997b2o19827bo343bo1116bo235bo224b2o2481bo1527bo$1866bo
215b2o230b3o1854b3o68b2o78b2o634bo3369b2o233b2o3527bo1354bo70bo484bo
86bo1352b2o1125bo405bo1605bo19584bo1999b2o17439bo2384bobo342bo1117bobo
458bo6bo2311bo164bo1285bo70bo168bo78bo225bobo$170bobo1582bo109bo59bo
403bo1115bobo4bobo1501b3o1123bo1519bo478bo247b2o233bo1115bo8bo1105bo
637bo1284bo668bobo56bo72bo239bobo242bo85b3o311bo1039bo473bo91bo557b3o
73bo7bo139bo7bo175bobo1603bobo17730bo1525bo325b3o1274bo310bo158bo80bo
16964bo648b2o2383b2o334bo7b3o1115b2o466bobo468bo1841b2o160b3o1225bobo
56bo72bo167b3o75bo227b2o12bo80bo70bo$170b2o1584b2o107b3o58bo395bo5bo
167bo628bo320b2o4b2o2626bobo1349bo13bo153bobo479b2o1597b2o5bo82bo473bo
bo545bobo173bo390bobo71b2o6bo469bo806bo330bo78bo257b2o57b3o68b3o240b2o
240b3o397b2o801bo158bo401bobo150bo90bobo147bo484b2o4bo141bo4b2o176b2o
135bo103bo616bo158bo588b2o17729bobo636bo495bo150bobo240bo891bo79bo629b
obo306bobo159b2o76bobo16013bo951b2o645b2o1840bo877b2o1111bo482b2o3bobo
461bobo178bobo616bo243bobo796b2o1389b2o57b3o68b3o235bobo7b3o148bo76bo
13bobo76b2o72bo$171bo1112bo470b2o167b3o396bo4b3o165bobo627b2o4bo313bo
6bo71bo310bobo326bo486bo75bo552bo799b2o1350b2o11bobo152b2o398bobo77b2o
237bo236bobo805bobo312b2o6b3o80bobo225bo8bo236b2o469bo77b2o164bo6b2o
392b2o3bo66b2o6bo468bobo8bo795b3o329bo77b2o176bo82bo371bo562bo79b2o
563bo81bo154bobo155bo73bobo326b2o149b3o90b2o149b2o481b2o5b3o137b3o5b2o
313bo100b2o55bobo257bo78bo86bo136b2o157b2o95bo78bo403bo16880bo402bo
377bo77b2o413bo220bobo9bo233bo80bo162bo7bobo149b2o4bo233b3o3bo232bo
334bo318bo78b2o630b2o230bo77b2o158b2o78b2o16014b2o386bo401bo159b2o
1920bo78bo486b2o306bobo565bo4b2o1111bo486b2o145bo239bo77b2o178b2o473bo
bo66bobo70bobo244b2o165bobo163bo78bo235bo1541bo293bo73b2o156bobo11bo
78b2o78b2o69b3o8bo$1282bobo724bo311b3o172b2o231bo243bo151b2o3b2o393bob
o309b2o319bo5bo403bobo74bo5bo77b2o6bo536bo4bobo163bo556bo157bo5bo1206b
o58b2o12b2o226bo327b2o168bo71bo76b2o235b2o107bo698b2o306bo96b2o227b2o
6bobo235bo470b2o242bo6b2o391bo4bobo72b3o85bo78bobo300b2o9b2o4bo1120b3o
76b2o167bo7bobo536bo477bo646b2o80bo153b2o156b3o72b2o327bo392b2o950b3o
101b2o55b2o175bo80bo77b2o86bo71bo8bo55b2o157b2o95bo71bo5b2o241bo163b2o
9bo3097bo76bo241bo321bo76bo237bo7844bo76bo81bo76bo81bo3760bo76bo81bo
76bo81bo76bo496bo384bo8bo6bo379b2o240bo6bo160bobo80bo220b2o7bobo5bo
228b2o76bobo84bo78bo6b2o150bo3b2o240bobo228bobo332b2o75bo233bo9b3o66bo
bo8b2o67bo794b2o169bo238bo75bo7bobo4075bo82bo77bo82bo77bo3198bo82bo77b
o82bo77bo82bo2553bo82bo237bo82bo237bo402bo4234b2o73bobo240bo68bobo3bo
395bobo802bo1129bobo147bo78b2o82bo402b2o152bo153b2o563bobo877bo237b3o
487bo143bobo240b2o256bo385bobo85b2o68b2o71b2o244bo167b2o162bo71bo5b2o
234b2o323bo477bo560bo474b2o71bo158b2o9b2o240bo150bobo404bo$161bo1121b
2o725b2o471bobo156bo79bo6bobo82bo151bo5bo158b2o159bobo230b2o310bo321bo
4b3o315bo80bobo2b2o76bo4b3o74b2o5b2o65bobo70bobo394bobo5b2o82bo81b2o
395bo73bo82b2o159b2o4bo1203b2o148bo153b2o325bo168bo73bo74b2o236bo6bo
99b2o699bo308b2o244bo6bo70b2o7b2o225bo6bo405bo67b2o83bo79bobo75b3o91bo
bo151bo158b2o159bobo6bo72b2o3bo236bo69b2o4bo161bo160bo150bo81bo147bo
91bobo569bobo7b2o370bo11bo155bo163bobo310b3o71bo571b2o79b3o386bo6bo
249bo227bobo714bo399bo9bo222bo176bobo78b3o76b2o85b3o61bobo4bo7b2o303bo
bo6b3o70bo5b2o240bobo160b2o9bo3099bo76bo81bo76bo82bo81bo76bo76bo85bo
76bo81bo76bo78bo77bo3043bobo74bobo79bobo74bobo82bobo74bobo474bobo2964b
o76bo321bo76bo84bo76bo156bo82bobo74bobo79bobo74bobo79bobo711bo2408bo
76bo161bo76bo84bo76bo76bo85b2o75b2o80b2o75b2o80b2o75b2o492b3o4bo7bobo
370bo5bobo6b3o376b2o239bobo5bo162b2o6bo71b3o3bo150bo75b2o4bo82bo76bo
68b2o78b2o85bo75b3o82bo8bobo69b2o159bo79b2o230b2o88bo83bo160b2o74bobo
160bobo66bobo79b2o78bo11bo232bo164bo238bo78bo64b2o89bobo77bo240b2o74b
2o5b2o3356bo82bo157bo82bo74bo82bo162bo74bobo80bobo75bobo80bobo75bobo
2556bo82bo157bo82bo74bo82bo82bo72b2o81b2o76b2o81b2o76b2o81b2o2553bo82b
o77bo82bo76bo82bo77bo82bo76bo77bo82bo82bo80bo77bo3034bobo80bobo155bobo
80bobo155bobo80bobo158bobo547b2o78bo160bobo69b2o4b2o394b2o168bobo395bo
153bo79bobo10bobo71bo1044b2o59bo86b3o77b2o82bo555b2o154bo565b2o479bo
395bobo245bobo81bobo144bo93bo301b2o8bo85bo144b2o89bo79bobo145bo178bobo
74bobo68b2o86bo68bo173bobo221bo88bo154bobo6b3o70bo5b2o225bo8b2o321bo
479b2o559b2o471b2o76bobo164b2o70bo82bo85b3o149b2o403bo$162b2o969bobo
234bobo318bo164bobo150b2o7bo465b2o4bobo144bo4bobo75bobo6b2o74bo6b2o76b
o76bo4b3o310bobo4b2o468bobo317bo74b3o323b2o6bo72b2o3bo74b3o89b2o65b2o
4bobo64b2o167bo162bo64b2o87bobo80b2o397b2o69bobo83b2o157b2o3b3o793bo
320bo89b2o65bo81bobo150b2o91bobo72bo79bo91bo156b3o69b3o318bo94bo6b2o
770bobo233b2o246bo3b2o308bo3b2o157bo92bo148bo4b2o151bobo8bo63bobo5b2o
5bo153bobo7b2o69bo83bo319b2o4b2o67bo5bo4bobo147bobo75bo6b2o76b3o158bo
159b2o152b2o77bobo148bo4bobo77bo5b2o79bo155bo335b2o77bobo300b2o9bobo
147bo3b3o163b2o386bo87bobo234bo403bobo68bo246bo248b2o63bo158bo5b2o403b
o248bo63b2o398b2o7bobo397b2o310b2o4b3o6b2o148bo9bo144b2o77b3o85bo161b
2o172b3o1979bo76bo81bo76bo81bo76bo78bo478bo78bo83b3o74b3o82bo76bo79b3o
82bo76bo76bo82b3o74b3o82bo76bo75b3o78bo2402bobo74bobo82bobo74bobo74bob
o82bobo74bobo160b2o75b2o80b2o75b2o83b2o75b2o74bobo398b2o2244bo76bo84bo
76bo81bo76bo77bo78bo162bobo74bobo319bobo74bobo82bobo74bobo75bo78bobo
83b2o75b2o80b2o75b2o80b2o710bo1289bo76bo84bo76bo81bo156bo157bo398bo85b
2o75b2o74bo85b2o75b2o83b2o75b2o75b2o82b2o75b2o80b2o75b2o80b2o75b2o501b
2o5b2o299bo5bobo61b3o6b2o543bobo14bo66b2o5b3o160bo5b2o67bo10bobo149bo
80b3o72bo7bobo68bo5bobo224bobo4b3o5bo153bo9b2o150bo81b2o397b2o84bobo
234b2o161b2o68b2o79bo77b3o9b2o232bo164bo237b2o78bo147bo8b2o65bobo4bo5b
3o237b2o74b2o7bo2636bo82bo77bo82bo74bo82bo155bo86bo74bobo80bobo155bobo
80bobo72bobo80bobo81bo78bobo72b2o81b2o76b2o81b2o76b2o1757bo82bo157bo
82bo154bo82bo82bo72bo79b2o81b2o83bo72b2o81b2o73b2o81b2o81b2o74b2o81b2o
76b2o81b2o76b2o81b2o1193bo82bo77bo82bo314bo82bo482bo80bo71bo80b3o80b3o
74bo82bo77b3o80b3o74bo82bo77b3o74bo82bo82bo80bo78b3o2472bobo80bobo75bo
bo80bobo72bobo80bobo80bobo72b2o81b2o81bobo72b2o81b2o156b2o81b2o159b2o
149bo80bo159bo158bo78bobo159b2o74b2o403bo161b2o314bo80bo152bobo80b2o
10b2o71bo160bo329bo147bo407bo60b2o248b3o474bo79b2o158bobo236bo161bo
639bo397b2o6bo238b2o82b2o146b2o91bobo65bo241b2o85bo79bobo145bo8bobo64b
obo4bo5b2o144bobo178b2o75b2o69bo330b2o60bo87bo5bobo66b2o242b2o77b3o
233bo168bo85bo75b3o154bo161bo159b2o237bo161bo159b2o78bo94bobo375b2o77b
obo157b2o81b2o166bo68bo84bo78bo240b3o$2bo80bo77b2o8bo152bo79bo239bo
159bo159bo168b2o69bo165b2o318bo166b2o157b2o466bo5b2o143bobo4b2o68bo8b
2o83b2o5b2o68bo4b2o75b3o318b2o5bo469b2o310bo4b2o327bobo70b2o5b2o73bo
238bo5b2o65bo169bo159b2o80bo74b2o240bo161bo75b2o71b2o1044b2o316bobo
154bobo81b2o244b2o71bobo80b2o83bobo2bo316bo153bo79b3o92bobo297bo250bo
68bo95bo63b2o163bo244bobo68b3o4b2o244bo60b3o4b2o154bobo91bo150bo4b2o
73bo77b2o6b2o65b2o5bo6bobo147bo3b2o9bo70b2o6bo72b3o3bobo146bo74bo84bob
o11b2o67bo9b2o149b2o5bo70bo6b2o236b3o150bo7b2o4bo67bo77b2o5bo73b2o8bo
137b3o5b2o78bo5bo80bo155bo84bo77bobo173bobo73b2o61bo87bo149b2o10b2o82b
o66bo82bo86bo156bo79bo147b3o88b2o235b2o80bobo79bo88bo150b2o69b2o155bob
o86b3o247b2o63b2o157bo5bo79bo169bo151b2o164bo75bobo6bobo60b2o318bo9bo
69b2o8b2o64bo9bo635bo156bo8b2o6bo145bo161bo3bo878bo76bo81bo76bo84bo76b
o76bo558bo406bo76bo81bo76bo81bo76bo78bo86bo230bo78bo81bo78bo242b3o74b
3o162b3o74b3o74b3o242b3o74b3o154b3o1205bobo74bobo159bobo74bobo239bobo
74bobo76bobo396bobo82b2o75b2o83b2o75b2o75b2o83b2o75b2o74bobo83bo76bo
81bo76bo84bo76bo76b2o76bobo319bo888bo76bo161bo76bo81bo76bo158bo478bo
241bobo74bobo82bobo74bobo79bobo74bobo75bobo76bobo79bo83b2o75b2o76bo
243b2o75b2o83b2o75b2o73bobo79b2o806bo76bo161bo67b3o86bo161bo75bo160bo
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76b2o82b2o75b2o83b2o75b2o75b2o814bo165b2o7bo290bobo7b2o3b2o236bo65bo4b
o236bo7bobo62b2o8bo4bo230bobo11b2o67bo9b2o148b3o5bo150bo6b2o70bo4b2o
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2o83b2o69bo238bobo76bobo9bo240b2o231b3o162b3o68bo160bobo4b2o71bo5b3o
74bo71b2o7bo66b2o2bobo76bo8bo68bobo7bo882bo82bo74bo82bo77bo82bo321bo
1120bo74bobo80bobo75bobo80bobo72bobo80bobo72bo80bobo84bobo72b2o81b2o
81bo74b2o81b2o73b2o81b2o82bobo76b2o554bo82bo77bo237bo82bo155bo85bo800b
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2o73b2o81b2o81b2o713bo82bo77bo82bo74bo82bo155bo326bo73bo82bo77bo82bo
314bo82bo244bo80bo156bo80bo71bo241b3o80b3o235b3o80b3o152b3o80b3o80b3o
78b3o871bobo80bobo155bobo80bobo72bobo80bobo560bobo558bobo71b2o81b2o76b
2o81b2o73b2o81b2o81b2o74bo82bo81b2o74bo82bo72bobo82bo82bo80bobo77bo
150bo77bobo160bo86bobo147b2o78bo399bo161bo76bo86bo74bo240bo79b3o73bo
77b2o93bo71b3o81bo76bobo310bobo12b2o146bobo467b2o725bo241b2o5bo228bobo
73bo6bobo68bobo8bo91bo309bo229bo6b3o7bo69bo323b2o86bo153bo66bo16bo145b
2o5bo77bo8b2o67b2o240b2o78bobo3b3o71bo5b2o76bo70b2o6b2o66b2o2bobo6bo
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167bo85bo234b2o160b2o397b2o160b2o235b2o95b2o62bo71bo169bobo69bo79b2o
79bo76b2o81b2o166bo155bo78b2o156bo$3b2o76bobo85b2o80bobo68bobo77bobo
86bobo77bobo68bobo86bobo68bobo86bobo68bobo86bobo80bo67bobo166bo308bo5b
o3b3o164bo5bobo151b2o234bo237bo144b2o75b2o90b2o77b2o3b2o395bo476bo241b
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2b2o467b2o6b2o5bo157bo72bo4bo64bobo3bo238b2o5b2o63bo7bobo4b3o80bo148b
2o78b3o81bo85bobo146b3o76b3o78bobo5bo72b2o4bo66bo13b2o82bo63bobo164b2o
6bo64bobo12b2o68b2o163bo76bobo73bobo158b2o161bo78b2o9bo67b2o85bo79bo
389bobo76bo82bobo72bobo78bobo5b2o75bobo76bo5bobo68b2o75bo4b2o74bobo7bo
70b2o5b2o325bo77bo82bo74bo82bo82bo74bo80bobo80bobo72bobo80bobo75bobo
80bobo80bo151bo86bobo879bo80bo157bobo72b2o81b2o76b2o81b2o73b2o81b2o73b
obo78b2o85b2o239bobo397b2o631b2o81b2o76b2o77bo85bo72b2o81b2o75bo78b2o
84b2o81bo240bo476b2o74b2o81b2o80b2o74b2o81b2o82bo70b2o81b2o81b2o71b2o
246b2o1030bo80bo82bo77bo82bo74bo82bo83bo71bo79bo88bo157bo74b3o80b3o75b
3o80b3o312b3o80b3o241bo80bo80bo76b3o78b3o69b3o1279bobo80bobo75bobo80bo
bo72bobo80bobo73bobo84bobo72b2o81b2o156b2o81b2o73b2o81b2o82bobo476b2o
480bobo76b2o73bo82bo77bo82bo74bo82bo82bo240bo230b2o247b2o147bo79b3o78b
2o79bo78b3o86b2o64bo161bobo87bo312bo80bo68bo10b3o72bobo159bobo77bo81bo
78b3o85bobo68b2o315bo9bo77b2o312b2o13b2o146b2o398bo392bo11bo66bo5bo5bo
73bo7bo229b3o82bo156bo5bo157bo72b2o6bobo62bobo7b2o5bo63b2o6b3o4bo86bob
o305bobo230b2o12b2o71b2o229bo92b2o83b2o222b2o166bo71bo7b2o74b2o314bobo
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6565bo40227b3o$2089bo9b2o2628bobo3350bobo1839bo79bo46798bo2bo803bo$
2087bo2bo2638b2o3352bo1840b5o72b2o2082b3o632b3o3197b3o40878b2o806bobo$
2088bo2bo6467bo1362b3obo2bo69b2o4bo5bo2073bo2bo630bob2o2716bo479bob2o
714bo40163bob2o803bo3bo4309bob2o$2089b3o7b3o2147b2o4306b2ob2o1359b2o6b
2o68bo7bo3bo2072bo3bo630bo4bo2712b2ob2o477bo4bo711b2o40162bo2bo805bobo
4306b4o4bo$2098bo1030bo316b3o800b2o3829b2obob2o470b2o1361b2ob6ob3o66bo
2bo4b2o2075bobob2o629bo4bo2319bo392b2o480bo4bo711bobo40161b2obo4bo801b
o4311bo2b2o$2092bo3bobo3bo1025b3o315bo796b2o78b2o1765b3o1517b3o467bo5b
o470b2o3bo1358bobo9bo66b3o7b2o2073b2ob2o629bo2323b3o310b3o78b2o3bo476b
o40881bo3bobo5105bo6bobo$2090bo5bo628bo402bo2bo314b2o794bobo77bobo
3756bo3bo473b2obo1359b2o7b3o77bo2074b3o312b3o311b2o2bo3b2o2317b5o309bo
2bo79b2obo472b2o2bo3b2o40875bo5b2o5109b4o$2088b2o3b4o2b3o621b2ob2o401b
o2bo315bo5bo4bo782b3o77b3o241bo81bo79b2o1359b2o1518b2o471b3o477bo1369b
3o1593bo871bo2b2o234b2o73bo2bobo3b2o1043b3o1193bo76bo5bo307bo86bo471bo
2bobo3b2o19843bo879bo20150b3o5bo802b3o4298b2o2bo2b3ob2o152bobo$2087bob
8o224b2o315b2o82bobo161bo82bo158bo3bo306b2o12b2o3b3o1104b3o79bobo78b2o
1359b3o1517b3o707b3o238bobo1121b2o247b2o78b2o2b2o946bo562bo3bo76b2o
313bo319b3o153bo4bo3b2o76bo150bo2bo73bo2b3obo3b3o1040bo1193bobo74b2o5b
2o309b2o80bobo472bo2b3obo3b3o1041bo14543b3o4251bo3bo76b2o634bo162bo3bo
76b2o233bo480bo19352bo2bo807bo3bo1831bo2323bo142b2obo2b2o3bo152bo2bo2b
o4236b3o$2087bob3o3b2o224b2o169b2o144b2o170bo74b3o80bobo161bo305bo2b2o
17bo1025bo403bo1201bo1519bo943b2o3b2o1121b2o246b3o69bo8b2obo3bo216b3o
724bobo402b2o155b3ob2obo74b3o312bobo317bo3bo153b4o4bobo74b3o148b2ob2o
4b2o67b2obob2o4b3obo1594bobo634bo3bo72b2o7b2o304bo3b2o76b2o3b2o472b2ob
ob2o4b3obo1039b2o796b2o13744bobo4249b3ob2obo74b3o633bobo159b3ob2obo74b
3o232bobo478bobo402b2o18947b2o809b2obobo1829b3o879b2o874bobo563b3o142b
o10bo3b5o146b3obo723b3o648bo2778b3o$167b3o1916b3o403bo234bo80b3o73bo2b
o79b2ob2o157bobo156b3o146bo490bo3b2o310bo79bo161b3o76b3o79bobo156b3o
80b3o1190bo7b3o1509bo7b3o704bo3b3o231b2obob2o1362bo2bo75b2ob3o5b3o4bo
215bo2bo3b2o718bobo242bo159bobo154b2ob2o3bo388bobo316bo2bobo155bo6bo
73b2obob2o149b2o4bobo67bo14bo1357bo234b2obobo632bo3bo73bobo311bo80b2ob
ob2o474bo14bo715b3o322bo795b2o13743b2o2bo3771bo476b2ob2o3bo709bobo159b
2ob2o3bo308bobo478bobo322bo79bobo1677bo17269b2o810b2obo1828bo2b2o877bo
2bo790bo82bo2bo560b2obob2o154b3o147bob3o2bo84bo637b4o647bo784bo1992bo
3bo76bo3b3o$2085bo2bo401b3o229b2ob2o80bo2b2o71bo2bo82b3o158bo157b2obo
145bo3bob2o6bobo472b2o4b2o309bobo77bobo159b2o2bo75bob2o79b2o155bob2o
1272bobo4b2o74b3o1434bobo4b2o706bo5b3o231b3ob2obo1360bo2bo8b5o61bo4b2o
6bo4bo214bob3o4b2o398bobo318bo70bo14bo156bobo159bo155b3o79bobo156b3o
154bo317b3o3bo240b2o157bo70bobo2b2o3b3o1039b3o314bobo235b2obo632b2ob2o
74b2o5b2o306b2o78b3ob2obo475bobo2b2o3b3o1035b2ob2o14541bo3bo3770bobo
475b3o79bobo156b3o74bobo398bo160b3o79bobo156b3o74bo159bobo318bo70bo14b
o65bo170bobo79bo234b2o1441bobo76b3o18004b2o551bo552b3o720bobobo313bo
558b3o10bo783bo2bo84bo316b6o238b2o159bobo147b7o84bobo76b3o555b2obo2bo
313bo331bobo614bo167b3o1681bo309bo3bo75bo5b3o$171bo1915b2obo159b2o237b
o2bo231bo84bo73bo3bo79b2ob3o314b2o148bob2obo8b2o69b2o483b2o233bo79bo
82b3o79bo77b2ob2o77bo2bo157b2o79b2o1190bobo4bo75bobo1434bobo4bo706b2o
3bo2bo232bobo2bobo1359bob2obo6bob2ob2o59b2obo9bo6bo212bob3o404bobobo
388b2o3b3obo4bobo155bobo146b2o6bo161bo80b2o718bo78b3o73bo163bo73bo8bo
949bo89bobobo312bo2bo233b4o2bo716bo306bo2b2o77bobo2bobo477bo8bo720bo
153bo160b2o2b2o794bo6b2o632bo13104b2obobo3770bobo476bo80b2o233bobobo
559bo80b2o393bobobo388b2o3b3obo4bobo64b2o169bobo66b2o6bo238bo2bo1440bo
bo16871b3ob2o395b3o160b2o644bo2bo550bobo554bo720b2ob2o70bobo80b2o156b
2o557bo3bo5bo2bo2bo785bo76b3ob2obo84bo234bo2bo244bo152bob2o152bo85bobo
634bo2bo3bo311bobo946bobo4bo161bobo162b2o1515b2obo2bo304bo2bob2o73b2o
3bo2bo82bo$167bob3o1911bo4bob3ob3o152bobo71bo164bo3bo143b2o170bo2bo71b
o404bo2bo149bobob2o69b3o3b3o397bo3bobo78bobo232bo5bo73bo5bo76b2obo76bo
2bo76b2ob2o81bo153bo2bo69b2o9bobo385bo804bo5bo74bo2bo1435bo5bo705bo7bo
239bo1359b3o10bobob3o59b2o2bo9b2o4bo201bo11b3o251b3o155b2o311b2o7b2o
63b2obo4bo2bo5bo75b3o79bo147b2o5bobo161b2obob2o73bob2obo152bobobo157b
2o318bo78b3o154bo160bo80bo950b2obo90b2o3b2o69bo240b2o240b2o717bo303bob
4o83bo483bo649b2o69bob3o153bo158b2o4bo794b3o4bo2bo630b3o3277bo76bo241b
o321bo76bo237bo7844bo76bo81bo76bo81bo709b2o3049bo76bo81bo76bo81bo76bo
245b3o79bo478b2obob2o73bob2obo152bobobo76b2o391b2o7b2o157b2obob2o73bob
2obo152bobobo77b2o157b2o311b2o7b2o63b2obo4bo2bo5bo155b3o79bo67b2o5bobo
238b2o1281b2o62bo7b2o87bo76bobobo4636bo82bo77bo82bo77bo3198bo82bo77bo
82bo77bo82bo2553bo82bo237bo82bo237bo402bo4239bo388bo2bo3bo394b3o159b2o
644b2obo550bo2bo553b2o720b2obo70b2obo76bo3b2o155b2obo556bo3bo2bo2b2o4b
o625bo154bo3bo77b3o4bo83b3o151bo79b2o4bo242bo152bo2bo155bo84bo76bobobo
553bo3b3ob2o310bo331b2ob2o227b2o382b2ob2o3bo161bo164b2o1518bobo73b3o
154bo73bobo2b3o72bo7bo82b3o$160bo5b3obo1513bo167b2o229bo2bo7b2o68bo84b
o2bo71bo163bo3bo143b2o2b2o79b2o85bobo73bobo80bo3bo232bo84b3o146bo3b2ob
2o8bo60bobo4b2o385b2o5bo4bo5bo77bo2bo152b2o84bo79bo75b2o80bobo77b2o79b
o3bo153b3o69bo2bo9bobo383bobo808bobo1517bobo472bo231bo3bo333b2o718b2o
303b2o255bo4bobo59b2ob3o8b3o3bo200b3o11bo251b4o149bo5bo2bo229bo78bo2bo
5bo2bo61b3o3b2o3b2o80bo3bo235b2o161bo2b3o74bobobo152b2ob2o156bo2bo396b
3o79bo75bo6bo150bob2o74b2o4b2o563b2o78b2o71bo79bo81bo69bo2bo4bobo84b2o
2b3o550bo155b2o481bo76b2o308bob2o562b2o4b2o72b2o568bo68bo5b3obo154bo
157bo5bo155b2o640b2o4b3o63b3o563bo2b2o162b2o3113bo76bo81bo76bo82bo81bo
76bo76bo85bo76bo81bo76bo78bo77bo3043bobo74bobo79bobo74bobo82bobo74bobo
474bobo2964bo76bo321bo76bo84bo76bo156bo82bobo74bobo79bobo74bobo79bobo
3120bo76bo161bo76bo84bo76bo76bo85b2o75b2o80b2o75b2o80b2o75b2o242bo3bo
241b2o315bo2b3o74bobobo152b2ob2o70bo5bo2bo309bo78bo2bo5bo2bo157bo2b3o
74bobobo152b2ob2o76bo2bo150bo5bo2bo229bo78bo2bo5bo2bo61b3o3b2o3b2o74bo
85bo3bo155b2o160bobo309b2o90bo954bo2bo60bobo6b2o164b2ob2o229bo250bo
3435bo82bo157bo82bo74bo82bo162bo74bobo80bobo75bobo80bobo75bobo2556bo
82bo157bo82bo74bo82bo82bo72b2o81b2o76b2o81b2o76b2o81b2o2553bo82bo77bo
82bo76bo82bo77bo82bo76bo77bo82bo82bo80bo77bo3034bobo80bobo155bobo80bob
o155bobo80bobo158bobo476b3o386bobo5bo395bobo157bobo643bo551bo3b3o159bo
1113bob3o70b2o3bo73b2o160bo560bo3b2o2bo3bo6bo465b3o153bo2bo152bo81bo2b
obob2o5bo76b3o150bobo82bobo234bo6bo154b2o147b2o6bobo160b2ob2o229bo244b
obo77bo4bob2o229b3o77b2obobo327bo3bo151b2o73bo2bo385b2o164bo1369b2o71b
o79bo157bobobobo229b2o72bo3bo2b2o72bo3bo85b2ob2o$159bobo4bobo1354b3o
159b2o166b2o6b2o220b3o9b2o66b2o84bobo72bo164b3o147bo2bo76b2o2bo85b2o
74bo82bo2bo160b2o69b2o234bo3b3o9b2o59b3o3bo386b3o4b2o8b2o79bobo151bo2b
o80bo79bo79bo2bo77b2o158b2o3bo217bobo4b3o10bo3bo381bo2bo807b3o1517b3o
471b5o229b2ob2o334b2o6b2o710b2o301b2obo8bob3o77b2o150b3o10bo4bo60bo4b
3o215bo261b2o4bo147bo4bo4bo227bo2bo78b2o6bo2bo64bo2b5o5bo76bo3bo82b2o
150bob2o160b2o2bo153b3o74b2o5b2o73b5o77b2o75b3o157b3o238b2o80bo2bo73b
3o75bobo75bo2b2o567b2o6b2o70b2o6b2o61bobo77bobo79b3o67b3o8bo157bo2bo
635bo2bo479bobo74b3o2b2o76b2o634b2o156bo2b2o74bo2bo320bo245bobo66bobo
4bobo314bo86bo74bobo642bo67bo2bo563bo3bo163b2o6b2o1986bo76bo81bo76bo
81bo76bo78bo478bo78bo83b3o74b3o82bo76bo79b3o82bo76bo76bo82b3o74b3o82bo
76bo75b3o78bo2402bobo74bobo82bobo74bobo74bobo82bobo74bobo160b2o75b2o
80b2o75b2o83b2o75b2o74bobo398b2o2244bo76bo84bo76bo81bo76bo77bo78bo162b
obo74bobo319bobo74bobo82bobo74bobo75bo78bobo83b2o75b2o80b2o75b2o80b2o
705bo1294bo76bo84bo76bo81bo156bo157bo398bo85b2o75b2o74bo85b2o75b2o83b
2o75b2o75b2o82b2o75b2o80b2o75b2o80b2o75b2o243bo3bo82b2o158b2o6b2o306b
2o2bo153b3o74b2o5b2o67bo4bo4bo307bo2bo78b2o6bo2bo157b2o2bo153b3o74b2o
5b2o75b2o76b5o69bo4bo4bo227bo2bo78b2o6bo2bo64bo2b5o5bo66bo2bo86bo3bo
82b2o70bob2o158bo2bo82b2o224bo2bo89bo74b3o157bo477b2o81bo158bo2bo60bo
2bo98b2o69b2o5b2o225bo2bo241bo6b3o69b2o4b2o2637bo82bo77bo82bo74bo82bo
155bo86bo74bobo80bobo155bobo80bobo72bobo80bobo81bo78bobo72b2o81b2o76b
2o81b2o76b2o1757bo82bo157bo82bo154bo82bo82bo72bo79b2o81b2o83bo72b2o81b
2o73b2o81b2o81b2o74b2o81b2o76b2o81b2o76b2o81b2o1193bo82bo77bo82bo314bo
82bo482bo80bo71bo80b3o80b3o74bo82bo77b3o80b3o74bo82bo77b3o74bo82bo82bo
80bo78b3o2472bobo80bobo75bobo80bobo72bobo80bobo80bobo72b2o81b2o81bobo
72b2o81b2o156b2o81b2o159b2o477b4o68b2o242b3o70bobo3b3o388bo7b3o79b3o
74b3o642bo3bo71b2o474b3o164bo712bo251b2o147bobo70bob2o2b2o74b2o158b2o
560bo3b2o3bob2o2bo3bo622bo2bo78b3o69b3o80bo6bob2o3bo228bo2bo78b2o3bo
74b3o159bo2bo161bo72b3o69b2o6bo89b2o69b2o5b2o225bo2bo242b5o76b2obo3b2o
228bo2bo77b2o4bo328b4o151b2o72bo2bo385b2o164bo1281bo88b2o6b2o61bobo77b
obo156bobobobo228bo75bo3bo4b2o69b2ob2o86bobo153b2o$168b2o1192b2o158b2o
2bo154bo3bobo164bo8b2o225bo6b2o66bobo84b2o71b2ob2o315bo78b2o408b2o69bo
bo166b3o81bo64bo2b2o326b3o55b2o3bo9b2o80b2o69bo82bobo81bo79bo80b3o153b
2o82b2o220bo2bo17b2ob2o70bo310bo2bo891b3o793b2o478b3o559bo71bo4bo230bo
335bo8b2o541bo167bo305b3o5b3ob2ob2o74bo3bo69bo76bo5b2o73bo8bo209b3o14b
2o4bo4b2o235bo6bo146b3o3bo4b2o219b2o3bo92b2o62b2ob4ob2o4b2obo73b2o5b2o
79bo2bo150b2ob2o63b2o6b3o85b2o77bobo7bo66bo3bo71bo2bo2bo2bo2bo68bo7bo
65bo86bo3bo155bo3bo159bo78b2o155bo3bo75bo76bo85b2o483bo8b2o69bo8b2o61b
obo3b3o71bobo3b3o72bo2b2o65b3o2b2o6bo83bo2b3o307b2o398b2o479b2ob2o73b
3o79b2o634b3o156bo78bo2bo319bobo244bobo75b2o318bo77bo3b2o75b2o148b2o
493b4o62bo3bo87b2o70b3o401b2obo162bo8b2o546bo76bo81bo76bo84bo76bo76bo
558bo406bo76bo81bo76bo81bo76bo78bo86bo230bo78bo81bo78bo242b3o74b3o162b
3o74b3o74b3o242b3o74b3o154b3o1205bobo74bobo159bobo74bobo239bobo74bobo
76bobo396bobo82b2o75b2o83b2o75b2o75b2o83b2o75b2o74bobo83bo76bo81bo76bo
84bo76bo76b2o76bobo319bo888bo76bo161bo76bo81bo76bo158bo478bo241bobo74b
obo82bobo74bobo79bobo74bobo75bobo76bobo79bo83b2o75b2o76bo243b2o75b2o
83b2o75b2o73bobo79b2o806bo76bo161bo62b2o92bo161bo75bo160bo717bo84b2o
75b2o83b2o75b2o80b2o80bo74b2o156b2o76bo78bo241b2o82b2o75b2o76b2o82b2o
75b2o83b2o75b2o75b2o721b2o5b2o79bo2bo156bo8b2o307b2o77bobo7bo66bo3bo
71bo2bo2bo2bo2bo64b3o3bo4b2o299b2o3bo92b2o159b2o77bobo7bo66bo3bo71bo2b
o2bo2bo2bo62bo85bo7bo67b3o3bo4b2o219b2o3bo92b2o62b2ob4ob2o4b2obo67bo7b
3o75b2o5b2o79bo2bo70b2ob2o157bobo76b2o3bo2bo223bob2o80b2o7bo73bo3bo
152bo3b2o159bo77bob2o235b2o80b3o153b2obo3b4o58b2o3bo94bo2bo66bo2bo2bo
2bo2bo216b2o3bo243b2obo6b4o67bo2bo2bo2bo3bo712bo82bo74bo82bo77bo82bo
321bo1120bo74bobo80bobo75bobo80bobo72bobo80bobo72bo80bobo84bobo72b2o
81b2o81bo74b2o81b2o73b2o81b2o82bobo76b2o554bo82bo77bo237bo82bo155bo85b
o800bo72b2o81b2o83bo72b2o81b2o153b2o81b2o81b2o71b2o81b2o81b2o80b2o74b
2o81b2o73b2o81b2o81b2o713bo82bo77bo82bo74bo82bo155bo326bo73bo82bo77bo
82bo314bo82bo244bo80bo156bo80bo71bo241b3o80b3o235b3o80b3o152b3o80b3o
80b3o78b3o871bobo80bobo155bobo80bobo72bobo80bobo560bobo558bobo71b2o81b
2o76b2o81b2o73b2o81b2o81b2o74bo82bo81b2o74bo82bo72bobo82bo82bo80bobo
77bo480b2o66b3o241bo3bo68b2obo393bobo6b2o157b5o640bo2bo5b2o65b2o472bo
4bo6b2o155bo396b2o314bo251bobo146bobo69bo3bo2b2o70bo3bo160bob3o557bo
11b2o4bo465bobo154bo2b4o74bo3bo152bobobo4bo2bo78bo79bo71b2o77b4o77bo3b
o239b2o81bo72bo3bo165bo2bo66bo2bo2bo2bo2bo216b2o3bo236b3o8b2o2bo73b6o
3bo152bo77b2o4bo74bo81b2obob3o58b3ob3o177bob2obo64bo86bo70b2obo3b4o
380b3o5b2o244b2o74b3o1116bobo86bo8b2o61bobo3b3o71bobo3b3o152bo2b2o81b
2o145bo2bo73b4o2b4o71bo92bo80b2o$157bo3b2o5b2o1117bo73b2obo85bo70bobo
77b3o76b2o2b2ob2o152b3o157b3o79bo3bobo4bo68b3o83bo72b2o3bo75b3o75b3o
156b5o4b2o318bobo231b3o315bob2o162b3o4b3o148b2o66b2o10b2o82bo66b2o7bo
73b2obo7bo72bo3bobo73bo3bobo232b2o84bo2b2o71b2o142bo3bo5bob2o5bo74bo2b
o309bobo491bo317b2o74bo801bo479bo3bo157b2o155bo241b2ob6o65b2ob2o82b3o
77b3o391b3o560bo156b3o316b2o4b3o3b3o71b2o5bo67b5obo72bo5b3o76b3o3bo
208bo16b2o2bo3bo80b3o72bo83bo5bo72bo74bo2bo228bo3b2o3b2o153bobo2bo6b2o
74bo4bo4bo71bo2bo4b2o139b2o15bo61bobo6b3o85bo78bo8bobo64bo5bo70bobo2bo
bo2bobo68bob6obo64bo166b2o239b4obo76b2o75bo2bo236bo82bo473b3o77b3o73b
3o5bo3bo3bo63b3o5bo3bo3bo71b3o66bo2bobobobob3o76bo7b6o304bo4bo78b2o78b
2o560bo77b2o78bo76bo4b2o77bo2bo69b2o154bo330b3o72bo2bo158bo76b2o319b2o
b2o243b2o65bo3b2o5b2o314bo3bo76b3o2b3o72bobo148bo2bo413b3o75b2o3bo62b
2ob2o85bo2bo69bo2bo232b2o168b2o151b3o322bo78bo78bo85bo76bo81bo76bo84bo
76bo76bo77bo480bo237bo165b3o74b3o79b3o74b3o79b3o74b3o76b3o87bo68bo161b
o78bo78b3o76b3o1445bobo74bobo79bobo74bobo82bobo74bobo74bobo76bobo324b
2o75b2o160b2o75b2o240b2o75b2o77b2o85bobo68bobo76bobo159b2o82bo76bo84bo
76bo76bo84bo76bo76b2o558bo78b2o77bobo483bo84bo76bo161bo76bo84bo76bo79b
obo74bobo76bo82bobo74bobo79bobo74bobo156bobo238bo168bo68bobo78bo163b2o
75b2o83b2o75b2o80b2o75b2o76b2o77b2o77bobo236bobo79bo478b2o802bo85b2o
75b2o77bo82b2o58bo4bobo89b2o77bo82b2o74b2o77bo81b2o315bo400b2o81b2o75b
2o83b2o75b2o80b2o82b2o71b2o75bo80b2o78b2o77b2o77bo160b2o237b2o1121bo4b
o4bo71bo2bo4b2o146b3o326bo78bo8bobo64bo5bo70bobo2bobo2bobo64bo2bo308bo
3b2o3b2o248bo78bo8bobo64bo5bo70bobo2bobo2bobo62bo85bob6obo66bo2bo228bo
3b2o3b2o153bobo2bo6b2o67bo8bo3bo73bo4bo4bo71bo2bo4b2o59b2o15bo158bo76b
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3o1360bo3b2ob2o68bo2bo5bo2076bo3bo629b6o2714b3o477b6o712b2o40162b2ob2o
803bo3bo4306bo3b3o$2089bo2bo5bo1030bo316b2o801b2o4306b2ob2o1358bobo5bo
69bo2bo4bob2o2073b2o2bo634b2o2320bo392b2ob2o480b2o711b2o40162bo3bo804b
o3bo4306bo3b2obo$2089bobo6bob2o1026bobo315b3o800b2o3829b2o3b2o469b2o2b
2o1357b2o3bo3b5o65b2o2bo3bobob2o2073bo631bo5b2o2318b3o310b3o77b2o2b2o
475bo5b2o712bo40162bo2bo805b3o4310bob3o$2090bo6b2o626bo401b2ob2o313bo
2bo794b2o78b2o1765bo1519bo469bo5bo470b2ob2o1358b2o6b3o69bobo9bo2073b2o
313b2o314bo3bob2o2317bobobo308bo2bo78b2ob2o475bo3bob2o40876b2o4b2o
5112b3o$2099b3o621b2obo400b2o2b2o313b3o10bo782bo2bo76bo2bo240bo3991b2o
3bo1357b2o3bo3b3o67b3o7b2o2074b3o312bo2bo310b3o2b3o1045b3o1271bobobo
308b2o81b2o3bo471b3o2b3o40878b2o807b3o4298b2o4bo5bo$2088bo7b3o624bo2bo
159bo241b2o3bo306bo5b2o5b2o3bobo781bobo77bobo240bobo160b2o1358b2o1518b
2o471bo3bo472b3o3bo1449bo2071b3o155b3o153bo4bo81bo150b3o73bo6b2o4b2o
2234b3o74b2ob3ob2o389b3o3bo469bo6b2o4b2o15586bo25282b2o6b3o801b3o1832b
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304bo2bo11b2o3bob2o781bo79bo241bobo160b2o160bo1197b2ob2o1515b2ob2o469b
3o471bob3o1123b2o318bo9b3o220b3o725bo564bo2bo390bo319b3o153bo4bo3b2o
75b3o148bo2b2o72bo2bo4b2o5bo1038bobo1191bo3bo72bob2obo4bo307bo2bo75bob
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3o808bo3bo1830b3o2321b3o140bo3bo8bo4bobo145b2o3bo4154b3o$2321b2o315b2o
85bo158b2ob2o78bo2bo162bo155bo147bo21bo1105bo2bo238bo81bobo1196b2o2bo
1515b2o2bo942b4o3b2o1120b2o247b2o3bo64bo3bo5bo2b2o219b3o724bobo402b2o
158bo3bo73b2ob2o311bobo317b2o3bo152b2o2bo3bobo73bo3bo147bo4bo3b2o70b4o
2bo5bo1038bo554b3o634bo5bo70b2obo5bobo385b4o3b2o474b4o2bo5bo1038bo2bo
795b2o13743bo4255bo3bo73b2ob2o632bobo162bo3bo73b2ob2o231bobo478bobo
402b2o18946b2obo808bo2bobo1828b2o2bo878b2o875bo320b2o241bo3bo140b3o8bo
4b2o2bo144bo4b2o725bo648bo784bo$167b3o2321bo232bobo156b2o2b2o78b3o160b
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873b3o3b2o877b2o316bo3bo238bo3b3o140bo12b2o3bo151b2o84bo636bo2b2o646b
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2o157bo146bo3bo2b2o6b2o473b2o4b2o308bobo77bobo81bo79b3o75b2o2bo238bo
83bo1189bobo3bo4bo70b2ob2o1433bobo3bo4bo702bobo5b3o232bobo1362b3ob2o7b
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78bo315bo317bobo2bo80bo79b2o78b3o149bo6bo68bo2b3o3bobobob2o1038b3o314b
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159bob2o317bo70b2o3b2o8bo65b2o169bobo79bo234b2o1441bobo16871b2o395bo4b
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310b2o75bobo5b3o80bo$167b2obo1916b2ob2o2b2o154b3o235bo5bo228bo2bo81b2o
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240b3o157bobo472b3o83bo79bo80bo230bo7b2obo946b3o90b2o314bo2bo234bobo
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643bo4bo550bob2o551bobo720bob3o69b3o81b2o155bo558bo4bo4bo2bo788b2o76b
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152b2o238bo147bobo82b4o82b2o73bo84b3obo315b2o2bo146bob2o2b3o69b3o4bo
402b2o81b2o395bo81b2o75b4o78b2o3bo152bo2b2o78bo3bo384bo804bo3bo2bo74b
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bo2bo229b3o409bo3b2o152bo74b2o382b2obo164bo166b2o1204bo313bo2bo72b3o
153b2o72bo7b2o70b2ob2o86bobobo$165b2o3b2o1352b2o158b3o166b2o227b2obo4b
2ob2o68b2o83b2o3bo69b2o163bo4bo142bob3obo77b3o85bo2bo71bobo317b2o83b2o
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156bo85bo76bo81bo76bo81bo708bo3050bobo74bobo79bobo74bobo79bobo74bobo
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82bo162bo73bo82bo77bo82bo77bo3197bobo80bobo75bobo80bobo75bobo80bobo
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312b3o70bo8bo396b2o801bo3bo547bob2obo2bo158bo1118bo68b5ob2o73bo159bo2b
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158b4o164bobo6b2o222bo76b2obo83bo76bo310bo4bo77bo2bo85b3o72b2o246b2o
68b2obo83b3o151b3o8bo2bo58b3o4bobo382b2o2b2o11b3o81bo151bo2bo239b2o2bo
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76bo84bo76bo76bo84bo76bo162b2o75b2o80b2o75b2o83b2o75b2o74bo400b2o2243b
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74bo3bo73bo7bo67bo5bo4bo304bo83b2o6bo2bo158bobo77b2o74bo3bo73bo7bo75b
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316bo3bo2bobo394bo2b2o78b3o73b2o643bo3bo72b2o474bo2bob3o2bo156bo964b2o
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161b3o1116b3o86bobo6b2o61bobo3b3o71bobo3b3o151bo2bo230bo2bo71bo6bob2o
69bo90b5o$160bob2o1123bo73bobo86bo150b3o76b2o6bo172b2o220bo4bo6bo66b2o
b2o82bob2o70b2o2bo76b2o83b3o148bob2o5bo71b3o408b2o68b2ob2o165b3o68b3o
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153b2o84bob3o214b2obobo7bo7b3ob2o72bo307bo811bo84b2o792bo480bo2bo156bo
400b2o2b3o65bo5bo228bo3bo342b2o1014b5o7b2o3bo74b2o2bo68bobo76bobob3o
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3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
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3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
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3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
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73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo
3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bo
bo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo73bobo3bo
73bobo3bo73bobo3bo73bobo3bo$9bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79b
o79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
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79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo
79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo79bo!
I am tentatively considering myself back.

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praosylen
Posts: 2443
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Re: Synthesis components

Post by praosylen » August 19th, 2021, 9:13 am

Further reduction I put on Discord:

Code: Select all

x = 26, y = 17, rule = B3/S23
15b2o$14bo2bo$14b3o6bo$12b2o9bobo$5bo5bo3b2o6b2o$6bo5b2obo$4b3o6bo2b3o
$11bobo4bo$11b2o$3o$2bo19b2o$bo20bobo$22bo$7b2o$8b2o5b2o$7bo7bobo$15b
o!
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesis components

Post by MathAndCode » September 20th, 2021, 12:07 am

Here is a way to weld an integral to a preblock that works with bookends:

Code: Select all

x = 123, y = 492, rule = B3/S23
16bobo$16b2o$17bo4$bo$2bo$3o3$27bo$8bo16b2o$9bo16b2o$7b3o$13bobo$13b2o
$14bo$107bo$105bobo$106b2o2$110b2ob2o$110b2obo$114b3o$16b2o99bo$16bo2b
o96bo2bo$17b3o97b3o$20b2o6bo91b2o$19bo2bo4b2o90bo2bo$20b2o5bobo90b2o
70$16bobo$16b2o$17bo4$bo$2bo$3o3$27bo$8bo16b2o$9bo16b2o$7b3o$13bobo$
13b2o$14bo$107bo$105bobo$106b2o2$110b2ob2o$110b2obo$114b3o$16b2o99bo$
16bo2bo96bo2bo$17b3o97b3o$20b2o6bo91b2o$19bo2bo4b2o90bo2bo$20bobo4bobo
90bobo$21bo99bo59$16bobo$16b2o$17bo4$bo$2bo$3o3$27bo$8bo16b2o$9bo16b2o
$7b3o$13bobo$13b2o$14bo$107bo$105bobo$106b2o2$110b2ob2o$110b2obo$114b
3o$16b2o99bo$16bo2bo96bo2bo$17b3o97b3o$14b3o11bo85b3o$14bo2bo9b2o85bo
2bo$16b2o9bobo86b2o60$16bobo$16b2o$17bo4$bo$2bo$3o3$27bo$8bo16b2o$9bo
16b2o$7b3o$13bobo$13b2o$14bo$107bo$105bobo$106b2o2$110b2ob2o$110b2obo$
114b3o$16b2o99bo$16bo2bo96bo2bo$17b3o97b3o$14b3o11bo85b3o$14bo2bo9b2o
85bo2bo$15b2o10bobo85b2o60$16bobo$16b2o$17bo4$bo$2bo$3o3$27bo$8bo16b2o
$9bo16b2o$7b3o$13bobo$13b2o$14bo$107bo$105bobo$106b2o2$110b2ob2o$110b
2obo$114b3o$16b2o99bo$16bo2bo96bo2bo$17b3o97b3o$28bo$15b3o9b2o86b3o$
15bo2bo8bobo85bo2bo$16b2o98b2o59$16bobo$16b2o$17bo4$bo$2bo$3o3$27bo$8b
o16b2o$9bo16b2o$7b3o$13bobo$13b2o$14bo$107bo$105bobo$106b2o2$110b2ob2o
$110b2obo$114b3o$16b2o99bo$16bo2bo96bo2bo$17b3o97b3o$28bo$15b3o9b2o86b
3o$14bo2bo9bobo84bo2bo$15b2o98b2o!
I am tentatively considering myself back.

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesis components

Post by wwei47 » September 20th, 2021, 10:30 am

Preliminary activation for an add-pseudo-snake component by myself and apgoucher, lots of room for improvement:

Code: Select all

x = 39, y = 47, rule = B3/S23
2bobo$5bo$5bo$2bo2bo$3b3o12bo$16b2o$17b2o4$25bo$25bobo$25b2o2$9b2o$9b
2o2$7b4o$7bo3bo3b2ob2o$10bobo2b2ob2o$10b2o$4b2o$4bo$5bo$4b2o$9b2obob2o
$8bo2b2ob2o$4b2obobo$4b2ob2o$11b2o$11b2o3$12b2ob2o$12b2ob2o$bo19b2o$b
2o15bo3bo$obo14bobo2bobo11b2o$16bobo4b2o11bobo$17bo18bo4$29b2o$23b2o4b
obo$23bobo3bo$23bo!
EDIT: I forgot to mention that iNoMed helped with this too.
Help me find high-period c/2 technology!
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MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesis components

Post by MathAndCode » September 21st, 2021, 2:13 am

wwei47 wrote:
September 20th, 2021, 10:30 am
Preliminary activation for an add-pseudo-snake component by myself and apgoucher, lots of room for improvement:
I improved it.

Code: Select all

x = 44, y = 80, rule = B3/S23
12bobo$15bo$15bo$12bo2bo$13b3o10$38bo$36b2o$37b2o7$39bo$39bobo$39b2o9$
19b2o$19b2o2$17b4o$17bo3bo$20bobo$20b2o$14b2o$14bo$15bo$14b2o$19b2obo
b2o$18bo2b2ob2o$14b2obobo$14b2ob2o$21b2o$21b2o18b3o$41bo$42bo5$30bobo
$30b2o$31bo6$bo$b2o$obo$33bo$32b2o$32bobo7$11b2o$10bobo$12bo!
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MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesis components

Post by MathAndCode » October 1st, 2021, 2:09 am

Are any of these slow components known? I feel like at least one of the three leftmost components is probably known, but I'm not sure.

Code: Select all

x = 504, y = 44, rule = B3/S23
180bo$178bobo$179b2o5$68bo109bo$68bobo105bobo$68b2o107b2o6bo185bo119b
o$183b2o72bobo109b2o118b2o$184b2o71b2o92bo18b2o118b2o$64bo52bobo138bo
93bo$65b2o51b2o175bo54b3o2bo119bo$64b2o4bo47bo177b2o58b2o53bo14bo49b2o
$13bo56bobo59bo162b2o14bo43b2o14bo40b2o12bobo2bobo41b2o14bo$12bo57b2o
60bobo175bo59bo40b2o13b2o3b2o57bo$12b3o117b2o112b2o62b3o57b3o59bo57b3o
$205bo40b2o$204bo$204b3o34b2o6b2o$241bobo5b2o$242b2o$244b2o$244bobo$18b
o59bo59bo106bobo70bo59bo59bo59bo$17bo59bo59bo109bo69bo59bo59bo59bo$17b
3o57b3o57b3o103b4o70b3o57b3o57b3o57b3o$2b2o58b2o58b2o58b2o59bo58b2o58b
2o58b2o58b2o$o2bo56bo2bo56bo2bo56bo2bo56bo3bo55bo2bo56bo2bo56bo2bo56b
o2bo$3o57b3o57b3o57b3o57b5o55b3o57b3o57b3o48b2o7b3o$472b2o$3o18b3o36b
3o18b3o36b3o18b3o36b3o57b3o57b3o18b3o36b3o18b3o36b3o18b3o27bo8b3o18b3o
$o2bo17bo38bo2bo17bo38bo2bo17bo38bo2bo56bo2bo56bo2bo17bo38bo2bo17bo38b
o2bo17bo38bo2bo17bo$2b2o9b2o7bo39b2o9b2o7bo39b2o9b2o7bo39b2o58b2o58b2o
9b2o7bo39b2o9b2o7bo39b2o9b2o7bo39b2o9b2o7bo$13bobo57bobo57bobo177bobo
57bobo57bobo57bobo$13bo59bo59bo179bo59bo59bo59bo3$208b3o$208bo$200b2o
7bo$200bobo$200bo!


Edit: Is this favorable?

Code: Select all

x = 33, y = 32, rule = B3/S23
4bo$5b2o$4b2o2$22bobo$22b2o$23bo2$26bo$o14bo9bo$b2o12bobo2bobo2b3o$2o
13b2o3b2o$21bo8$27bo$26bo$26b3o$11b2o$9bo2bo$9b3o2$9b3o18b3o$9bo2bo17b
o$11b2o9b2o7bo$22bobo$22bo!


Another edit: How do I fix this?

Code: Select all

x = 26, y = 20, rule = B3/S23
24bo$23bo$9bo10bo2b3o$10bo7b2o$8b3o8b2o$5bo$3bobo7bo$4b2o8bo$12b3o6$19b
ob2o$19b2obo$b2o$obo4b2o$2bo3bobo$8bo!


Yet another edit: Here are two slow components.

Code: Select all

x = 231, y = 74, rule = B3/S23
57bobo$57b2o$58bo13$228bobo$228b2o$189bo39bo$190b2o$189b2o$obo$b2o38b
obo$bo39b2o$42bo4$198bo5bo$199b2obobo$198b2o3b2o8$8bo5bo$9b2obobo$8b2o
3b2o9$211bo$209b3o$208bo$208b2o7$21bo$19b3o$18bo$18b2o186b2o$207b2o$206b
o8$16b2o$17b2o$16bo!
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Re: Synthesis components

Post by May13 » October 10th, 2021, 2:34 am

6G preblock to hook tie boat + bonus improvement of synthesis from Catagolue:

Code: Select all

x = 138, y = 36, rule = B3/S23
bo$2bo$3o2$27bobo$4bobo20b2o$5b2o21bo$5bo4$68bo$67bobo$67bo2bo50bo$68b
2o50bobo$120bo2bo$68b4o49b2o13bo$68bo3bo62bo$71b2o48b4o10b3o$121bo3bo$
124b2o3$70b2o49b2o$25bo44bobo48b2o$19bo5bobo42bo$17bobo5b2o37b2o$18b2o
43bobo63b2o$25b2o38bo62b2o$24bobo103bo$26bo$125b2o$126b2o$115b3o7bo$
117bo$116bo!
Older synthesis:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs21_69a4z03hhdaz0121 costs 13 gliders (true).
#CLL state-numbering golly
x = 197, y = 13, rule = B3/S23
190bo3bo$191bobo$59bobo127b3ob3o$10bobo46b2o45bo$5bo4b2o48bo44bo$
5bobo3bo44bo42bo5b3o37bo6bo39bo$5b2o47b2o42bobo43bobo3b2o39bobo$bo
46b2o5b2o40bobo43bobobo3b2o37bob2o$2bo42bo2bo45bo2bo5b2o35bo2bo2bo
40bo2bo3b2o$3o2b2o37bobobo44bobobo5bobo33bobobo42bobobo3bobo$6b2o
35bo2bob2o6b2o34bo2bob2o4bo34bo2bob2o8bo31bo2bob2o3bo$5bo38b2o9b2o
36b2o44b2o11b2o32b2o$57bo94bobo!
Failed preblock to hook tie shillelagh:

Code: Select all

x = 27, y = 34, rule = B3/S23
10bo$9bobo$9bo2bo$10b2o13bo$24bo$10b4o10b3o$obo7bo3bo$b2o10b2o$bo2$10b
2o$10b2o3$18b2o$17b2o$19bo2$14b2o$15b2o$4b3o7bo$6bo$5bo7$11b3o$11bo2bo
$11bo$11bo$12bobo!
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dvgrn
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Re: Synthesis components

Post by dvgrn » October 10th, 2021, 9:50 am

MathAndCode wrote:
October 1st, 2021, 2:09 am
Yet another edit: Here are two slow components.

Code: Select all

x = 231, y = 74, rule = B3/S23
57bobo$57b2o$58bo13$228bobo$228b2o$189bo39bo$190b2o$189b2o$obo$b2o38b
obo$bo39b2o$42bo4$198bo5bo$199b2obobo$198b2o3b2o8$8bo5bo$9b2obobo$8b2o
3b2o9$211bo$209b3o$208bo$208b2o7$21bo$19b3o$18bo$18b2o186b2o$207b2o$206b
o8$16b2o$17b2o$16bo!
There are much quicker cleanups for the left-hand component. Is there a standard name for that eater-dot-domino structure?

This improves quite a lot of xs16-xs20s by three gliders -- the previous generalized eater-dot-domino-adding component cost 9G.

Code: Select all

x = 458, y = 65, rule = B3/S23
o139bo139bo129bo$b2o138b2o138b2o128b2o$2o138b2o138b2o128b2o9$4bobo137b
obo137bobo127bobo$5b2o38bobo97b2o38bobo97b2o38bobo87b2o38bobo$5bo39b2o
98bo39b2o98bo39b2o88bo39b2o$46bo139bo139bo129bo14$12bo5bo133bo5bo133bo
5bo123bo5bo$13b2obobo134b2obobo134b2obobo124b2obobo$12b2o3b2o133b2o3b
2o133b2o3b2o123b2o3b2o17$432b2o$22b2o409bo$22bo2bo136b2obo137bobo127bo
bo$24b2o136bob2o136bob2o128b2o$302bo$301b2o10$20b2o138b2o138b2o128b2o$
21b2o138b2o138b2o128b2o$20bo139bo139bo129bo!
The clearance is good enough that it even attaches to a hat -- or if you bump it up to 7G with a kickback, it's a two-direction component that can drop an eater-dot-domino onto the corner of any old thing:

Code: Select all

x = 52, y = 62, rule = B3/S23
2bo$obo$b2o8$6bo$7bo39bo$5b3o38bo$46b3o15$14bo2bobo$12bobo3b2o$13b2o3b
o3$49bo$49bobo$49b2o2$22bo$23b2o$22b2o10$26bo$24b3o$23bo$24b3o$27bo$
24b4o$23bo$23b5o$28bo$25b2obo$24bobobob2o$24bobobo2bo$25bo3b2o!
For the right-hand component -- aircraft-carrier-dot-domino or whatever you call that -- there's a very nice known two-directional 4G component, but it can't handle existing stuff that bends around too far to the north. There's a known 7G for that, so this new component is a 2G improvement for at least one xs21 (right, below):

Code: Select all

x = 123, y = 49, rule = B3/S23
120bobo$120b2o$81bo39bo$82b2o$81b2o8$90bo5bo$91b2obobo$90b2o3b2o5$15bo
$14bo$14b3o2$3bo$3bobo$3b2o3$4b2o92b2o$3b2o93bobo$5bo94bo$100b2o$2o99b
o$o2bo97bobo$2b2o98b2o$16b2o$15b2o$17bo9$98b2o$99b2o$98bo!

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Re: Synthesis components

Post by wwei47 » October 10th, 2021, 8:46 pm

Hm. Could this lead to something?

Code: Select all

x = 7, y = 11, rule = B3/S23
3b2o$3bo$4bo$b3o$o$bo$2bo$obo2b2o$2o3b2o2$2bo!
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Re: Synthesis components

Post by MathAndCode » October 13th, 2021, 7:03 pm

Here is a group of related staged slow components that act on a snake.

Code: Select all

x = 1321, y = 489, rule = B3/S23
428bo$429b2o$428b2o$38bo1269bo$36b2o208bo214bo846bobo$37b2o205b2o215b
obo172bo671b2o$245b2o214b2o174bo$213bo212bo208b3o464bo171bo$o213b2o211b
2o673bobo167bobo$b2o210b2o32bo178b2o634bo39b2o169b2o35bo$2o31bo211b2o
816b2o243b2o7bo$32bo213b2o814b2o4bo240b2o4b2o$32b3o220bo384bobo208bo214b
obo247b2o$42bo211bo173bobo210b2o206bobo215b2o35bo$41bo212b3o172b2o210b
o208b2o35bo214b2o7bo$41b3o385bo233bo221b2o7bo208b2o4b2o$260bobo399bo223b
2o4b2o216b2o$47bobo210b2o400b3o228b2o$47b2o212bo207bo$48bo419bo199bob
o$468b3o197b2o$669bo$474bobo$474b2o162b3o$475bo164bo$639bo6$232b2o1060b
2o$19b2o211bo1061bo$19bo213bo1061bo$20bo211b2o406b2o652b2o$19b2o619bo
447b2o$641bo229b2o215bo$446b2o192b2o229bo217bo$446bo425bo215b2o$447bo
423b2o$446b2o$253bo$40bo211b2o$39b2o211bobo$39bobo619bo607b2o$207b2o221b
2o228b2o606bobo$208b2o221b2o227bobo607bo$207bo222bo36bo$466b2o$466bob
o850bo$1318b2o$1318bobo2$1113bo$896bo215b2o$895b2o215bobo$895bobo222$
646b2o$646b2o4b2o$652b2o2$235bobo409b2o648bobo$22bobo211b2o408bo2bo648b
2o$23b2o211bo409bobo649bo$23bo623bo$1091bobo$874bobo215b2o199b2o$245b
3o201bobo423b2o215bo199bo2bo11b3o$32b3o199bo215b2o423bo417b2obo$233bo
bob2o211bo845bo$21b2ob2o208b2obobo401bo11b3o432bo207b2o$21b2obobo212b
o3b2o395bobo21bo422bobo11b3o196bo4b2o$26bo3b2o202b5o4b2o396bobob2o16b
2o206b2o11b3o201bobo205b5o4b2o$21b5o4b2o202bo211b2o11b3o180b2obobo15b
obo205bobo216bo205bo$21bo214bo209b2o199bo3b2o220bo216b2o206bo$23bo211b
2o211b2ob2o189b5o4b2o220b2o219bo4b2o196b2o$22b2o424b2obobo188bo234bo4b
2o206b5o4b2o$453bo3b2o185bo228b5o4b2o206bo$448b5o4b2o184b2o228bo218bo
$448bo426bo215b2o$450bo423b2o$449b2o177$658bo$646bo10bobo$645bobo10b2o
$646bobob2o$647b2obobo11b2o$652bo3b2o6bobo$647b5o4b2o6bo$647bo$649bo$
648b2o!
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Re: Synthesis components

Post by wwei47 » October 19th, 2021, 8:46 am

Out of a lack of a better place to put this, a 3G corner beehive inserter:

Code: Select all

x = 22, y = 8, rule = B3/S23
15bo$15bobo$15b2o$o$b2o$2o17bobo$19b2o$20bo!
Help me find high-period c/2 technology!
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hkoenig
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Re: Synthesis components

Post by hkoenig » October 19th, 2021, 7:57 pm

An old Beehive inserter:

Code: Select all

x=18, y=19
obo$b2o$bo11$15bobo$16b2o$16bo$12b3o$14bo$13bo!

MathAndCode
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Re: Synthesis components

Post by MathAndCode » October 21st, 2021, 5:45 pm

Are these slow components known?

Code: Select all

x = 153, y = 20, rule = B3/S23
72bobo$73b2o$73bo9bo$83bobo$8bobo67bobo2b2o67bo$8b2o68b2o61bo8b2o$3bo
5bo63bo5bo59bobo9b2o$bobo67bobo66b2o$2b2o68b2o2$10bo69bo69bo$10bobo67b
obo67bobo$obo7b2o58bobo7b2o58bobo7b2o$b2o68b2o68b2o$bo69bo69bo2$bo69b
o69bo$2bo69bo69bo$3o4b2obo59b3o4b2obo59b3o4b2obo$7bob2o66bob2o66bob2o!
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Re: Synthesis components

Post by MathAndCode » October 24th, 2021, 12:49 am

Is this slow component known?

Code: Select all

x = 88, y = 23, rule = B3/S23
bo$2b2o82bo$b2o82bo$85b3o2$bo$2bo$3o7$5b2o$4bobo76b2o$6bo77bo$81b3o$19b
2o60bo$20bo41bo19b2o$17b3o41bobo19bo$17bo43bobo16b3o$62bo17bo!


Edit: I found another version, which has more clearance on the left side.

Code: Select all

x = 27, y = 18, rule = B3/S23
7bo4bobo$obo5bo3b2o$b2o3b3o4bo$bo7$24b3o$24bo$25bo2$11b2o$12bo$9b3o$9bo!
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Re: Synthesis components

Post by mniemiec » October 26th, 2021, 7:32 pm

MathAndCode wrote:
October 24th, 2021, 12:49 am
Is this slow component known? ... Edit: I found another version, which has more clearance on the left side. ...
I know a few other ways to do this with four gliders, plus another that adds a bonus inducting block:

Code: Select all

x = 168, y = 43, rule = B3/S23
153bo$8bo144bobo$9bo5bobo135boo$7b3o5boo$oo14bo3boo18boo28boo18boo28b
oo18boo18boo$bo19bobboo15bo7bo21bobboo15bo7bo21bobboo15bo19bobboo$bobo
17bobobo15bobo6bo20bobobo15bobo6bo20bobobo15bobo17bobobo$bboo18boobobo
14boo4b3o21boobobo14boo4b3o21boobobo14boo9bo8boobobo$26boo48boo48boo
25bobo10boo$49bo49bo53boo$49boo3bo44boo3bo46bo$48boboboo44boboboo46boo
$11bobo39boo4boo42boo45bobo3bo$7boobboo45boo95boo$8boobbo47bo94bobo$7b
o5$87b3o$89bo$88bo8$3bo$4boo$3boo19boo$24boo$oo4bo13boo$bo4bobo12bobb
oo$bobobboo13bobobo$bboo18boobobo$9boo15boo$9boo$6boo$5bobo$7bo!

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Re: Synthesis components

Post by wwei47 » October 27th, 2021, 8:43 am

mniemiec wrote:
October 26th, 2021, 7:32 pm
MathAndCode wrote:
October 24th, 2021, 12:49 am
Is this slow component known? ... Edit: I found another version, which has more clearance on the left side. ...
I know a few other ways to do this with four gliders, plus another that adds a bonus inducting block:

Code: Select all

x = 168, y = 43, rule = B3/S23
153bo$8bo144bobo$9bo5bobo135boo$7b3o5boo$oo14bo3boo18boo28boo18boo28b
oo18boo18boo$bo19bobboo15bo7bo21bobboo15bo7bo21bobboo15bo19bobboo$bobo
17bobobo15bobo6bo20bobobo15bobo6bo20bobobo15bobo17bobobo$bboo18boobobo
14boo4b3o21boobobo14boo4b3o21boobobo14boo9bo8boobobo$26boo48boo48boo
25bobo10boo$49bo49bo53boo$49boo3bo44boo3bo46bo$48boboboo44boboboo46boo
$11bobo39boo4boo42boo45bobo3bo$7boobboo45boo95boo$8boobbo47bo94bobo$7b
o5$87b3o$89bo$88bo8$3bo$4boo$3boo19boo$24boo$oo4bo13boo$bo4bobo12bobb
oo$bobobboo13bobobo$bboo18boobobo$9boo15boo$9boo$6boo$5bobo$7bo!
Some of these add a tub with tail on their own, the 4th glider is basically a fast component.

Code: Select all

x = 22, y = 21, rule = B3/S23
6$4b2o$5bo7bo$5bobo6bo$6b2o4b3o2$13bo$13b2o3bo$12bobob2o$17b2o!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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Re: Synthesis components

Post by mniemiec » October 27th, 2021, 5:36 pm

MathAndCode wrote:
October 24th, 2021, 12:49 am
Is this slow component known? ... Edit: I found another version, which has more clearance on the left side. ...
mniemiec wrote:
October 26th, 2021, 7:32 pm
I know a few other ways to do this with four gliders, plus another that adds a bonus inducting block: ...
wwei47 wrote:
October 27th, 2021, 8:43 am
Some of these add a tub with tail on their own, the 4th glider is basically a fast component. ...
Yes, I also had that one, from at least as far back as Aug. 2000 (and curiously enough, that's the only one I have to add a tub w/tail that way), but it didn't occur to me to add it to list I sent because it was in a different file.

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Re: Synthesis components

Post by Wyirm » October 30th, 2021, 9:04 pm

Is ther eany way to insert a bi block 1 block away from another pattern without disturbing it?

Code: Select all

x = 19, y = 31, rule = B3/S23
b2o$2bo$2bob2o$b2ob2o5$obo$b2o$bo2$3o$2bo$bo14$16b2o$16bobo$16bo!

Code: Select all

x = 36, y = 28, rule = TripleLife
17.G$17.3G$20.G$19.2G11$9.EF$8.FG.GD$8.DGAGF$10.DGD5$2.2G$3.G30.2G$3G
25.2G5.G$G27.G.G.3G$21.2G7.G.G$21.2G7.2G!
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Re: Synthesis components

Post by mniemiec » October 31st, 2021, 12:49 am

Wyirm wrote:
October 30th, 2021, 9:04 pm
Is ther eany way to insert a bi block 1 block away from another pattern without disturbing it? ...
Both blocks must be added simultaneously. It's messy, but it can be done. From this, it's possible to modify one or both blocks into other things. Similar methods exist for adding 3 blocks. I'm can't remember whether not converters are known to add 4 or more blocks.

Code: Select all

x = 132, y = 26, rule = B3/S23
7boo28boo28boo28boo28boo$8bo29bo29bo22bo6bo8bo20bo$8boboo26boboo26bob
oo17bobo6boboo5bobo18boboo$7booboo25booboo25booboo18boo5booboo5boo18b
ooboo$79bobo$3bo75boo46booboo$4bo38b3o23bo10bo18bo27booboo$bb3o30boob
oo3bo21boobobo24booboboboo$34boboboo4bo19bobobobo15boo6bobobobobobo6b
oo$bo33bo6bo22bo3bo17boo6bo3bo3bo6boo$boo39boo42bo25bo$obo38bobo32boo$
76bobo$71bo4bo12b3o15b3o$71bobo17bo3b3o9bo$71boo17bo6bobboo6bo$62boo
32bobboo$63boo3b3o30bo$10boo50bo5bo$10bobo56bo$10bo3$105bo$104boo$104b
obo!

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Re: Synthesis components

Post by Wyirm » October 31st, 2021, 1:00 am

Thank you

Code: Select all

x = 36, y = 28, rule = TripleLife
17.G$17.3G$20.G$19.2G11$9.EF$8.FG.GD$8.DGAGF$10.DGD5$2.2G$3.G30.2G$3G
25.2G5.G$G27.G.G.3G$21.2G7.G.G$21.2G7.2G!
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Re: Synthesis components

Post by calcyman » October 31st, 2021, 8:06 am

mniemiec wrote:
October 31st, 2021, 12:49 am
Wyirm wrote:
October 30th, 2021, 9:04 pm
Is ther eany way to insert a bi block 1 block away from another pattern without disturbing it? ...
Both blocks must be added simultaneously. It's messy, but it can be done. From this, it's possible to modify one or both blocks into other things. Similar methods exist for adding 3 blocks. I'm can't remember whether not converters are known to add 4 or more blocks.
The easiest way to find this out is to draw a 4x4 array of blocks in Golly:

Code: Select all

x = 11, y = 11, rule = B3/S23
2ob2ob2ob2o$2ob2ob2ob2o2$2ob2ob2ob2o$2ob2ob2ob2o2$2ob2ob2ob2o$2ob2ob2o
b2o2$2ob2ob2ob2o$2ob2ob2ob2o!
and then copy and paste the RLE into https://catagolue.hatsya.com/object and press the Identify button, which takes you straight to:

https://catagolue.hatsya.com/object/xs6 ... 1011/b3s23

and then you can scroll down and see the glider synthesis for this, which constructs a 4x3 array in the first two steps and spends the rest of the synthesis adding another row of 4 blocks.
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Re: Synthesis components

Post by mniemiec » October 31st, 2021, 10:04 am

mniemiec wrote:
October 31st, 2021, 12:49 am
I'm can't remember whether not converters are known to add 4 or more blocks.
calcyman wrote:
October 31st, 2021, 8:06 am
The easiest way to find this out is to draw a 4x4 array of blocks in Golly: ... and then copy and paste the RLE into https://catagolue.hatsya.com/object and press the Identify button, which takes you straight to:
https://catagolue.hatsya.com/object/xs6 ... 1011/b3s23
and then you can scroll down and see the glider synthesis for this, which constructs a 4x3 array in the first two steps and spends the rest of the synthesis adding another row of 4 blocks.
Thanks! One drawback of the method used here is that it works for adding 4 blocks to 4 existing blocks, but unlike the add-2- and add-3-block methods which make no assumptions about the surface being added to, this one requires the surface to actually be blocks which are altered and reform (so something similar but different, e.g. tables) would not work.

MathAndCode
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Re: Synthesis components

Post by MathAndCode » November 2nd, 2021, 11:42 pm

Here is a slow component that adds two cells per glider.

Code: Select all

x = 120, y = 19, rule = B3/S23
9bo49bo49bo$10b2o48b2o48b2o$9b2o4bobo41b2o4bobo41b2o4bobo$obo12b2o33b
obo12b2o33bobo12b2o$b2o13bo34b2o13bo34b2o13bo$bo10bo38bo10bo38bo10bo$
10bobo47bobo47bobo$11b2o48b2o48b2o6$13bo49bo3bo45bo3bo$2b2o5bo2bobob2o
34b2o5bo2bobobobo33b2o5bo2bobobobo$bobo5b4obobobo32bobo5b4obobobo32bo
bo5b4obobo2bo$3bo9bo3b2o34bo9bo3bo35bo9bo3b2o$11bo49bo49bo$11b2o48b2o
48b2o!


Edit: Here are related components.

Code: Select all

x = 142, y = 105, rule = B3/S23
9bo59bo59bo$10b2o58b2o58b2o$9b2o4bobo51b2o4bobo51b2o4bobo$2bo12b2o45b
o12b2o45bo12b2o$obo13bo43bobo13bo43bobo13bo$b2o9bo48b2o9bo48b2o9bo$10b
obo57bobo57bobo$11b2o58b2o58b2o6$13bo59bo3bo55bo3bo$2b2o5bo2bobob2o44b
2o5bo2bobobobo43b2o5bo2bobobobo$3b2o4b4obobobo44b2o4b4obobobo44b2o4b4o
bobo2bo$2bo10bo3b2o43bo10bo3bo44bo10bo3b2o$11bo59bo59bo$11b2o58b2o58b
2o5$2b3o57b3o57b3o$4bo59bo59bo$3bo9b3o47bo9b3o47bo9b3o$13bo59bo59bo$7b
2o5bo52b2o5bo52b2o5bo$6bobo57bobo57bobo$8bo59bo59bo$16b2o58b2o58b2o$15b
2o58b2o58b2o$17bo59bo59bo43$9bo59bo59bo$10b2o58b2o58b2o$9b2o4bobo51b2o
4bobo51b2o4bobo$2bo12b2o45bo12b2o45bo12b2o$obo13bo43bobo13bo43bobo13b
o$b2o9bo48b2o9bo48b2o9bo$10bobo57bobo57bobo$11b2o58b2o58b2o6$13bo59bo
3bo55bo3bo$2b2o5bo2bobob2o44b2o5bo2bobobobo43b2o5bo2bobobobo$3b2o4b4o
bobobo44b2o4b4obobobo44b2o4b4obobo2bo$2bo10bo3b2o43bo10bo3bo44bo10bo3b
2o$11bo59bo59bo$11b2o58b2o58b2o5$2b3o57b3o57b3o$4bo59bo59bo$3bo3bo55b
o3bo55bo3bo$7b2o58b2o58b2o$6bobo11bo45bobo11bo45bobo11bo$19b2o58b2o58b
2o$19bobo57bobo57bobo!
I am tentatively considering myself back.

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Wyirm
Posts: 307
Joined: October 29th, 2021, 6:54 pm
Location: 30.541634, 47.825445 (on the boat)

Re: Synthesis components

Post by Wyirm » November 6th, 2021, 6:36 pm

are there any slow components for beehive with tail that come from two directions and only 2g at a time maximum?

Code: Select all

x = 36, y = 28, rule = TripleLife
17.G$17.3G$20.G$19.2G11$9.EF$8.FG.GD$8.DGAGF$10.DGD5$2.2G$3.G30.2G$3G
25.2G5.G$G27.G.G.3G$21.2G7.G.G$21.2G7.2G!
Bow down to the Herschel

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesis components

Post by MathAndCode » November 6th, 2021, 6:59 pm

Wyirm wrote:
November 6th, 2021, 6:36 pm
are there any slow components for beehive with tail that come from two directions and only 2g at a time maximum?
Just use the two-glider synthesis for a two-glider octomino and a turner.

Code: Select all

x = 13, y = 21, rule = B3/S23
10bobo$10b2o$11bo3$bobo$2b2o$2bo4$2b2o$bobo$bo$2o3$2bo$2b3o4bo$5bo3bo$4b2o3bo!
Octohash probably has a suitable one-glider seed for a two-glider octomino.
I am tentatively considering myself back.

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