Helix Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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PC101
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Helix Thread

Post by PC101 » October 22nd, 2022, 7:01 pm

Post anything helix related in this thread.

Here are some helixes I made while working on the (34,7)c/156 caterpillar (they are all failed attempts.):

Code: Select all

x = 6481, y = 639, rule = B3/S23
49b3o$48bo2bo206b3o$43b2o6bo205bo2bo$44b2o5bo200b2o6bo$43bo4bobo202b2o
5bo$57bo194bo4bobo$42bo13b3o207bo$41b3o12bob2o191bo13b3o$41bob2o12b3o
190b3o12bob2o5168b3o$42b3o12b2o191bob2o12b3o5170bo$42b3o206b3o12b2o
5170bo$42b2o207b3o$251b2o$62bo5301bo$61b3o207bo232b3o4856b3o12bo$61bob
2o205b3o230bo2bo4855b2obo4b3o4b3o$62b3o205bob2o224b2o6bo275b3o4572b3o
2b3o4bo2bo3b2obo4b3o$62b2o207b3o225b2o5bo274bo2bo4574bo3b2o7bo3b3o4bo
2bo$271b2o225bo4bobo270b2o6bo4573bo9bo3bo4b2o7bo57bo$512bo264b2o5bo
4583bo3bo9bo3bo56b3o12bo67bo$497bo13b3o262bo4bobo4588bo9bo3bo6b3o46b2o
bo4b3o4b3o65b3o$21b3o472b3o12bob2o275bo4578bobo14bo5bo2bo41b3o2b3o4bo
2bo3b2obo4b3o57b2obo4b3o92b3o$20bo2bo206b3o263bob2o12b3o260bo13b3o
4591bobo9bo43bo3b2o7bo3b3o4bo2bo52b3o2b3o4bo2bo94bo$23bo205bo2bo264b3o
12b2o260b3o12bob2o4602bo42bo9bo3bo4b2o7bo54bo3b2o7bo93bo6b3o$23bo208bo
264b3o274bob2o12b3o859b3o3737bobo53bo3bo9bo3bo53bo9bo3bo99bo2bo$20bobo
209bo264b2o276b3o12b2o268b3o583b2o4bo2bo3796bo9bo3bo6b3o54bo3bo6b3o93b
o$15bo213bobo543b3o281bo2bo582bobo4bo3796bobo14bo5bo2bo58bo5bo2bo93bo$
14b3o13bo193bo292bo257b2o277b2o6bo584bo4bo3732bo77bobo9bo55bobo9bo90bo
bo$14bob2o11b3o191b3o13bo276b3o536b2o5bo590bobo3728b3o88bo67bo$15b3o
11bob2o190bob2o11b3o275bob2o275bo258bo4bobo301b3o4017b2obo85bobo65bobo
$15b2o13b3o191b3o11bob2o275b3o274b3o271bo293bo2bo4017b3o241bo$30b3o
191b2o13b3o275b2o275bob2o255bo13b3o287b2o6bo4018b2o240b3o$30b2o207b3o
553b3o254b3o12bob2o287b2o5bo4099bo67bo91b2obo$239b2o554b2o255bob2o12b
3o286bo4bobo4099b3o65b3o90b3o$71b3o175b3o801b3o12b2o301bo282bo282b3o
3438b3o82b2obo64b2obo91b2o$71bo2bo173bo2bo28b3o193b3o574b3o300bo13b3o
280b3o275b2o4bo2bo3423b3o5bo4bo2bo82b3o65b3o$71bo179bo28bo2bo191bo2bo
276b3o295b2o300b3o12bob2o278b2obo274bobo4bo3420bo4bo2bo4b3o6bo83b2o66b
2o87b3o$71bo179bo28bo197bo275bo2bo597bob2o12b3o278b3o277bo4bo3419b3o6b
o4bob2o5bo234bo4bo2bo$72bobo173bobo29bo197bo278bo315bo282b3o12b2o280b
2o283bobo3416bob2o5bo5b3o2bobo9b3o222b3o6bo$257bo23bobo191bobo279bo
314b3o281b3o3999b3o2bobo6b3o13bo2bo222bob2o5bo$242bo13b3o211bo283bobo
315bob2o280b2o4000b3o11b3o16bo223b3o2bobo$241b3o12bob2o209b3o13bo263bo
323b3o577bo576b3o3125b3o11b2o17bo223b3o13b3o$241bob2o12b3o209bob2o11b
3o261b3o13bo308b2o301bo275b3o569b2o4bo2bo3124b2o28bobo224b3o12bo2bo$
242b3o12b2o211b3o11bob2o260bob2o11b3o609b3o274bob2o567bobo4bo3121bo
116b3o65b3o75b2o16bo$42b3o197b3o225b2o13b3o261b3o11bob2o608bob2o253bo
20b3o283bo285bo4bo501b3o2616b3o114bo2bo64bo2bo93bo$41bo2bo197b2o241b3o
261b2o13b3o266b3o340b3o252b3o19b2o283b3o290bobo492b2o4bo2bo2615bob2o
116bo67bo90bobo$44bo440b2o277b3o265bo2bo340b2o253bob2o302b2obo538b3o
243bobo4bo2619b3o116bo67bo$44bo217bo232b3o266b2o269bo596b3o302b3o533b
2o4bo2bo244bo4bo2619b2o114bobo65bobo58b3o$41bobo217b3o230bo2bo28b3o
506bo596b2o304b2o532bobo4bo253bobo2861bo2bo$50bo210bob2o232bo28bo2bo
245b3o254bobo301b3o1135bo4bo3117bo$35bo13b3o210b3o232bo28bo247bo2bo
249bo307bo2bo1141bobo3114bo$34b3o12bob2o209b2o230bobo29bo250bo248b3o
13bo295bo599bo293bo3365bobo$34bob2o12b3o450bo23bobo247bo248bob2o11b3o
294bo301b3o294b3o291b3o3357bo$35b3o12b2o436bo13b3o269bobo250b3o11bob2o
290bobo301bo2bo294bob2o289b2obo3356b3o13bo$35b3o449b3o12bob2o277bo243b
2o13b3o285bo311bo295b3o289b3o501bo231b3o2385bo234b2obo12b3o$35b2o184b
3o263bob2o12b3o262bo13b3o24b3o230b3o284b3o13bo296bo295b2o291b2o500b3o
224b2o4bo2bo2383b3o7b3o223b3o12b2obo$220bo2bo264b3o12b2o262b3o12bob2o
23bo2bo229b2o285bob2o11b3o292bobo839bo250b2obo223bobo4bo2386bob2o6bo2b
o4bo5b3o210b2o12b3o$55bo167bo264b3o276bob2o12b3o23bo278b3o239b3o11bob
2o1132b3o249b3o226bo4bo2387b3o6bo6b3o4bo2bo4bo218b3o$54b3o166bo264b2o
278b3o12b2o24bo243b3o31bo2bo239b2o13b3o297b3o583bo247b2obo250b2o232bob
o2384b3o6bo5b2obo4bo6b3o218b2o$54bob2o162bobo545b3o39bobo239bo2bo34bo
254b3o297bo2bo263bo317b3o246b3o2872b2o8bobo2b3o5bo5b2obo$55b3o157bo
292bo259b2o285bo34bo254b2o298bo265b3o316bob2o246b2o1763b3o1121b3o6bobo
2b3o$55b2o157b3o13bo276b3o545bo31bobo555bo265bob2o316b3o499bo1287b3o
215b2o4bo2bo1120b3o11b3o8bo$214bob2o11b3o275bob2o277bo263bobo301b3o
287bobo263b3o316b2o499b3o1280b2o4bo2bo213bobo4bo1124b2o11b3o7b3o$215b
3o11bob2o275b3o276b3o271bo293bo2bo553b2o566bo251bob2o487b3o788bobo4bo
218bo4bo1138b2o6b2obo$215b2o13b3o275b2o277bob2o255bo13b3o295bo1120b3o
251b3o232bo248b2o4bo2bo789bo4bo224bobo1104bo38b3o$14b3o213b3o555b3o
254b3o12bob2o294bo1120bob2o250b2o232b3o246bobo4bo798bobo1327b3o38b2o$
13bo2bo213b2o556b2o255bob2o12b3o22b3o266bobo847bo274b3o483b2obo248bo4b
o336b3o1789bob2o$16bo223b3o803b3o12b2o22bo2bo275bo555b3o281b3o273b2o
484b3o255bobo327b2o4bo2bo1789b3o272b3o$16bo222bo2bo28b3o193b3o576b3o
39bo260bo13b3o281bo271bo2bo281bob2o759b2o584bobo4bo1792b2o272bo2bo$13b
obo226bo28bo2bo191bo2bo278b3o295b2o40bo259b3o12bob2o279b3o273bo282b3o
499bo847bo4bo1823b3o243bo$8bo233bo28bo197bo277bo2bo334bobo260bob2o12b
3o278b2obo273bo282b2o499b3o662b3o187bobo683bo1136bo2bo242bo$7b3o13bo
215bobo29bo197bo280bo315bo282b3o12b2o279b3o271bobo532bo251bob2o257bo
397b2o4bo2bo648bo222b3o1135bo242bobo$7bob2o11b3o223bo23bobo191bobo281b
o314b3o281b3o294b2o805b3o251b3o256b3o395bobo4bo650b3o220b2obo1135bo
978b2o$8b3o11bob2o207bo13b3o211bo285bobo315bob2o280b2o1102bob2o250b2o
257bob2o255bo140bo4bo649b2obo220b3o1137bobo976b2o4bo$8b2o13b3o206b3o
12bob2o209b3o13bo265bo323b3o1144b3o238b3o510b3o254b3o145bobo646b3o222b
2o1372bo742bo5b3o$23b3o206bob2o12b3o209bob2o11b3o263b3o13bo308b2o301bo
276bo565bo2bo238b2o511b2o254b2obo795b2o1595b3o746b2obo$23b2o208b3o12b
2o211b3o11bob2o262bob2o11b3o609b3o274b3o567bo1007b3o336bo1005b3o1047b
2obo746b3o$233b3o225b2o13b3o263b3o11bob2o608bob2o273bob2o566bo499b3o
506b2o335b3o682bo314b3o3bo2bo1047b3o747b3o$64b3o166b2o241b3o263b2o13b
3o266b3o340b3o253bo20b3o281b3o279bobo499bo2bo842b2obo458bo222b3o315bo
6bo1048b2o748b2o$64bo2bo408b2o279b3o265bo2bo340b2o253b3o19b2o14b3o265b
o2bo528b3o252bo223bo618b3o221b3o234b3o221bob2o313bo7bo$64bo188bo232b3o
268b2o269bo595bob2o34bo2bo264bo530bo2bo252bo222b3o281bo148bo187b2o215b
2o4bo2bo233bob2o221b3o318bobo1044b3o$64bo187b3o230bo2bo28b3o508bo596b
3o34bo267bo533bo249bobo223bob2o279b3o146b3o402bobo4bo237b3o221b2o1360b
o4bo2bo$65bobo184bob2o232bo28bo2bo247b3o254bobo301b3o293b2o35bo3bo264b
obo530bo476b3o279bob2o144b2obo404bo4bo237b2o1583b3o6bo750b3o$253b3o
232bo28bo249bo2bo249bo307bo2bo330bo798bobo477b2o281b3o144b3o187bo223bo
bo1819bob2o5bo750bo2bo$253b2o230bobo29bo252bo248b3o13bo295bo331bobo
1558b2o146b2o186b3o2045b3o2bobo751bo$494bo23bobo249bo248bob2o11b3o294b
o319bo571b3o1334bob2o656bo1387b3o13b3o740bo$479bo13b3o271bobo250b3o11b
ob2o290bobo302b3o14b3o570bo2bo1334b3o432bo222b3o348bo1037b3o12bo2bo
732bo8bobo$478b3o12bob2o279bo243b2o13b3o285bo308bo2bo14bob2o569bo725b
3o420bo188b2o432b3o221bob2o346b3o431b3o602b2o16bo731b3o$35b3o174b3o
263bob2o12b3o264bo13b3o24b3o230b3o284b3o13bo296bo15b3o278bo290bo501b3o
220bo2bo246bo172b3o621bob2o221b3o346bob2o423b3o3bo2bo620bo731bob2o$34b
o2bo173bo2bo264b3o12b2o264b3o12bob2o23bo2bo229b2o285bob2o11b3o295bo15b
2o278b3o290bobo498bo2bo222bo245b3o171bob2o411bo209b3o221b2o348b3o425bo
6bo617bobo733b3o$37bo176bo264b3o278bob2o12b3o23bo520b3o11bob2o291bobo
295b2obo538b3o250bo225bo245bob2o171b3o410b3o208b2o572b2o425bo7bo1353b
2o$37bo176bo264b2o280b3o12b2o24bo243b3o274b2o13b3o589b3o539bo2bo249bo
222bobo247b3o171b2o161bo248b2obo1202bo11bobo$34bobo174bobo547b3o39bobo
239bo2bo289b3o297b3o290b2o539bo253bobo469b2o334b3o247b3o1202bob2o$43bo
162bo292bo261b2o285bo289b2o298bo2bo17b3o810bo1061bob2o247b2o441b3o338b
o422bo$28bo13b3o160b3o13bo276b3o547bo589bo19bo2bo811bobo1059b3o466b3o
220bo2bo337b3o417b2o3bo$27b3o12bob2o159bob2o11b3o275bob2o279bo263bobo
301b3o286bo22bo269bo17b3o273bo1120bo188b2o466bo2bo223bo336b2obo416bo5b
o$27bob2o12b3o160b3o11bob2o275b3o278b3o271bo293bo2bo287bobo19bo268b3o
16bo2bo271b3o513b3o463b3o136b3o437bo220bo223bo336b3o417b4obo$28b3o12b
2o161b2o13b3o275b2o279bob2o255bo13b3o295bo306bobo269bob2o15bo273b2obo
513bo2bo461bo2bo136bob2o435b3o219bo220bobo338b2o414b2ob2o2bo13bo$28b3o
190b3o557b3o254b3o12bob2o294bo579b3o15bo3bo269b3o261b3o237bo12bo218b3o
246bo137b3o435bob2o215bobo981bo16b3o$28b2o191b2o558b2o255bob2o12b3o
291bobo580b2o16bo274b2o261bo2bo235b3o11bo218bo2bo245bo137b2o195b3o239b
3o1195bo20bob2o1334bo$231b3o805b3o12b2o301bo592bobo521bo12bo237b2obo
12bobo215bo245bobo334bo2bo239b2o755bo441bobo18b3o1333b3o$48bo181bo2bo
28b3o193b3o578b3o300bo13b3o579bo534b3o11bo237b3o231bo585bo995b3o441bo
19b2o1334bob2o$47b3o183bo28bo2bo191bo2bo280b3o295b2o300b3o12bob2o280bo
296b3o284bo17b3o227b2obo12bobo235b2o10bo221bobo582bo994b2obo1798b3o$
47bob2o182bo28bo197bo279bo2bo597bob2o12b3o279b3o263bo31bob2o282b3o16bo
2bo226b3o262b3o614b3o185bobo995b3o1799b2o$48b3o179bobo29bo197bo282bo
315bo282b3o12b2o279b2obo262b3o31b3o282bob2o15bo230b2o7b3o251b2obo613bo
2bo402bo478b3o300b2o461bo$48b2o189bo23bobo191bobo283bo314b3o281b3o293b
3o263bob2o30b2o284b3o15bo3bo234bo2bo241bo9b3o617bo401b3o253b3o221bo2bo
761b3o$224bo13b3o211bo287bobo315bob2o280b2o295b2o264b3o316b2o16bo241bo
240b3o9b2o235b3o379bo401bob2o252bo2bo220bo763b2obo$223b3o12bob2o209b3o
13bo267bo323b3o843b2o336bobo227bo10bo240bob2o245bo2bo238b3o134bobo403b
3o252bo223bo295bo467b3o1345b3o$223bob2o12b3o209bob2o11b3o265b3o13bo
308b2o301bo868bo240b3o6bobo242b3o232bo12bo241bo2bo539b2o253bo224bobo
291b3o444bo22b2o1344bo2bo$7b3o214b3o12b2o211b3o11bob2o264bob2o11b3o
609b3o275bo306b3o281b3o239bob2o250b2o232b3o11bo241bo798bobo515bob2o
442b3o1370bo$6bo2bo214b3o225b2o13b3o265b3o11bob2o608bob2o273b3o304bo2b
o249bo31bob2o239b3o483b2obo12bobo238bo336b3o978b3o441b2obo1370bo$9bo
214b2o241b3o265b2o13b3o266b3o340b3o273bob2o271b3o32bo248b3o31b3o239b2o
484b3o255bobo333bo2bo977b2o4b3o435b3o640b3o725bobo$9bo457b2o281b3o265b
o2bo340b2o254bo20b3o270bo2bo32bo248bob2o30b2o727b2o591bo213b3o769bo2bo
436b2o639bo2bo$6bobo235bo232b3o270b2o269bo595b3o19b2o14b3o257bo29bobo
250b3o499bo272b3o577bo212bo2bo772bo226bo853bo$bo241b3o230bo2bo28b3o
510bo595bob2o34bo2bo7b3o246bo282b2o499b3o270bo2bo388b3o187bobo212bo
470bo301bo225b3o852bo$3o13bo226bob2o232bo28bo2bo249b3o254bobo301b3o
293b3o34bo9bo2bo243bobo532bo251bob2o257bo14bo388bo2bo401bo246bo222b3o
297bobo226bob2o200bo647bobo$ob2o11b3o226b3o232bo28bo251bo2bo249bo307bo
2bo293b2o35bo3bo8bo570b3o204b3o251b3o256b3o13bo388bo401bobo246b3o220b
2obo729b3o$b3o11bob2o225b2o230bobo29bo254bo248b3o13bo295bo330bo12bo
569bo2bo204bob2o250b2o257bob2o9bobo243bo145bo649b2obo220b3o529b2o199bo
b2o$b2o13b3o466bo23bobo251bo248bob2o11b3o294bo331bobo6bobo538b3o32bo
205b3o510b3o254b3o145bobo646b3o222b2o320b3o204bo2bo200b3o638bo$16b3o
451bo13b3o273bobo250b3o11bob2o290bobo320bo560bo2bo32bo205b2o511b2o254b
2obo14bo780b2o544bo2bo203bo2bo200b2o4b3o631b3o$16b2o451b3o12bob2o281bo
243b2o13b3o285bo309b3o14b3o562bo29bobo975b3o14b3o319bo1005bo198b3o5bob
o206bo2bo630b2obo$203b3o263bob2o12b3o266bo13b3o24b3o230b3o284b3o13bo
293bo2bo14bob2o561bo499b3o506b2o14bob2o317b3o682bo321bo197bo2bo217bo
15b3o612b3o$202bo2bo264b3o12b2o266b3o12bob2o23bo2bo229b2o285bob2o11b3o
295bo15b3o276b3o279bobo499bo2bo523b3o316b2obo14bo443bo19bo202b3o321bob
o197bo217bo15bo2bo612b2o747b3o$205bo264b3o280bob2o12b3o23bo520b3o11bob
2o294bo15b2o277bo2bo528b3o252bo223bo299b3o316b3o14b3o204b3o234b3o17b3o
201bob2o520bo5bo208bobo16bo1364bo2bo$205bo264b2o282b3o12b2o24bo243b3o
274b2o13b3o291bobo295bo530bo2bo252bo222b3o281bo16b2o130bo187b2o14bob2o
203bo2bo233bob2o16bob2o201b3o517bobo5b3o13bo212bo610b3o751bo$202bobo
549b3o39bobo239bo2bo289b3o589bo533bo249bobo223bob2o279b3o146b3o203b3o
203bo237b3o17b3o201b2o525b2obo12b3o212bobo601bo4bo2bo751bo3bo$197bo
292bo263b2o285bo289b2o298b3o290bobo530bo476b3o279bob2o9bo134b2obo14bo
188b2o204bo237b2o18b2o729b3o13bob2o814b3o6bo751bo$196b3o13bo276b3o549b
o589bo2bo17b3o799bobo477b2o281b3o8b3o133b3o14b3o170bo223bobo986b2o14b
3o814bob2o5bo752bobo$196bob2o11b3o275bob2o281bo263bobo301b3o286bo19bo
2bo296b3o1263b2o9bob2o133b2o14bob2o168b3o1007bo219b2o816b3o2bobo$197b
3o11bob2o275b3o280b3o271bo293bo2bo286bo22bo295bo2bo262b3o1010b3o150b3o
168bob2o656bo348b3o1036b3o13b3o$197b2o13b3o275b2o281bob2o255bo13b3o
295bo287bobo19bo298bo262bo2bo1009b2o151b3o169b3o432bo222b3o346b2obo
1036b3o12bo2bo740bo$212b3o559b3o254b3o12bob2o294bo306bobo299bo262bo
725b3o420bo16b2o170b2o432b3o221bob2o65bo279b3o434bo602b2o16bo739b3o$
212b2o560b2o255bob2o12b3o291bobo581bo24bobo263bo501b3o220bo2bo246bo
172b3o621bob2o221b3o66b2o278b2o433b3o619bo739bob2o$222b3o807b3o12b2o
301bo573b3o290bobo498bo2bo222bo245b3o171bob2o8b3o400bo209b3o221b2o66b
2o713b2obo616bobo741b3o$221bo2bo28b3o193b3o580b3o300bo13b3o571b2obo
538b3o250bo225bo245bob2o171b3o8bo2bo398b3o208b2o1005b3o1361b2o$224bo
28bo2bo191bo2bo282b3o295b2o300b3o12bob2o570b3o539bo2bo249bo222bobo247b
3o171b2o9bo151bo48b3o197b2obo14bo766bo220b3o211b2o1351b3o$224bo28bo
197bo281bo2bo597bob2o12b3o280bo290b2o539bo253bobo469b2o183bo150b3o47bo
2bo196b3o14b3o764b3o219bo2bo1562bo2bo$221bobo29bo197bo284bo315bo282b3o
12b2o280b3o830bo911bobo147bob2o46bo200b2o14bob2o423b3o337bob2o218bo
1568bo$230bo23bobo191bobo285bo314b3o281b3o293b2obo831bobo1059b3o46bo
217b3o199b3o220bo2bo338b3o218bo213bo1354bo$215bo13b3o211bo289bobo315bo
b2o280b2o294b3o290bo17b3o273bo1120bo188b2o48bobo214b2o199bo2bo223bo
338b2o220bobo209b3o1350bobo$214b3o12bob2o209b3o13bo269bo323b3o577b2o
289b3o16bo2bo271b3o513b3o463b3o136b3o437bo220bo223bo772bob2o$214bob2o
12b3o209bob2o11b3o267b3o13bo308b2o301bo567bob2o15bo273b2obo513bo2bo
461bo2bo136bob2o435b3o219bo220bobo774b3o$215b3o12b2o211b3o11bob2o266bo
b2o11b3o609b3o567b3o15bo3bo269b3o261b3o237bo12bo218b3o246bo137b3o435bo
b2o215bobo536bo246b3o188bo23b2o$215b3o225b2o13b3o267b3o11bob2o608bob2o
274bo291b2o16bo274b2o261bo2bo235b3o11bo218bo2bo245bo137b2o195b3o239b3o
753b3o244bo2bo187b3o1360bo$215b2o241b3o267b2o13b3o266b3o340b3o273b3o
309bobo521bo12bo237b2obo12bobo215bo245bobo334bo2bo239b2o754bob2o246bo
187bob2o1358b3o$458b2o283b3o265bo2bo340b2o274bob2o296bo534b3o11bo237b
3o231bo585bo996b3o246bo188b3o1358bob2o$235bo232b3o272b2o269bo596bo20b
3o295b3o284bo17b3o227b2obo12bobo235b2o10bo221bobo582bo996b2o221b3o20bo
bo189b2o1360b3o$234b3o230bo2bo28b3o512bo595b3o19b2o14b3o247bo31bob2o
282b3o16bo2bo226b3o262b3o614b3o185bobo1219bo2bo1574b2o$234bob2o232bo
28bo2bo508bobo301b3o292bob2o34bo2bo7b3o235b3o31b3o282bob2o15bo230b2o7b
3o251b2obo613bo2bo402bo478b3o526bo$235b3o232bo28bo506bo307bo2bo293b3o
34bo9bo2bo235bob2o30b2o284b3o15bo3bo234bo2bo241bo9b3o617bo401b3o253b3o
221bo2bo292bo232bo204bo$235b2o230bobo29bo505b3o13bo295bo293b2o35bo3bo
8bo236b3o316b2o16bo241bo240b3o9b2o235b3o379bo401bob2o252bo2bo220bo294b
3o228bobo204b3o$476bo23bobo502bob2o11b3o294bo330bo12bo236b2o336bobo
227bo10bo240bob2o245bo2bo238b3o134bobo403b3o252bo223bo293b2obo434b2obo
1376b3o$461bo13b3o528b3o11bob2o290bobo332bobo6bobo563bo240b3o6bobo242b
3o232bo12bo241bo2bo539b2o253bo224bobo290b3o435b3o1376bo2bo$460b3o12bob
2o527b2o13b3o285bo327bo301b3o281b3o239bob2o250b2o232b3o11bo241bo798bob
o515b2o5b3o214b3o211b2o5b3o1371bo$460bob2o12b3o309b3o230b3o284b3o13bo
294b3o14b3o299bo2bo249bo31bob2o239b3o483b2obo12bobo238bo336b3o984bo2bo
213bo2bo217bo2bo1370bo$461b3o12b2o310bo2bo229b2o285bob2o11b3o292bo2bo
14bob2o266b3o32bo248b3o31b3o239b2o484b3o255bobo333bo2bo983bo216bo220bo
1370bobo$461b3o324bo520b3o11bob2o294bo15b3o265bo2bo32bo248bob2o30b2o
727b2o591bo213b3o770bo216bo7bo212bo$461b2o325bo520b2o13b3o294bo15b2o
269bo29bobo250b3o499bo272b3o577bo212bo2bo771bobo214bobo3b3o13bo198bobo
$789bobo532b3o291bobo287bo282b2o499b3o270bo2bo388b3o187bobo212bo470bo
523bob2o11b3o$481bo842b2o579bobo532bo251bob2o257bo14bo388bo2bo401bo
246bo222b3o523b3o10b2obo$480b3o1141b3o605b3o204b3o251b3o256b3o13bo388b
o401bobo246b3o220b2obo319b3o201b2o11b3o$480bob2o1140bo2bo17b3o583bo2bo
204bob2o250b2o257bob2o9bobo243bo145bo649b2obo220b3o319bo2bo215b2o$481b
3o1140bo19bo2bo551b3o32bo205b3o510b3o254b3o145bobo646b3o222b2o322bo$
481b2o1141bo22bo550bo2bo32bo205b2o511b2o254b2obo14bo568b3o209b2o546bo$
1625bobo19bo553bo29bobo975b3o14b3o319bo246bo2bo754bobo$1644bobo554bo
499b3o506b2o14bob2o317b3o248bo433bo$1916b3o279bobo499bo2bo523b3o316b2o
bo14bo233bo209bo19bo202b3o$244b3o1669bo2bo528b3o252bo223bo299b3o316b3o
14b3o204b3o22bobo209b3o17b3o201bob2o$244bo2bo1668bo530bo2bo252bo222b3o
281bo16b2o130bo187b2o14bob2o203bo2bo233bob2o16bob2o201b3o538b3o$244bo
1671bo533bo249bobo223bob2o279b3o146b3o203b3o203bo237b3o17b3o201b2o538b
o2bo$244bo1381bo290bobo530bo476b3o279bob2o9bo134b2obo203b2o204bo237b2o
18b2o526bo218bo$245bobo1377b3o819bobo477b2o281b3o8b3o133b3o187bo223bob
o781b3o217bo$1624b2obo316b3o1263b2o9bob2o133b2o186b3o1006bob2o213bobo$
1624b3o316bo2bo262b3o1010b3o321bob2o656bo349b3o$1625b2o319bo262bo2bo
1009b2o323b3o432bo222b3o348b2o$1946bo262bo725b3o420bo188b2o432b3o221bo
b2o563b3o$1918bo24bobo263bo501b3o220bo2bo246bo172b3o621bob2o221b3o563b
o2bo190bo$1625bo291b3o290bobo498bo2bo222bo245b3o171bob2o411bo209b3o
221b2o347bo216bo192b3o$1624b3o289b2obo538b3o250bo225bo245bob2o171b3o
410b3o208b2o570b3o215bo191b2obo$1624bob2o288b3o539bo2bo249bo222bobo
247b3o171b2o161bo48b3o197b2obo779b2obo191b3o22bobo188b3o$490b3o1111bo
20b3o289b2o539bo253bobo469b2o334b3o47bo2bo196b3o780b3o192bo2bo213b2o$
490bo2bo1109b3o19b2o14b3o814bo1061bob2o46bo200b2o441b3o337b2o192bo$
490bo1112bob2o34bo2bo7b3o804bobo1059b3o46bo419b3o220bo2bo531bo$490bo
1113b3o34bo9bo2bo262bo17b3o273bo1120bo188b2o48bobo415bo2bo223bo532bobo
206bo$491bobo1110b2o35bo3bo8bo261b3o16bo2bo271b3o979b3o136b3o437bo220b
o223bo311bo428b3o$1641bo12bo261bob2o15bo273b2obo978bo2bo136bob2o435b3o
219bo220bobo311b3o427bob2o$1642bobo6bobo263b3o15bo3bo269b3o501bo231b3o
246bo137b3o435bob2o215bobo534b2obo210b3o215b3o$1630bo286b2o16bo274b2o
500b3o230bo2bo245bo137b2o195b3o239b3o752b3o210bo2bo215b2o4b3o1361bo$
1612b3o14b3o304bobo521bo250b2obo230bo245bobo334bo2bo239b2o754b2o213bo
220bo2bo1360b3o$1611bo2bo14bob2o291bo534b3o249b3o231bo585bo1210bo5bo
217bo1360bob2o$1614bo15b3o290b3o284bo17b3o227b2obo250b2o232bobo582bo
1207bobo5b3o13bo202bo1361b3o$1614bo15b2o259bo31bob2o282b3o16bo2bo226b
3o879b3o185bobo989bo225b2obo12b3o198bobo1362b2o$1611bobo276b3o31b3o
282bob2o15bo230b2o878bo2bo402bo478b3o292b3o224b3o13bob2o$1890bob2o30b
2o284b3o15bo3bo479bo629bo401b3o253b3o221bo2bo291bob2o224b2o14b3o$1891b
3o316b2o16bo482b3o246b3o379bo401bob2o252bo2bo220bo295b3o240b2o$1638b3o
250b2o336bobo227bo251bob2o245bo2bo238b3o134bobo403b3o252bo223bo295b2o
4b3o1807b3o$1637bo2bo576bo240b3o251b3o232bo12bo241bo2bo539b2o253bo224b
obo297bo2bo1806bo2bo$1640bo291b3o281b3o239bob2o250b2o232b3o11bo241bo
798bobo524bo1809bo$1640bo290bo2bo249bo31bob2o239b3o483b2obo12bobo238bo
336b3o986bo1809bo$1637bobo259b3o32bo248b3o31b3o239b2o484b3o255bobo333b
o2bo982bobo1807bobo$1898bo2bo32bo248bob2o30b2o727b2o591bo213b3o$1901bo
29bobo250b3o499bo272b3o577bo212bo2bo1007b3o$1901bo282b2o499b3o270bo2bo
388b3o187bobo212bo470bo536bo2bo$1898bobo532bo251bob2o257bo14bo388bo2bo
401bo246bo222b3o535bo$2225b3o204b3o251b3o256b3o13bo388bo401bobo246b3o
220b2obo535bo$2224bo2bo204bob2o250b2o257bob2o9bobo243bo145bo649b2obo
220b3o537bobo$2192b3o32bo205b3o510b3o254b3o145bobo646b3o222b2o$2191bo
2bo32bo205b2o511b2o254b2obo14bo780b2o$2194bo29bobo975b3o14b3o319bo
1220b3o$2194bo499b3o506b2o14bob2o317b3o682bo535bo2bo$1909b3o279bobo
499bo2bo523b3o316b2obo14bo443bo19bo202b3o537bo$1909bo2bo528b3o252bo
223bo299b3o316b3o14b3o204b3o234b3o17b3o201bob2o536bo$1909bo530bo2bo
252bo222b3o281bo16b2o130bo187b2o14bob2o203bo2bo233bob2o16bob2o201b3o
533bobo$1909bo533bo249bobo223bob2o279b3o146b3o203b3o203bo237b3o17b3o
201b2o$1910bobo530bo476b3o279bob2o9bo134b2obo203b2o204bo237b2o18b2o$
2440bobo477b2o281b3o8b3o133b3o187bo223bobo$1937b3o1263b2o9bob2o133b2o
186b3o$1936bo2bo262b3o1010b3o321bob2o656bo$1939bo262bo2bo1009b2o323b3o
432bo222b3o$1939bo262bo725b3o420bo188b2o432b3o221bob2o$1911bo24bobo
263bo724bo2bo246bo172b3o621bob2o221b3o$1910b3o290bobo724bo245b3o171bob
2o411bo209b3o221b2o$1909b2obo1017bo245bob2o171b3o410b3o208b2o$1909b3o
1015bobo247b3o171b2o161bo48b3o197b2obo$1910b2o1265b2o334b3o47bo2bo196b
3o$3513bob2o46bo200b2o441b3o124bo$3514b3o46bo419b3o220bo2bo125b2o$
1910bo17b3o273bo1120bo188b2o48bobo415bo2bo223bo124b2o$1909b3o16bo2bo
271b3o979b3o136b3o437bo220bo223bo$1909bob2o15bo273b2obo978bo2bo136bob
2o435b3o219bo220bobo$1910b3o15bo3bo269b3o982bo137b3o435bob2o215bobo$
1910b2o16bo274b2o982bo137b2o195b3o239b3o2554bo$1929bobo1252bobo334bo2b
o239b2o2554b3o$1917bo1606bo2795bob2o$1916b3o284bo17b3o1300bo2796b3o$
1916bob2o282b3o16bo2bo1108b3o185bobo2797b2o$1917b3o282bob2o15bo1110bo
2bo402bo$1917b2o284b3o15bo3bo1109bo401b3o253b3o$2203b2o16bo1113bo401bo
b2o252bo2bo$2222bobo1107bobo403b3o252bo2335b3o$2210bo1527b2o253bo2334b
o2bo$1925b3o281b3o1782bobo2334bo$1924bo2bo281bob2o4118bo$1927bo282b3o
4115bobo$1927bo282b2o1534b3o$1924bobo1818bo2bo$3748bo$3748bo246bo$
2218b3o1524bobo246b3o$2217bo2bo1772b2obo$2220bo1772b3o$2220bo1773b2o$
2217bobo2$3994bo19bo$3993b3o17b3o$3993bob2o16bob2o$3994b3o17b3o$3994b
2o18b2o53$5960b3o$5962bo$5961bo6b3o$5967bo2bo$5615b3o352bo$5617bo352bo
$5616bo6b3o341bobo$5622bo2bo$5625bo$5353b3o269bo334bo$5355bo266bobo
334b3o$5354bo6b3o594b2obo$5360bo2bo594b3o$5363bo251bo343b2o$5363bo250b
3o$5360bobo250b2obo$5613b3o$5614b2o336b3o$5353bo592bo4bo2bo$5352b3o
254b3o333b3o6bo$5351b2obo248bo4bo2bo333bob2o5bo9b3o$5351b3o248b3o6bo
334b3o2bobo9bo2bo$5352b2o248bob2o5bo334b3o17bo$5603b3o2bobo335b3o17bo$
5347b3o253b3o13b3o324b2o15bobo$5341bo4bo2bo253b3o12bo2bo310b3o$5340b3o
6bo240b3o10b2o16bo310bo2bo$5340bob2o5bo240bo2bo27bo310bo$5341b3o2bobo
241bo27bobo311bo$5341b3o13b3o230bo342bobo$5341b3o12bo2bo231bobo$5341b
2o16bo580bo$5359bo238bo340b3o$5356bobo238b3o338b2obo$5596b2obo338b3o$
5596b3o340b2o$475b3o5119b2o$474bo2bo4856b3o$469b2o6bo4855bo2bo$470b2o
5bo4858bo$469bo4bobo4855bo3bo$220b3o260bo4852bo$219bo2bo245bo13b3o
4848bobo$214b2o6bo244b3o12bob2o$215b2o5bo244bob2o12b3o$214bo4bobo246b
3o12b2o5456bo$228bo239b3o5128bo340b3o18b3o$213bo13b3o238b2o4866b3o259b
3o338b2obo17bo2bo$212b3o12bob2o5104bo2bo258b2obo338b3o21bo$212bob2o12b
3o257bo4849bo258b3o340b2o21bo$213b3o12b2o257b3o4844bo3bo259b2o16b3o
341bobo$213b3o271bob2o4847bo276bo2bo$213b2o273b3o4844bobo280bo830bo$
488b2o5128bo334bo494b3o12bo$233bo5381bobo334b3o391bo100b2obo4b3o4b3o$
232b3o5119b3o594b2obo390b3o12bo81b3o2b3o4bo2bo3b2obo4b3o$232bob2o5117b
o2bo594b3o390b2obo4b3o4b3o82bo3b2o7bo3b3o4bo2bo$233b3o211b3o4906bo251b
o343b2o385b3o2b3o4bo2bo3b2obo4b3o74bo9bo3bo4b2o7bo$233b2o211bo2bo4906b
o250b3o731bo3b2o7bo3b3o4bo2bo84bo3bo9bo3bo$449bo4903bobo250b2obo337b3o
390bo9bo3bo4b2o7bo88bo9bo3bo6b3o$449bo5156b3o332bo4bo2bo400bo3bo9bo3bo
85bobo14bo5bo2bo$446bobo5158b2o331b3o6bo278b2o124bo9bo3bo6b3o90bobo9bo
$192b3o246bo4904bo593bob2o5bo277b2o122bobo14bo5bo2bo102bo$191bo2bo245b
3o13bo4888b3o254b3o336b3o2bobo280bo135bobo9bo99bobo$194bo245bob2o11b3o
4886b2obo248bo4bo2bo336b3o13b3o156b2o259bo$194bo246b3o11bob2o4885b3o
248b3o6bo336b3o12bo2bo155b2o257bobo$191bobo247b2o13b3o4886b2o248bob2o
5bo336b2o16bo157bo352bo$186bo269b3o5137b3o2bobo355bo253b3o253b3o$185b
3o13bo254b2o4882b3o253b3o13b3o341bobo240b3o5bo4bo2bo151bo100b2obo$185b
ob2o11b3o263b3o4865bo4bo2bo253b3o12bo2bo578bo4bo2bo4b3o6bo150b3o99b3o$
186b3o11bob2o261bo2bo4864b3o6bo253b2o16bo486b3o88b3o6bo4bob2o5bo149b2o
bo100b2o$186b2o13b3o264bo4864bob2o5bo271bo472b3o5bo4bo2bo88bob2o5bo5b
3o2bobo150b3o$201b3o264bo4865b3o2bobo269bobo467bo4bo2bo4b3o6bo89b3o2bo
bo6b3o156b2o$201b2o262bobo4866b3o13b3o727b3o6bo4bob2o5bo89b3o11b3o253b
3o$211b3o260bo4859b3o12bo2bo727bob2o5bo5b3o2bobo90b3o11b2o248bo4bo2bo$
210bo2bo245bo13b3o4858b2o16bo728b3o2bobo6b3o95b2o165b3o93b3o6bo$213bo
244b3o12bob2o4875bo728b3o11b3o89bo158b3o5bo4bo2bo93bob2o5bo$213bo244bo
b2o12b3o4872bobo729b3o11b2o89b3o151bo4bo2bo4b3o6bo94b3o2bobo9b3o$210bo
bo246b3o12b2o5605b2o103bob2o149b3o6bo4bob2o5bo94b3o13bo2bo$219bo239b3o
5613bo111b3o136b3o10bob2o5bo5b3o2bobo9b3o83b3o16bo$204bo13b3o238b2o
5613b3o110b2o137bo2bo10b3o2bobo6b3o13bo2bo83b2o17bo$203b3o12bob2o5852b
ob2o248bo13b3o11b3o16bo69b3o27bobo$203bob2o12b3o257bo5595b3o248bo13b3o
11b2o17bo69bo2bo$204b3o12b2o257b3o5594b2o250bobo10b2o28bobo70bo$204b3o
271bob2o5961bo$204b2o273b3o5852bo109bobo$479b2o5852b3o$224bo5964bo142b
2obo115bo$223b3o5962b3o141b3o115b3o$223bob2o5961bob2o141b2o114b2obo$
224b3o211b3o5513b3o120bo111b3o257b3o$224b2o211bo2bo5512bo2bo119b3o7b3o
100b3o258b2o$440bo5515bo119bob2o6bo2bo4bo5b3o86b2o$440bo5515bo120b3o6b
o6b3o4bo2bo4bo$437bobo5169b3o341bobo121b3o6bo5b2obo4bo6b3o$183b3o246bo
5175bo2bo465b2o8bobo2b3o5bo5b2obo$182bo2bo245b3o13bo5163bo480b3o6bobo
2b3o$185bo245bob2o11b3o5162bo334bo145b3o11b3o8bo70bo$185bo246b3o11bob
2o5158bobo334b3o145b2o11b3o7b3o68b3o$182bobo247b2o13b3o4897b3o594b2obo
159b2o6b2obo68bob2o144bo$177bo269b3o4896bo2bo594b3o129bo38b3o70b3o143b
3o$176b3o13bo254b2o4900bo251bo343b2o128b3o38b2o70b2o143b2obo83b2o30bo$
176bob2o11b3o263b3o4889bo250b3o472bob2o254b3o83b2o30b3o17b3o$177b3o11b
ob2o261bo2bo4886bobo250b2obo337b3o133b3o238b2o15b2o85bo28b2obo16bo2bo$
177b2o13b3o264bo5139b3o332bo4bo2bo133b2o238b2o91b3o38b3o20bo$192b3o
264bo5140b2o331b3o6bo164b3o208bo49b3o38bo2bo38b2o20bo$192b2o262bobo
4880bo593bob2o5bo164bo2bo195b3o58bo2bo38bo60bobo$202b3o260bo4872b3o
254b3o336b3o2bobo165bo198bo2bo60bo38bo$201bo2bo245bo13b3o4870b2obo248b
o4bo2bo336b3o13b3o154bo198bo63bo39bobo$204bo244b3o12bob2o4869b3o248b3o
6bo336b3o12bo2bo155bobo195bo60bobo93bo$204bo244bob2o12b3o4870b2o248bob
2o5bo336b2o16bo354bobo107bo44b3o$201bobo246b3o12b2o5122b3o2bobo355bo
463b3o42b2obo$210bo239b3o4880b3o253b3o13b3o341bobo362bo45bo54b2obo42b
3o$195bo13b3o238b2o4875bo4bo2bo253b3o12bo2bo705b3o43b3o53b3o44b2o$194b
3o12bob2o5113b3o6bo253b2o16bo704b2obo42b2obo54b2o$194bob2o12b3o257bo
4855bob2o5bo271bo704b3o43b3o$195b3o12b2o257b3o4855b3o2bobo269bobo706b
2o44b2o$195b3o271bob2o4854b3o13b3o$195b2o273b3o4854b3o12bo2bo$470b2o
4855b2o16bo$215bo5129bo1121b3o$214b3o5125bobo1121bo2bo$214bob2o6251bo$
215b3o211b3o5932b3o102bo$215b2o211bo2bo5931bo2bo51bo47bobo$431bo5934bo
50b3o$431bo5883bo50bo49b2obo$428bobo5883b3o46bobo50b3o$174b3o246bo
5889b2obo100b2o$173bo2bo245b3o13bo5874b3o$176bo245bob2o11b3o5874b2o$
176bo246b3o11bob2o$173bobo247b2o13b3o$168bo269b3o$167b3o13bo254b2o$
167bob2o11b3o263b3o$168b3o11bob2o261bo2bo$168b2o13b3o264bo$183b3o264bo
$183b2o262bobo$193b3o260bo$192bo2bo245bo13b3o$195bo244b3o12bob2o$195bo
244bob2o12b3o$192bobo246b3o12b2o$201bo239b3o$186bo13b3o238b2o$185b3o
12bob2o$185bob2o12b3o257bo$186b3o12b2o257b3o$186b3o271bob2o$186b2o273b
3o1694b3o$461b2o1689b2o4bo2bo$206bo1944bobo4bo$205b3o1945bo4bo$205bob
2o1950bobo$206b3o211b3o$206b2o211bo2bo$422bo$422bo$419bobo$165b3o246bo
1745bo$164bo2bo245b3o13bo1729b3o$167bo245bob2o11b3o1727b2obo$167bo246b
3o11bob2o1726b3o$164bobo247b2o13b3o1727b2o$159bo269b3o$158b3o13bo254b
2o$158bob2o11b3o263b3o1717bo$159b3o11bob2o261bo2bo1716b3o$159b2o13b3o
264bo1716bob2o$174b3o264bo1696bo20b3o$174b2o262bobo1696b3o19b2o$184b3o
260bo1689bob2o$183bo2bo245bo13b3o1689b3o$186bo244b3o12bob2o1688b2o$
186bo244bob2o12b3o$183bobo246b3o12b2o$192bo239b3o$177bo13b3o238b2o
1712b3o$176b3o12bob2o1950bo2bo$176bob2o12b3o257bo1695bo$177b3o12b2o
257b3o1694bo$177b3o271bob2o1690bobo$177b2o273b3o$452b2o1697b3o$197bo
1953bo2bo$196b3o1952bo$196bob2o1951bo$197b3o1952bobo$197b2o5$2153bo$
2152b3o$2151b2obo$2151b3o$2152b2o3$2152bo$2151b3o$2151bob2o$2131bo20b
3o$2130b3o19b2o$2130bob2o$2131b3o$2131b2o4$2139b3o$2138bo2bo$2141bo
3471b3o$2141bo3473bo$2138bobo3473bo6b3o$5620bo2bo$2144b3o3476bo$2144bo
2bo3475bo$2144bo3475bobo$2144bo$2145bobo$5613bo$5612b3o$5611b2obo$
5611b3o$5612b2o$2146bo$2145b3o3459b3o$2144b2obo3445b3o5bo4bo2bo$2144b
3o3440bo4bo2bo4b3o6bo$2145b2o3439b3o6bo4bob2o5bo$5586bob2o5bo5b3o2bobo
$5587b3o2bobo6b3o13b3o$2145bo3441b3o11b3o12bo2bo$2144b3o3440b3o11b2o
16bo$2144bob2o3426b3o10b2o30bo$2124bo20b3o3426bo2bo38bobo$2123b3o19b2o
3427bo$2123bob2o3447bo$2124b3o3448bobo$2124b2o$5582bo$5581b3o$5580b2ob
o$2132b3o3445b3o$2131bo2bo3446b2o$2134bo$2134bo$2131bobo2$2137b3o$
2137bo2bo$2137bo$2137bo$2138bobo$5583bo$5582b3o$5581b2obo$5581b3o30b3o
$5582b2o29bo2bo$2139bo3476bo$2138b3o3475bo$2137b2obo3472bobo$2137b3o$
2138b2o$5606bo$5605b3o$2138bo3465b2obo$2137b3o3464b3o$2137bob2o3464b2o
$2117bo20b3o$2116b3o19b2o3460b3o$2116bob2o3466b3o5bo4bo2bo$2117b3o
3460bo4bo2bo4b3o6bo$2117b2o3460b3o6bo4bob2o5bo$5579bob2o5bo5b3o2bobo$
5580b3o2bobo6b3o13b3o$5580b3o11b3o12bo2bo$2125b3o3452b3o11b2o16bo$
2124bo2bo3452b2o30bo$2127bo3481bobo$2127bo$2124bobo2$2130b3o$2130bo2bo
$2130bo$2130bo$2131bobo6$2132bo$2131b3o$2130b2obo$2130b3o$2131b2o3$
2131bo$2130b3o3474b3o$2130bob2o3472bo2bo$2110bo20b3o3475bo$2109b3o19b
2o3476bo$2109bob2o3493bobo$2110b3o$2110b2o$5599bo$5598b3o$5597b2obo$
2118b3o3476b3o$2117bo2bo3477b2o$2120bo$2120bo3472b3o$2117bobo3459b3o5b
o4bo2bo$5573bo4bo2bo4b3o6bo$5572b3o6bo4bob2o5bo$5572bob2o5bo5b3o2bobo$
5573b3o2bobo6b3o13b3o$5573b3o11b3o12bo2bo$5573b3o11b2o16bo$5573b2o30bo
$5602bobo!
And here are a couple of helixes from known caterpillars:

Code: Select all

x = 619, y = 496, rule = B3/S23
85bo$84b3o$83b2obo2$83b2o$83bo2bo$83bo2bo$84bobo5b3o$92bo2bo$92bo$86bo
5bo$71bo13b3o5bobo$70b3o12bob2o$69b2obo13b3o$69b3o14b2o465b3o$70b2o
475b2o4bo2bo4bo5b3o$543bob2obo4bo6b3o4bo2bo4bo5b3o$542bobob2o5bo5b2obo
4bo6b3o4bo2bo4bo$542bobob5o3bobo2b3o5bo5b2obo4bo6b3o5b3o$543b5o11b3o6b
obo2b3o5bo5b2obo5bo2bo4bo$535b3o9bo11b3o11b3o6bobo2b3o6bo6b3o$534bo2bo
10bobo9b2o11b3o11b3o6bo5b2obo$69b3o465bo36b2o11b3o7bobo2b3o$68bo2bo
461bo3bo50b2o12b3o$71bo461bo3bo64b3o$54bobo14bo465bo65b2o$49b2o3bo2bo
10bobo463bobo$48b3o$47bo$49bo6bo13b3o$53bo2bo13bo2bo541b3o$48b2o2bo2bo
14bo529bo13bo2bo$48b2obo3bo14bo515bo12b3o4b3o8bo$50bo3bo16bobo20b3o
475bo12b3o4b3o4bob2o3bo2bo7bo$50bo2bo40bo2bo460bo12b3o4b3o4bob2o3bo2bo
4b3o3bo7bobo$94bo462b3o4b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo$94bo455b3o4bo
b2o3bo2bo4b3o3bo7b2o4bo3bo9bo3bo$95bobo452bo2bo4b3o3bo7b2o4bo3bo9bo3bo
9bo$550bo7b2o4bo3bo9bo3bo9bo14bobo$58bo491bo3bo9bo3bo9bo14bobo$56b2o
44b3o445bo3bo9bo14bobo$57b2o42bo2bo445bo14bobo$104bo426bo11b3o5bobo$
96bo7bo425b3o9bo2bo$63bo17bo13b3o3bobo425b2obo12bo$62b3o15b3o11b2obo
431b3o9bo3bo$62bob2o14bob2o10b3o432b3o13bo$63b3o15b3o11b2o433b2o10bobo
8b3o$63b3o15b2o469bo2bo5bo5b3o$63b2o490bo4b3o3bo2bo5bo5b3o$547b3o5bo4b
ob2o5bo4b3o3bo2bo5bo$517bo28bo2bo2bobo6b3o5bo4bob2o5bo4b3o5b3o$516b3o
30bo11b3o2bobo6b3o5bo4bob2o3bo2bo5bo$516bob2o15b3o11bo11b3o11b3o2bobo
6b3o6bo4b3o$517b3o15bo2bo7bobo12b2o12b3o11b3o6bo4bob2o$79b3o435b3o15bo
39b2o12b3o3bobo6b3o$79bo2bo434b2o16bo3bo49b2o13b3o$79bo455bo3bo64b3o$
79bo455bo68b2o$72b3o5bobo453bobo$71bo2bo$74bo$74bo5b3o390b3o$71bobo5bo
2bo390bo141b3o$82bo391bo125bo14bo2bo$82bo503bo12b3o4b3o6bo$79bobo22b3o
465bo12b3o4b3o3b2obo3bo2bo6bo$103bo2bo451bo12b3o4b3o3b2obo3bo2bo3b3o7b
o7bobo$106bo450b3o4b3o3b2obo3bo2bo3b3o7bo4b2o3bo3bo$106bo443b3o3b2obo
3bo2bo3b3o7bo4b2o3bo3bo9bo3bo$103bobo443bo2bo3b3o7bo4b2o3bo3bo9bo3bo
13bo$552bo4b2o3bo3bo9bo3bo13bo10bobo$548bo3bo9bo3bo13bo10bobo$112b3o
433bo3bo13bo10bobo$112bo2bo436bo10bobo$112bo418bo11b3o3bobo$106bo5bo
417b3o10bo2bo$73bo17bo13b3o5bobo414bob2o9bo$72b3o15b3o12bob2o422b3o9bo
3bo$34b2o35b2obo14b2obo13b3o422b3o9bo$34bob2o33b3o15b3o14b2o423b2o11bo
bo6b3o$36b2o33b3o16b2o461bo2bo4bo5b3o$36b2o34b2o479bo6b3o4bo2bo4bo5b3o
$33b2o512b3o3bo5b2obo4bo6b3o4bo2bo4bo$517bo29bo2bo3bobo2b3o5bo5b2obo4b
o6b3o5b3o$36b2o478b3o28bo11b3o6bobo2b3o5bo5b2obo5bo2bo4bo$515b2obo16b
3o9bo11b3o11b3o6bobo2b3o6bo6b3o$515b3o16bo2bo10bobo9b2o11b3o11b3o6bo5b
2obo$89b3o423b3o19bo36b2o11b3o7bobo2b3o$88bo2bo424b2o15bo3bo50b2o12b3o
$91bo441bo3bo64b3o$26bo64bo445bo65b2o$25bo56b3o3bobo443bobo$25b3o54bo
2bo$82bo$82bo7b3o$83bobo4bo2bo312b2o207b3o$90bo315bobo191bo13bo2bo$90b
o315bo179bo12b3o4b3o8bo$91bobo20b3o455bo12b3o4b3o4bob2o3bo2bo7bo$114bo
2bo440bo12b3o4b3o4bob2o3bo2bo4b3o3bo7bobo$114bo442b3o4b3o4bob2o3bo2bo
4b3o3bo7b2o4bo3bo$114bo435b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo9bo3bo$115bo
bo432bo2bo4b3o3bo7b2o4bo3bo9bo3bo9bo$550bo7b2o4bo3bo9bo3bo9bo14bobo$
550bo3bo9bo3bo9bo14bobo$122b3o425bo3bo9bo14bobo$121bo2bo425bo14bobo$
124bo406bo11b3o5bobo$116bo7bo405b3o9bo2bo$83bo17bo13b3o3bobo405b2obo
12bo$82b3o15b3o11b2obo411b3o9bo3bo$82bob2o14bob2o10b3o412b3o13bo$83b3o
15b3o11b2o413b2o10bobo8b3o$83b3o15b2o449bo2bo5bo5b3o$83b2o470bo4b3o3bo
2bo5bo5b3o$547b3o5bo4bob2o5bo4b3o3bo2bo5bo$41bo475bo28bo2bo2bobo6b3o5b
o4bob2o5bo4b3o5b3o$40bobo473b3o30bo11b3o2bobo6b3o5bo4bob2o3bo2bo5bo$
40bobo473bob2o15b3o11bo11b3o11b3o2bobo6b3o6bo4b3o$41bo475b3o15bo2bo7bo
bo12b2o12b3o11b3o6bo4bob2o$99b3o415b3o15bo39b2o12b3o3bobo6b3o$47bo51bo
2bo414b2o16bo3bo49b2o13b3o$46b3o50bo435bo3bo64b3o$45b2obo50bo435bo68b
2o$45b3o44b3o5bobo433bobo$46b2o43bo2bo$94bo$94bo5b3o$91bobo5bo2bo512b
3o$102bo497bo14bo2bo$102bo235b3o245bo12b3o4b3o6bo$99bobo22b3o211bo233b
o12b3o4b3o3b2obo3bo2bo6bo$123bo2bo212bo218bo12b3o4b3o3b2obo3bo2bo3b3o
7bo7bobo$2bo123bo430b3o4b3o3b2obo3bo2bo3b3o7bo4b2o3bo3bo$2o124bo423b3o
3b2obo3bo2bo3b3o7bo4b2o3bo3bo9bo3bo$b2o120bobo423bo2bo3b3o7bo4b2o3bo3b
o9bo3bo13bo$552bo4b2o3bo3bo9bo3bo13bo10bobo$548bo3bo9bo3bo13bo10bobo$
51b3o78b3o413bo3bo13bo10bobo$50bo2bo78bo2bo416bo10bobo$53bo78bo398bo
11b3o3bobo$53bo72bo5bo397b3o10bo2bo$50bobo40bo17bo13b3o5bobo345bo48bob
2o9bo$92b3o15b3o12bob2o350b2o50b3o9bo3bo$91b2obo14b2obo13b3o351b2o49b
3o9bo$91b3o15b3o14b2o403b2o11bobo6b3o$91b3o16b2o441bo2bo4bo5b3o$92b2o
459bo6b3o4bo2bo4bo5b3o$547b3o3bo5b2obo4bo6b3o4bo2bo4bo$517bo29bo2bo3bo
bo2b3o5bo5b2obo4bo6b3o5b3o$516b3o28bo11b3o6bobo2b3o5bo5b2obo5bo2bo4bo$
515b2obo16b3o9bo11b3o11b3o6bobo2b3o6bo6b3o$515b3o16bo2bo10bobo9b2o11b
3o11b3o6bo5b2obo$109b3o403b3o19bo36b2o11b3o7bobo2b3o$57bo50bo2bo404b2o
15bo3bo50b2o12b3o$56b3o52bo421bo3bo64b3o$56bob2o51bo425bo65b2o$57b3o
42b3o3bobo423bobo$57b2o43bo2bo$102bo$102bo7b3o$103bobo4bo2bo501b3o$
110bo489bo13bo2bo$110bo475bo12b3o4b3o8bo$111bobo20b3o435bo12b3o4b3o4bo
b2o3bo2bo7bo$134bo2bo420bo12b3o4b3o4bob2o3bo2bo4b3o3bo7bobo$134bo422b
3o4b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo$134bo415b3o4bob2o3bo2bo4b3o3bo7b2o
4bo3bo9bo3bo$135bobo412bo2bo4b3o3bo7b2o4bo3bo9bo3bo9bo$550bo7b2o4bo3bo
9bo3bo9bo14bobo$550bo3bo9bo3bo9bo14bobo$61b3o78b3o405bo3bo9bo14bobo$
61bo2bo76bo2bo405bo14bobo$61bo82bo386bo11b3o5bobo$61bo74bo7bo385b3o9bo
2bo$62bobo38bo17bo13b3o3bobo385b2obo12bo$102b3o15b3o11b2obo391b3o9bo3b
o$102bob2o14bob2o10b3o392b3o13bo$103b3o15b3o11b2o393b2o10bobo8b3o$103b
3o15b2o429bo2bo5bo5b3o$103b2o450bo4b3o3bo2bo5bo5b3o$547b3o5bo4bob2o5bo
4b3o3bo2bo5bo$517bo28bo2bo2bobo6b3o5bo4bob2o5bo4b3o5b3o$516b3o30bo11b
3o2bobo6b3o5bo4bob2o3bo2bo5bo$516bob2o15b3o11bo11b3o11b3o2bobo6b3o6bo
4b3o$517b3o15bo2bo7bobo12b2o12b3o11b3o6bo4bob2o$119b3o395b3o15bo39b2o
12b3o3bobo6b3o$67bo51bo2bo394b2o16bo3bo49b2o13b3o$66b3o50bo415bo3bo64b
3o$65b2obo50bo415bo68b2o$65b3o44b3o5bobo413bobo$66b2o43bo2bo$114bo$
114bo5b3o$111bobo5bo2bo492b3o$122bo477bo14bo2bo$122bo463bo12b3o4b3o6bo
$119bobo22b3o425bo12b3o4b3o3b2obo3bo2bo6bo$143bo2bo411bo12b3o4b3o3b2ob
o3bo2bo3b3o7bo7bobo$146bo410b3o4b3o3b2obo3bo2bo3b3o7bo4b2o3bo3bo$146bo
403b3o3b2obo3bo2bo3b3o7bo4b2o3bo3bo9bo3bo$143bobo403bo2bo3b3o7bo4b2o3b
o3bo9bo3bo13bo$552bo4b2o3bo3bo9bo3bo13bo10bobo$548bo3bo9bo3bo13bo10bob
o$71b3o78b3o393bo3bo13bo10bobo$70bo2bo78bo2bo396bo10bobo$73bo78bo378bo
11b3o3bobo$73bo72bo5bo377b3o10bo2bo$70bobo40bo17bo13b3o5bobo374bob2o9b
o$112b3o15b3o12bob2o382b3o9bo3bo$111b2obo14b2obo13b3o382b3o9bo$111b3o
15b3o14b2o383b2o11bobo6b3o$111b3o16b2o421bo2bo4bo5b3o$112b2o439bo6b3o
4bo2bo4bo5b3o$547b3o3bo5b2obo4bo6b3o4bo2bo4bo$517bo29bo2bo3bobo2b3o5bo
5b2obo4bo6b3o5b3o$516b3o28bo11b3o6bobo2b3o5bo5b2obo5bo2bo4bo$515b2obo
16b3o9bo11b3o11b3o6bobo2b3o6bo6b3o$515b3o16bo2bo10bobo9b2o11b3o11b3o6b
o5b2obo$129b3o383b3o19bo36b2o11b3o7bobo2b3o$77bo50bo2bo384b2o15bo3bo
50b2o12b3o$76b3o52bo401bo3bo64b3o$76bob2o51bo405bo65b2o$77b3o42b3o3bob
o403bobo$77b2o43bo2bo$122bo$122bo7b3o$123bobo4bo2bo481b3o$130bo469bo
13bo2bo$130bo455bo12b3o4b3o8bo$131bobo20b3o415bo12b3o4b3o4bob2o3bo2bo
7bo$154bo2bo400bo12b3o4b3o4bob2o3bo2bo4b3o3bo7bobo$154bo402b3o4b3o4bob
2o3bo2bo4b3o3bo7b2o4bo3bo$154bo395b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo9bo
3bo$155bobo392bo2bo4b3o3bo7b2o4bo3bo9bo3bo9bo$550bo7b2o4bo3bo9bo3bo9bo
14bobo$550bo3bo9bo3bo9bo14bobo$81b3o78b3o385bo3bo9bo14bobo$81bo2bo76bo
2bo385bo14bobo$81bo82bo366bo11b3o5bobo$81bo74bo7bo365b3o9bo2bo$82bobo
38bo17bo13b3o3bobo365b2obo12bo$122b3o15b3o11b2obo371b3o9bo3bo$122bob2o
14bob2o10b3o372b3o13bo$123b3o15b3o11b2o373b2o10bobo8b3o$123b3o15b2o
409bo2bo5bo5b3o$123b2o430bo4b3o3bo2bo5bo5b3o$547b3o5bo4bob2o5bo4b3o3bo
2bo5bo$517bo28bo2bo2bobo6b3o5bo4bob2o5bo4b3o5b3o$516b3o30bo11b3o2bobo
6b3o5bo4bob2o3bo2bo5bo$516bob2o15b3o11bo11b3o11b3o2bobo6b3o6bo4b3o$
517b3o15bo2bo7bobo12b2o12b3o11b3o6bo4bob2o$139b3o375b3o15bo39b2o12b3o
3bobo6b3o$87bo51bo2bo374b2o16bo3bo49b2o13b3o$86b3o50bo395bo3bo64b3o$
85b2obo50bo395bo68b2o$85b3o44b3o5bobo393bobo$86b2o43bo2bo$134bo$134bo
5b3o$131bobo5bo2bo$142bo$142bo$139bobo22b3o$163bo2bo$166bo$166bo$163bo
bo3$91b3o78b3o$90bo2bo78bo2bo$93bo78bo$93bo72bo5bo$90bobo40bo17bo13b3o
5bobo$132b3o15b3o12bob2o$131b2obo14b2obo13b3o$131b3o15b3o14b2o$131b3o
16b2o$132b2o6$149b3o$97bo50bo2bo$96b3o52bo$96bob2o51bo$97b3o42b3o3bobo
$97b2o43bo2bo$142bo$142bo7b3o$143bobo4bo2bo$150bo$150bo$151bobo20b3o$
174bo2bo$174bo$174bo$175bobo3$101b3o78b3o$101bo2bo76bo2bo$101bo82bo$
101bo74bo7bo$102bobo38bo17bo13b3o3bobo$142b3o15b3o11b2obo$142bob2o14bo
b2o10b3o$143b3o15b3o11b2o$143b3o15b2o$143b2o6$159b3o$107bo51bo2bo$106b
3o50bo$105b2obo50bo$105b3o44b3o5bobo$106b2o43bo2bo$154bo$154bo5b3o$
151bobo5bo2bo$162bo$162bo$159bobo22b3o$183bo2bo$186bo$186bo$183bobo3$
111b3o78b3o$110bo2bo78bo2bo$113bo78bo$113bo72bo5bo$110bobo40bo17bo13b
3o5bobo$152b3o15b3o12bob2o$151b2obo14b2obo13b3o$151b3o15b3o14b2o$151b
3o16b2o$152b2o6$169b3o$117bo50bo2bo$116b3o52bo$116bob2o51bo$117b3o42b
3o3bobo$117b2o43bo2bo$162bo$162bo7b3o$163bobo4bo2bo$170bo$170bo$171bob
o20b3o$194bo2bo$194bo$194bo$195bobo3$121b3o78b3o$121bo2bo76bo2bo$121bo
82bo$121bo74bo7bo$122bobo38bo17bo13b3o3bobo$162b3o15b3o11b2obo$162bob
2o14bob2o10b3o$163b3o15b3o11b2o$163b3o15b2o$163b2o6$179b3o$127bo51bo2b
o$126b3o50bo$125b2obo50bo$125b3o44b3o5bobo$126b2o43bo2bo$174bo$174bo5b
3o$171bobo5bo2bo$182bo$182bo$179bobo22b3o$203bo2bo$206bo$206bo$203bobo
3$131b3o78b3o$130bo2bo78bo2bo$133bo78bo$133bo72bo5bo$130bobo40bo17bo
13b3o5bobo$172b3o15b3o12bob2o$171b2obo14b2obo13b3o$171b3o15b3o14b2o$
171b3o16b2o$172b2o6$189b3o$137bo50bo2bo$136b3o52bo$136bob2o51bo$137b3o
42b3o3bobo$137b2o43bo2bo$182bo$182bo7b3o$183bobo4bo2bo$190bo$190bo$
191bobo20b3o$214bo2bo$214bo$214bo$215bobo3$141b3o78b3o$141bo2bo76bo2bo
$141bo82bo$141bo74bo7bo$142bobo38bo17bo13b3o3bobo$182b3o15b3o11b2obo$
182bob2o14bob2o10b3o$183b3o15b3o11b2o$183b3o15b2o$183b2o6$199b3o$147bo
51bo2bo$146b3o50bo$145b2obo50bo$145b3o44b3o5bobo$146b2o43bo2bo$194bo$
194bo5b3o$191bobo5bo2bo$202bo$202bo$199bobo22b3o$223bo2bo$226bo$226bo$
223bobo3$151b3o78b3o$150bo2bo78bo2bo$153bo78bo$153bo72bo5bo$150bobo40b
o17bo13b3o5bobo$192b3o15b3o12bob2o$191b2obo14b2obo13b3o$191b3o15b3o14b
2o$191b3o16b2o$192b2o6$209b3o$157bo50bo2bo$156b3o52bo$156bob2o51bo$
157b3o42b3o3bobo$157b2o43bo2bo$202bo$202bo7b3o$203bobo4bo2bo$210bo$
210bo$211bobo!
Puffer Suppressor
Would we be able to know when we know everything there is to know?
How would we know what we don’t know that we don’t know?

The (34,7)c/156 caterpillar is finished!!! You can download it here.

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HerscheltheHerschel
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Re: Helix Thread

Post by HerscheltheHerschel » November 16th, 2023, 9:30 am

I don't know if this is considered a helix, but I'm posting it anyways.

Code: Select all

x = 16, y = 40, rule = B3/S23
2o$2o4$2b3o$2bo2bo$2bo$2bo$3bo4$3b3o$2bo2bo$5bo$5bo$4bo3$2b3o$2bo2bo$
2bo$2bo$3bo11$12b3o$12bo2bo$12bo$12bo$13bo!
superstrings, fuses, waves, wicks, and agars are cool
30P5H2V0 IS A BAD, UNMEMORIZABLE NAME
NEW ACCOUNT: hth3

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FWKnightship
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Re: Helix Thread

Post by FWKnightship » December 2nd, 2023, 10:54 pm

50c/154 helix:

Code: Select all

x = 42, y = 362, rule = B3/S23
5bo4b3o$4b3o3bo2bo9b2o$3b2obo3bo11b2o$3b3o4bo3bo9bo$4b2o4bo3bo$9b2o25b
o$9b2o24bobo$10bobo$35bo$10b2o22b3ob3o$34bo2b3obo$35b2o2b2o$38bo$34b2o
b2o2$2b3o$2bo2bo$2bo$2bo3bo24b3o$2bo11bo16bo2bo$3bobo7b3o15bo$13bob2o
14bo3bo$14b3o14bo$14b2o16bobo$27bo$26b3o$26bob2o$5bo4b3o14b3o$4b3o2bo
2bo14b2o$4bob2o4bo$5b4o3bo$5b2o5bo$9bo2bo$10b2o26b3o$12bo24bo2bo$40bo$
8b2o3bo26bo$8b2obo25bobo$8bo2b2o$9b3o3$2b3o$bo2bo$4bo$o3bo26b3o$4bo9bo
15bo2bo$bobo9b3o17bo$12b2obo13bo3bo$12b3o18bo$13b2o15bobo$27bo$26b3o$
25b2obo$5bo4b3o12b3o$4b3o3bo2bo12b2o$3b2obo3bo$3b3o4bo3bo$4b2o4bo3bo$
9b2o$9b2o2bo24b3o$10b2o26bo2bo$38bo$38bo$39bobo2$7b2o2$7bo3bo$2b3o3bo
2bo$2bo2bo4bo$2bo$2bo3bo24b3o$2bo11bo16bo2bo$3bobo7b3o15bo$13bob2o14bo
3bo$14b3o14bo$14b2o16bobo$27bo$26b3o$26bob2o$5bo4b3o14b3o$4b3o2bo2bo
14b2o$4bob2o4bo$5b4o3bo$5b2o5bo$9bo2bo$10b2o26b3o$11bo25bo2bo$9b3o28bo
$9b3o28bo$37bobo5$2b3o$bo2bo$4bo$o3bo26b3o$4bo9bo15bo2bo$bobo9b3o17bo$
12b2obo13bo3bo$12b3o18bo$13b2o15bobo$27bo$26b3o$25b2obo$5bo4b3o12b3o$
4b3o3bo2bo12b2o$3b2obo3bo$3b3o4bo3bo$4b2o4bo3bo$9b2o$9b2o27b3o$10bobo
25bo2bo$10b3o25bo$9b2o27bo$8b3o28bobo$7bo2b2o$8b2o2bo$9b2obo$9b2o$2b3o
$2bo2bo$2bo$2bo3bo24b3o$2bo11bo16bo2bo$3bobo7b3o15bo$13bob2o14bo3bo$
14b3o14bo$14b2o16bobo$27bo$26b3o$26bob2o$5bo4b3o14b3o$4b3o2bo2bo14b2o$
4bob2o4bo$5b4o3bo$5b2o5bo$9bo2bo$10b2o26b3o$11bo25bo2bo$10bo29bo$10bo
29bo$37bobo5$2b3o$bo2bo$4bo$o3bo26b3o$4bo9bo15bo2bo$bobo9b3o17bo$12b2o
bo13bo3bo$12b3o18bo$13b2o15bobo$27bo$26b3o$25b2obo$5bo4b3o12b3o$4b3o3b
o2bo12b2o$3b2obo3bo$3b3o4bo3bo$4b2o4bo3bo$9b2o$9b2o27b3o$9b2ob2o24bo2b
o$9bo2b2o24bo$8b2ob2o25bo$9bobo27bobo$10bo4$2b3o$2bo2bo$2bo$2bo3bo24b
3o$2bo11bo16bo2bo$3bobo7b3o15bo$13bob2o14bo3bo$14b3o14bo$14b2o16bobo$
27bo$26b3o$26bob2o$5bo4b3o14b3o$4b3o2bo2bo14b2o$4bob2o4bo$5b4o3bo$5b2o
5bo$9bo2bo$10b2o26b3o$37bo2bo$40bo$40bo$37bobo$7b2o$7b2o2$9b3o$2b3o5bo
$bo2bo5bo$4bo$o3bo26b3o$4bo9bo15bo2bo$bobo9b3o17bo$12b2obo13bo3bo$12b
3o18bo$13b2o15bobo$27bo$26b3o$25b2obo$5bo4b3o12b3o$4b3o3bo2bo12b2o$3b
2obo3bo$3b3o4bo3bo$4b2o4bo3bo$9b2o$9b2o27b3o$10bobo25bo2bo$38bo$10b2o
26bo$39bobo5$2b3o$2bo2bo$2bo$2bo3bo24b3o$2bo11bo16bo2bo$3bobo7b3o15bo$
13bob2o14bo3bo$14b3o14bo$14b2o16bobo$27bo$26b3o$26bob2o$5bo4b3o14b3o$
4b3o2bo2bo14b2o$4bob2o4bo$5b4o3bo$5b2o5bo$9bo2bo$10b2o26b3o$12bo24bo2b
o$40bo$8b2o3bo26bo$8b2obo25bobo$8bo2b2o$9b3o3$2b3o$bo2bo$4bo$o3bo26b3o
$4bo9bo15bo2bo$bobo9b3o17bo$12b2obo13bo3bo$12b3o18bo$13b2o15bobo$27bo$
26b3o$25b2obo$5bo4b3o12b3o$4b3o3bo2bo12b2o$3b2obo3bo$3b3o4bo3bo$4b2o4b
o3bo$9b2o$9b2o2bo24b3o$10b2o26bo2bo$38bo$38bo$39bobo2$7b2o2$7bo3bo$2b
3o3bo2bo$2bo2bo4bo$2bo$2bo3bo24b3o$2bo11bo16bo2bo$3bobo7b3o15bo$13bob
2o14bo3bo$14b3o14bo$14b2o16bobo$27bo$26b3o$26bob2o$5bo4b3o14b3o$4b3o2b
o2bo14b2o$4bob2o4bo$5b4o3bo$5b2o5bo$9bo2bo$10b2o26b3o$11bo25bo2bo$9b3o
28bo$9b3o28bo$37bobo5$2b3o$bo2bo$4bo$o3bo26b3o$4bo9bo15bo2bo$bobo9b3o
17bo$12b2obo13bo3bo$12b3o18bo$13b2o15bobo$27bo$26b3o$25b2obo$5bo4b3o
12b3o$4b3o3bo2bo12b2o$3b2obo3bo$3b3o4bo3bo$4b2o4bo3bo$9b2o$9b2o27b3o$
10bobo25bo2bo$10b3o25bo$9b2o27bo$8b3o28bobo$7bo2b2o$8b2o2bo$9b2obo$9b
2o$2b3o$2bo2bo$2bo$2bo3bo24b3o$2bo11bo16bo2bo$3bobo7b3o15bo$13bob2o14b
o3bo$14b3o14bo$14b2o16bobo$27bo$26b3o$26bob2o$27b3o$27b2o5$38b3o$37bo
2bo$40bo$40bo$37bobo!
50c/154 is the speed of this H track:

Code: Select all

x = 664, y = 31, rule = B3/S23
3bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo$b3o47b3o47b3o
47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o$o49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo$2o48b2o48b2o48b2o48b2o48b2o
48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o4$10bo49bo49bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo$10b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o
47b3o47b3o47b3o47b3o47b3o47b3o$13bo49bo49bo49bo49bo49bo49bo49bo49bo49b
o49bo49bo49bo49bo$12b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o
35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o
35b2o11b2o35b2o$25b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b
2o48b2o48b2o6$11bo$11bobo$2o9b3o36b2o48b2o48b2o48b2o48b2o48b2o48b2o48b
2o48b2o48b2o48b2o48b2o48b2o$2o11bo23b2o11b2o35b2o11b2o35b2o11b2o35b2o
11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o
11b2o35b2o11b2o35b2o11b2o$38bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo
49bo49bo$35b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o
47b3o$35bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo4$25b2o48b2o
48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o$25bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo$26b3o47b3o47b3o47b3o47b3o47b
3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o$28bo49bo49bo49bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.

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dvgrn
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Re: Helix Thread

Post by dvgrn » December 2nd, 2023, 11:15 pm

FWKnightship wrote:
December 2nd, 2023, 10:54 pm
50c/154 helix...
50c/154 is the speed of this H track...
Wow, that's ambitious -- Coe ships as part of a helix definitely seem like a first.

The Coe ship does seem to do an unusually good job of pushing the burning reaction forward much faster than a glider's normal speed. Has any research been done into building that helix from one side yet? It would be from the right side, wouldn't it?

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EvinZL
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Re: Helix Thread

Post by EvinZL » December 3rd, 2023, 9:39 pm

50c/154 H climber spaceship seems actually viable...

So for each track, eater1 off one side. Then we can shoot an arbitrary singlechannel62 salvo from each spot in the other side. The spine of the spaceship consists of two such tracks shooting left and right. If 50 spaces orthognally is enough space, then we can construct the necessary helix. Then the forward spaceships do the helix, fanout, and construct the tracks using 90 degree glider pairs.

Cleanup would presumably involve using backwards spaceships in a similar manner.

If there is not enough space, block off half of the output gliders to get 100c/308. This also increases the amount of construction the forward spaceships must do.

[feel free to move this to another topic if people actually intend on making this]

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HerscheltheHerschel
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Re: Helix Thread

Post by HerscheltheHerschel » January 6th, 2024, 11:47 am

Can this be used as a helix component?

Code: Select all

x = 15, y = 20, rule = B3/S23
7b4o$7bo3bo$7bo$8bo2bo$12bo$8bo5bo$7bo$7bo6bo$7b7o4$7b4o$7bo3bo$7bo$8b
o2bo2$3o$2bo$bo!
And this:

Code: Select all

x = 22, y = 9, rule = B3/S23
7b4o$7bo3bo$7bo$8bo$18bo$3o5bo8bo$2bo4bo9bo3bo$bo5bo5bo3b4o$7b6o!
superstrings, fuses, waves, wicks, and agars are cool
30P5H2V0 IS A BAD, UNMEMORIZABLE NAME
NEW ACCOUNT: hth3

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FWKnightship
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Re: Helix Thread

Post by FWKnightship » February 16th, 2024, 2:33 am

(28,3)c/84 p252 helix:

Code: Select all

x = 111, y = 213, rule = B3/S23
68b3o$68bo2bo4bo$62b2o4bo6b3o$63b2o3bo5b2obo$62bo6bobo2b3o8b3o$74b3o8b
o2bo4bo$74b3o8bo6b3o$75b2o8bo5b2obo$86bobo2b3o$91b3o$91b3o$92b2o6bo$
99b3o$99bob2o$100b3o$100b3o$100b2o7$90bo$76bo12b3o$62bo12b3o4b3o3b2obo
$61b3o4b3o3b2obo3bo2bo3b3o5bo$54b3o3b2obo3bo2bo3b3o7bo4b2o4b3o$53bo2bo
3b3o7bo4b2o3bo3bo9b2obo$56bo4b2o3bo3bo9bo3bo9b3o11bo$44b3o5bo3bo9bo3bo
13bo10b2o10b3o$43bo2bo5bo3bo13bo10bobo23bob2o$46bo9bo10bobo38b3o$46bo
6bobo52b3o$43bobo62b3o$108b2o2$36b3o$36bo2bo$36bo$36bo7bo$37bobo3b3o$
43bob2o12b3o$44b3o12bo2bo4bo$44b2o13bo6b3o$59bo5b2obo$60bobo2b3o8b3o$
65b3o8bo2bo4bo$65b3o8bo6b3o$66b2o8bo5b2obo$77bobo2b3o$82b3o$82b3o$83b
2o6bo$90b3o$90bob2o$91b3o$91b3o$91b2o7$81bo$67bo12b3o$53bo12b3o4b3o3b
2obo$52b3o4b3o3b2obo3bo2bo3b3o5bo$45b3o3b2obo3bo2bo3b3o7bo4b2o4b3o$44b
o2bo3b3o7bo4b2o3bo3bo9b2obo$47bo4b2o3bo3bo9bo3bo9b3o11bo$35b3o5bo3bo9b
o3bo13bo10b2o10b3o$34bo2bo5bo3bo13bo10bobo23bob2o$37bo9bo10bobo38b3o$
37bo6bobo52b3o$34bobo62b3o$99b2o2$27b3o$27bo2bo$27bo$27bo7bo$28bobo3b
3o$34bob2o12b3o$35b3o12bo2bo4bo$35b2o13bo6b3o$50bo5b2obo$51bobo2b3o8b
3o$56b3o8bo2bo4bo$56b3o8bo6b3o$57b2o8bo5b2obo$68bobo2b3o$73b3o$73b3o$
74b2o6bo$81b3o$81bob2o$82b3o$82b3o$82b2o7$72bo$58bo12b3o$44bo12b3o4b3o
3b2obo$43b3o4b3o3b2obo3bo2bo3b3o5bo$36b3o3b2obo3bo2bo3b3o7bo4b2o4b3o$
35bo2bo3b3o7bo4b2o3bo3bo9b2obo$38bo4b2o3bo3bo9bo3bo9b3o11bo$26b3o5bo3b
o9bo3bo13bo10b2o10b3o$25bo2bo5bo3bo13bo10bobo23bob2o$28bo9bo10bobo38b
3o$28bo6bobo52b3o$25bobo62b3o$90b2o2$18b3o$18bo2bo$18bo$18bo7bo$19bobo
3b3o$25bob2o12b3o$26b3o12bo2bo4bo$26b2o13bo6b3o$41bo5b2obo$42bobo2b3o
8b3o$47b3o8bo2bo4bo$47b3o8bo6b3o$48b2o8bo5b2obo$59bobo2b3o$64b3o$64b3o
$65b2o6bo$72b3o$72bob2o$73b3o$73b3o$73b2o7$63bo$49bo12b3o$35bo12b3o4b
3o3b2obo$34b3o4b3o3b2obo3bo2bo3b3o5bo$27b3o3b2obo3bo2bo3b3o7bo4b2o4b3o
$26bo2bo3b3o7bo4b2o3bo3bo9b2obo$29bo4b2o3bo3bo9bo3bo9b3o11bo$17b3o5bo
3bo9bo3bo13bo10b2o10b3o$16bo2bo5bo3bo13bo10bobo23bob2o$19bo9bo10bobo
38b3o$19bo6bobo52b3o$16bobo62b3o$81b2o2$9b3o$9bo2bo$9bo$9bo7bo$10bobo
3b3o$16bob2o12b3o$17b3o12bo2bo4bo$17b2o13bo6b3o$32bo5b2obo$33bobo2b3o
8b3o$38b3o8bo2bo4bo$38b3o8bo6b3o$39b2o8bo5b2obo$50bobo2b3o$55b3o$55b3o
$56b2o6bo$63b3o$63bob2o$64b3o$64b3o$64b2o7$54bo$40bo12b3o$26bo12b3o4b
3o3b2obo$25b3o4b3o3b2obo3bo2bo3b3o5bo$18b3o3b2obo3bo2bo3b3o7bo4b2o4b3o
$17bo2bo3b3o7bo4b2o3bo3bo9b2obo$20bo4b2o3bo3bo9bo3bo9b3o11bo$8b3o5bo3b
o9bo3bo13bo10b2o10b3o$7bo2bo5bo3bo13bo10bobo23bob2o$10bo9bo10bobo38b3o
$10bo6bobo52b3o$7bobo62b3o$72b2o2$3o$o2bo$o$o7bo$bobo3b3o$7bob2o$8b3o$
8b2o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.

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wwei47
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Re: Helix Thread

Post by wwei47 » May 25th, 2024, 8:18 am

A 4 LWSS (34,7)c/156 helix that I can't use for making a smaller (34,7)c/156 ship because the usual LWSS inserter can't build it, and a 4 LWSS (34,7)c/156 helix that I can't use for making a smaller (34,7)c/156 ship because it makes nothing.

Code: Select all

x = 32, y = 204, rule = LifeHistory
16.2D$16.2D10$4.2D$4.D.D$4.D21$23.2D$23.2D10$11.2D$11.D.D$11.D21$30.
2D$30.2D10$18.2C$18.C.C$18.C2$15.3A$14.A2.A$17.A$17.A$14.A.A4$18.A$
17.3A$16.2A.A$16.3A$17.2A12$29.A$28.3A$27.2A.A$27.3A$18.3A7.2A$18.A2.
A$18.A$18.A$19.A.A12$8.3A$7.A2.A$10.A$10.A$7.A.A4$11.A$10.3A$9.2A.A$
9.3A$10.2A12$22.A$21.3A$20.2A.A$20.3A$11.3A7.2A$11.A2.A$11.A$11.A$12.
A.A12$.3A$A2.A$3.A$3.A$A.A4$4.A$3.3A$2.2A.A$2.3A$3.2A12$15.A$14.3A$
13.2A.A$13.3A$4.3A7.2A$4.A2.A$4.A$4.A$5.A.A!

Code: Select all

x = 179, y = 196, rule = LifeHistory
19.3D128.3D$21.D128.D$20.D130.D32$26.3D128.3D$28.D128.D$27.D130.D32$
33.3C3.A120.A3.3C$35.C2.3A118.3A2.C$34.C2.2A.A118.A.2A2.C$37.3A120.3A
$38.2A120.2A6$43.3A108.3A$42.A2.A108.A2.A$45.A108.A$45.A108.A$42.A.A
110.A.A2$172.3A$171.A2.A$174.A$174.A$171.A.A3$18.3A$18.A2.A$18.A$18.A
$19.A.A$176.3A$175.A2.A$178.A$178.A$175.A.A3$14.3A$14.A2.A$14.A$14.A$
15.A.A5$32.A120.A$31.3A118.3A$30.2A.A118.A.2A$30.3A120.3A$31.2A120.2A
6$36.3A108.3A$35.A2.A108.A2.A$38.A108.A$38.A108.A$35.A.A110.A.A2$165.
3A$164.A2.A$167.A$167.A$164.A.A3$11.3A$11.A2.A$11.A$11.A$12.A.A$169.
3A$168.A2.A$171.A$171.A$168.A.A3$7.3A$7.A2.A$7.A$7.A$8.A.A5$25.A120.A
$24.3A118.3A$23.2A.A118.A.2A$23.3A120.3A$24.2A120.2A6$29.3A108.3A$28.
A2.A108.A2.A$31.A108.A$31.A108.A$28.A.A110.A.A2$158.3A$157.A2.A$160.A
$160.A$157.A.A3$4.3A$4.A2.A$4.A$4.A$5.A.A$162.3A$161.A2.A$164.A$164.A
$161.A.A3$3A$A2.A$A$A$.A.A!
The LWSS inserter in question:

Code: Select all

x = 15, y = 14, rule = B3/S23
11b2o$10b2ob2o$11b4o$12b2o3$bo$2o$obo3$4b2o$4bobo$4bo!
EDIT: Got it!!!

Code: Select all

x = 193, y = 45, rule = LifeHistory
.4A$A3.A$4.A13.2A$A2.A13.4A$17.2A.2A$19.2A2$45.4A$44.A3.A$48.A13.2A$
44.A2.A13.4A$61.2A.2A$63.2A2$89.4A$88.A3.A$92.A13.2A$88.A2.A13.4A$26.
2A77.2A.2A$25.4A78.2A$25.2A.2A$27.2A$191.D$192.D$190.3D$70.2A$30.A2.A
35.4A$34.A34.2A.2A$30.A3.A36.2A$31.4A122.D33.2D$158.D32.2D$156.3D$
114.2A$74.A2.A35.4A$78.A34.2A.2A$74.A3.A36.2A$75.4A44.C33.2D$124.C32.
2D$122.3C2$118.A2.A$122.A$118.A3.A$119.4A2D$123.2D!
Currently trying to reduce the big P6 double sparker.
Replicator thread: viewtopic.php?f=11&t=6769
Fractal thread: viewtopic.php?f=12&t=6675

:3c

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FWKnightship
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Re: Helix Thread

Post by FWKnightship » October 24th, 2024, 3:28 am

A crazy idea: Can something like this be used in a helix?

Code: Select all

x = 42, y = 187, rule = B3/S23
20bo$19b3o3b3o$18b2obo2bo2bo5bo$18b3o6bo4b3o$18b3o2bo3bo3b2obo$19b2o6b
o3b3o$24bo2bo3b3o$26b2o3b3o$21bo10b2o$20b3o$19b2obo$19b3o4b3o$19b3o$
19b3o$20b2o$26b3o3$17b3o$16bo2bo6b3o$19bo$19bo$16bobo$26b3o4$26b3o4$
26b3o4$26b3o4$26b3o4$26b3o4$26b3o2$18bo$17b3o$16b2obo6b3o$16b3o$17b2o
2$26b3o4$26b3o4$26b3o4$26b3o3$39b3o$26b3o10bo$40bo3$26b3o4$26b3o4$26b
3o$32b3o$32bo2bo$32bo$26b2o4bo3bo$28bo3bo3bo$32bo$33bobo9$18bo19bo$17b
3o17b3o$16b2obo16b2obo$16b3o17b3o$17b2o18b2o47$6bo$5b3o$4b2obo$4b3o$5b
2o8$b3o$o2bo$3bo$3bo$obo7$b3o$o2bo$3bo$3bo$obo5$8bo$7b3o$6b2obo$6b3o$
7b2o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.

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Re: Helix Thread

Post by dvgrn » October 24th, 2024, 7:37 am

FWKnightship wrote:
October 24th, 2024, 3:28 am
A crazy idea: Can something like this be used in a helix?
Are you familiar with the "universal helix" thread from 2016? Can't believe that was over eight years ago already.

Some good tricks were developed for building "quadratic helices" with speeds that could get arbitrarily close to c/2.

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FWKnightship
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Re: Helix Thread

Post by FWKnightship » November 15th, 2024, 7:18 am

(28,3)c/84 p336 helix without HWSSes:

Code: Select all

#C Probably unconstructable.
x = 119, y = 299, rule = B3/S23
102b2o$102b2o3bo$106bobo$106bobo$93b3o11bo$86b3o3bo2bo5b3o$86bo2bo5bo
5bo2bo$86bo8bo5bo$86bo5bobo6bo$80b3o4bobo12bobo$73b3o3bo2bo$73bo2bo5bo
10b3o$73bo8bo9bo2bo$73bo5bobo13bo$67b3o4bobo14bo3bo$60b3o3bo2bo25bo$
60bo2bo5bo10b3o9bobo5b3o$60bo8bo9bo2bo17bo2bo$60bo5bobo13bo17bo$61bobo
14bo3bo17bo$82bo18bobo$67b3o9bobo5b3o$66bo2bo17bo2bo$69bo17bo$65bo3bo
17bo$69bo18bobo$66bobo5b3o$53bo20bo2bo$52b3o19bo$52bob2o18bo$53b3o19bo
bo$53b3o49b3o$53b2o50bo2bo$105bo$64b3o38bo$56b3o4bo2bo4b3o32bobo$56bo
2bo6bo4bo2bo$56bo9bo4bo$56bo6bobo5bo$57bobo12bobo$78b3o$48b3o13b3o10bo
2bo4b3o$48bo2bo11bo2bo13bo4bo2bo$48bo17bo13bo4bo$48bo13bo3bo10bobo5bo$
49bobo14bo19bobo$57b3o3bobo$57bo2bo17b3o$57bo19bo2bo$57bo22bo$58bobo
15bo3bo$80bo$71b3o3bobo$71bo2bo19bo$71bo21b3o$71bo21bob2o$72bobo19b3o$
94b3o$94b2o2$81b3o$74b3o3bo2bo5b3o$74bo2bo5bo5bo2bo$74bo8bo5bo$74bo5bo
bo6bo$68b3o4bobo12bobo$61b3o3bo2bo$61bo2bo5bo10b3o$61bo8bo9bo2bo$61bo
5bobo13bo30b3o$55b3o4bobo14bo3bo30bo2bo$48b3o3bo2bo25bo30bo$48bo2bo5bo
10b3o9bobo5b3o23bo3bo$48bo8bo9bo2bo17bo2bo22bo$48bo5bobo13bo17bo26bobo
$49bobo14bo3bo17bo$70bo18bobo$55b3o9bobo5b3o$54bo2bo17bo2bo$57bo17bo$
53bo3bo17bo$57bo18bobo$54bobo5b3o$41bo20bo2bo$40b3o19bo$40bob2o18bo$
41b3o19bobo$41b3o49b3o$41b2o50bo2bo$93bo$52b3o38bo$44b3o4bo2bo4b3o32bo
bo$44bo2bo6bo4bo2bo$44bo9bo4bo$44bo6bobo5bo$45bobo12bobo$66b3o$36b3o
13b3o10bo2bo4b3o$36bo2bo11bo2bo13bo4bo2bo$36bo17bo13bo4bo$36bo13bo3bo
10bobo5bo$37bobo14bo19bobo$45b3o3bobo$45bo2bo17b3o$45bo19bo2bo$45bo22b
o$46bobo15bo3bo$68bo$59b3o3bobo$59bo2bo19bo$59bo21b3o$59bo21bob2o$60bo
bo19b3o$82b3o$82b2o2$69b3o$62b3o3bo2bo5b3o$62bo2bo5bo5bo2bo$62bo8bo5bo
$62bo5bobo6bo$56b3o4bobo12bobo$49b3o3bo2bo$49bo2bo5bo10b3o$49bo8bo9bo
2bo$49bo5bobo13bo30b3o$43b3o4bobo14bo3bo30bo2bo$36b3o3bo2bo25bo30bo$
36bo2bo5bo10b3o9bobo5b3o23bo3bo$36bo8bo9bo2bo17bo2bo22bo$36bo5bobo13bo
17bo26bobo$37bobo14bo3bo17bo$58bo18bobo$43b3o9bobo5b3o$42bo2bo17bo2bo$
45bo17bo$41bo3bo17bo$45bo18bobo$42bobo5b3o$29bo20bo2bo$28b3o19bo$28bob
2o18bo$29b3o19bobo$29b3o49b3o$29b2o50bo2bo$81bo$40b3o38bo$32b3o4bo2bo
4b3o32bobo$32bo2bo6bo4bo2bo$32bo9bo4bo$32bo6bobo5bo$33bobo12bobo$54b3o
$24b3o13b3o10bo2bo4b3o$24bo2bo11bo2bo13bo4bo2bo$24bo17bo13bo4bo$24bo
13bo3bo10bobo5bo$25bobo14bo19bobo$33b3o3bobo$33bo2bo17b3o$33bo19bo2bo$
33bo22bo$34bobo15bo3bo$56bo$47b3o3bobo$47bo2bo19bo$47bo21b3o$47bo21bob
2o$48bobo19b3o$70b3o$70b2o2$57b3o$50b3o3bo2bo5b3o$50bo2bo5bo5bo2bo$50b
o8bo5bo$50bo5bobo6bo$44b3o4bobo12bobo$37b3o3bo2bo$37bo2bo5bo10b3o$37bo
8bo9bo2bo$37bo5bobo13bo30b3o$31b3o4bobo14bo3bo30bo2bo$24b3o3bo2bo25bo
30bo$24bo2bo5bo10b3o9bobo5b3o23bo3bo$24bo8bo9bo2bo17bo2bo22bo$24bo5bob
o13bo17bo26bobo$25bobo14bo3bo17bo$46bo18bobo$31b3o9bobo5b3o$30bo2bo17b
o2bo$33bo17bo$29bo3bo17bo$33bo18bobo$30bobo5b3o$17bo20bo2bo$16b3o19bo$
16bob2o18bo$17b3o19bobo$17b3o49b3o$17b2o50bo2bo$69bo$28b3o38bo$20b3o4b
o2bo4b3o32bobo$20bo2bo6bo4bo2bo$20bo9bo4bo$20bo6bobo5bo$21bobo12bobo$
42b3o$12b3o13b3o10bo2bo4b3o$12bo2bo11bo2bo13bo4bo2bo$12bo17bo13bo4bo$
12bo13bo3bo10bobo5bo$13bobo14bo19bobo$21b3o3bobo$21bo2bo17b3o$21bo19bo
2bo$21bo22bo$22bobo15bo3bo$44bo$35b3o3bobo$35bo2bo19bo$35bo21b3o$35bo
21bob2o$36bobo19b3o$58b3o$58b2o2$45b3o$38b3o3bo2bo5b3o$38bo2bo5bo5bo2b
o$38bo8bo5bo$38bo5bobo6bo$32b3o4bobo12bobo$25b3o3bo2bo$25bo2bo5bo10b3o
$25bo8bo9bo2bo$25bo5bobo13bo30b3o$19b3o4bobo14bo3bo30bo2bo$12b3o3bo2bo
25bo30bo$12bo2bo5bo10b3o9bobo5b3o23bo3bo$12bo8bo9bo2bo17bo2bo22bo$12bo
5bobo13bo17bo26bobo$13bobo14bo3bo17bo$34bo18bobo$19b3o9bobo5b3o$18bo2b
o17bo2bo$21bo17bo$17bo3bo17bo$21bo18bobo$18bobo5b3o$5bo20bo2bo$4b3o19b
o$4bob2o18bo$5b3o19bobo$5b3o49b3o$5b2o50bo2bo$57bo$16b3o38bo$8b3o4bo2b
o4b3o32bobo$8bo2bo6bo4bo2bo$8bo9bo4bo$8bo6bobo5bo$9bobo12bobo$30b3o$3o
13b3o10bo2bo4b3o$o2bo11bo2bo13bo4bo2bo$o17bo13bo4bo$o13bo3bo10bobo5bo$
bobo14bo19bobo$9b3o3bobo$9bo2bo17b3o$9bo19bo2bo$9bo22bo$10bobo15bo3bo$
32bo$23b3o3bobo$23bo2bo19bo$23bo21b3o$23bo21bob2o$24bobo19b3o$46b3o$
46b2o11$66b3o$66bo2bo$66bo$66bo3bo$66bo$67bobo!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.

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Re: Helix Thread

Post by eRroR_6o6 » November 16th, 2024, 10:42 pm

"(28,3)c/84 helix" but i got the slope wrong so it's actually not lol
(totally wasn't made by copypasting lwsses everywhere)

Code: Select all

x = 107, y = 689, rule = B3/S23
21$60b2o$60bo8$55b3o5b3o$55bo2bo3bo2bo$55bo9bo$55bo9bo$56bobo3bobo6$
55b3o$54bo2bo$57bo5b3o$57bo4bo2bo$54bobo8bo$65bo$62bobo2$72b3o$72bo2bo
$72bo$72bo$73bobo5$76b3o$75bo2bo$78bo$78bo$68b3o4bobo$67bo2bo$70bo$70b
o$67bobo11$74b3o$73bo2bo$76bo$76bo$73bobo12$82b3o$81bo2bo$84bo$84bo$
81bobo4$52b3o5b3o$52bo2bo3bo2bo$52bo9bo$52bo9bo$53bobo3bobo5$70b3o$52b
3o14bo2bo$51bo2bo17bo$54bo5b3o9bo$54bo4bo2bo6bobo$51bobo8bo$62bo$59bob
o2$69b3o$69bo2bo$69bo$69bo$70bobo5$73b3o$72bo2bo$75bo$75bo$65b3o4bobo$
64bo2bo$67bo$67bo$64bobo11$71b3o$70bo2bo$73bo$73bo$70bobo12$79b3o$78bo
2bo$81bo$81bo$78bobo4$49b3o5b3o$49bo2bo3bo2bo$49bo9bo$49bo9bo$50bobo3b
obo5$67b3o$49b3o14bo2bo$48bo2bo17bo$51bo5b3o9bo$51bo4bo2bo6bobo$48bobo
8bo$59bo$56bobo2$66b3o$66bo2bo$66bo$66bo$67bobo5$70b3o$69bo2bo$72bo$
72bo$62b3o4bobo$61bo2bo$64bo$64bo$61bobo11$68b3o$67bo2bo$70bo$70bo$67b
obo12$76b3o$75bo2bo$78bo$78bo$75bobo4$46b3o5b3o$46bo2bo3bo2bo$46bo9bo$
46bo9bo$47bobo3bobo5$64b3o$46b3o14bo2bo$45bo2bo17bo$48bo5b3o9bo$48bo4b
o2bo6bobo$45bobo8bo$56bo$53bobo2$63b3o$63bo2bo$63bo$63bo$64bobo5$67b3o
$66bo2bo$69bo$69bo$59b3o4bobo$58bo2bo$61bo$61bo$58bobo11$65b3o$64bo2bo
$67bo$67bo$64bobo12$73b3o$72bo2bo$75bo$75bo$72bobo4$43b3o5b3o$43bo2bo
3bo2bo$43bo9bo$43bo9bo$44bobo3bobo5$61b3o$43b3o14bo2bo$42bo2bo17bo$45b
o5b3o9bo$45bo4bo2bo6bobo$42bobo8bo$53bo$50bobo2$60b3o$60bo2bo$60bo$60b
o$61bobo5$64b3o$63bo2bo$66bo$66bo$56b3o4bobo$55bo2bo$58bo$58bo$55bobo
11$62b3o$61bo2bo$64bo$64bo$61bobo12$70b3o$69bo2bo$72bo$72bo$69bobo4$
40b3o5b3o$40bo2bo3bo2bo$40bo9bo$40bo9bo$41bobo3bobo5$58b3o$40b3o14bo2b
o$39bo2bo17bo$42bo5b3o9bo$42bo4bo2bo6bobo$39bobo8bo$50bo$47bobo2$57b3o
$57bo2bo$57bo$57bo$58bobo5$61b3o$60bo2bo$63bo$63bo$53b3o4bobo$52bo2bo$
55bo$55bo$52bobo11$59b3o$58bo2bo$61bo$61bo$58bobo12$67b3o$66bo2bo$69bo
$69bo$66bobo4$37b3o5b3o$37bo2bo3bo2bo$37bo9bo$37bo9bo$38bobo3bobo5$55b
3o$37b3o14bo2bo$36bo2bo17bo$39bo5b3o9bo$39bo4bo2bo6bobo$36bobo8bo$47bo
$44bobo2$54b3o$54bo2bo$54bo$54bo$55bobo5$58b3o$57bo2bo$60bo$60bo$50b3o
4bobo$49bo2bo$52bo$52bo$49bobo11$56b3o$55bo2bo$58bo$58bo$55bobo12$64b
3o$63bo2bo$66bo$66bo$63bobo4$34b3o5b3o$34bo2bo3bo2bo$34bo9bo$34bo9bo$
35bobo3bobo5$52b3o$34b3o14bo2bo$33bo2bo17bo$36bo5b3o9bo$36bo4bo2bo6bob
o$33bobo8bo$44bo$41bobo2$51b3o$51bo2bo$51bo$51bo$52bobo5$55b3o$54bo2bo
$57bo$57bo$47b3o4bobo$46bo2bo$49bo$49bo$46bobo11$53b3o$52bo2bo$55bo$
55bo$52bobo12$61b3o$60bo2bo$63bo$63bo$60bobo4$31b3o5b3o$31bo2bo3bo2bo$
31bo9bo$31bo9bo$32bobo3bobo5$49b3o$31b3o14bo2bo$30bo2bo17bo$33bo5b3o9b
o$33bo4bo2bo6bobo$30bobo8bo$41bo$38bobo2$48b3o$48bo2bo$48bo$48bo$49bob
o5$52b3o$51bo2bo$54bo$54bo$44b3o4bobo$43bo2bo$46bo$46bo$43bobo11$50b3o
$49bo2bo$52bo$52bo$49bobo12$58b3o$57bo2bo$60bo$60bo$57bobo13$46b3o$45b
o2bo$48bo$48bo$45bobo!

Code: Select all

x = 19, y = 37, rule = B3/S23
13b3o$12b4o$11b2obobo$13bobo$15bo12$10b2o$bobo7bobo$o7b2o3b2o$o3bo2b3o
3bo$o6b4obo$o2bo7bo$3o12bobo$18bo$14bo3bo$14bo3bo$18bo$9bo5bo2bo$8b3o
5b3o2$10bo$2bobo4b2o$5bo2b3o$5bo2b3o$2bo2bo2b2obo$3b3o3b3o$10bo!

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EvinZL
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Re: Helix Thread

Post by EvinZL » July 17th, 2025, 2:28 pm

Here is, at first glance, a perfectly normal helix, all isolated xWSSes... On second glance, the straightways slope the wrong way... and the speed is 0.466c, which is a bit greater than 11c/24...

Code: Select all

x = 612, y = 418, rule = B3/S23
589b2o$588bobo$589bo2$591bo$590b3o$590bob2o$591b3o$591b2o19$20b3o19bo$
14bo4bo2bo18b3o18b3o19bo$13b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o
19bo$12b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo
18b3o18b3o19bo$12b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o
4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$13b2o14bo6bo12b3o4b3o
4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2ob
o5bo6bo4bo2bo18b3o18b3o19bo$26bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo
7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo
6bo5bo2bo17b3o18b3o19bo$70bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6b
o6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo
2bo18b3o18b3o19bo$110bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o
4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo
17b3o18b3o19bo$8b3o143bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b
2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo
18b3o18b3o19bo$7bo2bo183bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo
5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo
2bo17b3o18b3o19bo$10bo227bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo
6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo
2bo18b3o18b3o19bo$10bo267bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo
5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo
2bo17b3o18b3o$7bobo312bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b
2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo
$17bo8b3o333bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bo
b2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o$16b3o7bo2bo7b3o19bo346bobo4bobo
10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo$16bob2o
6bo10bo2bo17b3o18b3o19bo344bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo$
17b3o6bo10bo19b2obo17bo2bo18b3o18b3o19bo346bobo4bobo10b2o5b2o14bo3b3o$
17b2o8bobo7bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo344bobo3bo2bo$38bobo
17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo311bo$78bobo20b2o18bo19b
3o21bo18bob2o17bo2bo17b3o18b3o19bo265bo3bo$122bobo17b2o21bo19b3o17bo
19b2obo17bo2bo18b3o18b3o19bo223bo3bo$39b3o19bo100bobo20b2o18bo19b3o21b
o18bob2o17bo2bo17b3o18b3o19bo185bo$2bo35bo2bo18b3o18b3o19bo102bobo17b
2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo140bobo$b3o37bo18bob2o17bo
2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo
$2obo37bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o17b
o19b2obo17bo2bo18b3o18b3o19bo$3o35bobo20b2o18bo19b3o21bo18bob2o17bo2bo
17b3o18b3o19bo100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo13b
o$3o17bo61bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo102bobo17b
2o21bo19b3o17bo19b2obo17bo2bo18b3o11b3o$b2o16b3o100bobo20b2o18bo19b3o
21bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo18bob2o9b2obo
$18b2obo144bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo102bobo
17b2o21bo19b3o9b3o$18b3o185bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o
18b3o19bo100bobo20b2o11b2o$19b2o229bobo17b2o21bo19b3o17bo19b2obo17bo2b
o18b3o18b3o19bo$290bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo$
334bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo$374bobo20b2o18bo
19b3o21bo18bob2o17bo2bo17b3o$418bobo17b2o21bo19b3o17bo19b2obo$14bo443b
obo20b2o18bo19b3o$13b3o486bobo17b2o$12b2obo$12b3o$13b2o10$569bo19b3o$
527bo19b3o18b3o18bo2bo4bo$485bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4b
o6b3o$443bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo
3bo2bo3bo6bob2o$401bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o
5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o$359bo19b3o18b3o18bo
2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o
6bo6bo3bobo4b3o4b3o12bo6bo14b2o$317bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o
4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o
12bo6bo11b2o5b2o13bobo4bobo$275bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o
6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo
6bo14b2o5b2o10bobo4bobo$233bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo
6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo
11b2o5b2o13bobo4bobo$191bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o
4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o
5b2o10bobo4bobo143b3o$149bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b
3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b
2o5b2o13bobo4bobo183bo2bo$107bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6b
o4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo
14b2o5b2o10bobo4bobo227bo$85b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o
4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o
5b2o13bobo4bobo267bo$85bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo
3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bob
o312bobo$78b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bob
o4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo333b3o8bo$78bo2bo3bo6bob2o3bob2o4b
2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo346bo19b3o7bo2bo7b3o$
78bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo344bo19b3o18b3o17bo2bo10bo
6b2obo$72b3o3bo14b2o5b2o10bobo4bobo346bo19b3o18b3o18bo2bo17bob2o19bo
10bo6b3o$72bo2bo3bobo344bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo7bobo8b
2o$72bo311bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo$72bo3bo
265bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo$72bo3bo223bo19b
3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo$72bo185bo19b3o18b3o17bo
2bo17b2obo18bo21b3o19bo18b2o20bobo100bo19b3o$73bobo140bo19b3o18b3o18bo
2bo17bob2o19bo17b3o19bo21b2o17bobo102bo19b3o18b3o18bo2bo35bo$174bo19b
3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo19b3o18b3o17bo2bo17b
2obo18bo37b3o$132bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo
102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo37bob2o$76bo13bo19b3o18b3o
17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo19b3o18b3o17bo2bo17b2obo18b
o21b3o19bo18b2o20bobo35b3o$75b3o11b3o18bo2bo17bob2o19bo17b3o19bo21b2o
17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo61bo17b3o$
75bob2o9b2obo18bo21b3o19bo18b2o20bobo100bo19b3o18b3o17bo2bo17b2obo18bo
21b3o19bo18b2o20bobo100b3o16b2o$76b3o9b3o19bo21b2o17bobo102bo19b3o18b
3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo144bob2o$76b2o11b2o20bobo100bo
19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo185b3o$172bo19b3o18b3o
18bo2bo17bob2o19bo17b3o19bo21b2o17bobo229b2o$130bo19b3o18b3o17bo2bo17b
2obo18bo21b3o19bo18b2o20bobo$88bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo
21b2o17bobo$87b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo$87bob2o19bo17b
3o19bo21b2o17bobo$88b3o19bo18b2o20bobo443bo$88b2o17bobo486b3o$596bob2o
$597b3o$597b2o10$20b3o19bo$14bo4bo2bo18b3o18b3o19bo$13b3o6bo4b3o4b3o4b
ob2o4bo6bo5bo2bo17b3o18b3o19bo$12b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b
3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$12b3o4bobo7bo6bo5b2o4bob2o3bob
2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o
19bo$13b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b
3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$26bobo4bobo13b2o
5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o
4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$70bobo4bobo10b2o5b2o
14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o
4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$110bobo4bobo13b2o5b2o11bo
6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo
4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$8b3o143bobo4bobo10b2o5b2o14bo
6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo
6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$7bo2bo183bobo4bobo13b2o5b2o
11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o
6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$10bo227bobo4bobo10b2o5b2o
14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o
4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$10bo267bobo4bobo13b2o5b2o
11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o
6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o$7bobo312bobo4bobo10b2o5b2o14bo
6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo
6b3o4b3o3b2obo5bo6bo4bo2bo$17bo8b3o333bobo4bobo13b2o5b2o11bo6bo12b3o4b
3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o$16b3o
7bo2bo7b3o19bo346bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2o
bo3b2obo6bo3bo2bo$16bob2o6bo10bo2bo17b3o18b3o19bo344bobo4bobo13b2o5b2o
11bo6bo12b3o4b3o4bobo7bo$17b3o6bo10bo19b2obo17bo2bo18b3o18b3o19bo346bo
bo4bobo10b2o5b2o14bo3b3o$17b2o8bobo7bo19b3o21bo18bob2o17bo2bo17b3o18b
3o19bo344bobo3bo2bo$38bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o
19bo311bo$78bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo265bo3bo
$122bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo223bo3bo$39b3o
19bo100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo185bo$2bo35bo
2bo18b3o18b3o19bo102bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo
140bobo$b3o37bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo
18bob2o17bo2bo17b3o18b3o19bo$2obo37bo19b3o17bo19b2obo17bo2bo18b3o18b3o
19bo102bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo$3o35bobo20b
2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo
18bob2o17bo2bo17b3o18b3o19bo13bo$3o17bo61bobo17b2o21bo19b3o17bo19b2obo
17bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o11b3o
$b2o16b3o100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo100bobo
20b2o18bo19b3o21bo18bob2o9b2obo$18b2obo144bobo17b2o21bo19b3o17bo19b2ob
o17bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o9b3o$18b3o185bobo20b2o18bo
19b3o21bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o11b2o$19b2o229bobo17b
2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo$290bobo20b2o18bo19b3o21bo
18bob2o17bo2bo17b3o18b3o19bo$334bobo17b2o21bo19b3o17bo19b2obo17bo2bo
18b3o18b3o19bo$374bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o$418bobo17b
2o21bo19b3o17bo19b2obo$14bo443bobo20b2o18bo19b3o$13b3o486bobo17b2o$12b
2obo$12b3o$13b2o10$569bo19b3o$527bo19b3o18b3o18bo2bo4bo$485bo19b3o18b
3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o$443bo19b3o18b3o18bo2bo4bo6bo5bob
2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o$401bo19b3o18b3o17bo2bo
5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo
6bo7bobo4b3o$359bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o
5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o$317bo
19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b
2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo$275bo19b
3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o
3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo$233bo19b3o18b
3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2ob
o4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo$191bo19b3o18b3o18b
o2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o
6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo143b3o$149bo19b3o18b3o
17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo
4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo183bo2bo$107bo19b3o
18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3b
ob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo227bo$85b3o18b3o
17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo
4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo267bo$85bo2bo4bo6bo
5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bob
o4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo312bobo$78b3o4bo6b3o4b3o5b3o2bo2bo
3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bob
o333b3o8bo$78bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b
2o10bobo4bobo346bo19b3o7bo2bo7b3o$78bo7bobo4b3o4b3o12bo6bo11b2o5b2o13b
obo4bobo344bo19b3o18b3o17bo2bo10bo6b2obo$72b3o3bo14b2o5b2o10bobo4bobo
346bo19b3o18b3o18bo2bo17bob2o19bo10bo6b3o$72bo2bo3bobo344bo19b3o18b3o
17bo2bo17b2obo18bo21b3o19bo7bobo8b2o$72bo311bo19b3o18b3o18bo2bo17bob2o
19bo17b3o19bo21b2o17bobo$72bo3bo265bo19b3o18b3o17bo2bo17b2obo18bo21b3o
19bo18b2o20bobo$72bo3bo223bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o
17bobo$72bo185bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo
19b3o$73bobo140bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo102bo
19b3o18b3o18bo2bo35bo$174bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o
20bobo100bo19b3o18b3o17bo2bo17b2obo18bo37b3o$132bo19b3o18b3o18bo2bo17b
ob2o19bo17b3o19bo21b2o17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo
37bob2o$76bo13bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo
19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo35b3o$75b3o11b3o18bo2b
o17bob2o19bo17b3o19bo21b2o17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o
19bo21b2o17bobo61bo17b3o$75bob2o9b2obo18bo21b3o19bo18b2o20bobo100bo19b
3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100b3o16b2o$76b3o9b3o19bo
21b2o17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo144bob
2o$76b2o11b2o20bobo100bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bo
bo185b3o$172bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo229b2o$
130bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo$88bo19b3o18b3o
18bo2bo17bob2o19bo17b3o19bo21b2o17bobo$87b3o17bo2bo17b2obo18bo21b3o19b
o18b2o20bobo$87bob2o19bo17b3o19bo21b2o17bobo$88b3o19bo18b2o20bobo443bo
$88b2o17bobo486b3o$596bob2o$597b3o$597b2o10$20b3o19bo$14bo4bo2bo18b3o
18b3o19bo$13b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$12b2obo6bo
3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$
12b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o
4bob2o4bo6bo5bo2bo17b3o18b3o19bo$13b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o
4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo
18b3o18b3o19bo$26bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob
2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o
18b3o19bo$70bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b
2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o
19bo$110bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o
3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo
$8b3o143bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo
6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo
$7bo2bo183bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob
2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o
19bo$10bo227bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b
2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o
19bo$10bo267bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bo
b2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o$
7bobo312bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo
6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo$17bo8b3o333bo
bo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3b
o2bo2b3o5b3o4b3o6bo4b3o$16b3o7bo2bo7b3o19bo346bobo4bobo10b2o5b2o14bo6b
o12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo$16bob2o6bo10bo2bo17b3o
18b3o19bo344bobo4bobo13b2o5b2o11bo6bo12b3o4b3o4bobo7bo$17b3o6bo10bo19b
2obo17bo2bo18b3o18b3o19bo346bobo4bobo10b2o5b2o14bo3b3o$17b2o8bobo7bo
19b3o21bo18bob2o17bo2bo17b3o18b3o19bo344bobo3bo2bo$38bobo17b2o21bo19b
3o17bo19b2obo17bo2bo18b3o18b3o19bo311bo$78bobo20b2o18bo19b3o21bo18bob
2o17bo2bo17b3o18b3o19bo265bo3bo$122bobo17b2o21bo19b3o17bo19b2obo17bo2b
o18b3o18b3o19bo223bo3bo$39b3o19bo100bobo20b2o18bo19b3o21bo18bob2o17bo
2bo17b3o18b3o19bo185bo$2bo35bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o
17bo19b2obo17bo2bo18b3o18b3o19bo140bobo$b3o37bo18bob2o17bo2bo17b3o18b
3o19bo100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo$2obo37bo
19b3o17bo19b2obo17bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o17bo19b2obo
17bo2bo18b3o18b3o19bo$3o35bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b
3o19bo100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo13bo$3o17bo
61bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo102bobo17b2o21bo
19b3o17bo19b2obo17bo2bo18b3o11b3o$b2o16b3o100bobo20b2o18bo19b3o21bo18b
ob2o17bo2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo18bob2o9b2obo$18b2ob
o144bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo102bobo17b2o21bo
19b3o9b3o$18b3o185bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo
100bobo20b2o11b2o$19b2o229bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b
3o19bo$290bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo$334bobo
17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo$374bobo20b2o18bo19b3o
21bo18bob2o17bo2bo17b3o$418bobo17b2o21bo19b3o17bo19b2obo$14bo443bobo
20b2o18bo19b3o$13b3o486bobo17b2o$12b2obo$12b3o$13b2o10$569bo19b3o$527b
o19b3o18b3o18bo2bo4bo$485bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b
3o$443bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo
2bo3bo6bob2o$401bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o
2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o$359bo19b3o18b3o18bo2bo
4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo
6bo3bobo4b3o4b3o12bo6bo14b2o$317bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b
3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12b
o6bo11b2o5b2o13bobo4bobo$275bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo
4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo
14b2o5b2o10bobo4bobo$233bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o
4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o
5b2o13bobo4bobo$191bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o
3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o
10bobo4bobo143b3o$149bo19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b
3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b
2o13bobo4bobo183bo2bo$107bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b
3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b
2o5b2o10bobo4bobo227bo$85b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b
3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b
2o13bobo4bobo267bo$85bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo
2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo
312bobo$78b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo
4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo333b3o8bo$78bo2bo3bo6bob2o3bob2o4b
2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo346bo19b3o7bo2bo7b3o$
78bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo344bo19b3o18b3o17bo2bo10bo
6b2obo$72b3o3bo14b2o5b2o10bobo4bobo346bo19b3o18b3o18bo2bo17bob2o19bo
10bo6b3o$72bo2bo3bobo344bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo7bobo8b
2o$72bo311bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo$72bo3bo
265bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo$72bo3bo223bo19b
3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo$72bo185bo19b3o18b3o17bo
2bo17b2obo18bo21b3o19bo18b2o20bobo100bo19b3o$73bobo140bo19b3o18b3o18bo
2bo17bob2o19bo17b3o19bo21b2o17bobo102bo19b3o18b3o18bo2bo35bo$174bo19b
3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo19b3o18b3o17bo2bo17b
2obo18bo37b3o$132bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo
102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo37bob2o$76bo13bo19b3o18b3o
17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo19b3o18b3o17bo2bo17b2obo18b
o21b3o19bo18b2o20bobo35b3o$75b3o11b3o18bo2bo17bob2o19bo17b3o19bo21b2o
17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo61bo17b3o$
75bob2o9b2obo18bo21b3o19bo18b2o20bobo100bo19b3o18b3o17bo2bo17b2obo18bo
21b3o19bo18b2o20bobo100b3o16b2o$76b3o9b3o19bo21b2o17bobo102bo19b3o18b
3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo144bob2o$76b2o11b2o20bobo100bo
19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo185b3o$172bo19b3o18b3o
18bo2bo17bob2o19bo17b3o19bo21b2o17bobo229b2o$130bo19b3o18b3o17bo2bo17b
2obo18bo21b3o19bo18b2o20bobo$88bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo
21b2o17bobo$87b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo$87bob2o19bo17b
3o19bo21b2o17bobo$88b3o19bo18b2o20bobo443bo$88b2o17bobo486b3o$596bob2o
$597b3o$597b2o10$20b3o19bo$14bo4bo2bo18b3o18b3o19bo$13b3o6bo4b3o4b3o4b
ob2o4bo6bo5bo2bo17b3o18b3o19bo$12b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo6b
3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$12b3o4bobo7bo6bo5b2o4bob2o3bob
2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o
19bo$13b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b
3o3b3o4b3o4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$26bobo4bobo13b2o
5b2o11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o
4b3o6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$70bobo4bobo10b2o5b2o
14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o
4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$110bobo4bobo13b2o5b2o11bo
6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo
4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$8b3o143bobo4bobo10b2o5b2o14bo
6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo
6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$7bo2bo183bobo4bobo13b2o5b2o
11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o
6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o19bo$10bo227bobo4bobo10b2o5b2o
14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o
4bo6b3o4b3o3b2obo5bo6bo4bo2bo18b3o18b3o19bo$10bo267bobo4bobo13b2o5b2o
11bo6bo12b3o4b3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o
6bo4b3o4b3o4bob2o4bo6bo5bo2bo17b3o18b3o$7bobo312bobo4bobo10b2o5b2o14bo
6bo12b3o4b3o4bobo3bo6bo6b2o4b2obo3b2obo6bo3bo2bo3bo2bo5b3o3b3o4b3o4bo
6b3o4b3o3b2obo5bo6bo4bo2bo$17bo8b3o333bobo4bobo13b2o5b2o11bo6bo12b3o4b
3o4bobo7bo6bo5b2o4bob2o3bob2o3bo6bo2bo3bo2bo2b3o5b3o4b3o6bo4b3o$16b3o
7bo2bo7b3o19bo346bobo4bobo10b2o5b2o14bo6bo12b3o4b3o4bobo3bo6bo6b2o4b2o
bo3b2obo6bo3bo2bo$16bob2o6bo10bo2bo17b3o18b3o19bo344bobo4bobo13b2o5b2o
11bo6bo12b3o4b3o4bobo7bo$17b3o6bo10bo19b2obo17bo2bo18b3o18b3o19bo346bo
bo4bobo10b2o5b2o14bo3b3o$17b2o8bobo7bo19b3o21bo18bob2o17bo2bo17b3o18b
3o19bo344bobo3bo2bo$38bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o
19bo311bo$78bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo265bo3bo
$122bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo223bo3bo$39b3o
19bo100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo185bo$2bo35bo
2bo18b3o18b3o19bo102bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo
140bobo$b3o37bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo
18bob2o17bo2bo17b3o18b3o19bo$2obo37bo19b3o17bo19b2obo17bo2bo18b3o18b3o
19bo102bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo$3o35bobo20b
2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o18bo19b3o21bo
18bob2o17bo2bo17b3o18b3o19bo13bo$3o17bo61bobo17b2o21bo19b3o17bo19b2obo
17bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o17bo19b2obo17bo2bo18b3o11b3o
$b2o16b3o100bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o18b3o19bo100bobo
20b2o18bo19b3o21bo18bob2o9b2obo$18b2obo144bobo17b2o21bo19b3o17bo19b2ob
o17bo2bo18b3o18b3o19bo102bobo17b2o21bo19b3o9b3o$18b3o185bobo20b2o18bo
19b3o21bo18bob2o17bo2bo17b3o18b3o19bo100bobo20b2o11b2o$19b2o229bobo17b
2o21bo19b3o17bo19b2obo17bo2bo18b3o18b3o19bo$290bobo20b2o18bo19b3o21bo
18bob2o17bo2bo17b3o18b3o19bo$334bobo17b2o21bo19b3o17bo19b2obo17bo2bo
18b3o18b3o19bo$374bobo20b2o18bo19b3o21bo18bob2o17bo2bo17b3o$418bobo17b
2o21bo19b3o17bo19b2obo$14bo443bobo20b2o18bo19b3o$13b3o486bobo17b2o$12b
2obo$12b3o$13b2o10$569bo19b3o$527bo19b3o18b3o18bo2bo4bo$485bo19b3o18b
3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o$443bo19b3o18b3o18bo2bo4bo6bo5bob
2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o$401bo19b3o18b3o17bo2bo
5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo4b2o5bo
6bo7bobo4b3o$359bo19b3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o
5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o$317bo
19b3o18b3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b
2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo$275bo19b
3o18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o
3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo$233bo19b3o18b
3o17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2ob
o4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo$191bo19b3o18b3o18b
o2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o
6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo143b3o$149bo19b3o18b3o
17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo
4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo183bo2bo$107bo19b3o
18b3o18bo2bo4bo6bo5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3b
ob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo227bo$85b3o18b3o
17bo2bo5bo6bo4b2obo4b3o4b3o4bo6b3o4b3o5b3o2bo2bo3bo2bo6bo3b2obo3b2obo
4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bobo267bo$85bo2bo4bo6bo
5bob2o3b3o4b3o6bo4b3o4b3o3b3o5bo2bo3bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bob
o4b3o4b3o12bo6bo14b2o5b2o10bobo4bobo312bobo$78b3o4bo6b3o4b3o5b3o2bo2bo
3bo2bo6bo3b2obo3b2obo4b2o5bo6bo7bobo4b3o4b3o12bo6bo11b2o5b2o13bobo4bob
o333b3o8bo$78bo2bo3bo6bob2o3bob2o4b2o6bo6bo3bobo4b3o4b3o12bo6bo14b2o5b
2o10bobo4bobo346bo19b3o7bo2bo7b3o$78bo7bobo4b3o4b3o12bo6bo11b2o5b2o13b
obo4bobo344bo19b3o18b3o17bo2bo10bo6b2obo$72b3o3bo14b2o5b2o10bobo4bobo
346bo19b3o18b3o18bo2bo17bob2o19bo10bo6b3o$72bo2bo3bobo344bo19b3o18b3o
17bo2bo17b2obo18bo21b3o19bo7bobo8b2o$72bo311bo19b3o18b3o18bo2bo17bob2o
19bo17b3o19bo21b2o17bobo$72bo3bo265bo19b3o18b3o17bo2bo17b2obo18bo21b3o
19bo18b2o20bobo$72bo3bo223bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o
17bobo$72bo185bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo
19b3o$73bobo140bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo102bo
19b3o18b3o18bo2bo35bo$174bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o
20bobo100bo19b3o18b3o17bo2bo17b2obo18bo37b3o$132bo19b3o18b3o18bo2bo17b
ob2o19bo17b3o19bo21b2o17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo
37bob2o$76bo13bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100bo
19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo35b3o$75b3o11b3o18bo2b
o17bob2o19bo17b3o19bo21b2o17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o
19bo21b2o17bobo61bo17b3o$75bob2o9b2obo18bo21b3o19bo18b2o20bobo100bo19b
3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo100b3o16b2o$76b3o9b3o19bo
21b2o17bobo102bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo144bob
2o$76b2o11b2o20bobo100bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bo
bo185b3o$172bo19b3o18b3o18bo2bo17bob2o19bo17b3o19bo21b2o17bobo229b2o$
130bo19b3o18b3o17bo2bo17b2obo18bo21b3o19bo18b2o20bobo$88bo19b3o18b3o
18bo2bo17bob2o19bo17b3o19bo21b2o17bobo$87b3o17bo2bo17b2obo18bo21b3o19b
o18b2o20bobo$87bob2o19bo17b3o19bo21b2o17bobo$88b3o19bo18b2o20bobo443bo
$88b2o17bobo486b3o$596bob2o$597b3o$597b2o!

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Re: Helix Thread

Post by HartmutHolzwart » July 21st, 2025, 9:40 am

Could one of you experts give a try a new x6 helix for the original c102/270 caterpillar, using a few Coe ships to decrease the overall number of *WSS? In order to be 17c/45 x6 buildable, the overlap between the tracks of the *WSS should be minimal and especially the Coe ships should be isolated from the rest.

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Re: Helix Thread

Post by yyh_baboon » January 16th, 2026, 3:51 am

Some weird helix component that duplicates two gliders in same direction:

Code: Select all

 x = 25, y = 14, rule = B3/S23
b3o$5o$3ob2o$3b2o$24bo$22bobo$23b2o2$17b4o$16b6o$11b2o3b4ob2o$8b3ob2o
6b2o$8b5o$9b3o!
Do anyone have a P38 edge block factory?
Currently hand-searching spaceships.
Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!

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Re: Helix Thread

Post by codeholic » February 3rd, 2026, 4:38 pm

EvinZL wrote:
July 17th, 2025, 2:28 pm
Here is, at first glance, a perfectly normal helix, all isolated xWSSes... On second glance, the straightways slope the wrong way... and the speed is 0.466c, which is a bit greater than 11c/24...
It's quite impressive, to be honest. I haven't been tracking the forums very carefully in the last years, but if I'm not mistaken, it's the third principally different way to build helices faster than c/4 after the original Caterpillar's helix and Simkin's blinker fuse helix (which is doomed to have very large periods and thus not really practical, in my humble opinion). Also, it has strong vibes of Sphenocorona's helix for B38/S23.

I wonder, have you found this helix by hand or with a script? In order to make this helix building method more usable, one may need to do an exhaustive search for xWSS/B-heptomino interactions to reduce the longitudinal size of the convoy, so that one can efficiently use it for shorter periods.
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Re: Helix Thread

Post by codeholic » February 3rd, 2026, 5:14 pm

HartmutHolzwart wrote:
July 21st, 2025, 9:40 am
Could one of you experts give a try a new x6 helix for the original c102/270 caterpillar, using a few Coe ships to decrease the overall number of *WSS? In order to be 17c/45 x6 buildable, the overlap between the tracks of the *WSS should be minimal and especially the Coe ships should be isolated from the rest.
I think that using Coe ships is not going to reduce the size of the helix. I remember building a smaller x6 helix back in 2013 with 18 xWSS, and I believe this is as good as it gets for x6 (and if you're curious about larger periods, it's going to be even more). Maybe one could cut down one more xWSS, if one tries hard. The reason is that the shortest path for 17c/45 consists of a minimum of 8 convoys of 2 xWSS each, one more xWSS is needed to yield a glider, and another one to clean up debris on the other side of the helix (that's the one that may possibly be spared).

I think that the main reduction of the 17c/45 Caterpillar should come not from reducing the number of convoys, but from shortening the period, or maybe even more importantly, from building the helix and fanout devices with edge-shooting slow salvos. Thus, I would say the most important requirement for the helix is slow-salvo constructability, and the second is the period (the shorter, the better). I recall the x5 helix I found was tricky to build even with traditional methods, so maybe x6 is the way to go after all.
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Re: Helix Thread

Post by EvinZL » February 3rd, 2026, 5:24 pm

codeholic wrote:
February 3rd, 2026, 4:38 pm
EvinZL wrote:
July 17th, 2025, 2:28 pm
Here is, at first glance, a perfectly normal helix, all isolated xWSSes... On second glance, the straightways slope the wrong way... and the speed is 0.466c, which is a bit greater than 11c/24...
It's quite impressive, to be honest. I haven't been tracking the forums very carefully in the last years, but if I'm not mistaken, it's the third principally different way to build helices faster than c/4 after the original Caterpillar's helix and Simkin's blinker fuse helix (which is doomed to have very large periods and thus not really practical, in my humble opinion). Also, it has strong vibes of Sphenocorona's helix for B38/S23.

I wonder, have you found this helix by hand or with a script? In order to make this helix building method more usable, one may need to do an exhaustive search for xWSS/B-heptomino interactions to reduce the longitudinal size of the convoy, so that one can efficiently use it for shorter periods.
It was completely manual. I originally knew about the fleet-like frontend reaction that turrns an LWSS into a B-heptomino, and then built the helix around that. Because I didn't have a searcher, there are a lot of suboptimal parts: the reaction takes up a lot of vertical space, the turnaround is very slow, and the straightways could be faster. But it worked for the proof-of-concept.

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Re: Helix Thread

Post by codeholic » February 4th, 2026, 2:02 pm

codeholic wrote:
February 3rd, 2026, 5:14 pm
HartmutHolzwart wrote:
July 21st, 2025, 9:40 am
Could one of you experts give a try a new x6 helix for the original c102/270 caterpillar, using a few Coe ships to decrease the overall number of *WSS? In order to be 17c/45 x6 buildable, the overlap between the tracks of the *WSS should be minimal and especially the Coe ships should be isolated from the rest.
I think that using Coe ships is not going to reduce the size of the helix.
When I said that, I didn't realize there had been a well-known Coe ship glider turner (I think I even saw it once, but forgot that it existed).

This changes the game entirely. Here's a 17c/45 x6 helix with 13 xWSS + 1 Coe ship per period:

Code: Select all

x = 68, y = 332, rule = B3/S23
8b3o$10bo$9bo5$25bo$24b3o$23b2obo4b3o$23b3o4bo2bo7bo$24b2o7bo6b3o$29bo
3bo5b2obo4b3o$29bo3bo5b3o4bo2bo$33bo6b2o7bo$30bobo12bo3bo$45bo3bo11bo$
49bo10b3o$46bobo10b2obo$59b3o$59b3o$60b2o3$54bo$45bo7b3o$44b3o6bob2o$
37b3o4bob2o6b3o$29bo7bo2bo4b3o6b2o$28b3o6bo7b2o18bo$21b3o4bob2o5bo3bo
22b3o$8bo12bo2bo4b3o5bo3bo21b2obo$b3o3b3o11bo7b2o6bo25b3o$o2bo2b2obo
11bo3bo12bobo22b3o$3bo2b3o12bo3bo38b2o$3bo2b3o12bo$obo4b2o13bobo$8bo2$
6b3o$25bo$24b3o$24bob2o3b3o$25b3o3bo2bo6bo$25b2o4bo8b3o$4b2o25bo3bo4bo
b2o3b3o$13bo17bo3bo5b3o3bo2bo$7b2o3b3o16bo9b2o4bo$11b2obo17bobo12bo3bo
$11b3o33bo3bo9bo$12b2o33bo12b3o$6bo41bobo9bob2o$5b3o53b3o$4b2obo53b3o$
4b3o54b2o$5b2o2$54bo$45bo7b3o$44b3o5b2obo$37b3o3b2obo5b3o$29bo6bo2bo3b
3o7b2o$28b3o8bo4b2o19bo$21b3o3b2obo4bo3bo24b3o$8bo11bo2bo3b3o5bo3bo24b
ob2o$b3o3b3o13bo4b2o9bo25b3o$bo2bo2bob2o8bo3bo12bobo26b3o$bo6b3o8bo3bo
41b2o$bo3bo2b3o12bo$2bo2bo2b3o9bobo$7bobo$7b3o$8bo$7b2o16bo$24b3o$23b
2obo4b3o$23b3o4bo2bo7bo$24b2o7bo6b3o$29bo3bo5b2obo4b3o$13bo15bo3bo5b3o
4bo2bo$12b3o18bo6b2o7bo$12bob2o14bobo12bo3bo$13b3o29bo3bo11bo$13b2o34b
o10b3o$6bo39bobo10b2obo$5b3o51b3o$5bob2o50b3o$6b3o51b2o$6b2o2$54bo$45b
o7b3o$44b3o6bob2o$37b3o4bob2o6b3o$29bo7bo2bo4b3o6b2o$28b3o6bo7b2o18bo$
21b3o4bob2o5bo3bo22b3o$8bo12bo2bo4b3o5bo3bo21b2obo$b3o3b3o11bo7b2o6bo
25b3o$o2bo2b2obo11bo3bo12bobo22b3o$3bo2b3o12bo3bo38b2o$3bo2b3o12bo$obo
4b2o13bobo$8bo2$6b3o$7bo17bo$24b3o$24bob2o3b3o$25b3o3bo2bo6bo$25b2o4bo
8b3o$31bo3bo4bob2o3b3o$13bo17bo3bo5b3o3bo2bo$12b3o16bo9b2o4bo$11b2obo
17bobo12bo3bo$11b3o33bo3bo9bo$12b2o33bo12b3o$6bo41bobo9bob2o$5b3o53b3o
$4b2obo53b3o$4b3o54b2o$5b2o2$54bo$45bo7b3o$44b3o5b2obo$37b3o3b2obo5b3o
$29bo6bo2bo3b3o7b2o$28b3o8bo4b2o19bo$21b3o3b2obo4bo3bo24b3o$8bo11bo2bo
3b3o5bo3bo24bob2o$b3o3b3o13bo4b2o9bo25b3o$bo2bo2bob2o8bo3bo12bobo26b3o
$bo6b3o8bo3bo41b2o$bo3bo2b3o12bo$2bo2bo2b3o9bobo$7bobo$7b3o$6bo2bo$6bo
2bo15bo$6bobo15b3o$7bo15b2obo4b3o$23b3o4bo2bo7bo$24b2o7bo6b3o$29bo3bo
5b2obo4b3o$13bo15bo3bo5b3o4bo2bo$12b3o18bo6b2o7bo$12bob2o14bobo12bo3bo
$13b3o29bo3bo11bo$13b2o34bo10b3o$6bo39bobo10b2obo$5b3o51b3o$5bob2o50b
3o$6b3o51b2o$6b2o2$54bo$45bo7b3o$44b3o6bob2o$37b3o4bob2o6b3o$29bo7bo2b
o4b3o6b2o$28b3o6bo7b2o18bo$21b3o4bob2o5bo3bo22b3o$8bo12bo2bo4b3o5bo3bo
21b2obo$b3o3b3o11bo7b2o6bo25b3o$o2bo2b2obo11bo3bo12bobo22b3o$3bo2b3o
12bo3bo38b2o$3bo2b3o12bo$obo4b2o13bobo$8bo$5bo$5bo3b2o$25bo$5b2obobo
13b3o$5b2ob2o14bob2o3b3o$7bo17b3o3bo2bo6bo$25b2o4bo8b3o$31bo3bo4bob2o
3b3o$13bo17bo3bo5b3o3bo2bo$12b3o16bo9b2o4bo$11b2obo17bobo12bo3bo$11b3o
33bo3bo9bo$12b2o33bo12b3o$6bo41bobo9bob2o$5b3o53b3o$4b2obo53b3o$4b3o
54b2o$5b2o2$54bo$45bo7b3o$44b3o5b2obo$37b3o3b2obo5b3o$29bo6bo2bo3b3o7b
2o$28b3o8bo4b2o19bo$21b3o3b2obo4bo3bo24b3o$8bo11bo2bo3b3o5bo3bo24bob2o
$b3o3b3o13bo4b2o9bo25b3o$bo2bo2bob2o8bo3bo12bobo26b3o$bo6b3o8bo3bo41b
2o$bo3bo2b3o12bo$2bo2bo2b3o9bobo$7bobo$7b3o$8bo$25bo$5b3o16b3o$4bo3bo
14b2obo4b3o$5bo3bo13b3o4bo2bo7bo$6b4o14b2o7bo6b3o$7bo21bo3bo5b2obo4b3o
$13bo15bo3bo5b3o4bo2bo$12b3o18bo6b2o7bo$12bob2o14bobo12bo3bo$13b3o29bo
3bo11bo$13b2o34bo10b3o$6bo39bobo10b2obo$5b3o51b3o$5bob2o50b3o$6b3o51b
2o$6b2o2$54bo$45bo7b3o$44b3o6bob2o$37b3o4bob2o6b3o$29bo7bo2bo4b3o6b2o$
28b3o6bo7b2o18bo$21b3o4bob2o5bo3bo22b3o$8bo12bo2bo4b3o5bo3bo21b2obo$b
3o3b3o11bo7b2o6bo25b3o$o2bo2b2obo11bo3bo12bobo22b3o$3bo2b3o12bo3bo38b
2o$3bo2b3o12bo$obo4b2o13bobo$8bo2$9bo$9bo15bo$5bo18b3o$5bo18bob2o3b3o$
4bo3bo16b3o3bo2bo6bo$5bo3bo15b2o4bo8b3o$31bo3bo4bob2o3b3o$6b3o4bo17bo
3bo5b3o3bo2bo$12b3o16bo9b2o4bo$11b2obo17bobo12bo3bo$11b3o33bo3bo9bo$
12b2o33bo12b3o$6bo41bobo9bob2o$5b3o53b3o$4b2obo53b3o$4b3o54b2o$5b2o2$
54bo$45bo7b3o$44b3o5b2obo$37b3o3b2obo5b3o$29bo6bo2bo3b3o7b2o$28b3o8bo
4b2o19bo$21b3o3b2obo4bo3bo24b3o$8bo11bo2bo3b3o5bo3bo24bob2o$b3o3b3o13b
o4b2o9bo25b3o$bo2bo2bob2o8bo3bo12bobo26b3o$bo6b3o8bo3bo41b2o$bo3bo2b3o
12bo$2bo2bo2b3o9bobo$7bobo$7b2o2$25bo$24b3o$23b2obo4b3o$4b2o17b3o4bo2b
o7bo$4b2o18b2o7bo6b3o$5b3o21bo3bo5b2obo4b3o$6b3o4bo15bo3bo5b3o4bo2bo$
12b3o18bo6b2o7bo$12bob2o14bobo12bo3bo$13b3o29bo3bo11bo$13b2o34bo10b3o$
6bo39bobo10b2obo$5b3o51b3o$5bob2o50b3o$6b3o51b2o$6b2o2$54bo$45bo7b3o$
44b3o6bob2o$37b3o4bob2o6b3o$29bo7bo2bo4b3o6b2o$28b3o6bo7b2o18bo$21b3o
4bob2o5bo3bo22b3o$8bo12bo2bo4b3o5bo3bo21b2obo$b3o3b3o11bo7b2o6bo25b3o$
o2bo2b2obo11bo3bo12bobo22b3o$3bo2b3o12bo3bo38b2o$3bo2b3o12bo$obo4b2o
13bobo$8bo2$6b3o$25bo$24b3o$24bob2o3b3o$25b3o3bo2bo6bo$25b2o4bo8b3o$4b
2o25bo3bo4bob2o3b3o$13bo17bo3bo5b3o3bo2bo$7b2o3b3o16bo9b2o4bo$11b2obo
17bobo12bo3bo$11b3o33bo3bo9bo$12b2o33bo12b3o$6bo41bobo9bob2o$5b3o53b3o
$4b2obo53b3o$4b3o54b2o$5b2o2$54bo$53b3o$52b2obo$52b3o$53b2o$65bo$64b3o
$64bob2o$65b3o$65b3o$65b2o!
It seems the spaceships are spread out enough, so it may be possible to construct them with relatively cheap edge-shooting slow salvos.
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Re: Helix Thread

Post by dvgrn » February 4th, 2026, 3:22 pm

codeholic wrote:
February 4th, 2026, 2:02 pm
It seems the spaceships are spread out enough, so it may be possible to construct them with relatively cheap edge-shooting slow salvos.
Someone might have to write some new code to dig up slow salvos that can edge-shoot spaceships. The search for those slow-salvo recipes for the Centipede project was done by oblique, who hasn't logged in to the forums in over a decade. Their search code was written with hard-coded assumptions about the 31c/240 Centipede. Different parameters would be needed for a 17c/45 Caterpillar search, and the code never got beyond a "first prototype" stage.

The component spaceships in a Coe ship can be constructed one at a time, and then activated by two colliding gliders. it will be interesting to see if we can find a slow-salvo substitute for those two gliders. In a pinch we can slow-construct an OTT that makes those two gliders, but it seems fairly likely that there's something much cheaper.

E.g., if this boat can be pushed into place with a slow salvo without any intermediate targets ever extending into columns leftward of it, I think that would work, leaving a new safe target for future slow salvo gliders to start building the next edge-shot xWSS:

Code: Select all

x = 21, y = 21, rule = LifeHistory
18.A.A$18.2A$19.A8$14.A$13.A.A$13.2A3$.A4.3A$3A2.A2.A$A.2A4.A$.4A3.A$
.2A5.A$5.A.A!
Preferably the slow salvo recipe shouldn't even have any temporary active reactions that stick out into those columns left of the boat. They might happen to stay out of the way of the constructed Coe ships, but since we won't be able to easily control the timing of the incoming slow-salvo gliders it will be a bit of a dice roll.

EDIT: Oops, no, it actually might be fairly tricky, unless another activation can be found or the LWSS that's following along can be moved somewhere else:

Code: Select all

x = 22, y = 157, rule = LifeHistory
19.A.A$19.2A$20.A8$15.A$14.A.A$14.2A3$2.A4.3A$.3A2.A2BA$BAB2A.3BAB$2B
4A3BAB$2B2AB.3BA2B$6BABA3B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B
$12B$12B$12B$5B3A4B$4BA2BA4B$7BA4B$7BA4B$4BABA5B$12B$12B$12B$12B$12B$
12B$12B$12B$2BA4B3A2B$B3A3BA2BAB$2ABA3BA4B$3A4BA3BA$B2A4BA4B$8BABAB$12B
$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$5B3A4B$5BA2BA3B$
5BA6B$5BA6B$6BABA3B$12B$12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B3A2BA2B
A2B$BAB2A4BA2B$2B4A3BA2B$2B2A5BA2B$6BABA3B$12B$12B$12B$12B$12B$12B$12B
$12B$12B$12B$12B$12B$12B$12B$5B3A4B$4BA2BA4B$7BA4B$7BA4B$4BABA5B$12B$
12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B3A3BA2BAB$2ABA3BA4B$3A4BA3BA$B
2A4BA4B$8BABAB$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B
$5B3A4B$5BA2BA3B$5BA6B$5BA6B$6BABA3B$12B$12B$12B$12B$12B$12B$12B$12B$
2BA4B3A2B$B3A2BA2BA2B$BAB2A4BA2B$2B4A3BA2B$2B2A5BA2B$6BABA3B$12B$12B$
12B$12B!
Some modification of G+beehive might actually work better -- it looks messier, but a few more suppressing still lifes could probably fix that, and it stays out of the way of that following LWSS:

Code: Select all

x = 22, y = 157, rule = LifeHistory
19.A.A$19.2A$20.A8$15.A$14.A.A$14.A.A$15.A2$2.A4.3A$.3A2.A2BA$BAB2A.3B
AB$2B4A3BAB$2B2AB.3BA2B$6BABA3B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B
$12B$12B$12B$12B$5B3A4B$4BA2BA4B$7BA4B$7BA4B$4BABA5B$12B$12B$12B$12B$
12B$12B$12B$12B$2BA4B3A2B$B3A3BA2BAB$2ABA3BA4B$3A4BA3BA$B2A4BA4B$8BAB
AB$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$5B3A4B$5BA
2BA3B$5BA6B$5BA6B$6BABA3B$12B$12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B
3A2BA2BA2B$BAB2A4BA2B$2B4A3BA2B$2B2A5BA2B$6BABA3B$12B$12B$12B$12B$12B
$12B$12B$12B$12B$12B$12B$12B$12B$12B$5B3A4B$4BA2BA4B$7BA4B$7BA4B$4BAB
A5B$12B$12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B3A3BA2BAB$2ABA3BA4B$3A
4BA3BA$B2A4BA4B$8BABAB$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B
$12B$12B$5B3A4B$5BA2BA3B$5BA6B$5BA6B$6BABA3B$12B$12B$12B$12B$12B$12B$
12B$12B$2BA4B3A2B$B3A2BA2BA2B$BAB2A4BA2B$2B4A3BA2B$2B2A5BA2B$6BABA3B$
12B$12B$12B$12B!
If I can find this kind of thing by hand in a few minutes, then there must be a lot of workable methods out there:

Code: Select all

x = 22, y = 157, rule = LifeHistory
19.A.A$19.2A$20.A6$20.2A$20.2A$15.A$14.A.A$14.A.A$15.A2$2.A4.3A6.A$.3A
2.A2BA6.A$BAB2A.3BAB5.A$2B4A3BAB$2B2AB.3BA2B$6BABA3B$12B$12B$12B$12B$
12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$5B3A4B$4BA2BA4B$7BA4B$7BA4B$4B
ABA5B$12B$12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B3A3BA2BAB$2ABA3BA4B$
3A4BA3BA$B2A4BA4B$8BABAB$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$
12B$12B$12B$5B3A4B$5BA2BA3B$5BA6B$5BA6B$6BABA3B$12B$12B$12B$12B$12B$12B
$12B$12B$2BA4B3A2B$B3A2BA2BA2B$BAB2A4BA2B$2B4A3BA2B$2B2A5BA2B$6BABA3B
$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$12B$5B3A4B$4BA2B
A4B$7BA4B$7BA4B$4BABA5B$12B$12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B3A
3BA2BAB$2ABA3BA4B$3A4BA3BA$B2A4BA4B$8BABAB$12B$12B$12B$12B$12B$12B$12B
$12B$12B$12B$12B$12B$12B$12B$5B3A4B$5BA2BA3B$5BA6B$5BA6B$6BABA3B$12B$
12B$12B$12B$12B$12B$12B$12B$2BA4B3A2B$B3A2BA2BA2B$BAB2A4BA2B$2B4A3BA2B
$2B2A5BA2B$6BABA3B$12B$12B$12B$12B!
Ultimately the most efficient slow-salvo construction of that helix would probably build the Coe ship's initial LWSS, then add a sabotaged MWSS in a single step instead of sabotaging it later. But finding that recipe will _definitely_ take some clever new search code.

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Re: Helix Thread

Post by codeholic » February 4th, 2026, 5:19 pm

dvgrn wrote:
February 4th, 2026, 3:22 pm
EDIT: Oops, no, it actually might be fairly tricky, unless another activation can be found or the LWSS that's following along can be moved somewhere else:
There are a plethora of options, these two worked for the boat:

Code: Select all

x = 122, y = 36, rule = B3/S23
22bo$22bobo$22b2o8$18bo$17bobo$17b2o2$11bo49bo49bo$4b3o3b3o41b3o3b3o
41b3o3b3o$4bo2bo2bob2o40bo2bo2bob2o40bo2bo2bob2o$4bo6b3o40bo6b3o40bo6b
3o$4bo3bo2b3o40bo3bo2b3o40bo3bo2b3o$5bo2bo2b2o42bo2bo2b3o5b2o34bo2bo2b
3o5b2o$60bobo6bobo38bobo6bobo$60b3o6bo40b3o6bo$61bo49bo$60b2o48b2o5$2b
o49bo49bo$b3o47b3o11b3o33b3o11b3o$2obo46b2obo10bo2bo32b2obo10bo2bo$3o
47b3o14bo32b3o14bo$3o47b3o10bo3bo32b3o10bo3bo$3o47b3o14bo32b3o10bo3bo$
b2o48b2o11bobo34b2o14bo$114bobo!
If those don't work for any reason, here is my gencols script:

Code: Select all

diff -urN .empty/30001_g47.life 30001/30001_g47.life
--- .empty/30001_g47.life	1970-01-01 01:00:00.000000000 +0100
+++ 30001/30001_g47.life	2026-02-04 14:02:35.209185575 +0100
@@ -0,0 +1,11 @@
+.
+
+
+
+
+
+
+
+........**
+........*.*
+........*
diff -urN .empty/30001_g79.life 30001/30001_g79.life
--- .empty/30001_g79.life	1970-01-01 01:00:00.000000000 +0100
+++ 30001/30001_g79.life	2026-02-04 13:43:16.165629316 +0100
@@ -0,0 +1,3 @@
+**
+*.*
+*
diff -urN .empty/30001.life 30001/30001.life
--- .empty/30001.life	1970-01-01 01:00:00.000000000 +0100
+++ 30001/30001.life	2026-02-04 13:54:10.943012303 +0100
@@ -0,0 +1,39 @@
+*
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+..........*
+.........***...***
+........**.*..*..*
+........***......*
+........***..*...*
+.**.....***..*..*
+*.*......*.*
+..*......***
+..........*
+..........**
diff -urN .empty/30001.sh 30001/30001.sh
--- .empty/30001.sh	1970-01-01 01:00:00.000000000 +0100
+++ 30001/30001.sh	2026-02-04 19:06:35.094779301 +0100
@@ -0,0 +1,3 @@
+#!/bin/bash
+./gencols -pat 30001/30001.life obj/allss_n.list -nph 4 -tc 18 30 -gen 47 -test1 30001/30001_g47.life > 30001/r1.col
+./gencols -pat 30001/r1.col obj/allss_n.list -nph 4 -tc 16 38 -gen 47 -test1 30001/30001_g47.life -filt p -leq 0 > 30001/r2.col
And these are the results of the above script:

Code: Select all

x = 722, y = 56, rule = B3/S23
o49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo29$10bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo$9b3o3b3o41b3o3b3o
41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b
3o41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b3o41b3o3b3o$8b2obo2bo2bo40b2obo2bo
2bo40b2obo2bo2bo40b2obo2bo2bo40b2obo2bo2bo40b2obo2bo2bo40b2obo2bo2bo
40b2obo2bo2bo40b2obo2bo2bo40b2obo2bo2bo40b2obo2bo2bo40b2obo2bo2bo40b2o
bo2bo2bo40b2obo2bo2bo40b2obo2bo2bo$8b3o6bo40b3o6bo40b3o6bo40b3o6bo40b
3o6bo40b3o6bo40b3o6bo40b3o6bo40b3o6bo40b3o6bo40b3o6bo40b3o6bo40b3o6bo
40b3o6bo40b3o6bo$8b3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b3o2bo3b
o40b3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b
3o2bo3bo40b3o2bo3bo40b3o2bo3bo40b3o2bo3bo$b2o5b3o2bo2bo34b2o5b3o2bo2bo
34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o
2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b
2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo34b2o5b3o2bo2bo$obo6bobo38bo
bo6bobo38bobo6bobo38bobo6bobo38bobo6bobo38bobo6bobo38bobo6bobo38bobo6b
obo38bobo6bobo38bobo6bobo38bobo6bobo38bobo6bobo38bobo6bobo38bobo6bobo
38bobo6bobo$2bo6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o40b
o6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o40bo6b3o$10bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo$10b2o48b2o48b2o
48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o5$69bo649b
o$5bo48b3o11b3o134bo99bo49bo49bo49bo49bo49bo49bo49bo48b3o11b3o$4b3o47b
o2bo10bob2o32b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o47b
3o47bo2bo10bob2o$3b2obo47bo14b3o31bo2bo46bo2bo46b2obo46bo2bo46b2obo46b
2obo46b2obo46b2obo46b2obo46b2obo46b2obo46b2obo47bo14b3o$3b3o9bo38bo3bo
10b3o34bo49bo46b3o9bo40bo46b3o9bo37b3o47b3o47b3o9bo37b3o47b3o47b3o9bo
37b3o9bo38bo3bo10b3o$4b2o8b3o37bo3bo10b3o34bo5bo43bo47b2o8b3o39bo5bo
41b2o8b3o37b2o48b2o48b2o8b3o37b2o48b2o48b2o8b3o37b2o8b3o37bo14b3o$14bo
b2o36bo14b2o32bobo5b3o39bobo58bob2o35bobo5b3o50bob2o44bo49bo51bob2o44b
o49bo51bob2o46bob2o37bobo11b2o$15b3o37bobo53bob2o51bo48b3o43bob2o50b3o
43b3o47b3o51b3o43b3o47b3o51b3o47b3o$15b3o94b3o50b3o47b2o45b3o50b3o43bo
b2o45b2obo51b2o44bob2o45b2obo51b3o47b3o$15b3o94b2o51bob2o93b2o51b3o44b
3o45b3o99b3o45b3o52b2o48b2o$15b2o149b3o146b2o45b3o45b3o99b2o47b2o$166b
3o193b3o45b3o$166b2o194b2o47b2o!
Ivan Fomichev

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Re: Helix Thread

Post by codeholic » February 5th, 2026, 1:35 am

Here is a slightly shorter one, 12 xWSS + Coe ship:

Code: Select all

x = 66, y = 184, rule = B3/S23
54bo$24bo28b3o3b3o$16b2o5b3o12bo13b2obo2bo2bo$15bobo5bob2o3b3o4b3o12b
3o6bo$17bo6b3o3bo2bo3bob2o3b3o5b3o2bo3bo$24b2o4bo7b3o3bo2bo4b3o2bo2bo$
30bo3bo3b2o4bo8bobo$30bo3bo9bo3bo5b2o$30bo13bo3bo$31bobo10bo$45bobo2$
57b2o$57b2o$55b3o5bo$48b3o3b3o5b3o$48bo2bo10bob2o$48bo14b3o$48bo3bo10b
3o$48bo14b3o$49bobo11b2o$25bo$24b3o$7b3o7b3o4bob2o$6bo2bo7bo2bo4b3o$9b
o7bo7b2o$5bo3bo7bo3bo$5bo3bo7bo3bo$9bo7bo$6bobo9bobo4$54bo$14bo9bo28b
3o3b3o$2b3o8b3o7b3o12bo14bob2o2bo2bo$2bo2bo7bob2o5b2obo4b3o4b3o14b3o2b
o$2bo11b3o5b3o4bo2bo3b2obo4b3o7b3o2bo$2bo3bo7b3o6b2o7bo3b3o4bo2bo7b2o
4bobo$2bo3bo7b3o11bo3bo4b2o7bo7bo$2bo11b2o12bo3bo9bo3bo$3bobo26bo9bo3b
o7b3o$29bobo14bo$43bobo4$9bo47b2o4bo$8b3o37b3o11b3o$7b2obo36bo2bo3b2o
5b2obo$7b3o40bo10b3o$8b2o36bo3bo10b3o$50bo10b3o$47bobo12b2o$25bo$24b3o
$7b3o7b3o3b2obo$7bo2bo5bo2bo3b3o$7bo11bo4b2o$7bo3bo3bo3bo$7bo3bo3bo3bo
$7bo11bo$8bobo5bobo4$54bo$14bo9bo28b3o3b3o$2b3o8b3o7b3o12bo13b2obo2bo
2bo$bo2bo7b2obo7bob2o3b3o4b3o12b3o6bo$4bo7b3o9b3o3bo2bo3bob2o3b3o5b3o
2bo3bo$o3bo7b3o9b2o4bo7b3o3bo2bo4b3o2bo2bo$o3bo7b3o15bo3bo3b2o4bo8bobo
$4bo8b2o15bo3bo9bo3bo4b3o$bobo26bo13bo3bo5bo$31bobo10bo9b2o$45bobo4$9b
o53bo$8b3o37b3o11b3o$8bob2o36bo2bo10bob2o$9b3o36bo14b3o$9b2o37bo3bo10b
3o$48bo14b3o$49bobo11b2o$25bo$24b3o$7b3o7b3o4bob2o$6bo2bo7bo2bo4b3o$9b
o7bo7b2o$5bo3bo7bo3bo$5bo3bo7bo3bo$9bo7bo$6bobo9bobo4$54bo$14bo9bo28b
3o3b3o$2b3o8b3o7b3o12bo14bob2o2bo2bo$2bo2bo7bob2o5b2obo4b3o4b3o14b3o2b
o$2bo11b3o5b3o4bo2bo3b2obo4b3o7b3o2bo$2bo3bo7b3o6b2o7bo3b3o4bo2bo7b2o
4bobo$2bo3bo7b3o11bo3bo4b2o7bo7bo$2bo11b2o12bo3bo9bo3bo$3bobo26bo9bo3b
o7b3o$29bobo14bo8bo$43bobo4$9bo53bo$8b3o37b3o11b3o$7b2obo36bo2bo10b2ob
o$7b3o40bo10b3o$8b2o36bo3bo10b3o$50bo10b3o$47bobo12b2o$25bo$24b3o$7b3o
7b3o3b2obo$7bo2bo5bo2bo3b3o$7bo11bo4b2o$7bo3bo3bo3bo$7bo3bo3bo3bo$7bo
11bo$8bobo5bobo4$54bo$14bo9bo28b3o3b3o$2b3o8b3o7b3o12bo13b2obo2bo2bo$b
o2bo7b2obo7bob2o3b3o4b3o12b3o6bo$4bo7b3o9b3o3bo2bo3bob2o3b3o5b3o2bo3bo
$o3bo7b3o9b2o4bo7b3o3bo2bo4b3o2bo2bo$o3bo7b3o15bo3bo3b2o4bo8bobo$4bo8b
2o15bo3bo9bo3bo4b3o$bobo26bo13bo3bo4bo2bo$31bobo10bo8bo2bo$45bobo6bobo
$55bo3$9bo53bo$8b3o37b3o11b3o$8bob2o36bo2bo10bob2o$9b3o36bo14b3o$9b2o
37bo3bo10b3o$48bo14b3o$49bobo11b2o$25bo$24b3o$7b3o7b3o4bob2o$6bo2bo7bo
2bo4b3o$9bo7bo7b2o$5bo3bo7bo3bo$5bo3bo7bo3bo$9bo7bo$6bobo9bobo5$14bo$
2b3o8b3o$2bo2bo7bob2o$2bo11b3o$2bo3bo7b3o$2bo3bo7b3o$2bo11b2o$3bobo6$
9bo$8b3o$7b2obo$7b3o$8b2o!
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Re: Helix Thread

Post by codeholic » February 5th, 2026, 6:35 am

dvgrn wrote:
February 4th, 2026, 3:22 pm
Someone might have to write some new code to dig up slow salvos that can edge-shoot spaceships.
On second thought, slow salvo construction may be not the right idea, if the goal is to reduce the size of the spaceship. Also, reducing the helix from 21 to 14-ish xWSS at x6 doesn't really bring as much improvement as it may seem at first, because one needs 24 glider duplicators, each consisting of 2 spaceships, to build two initial p45 blinker tracks out of 24 gliders (2 gliders per blinker, times period of 6, times 2). In that sense, an x5 helix is a superior advancement.
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Re: Helix Thread

Post by dvgrn » February 5th, 2026, 8:49 am

codeholic wrote:
February 5th, 2026, 6:35 am
On second thought, slow salvo construction may be not the right idea, if the goal is to reduce the size of the spaceship.
It's a little bit difficult to tell how big the reduction would be, without building at least one of the xWSS slow-salvo construction units.

Still, the Caterpillar is made up of a long vertical pile of huge triangles, each of which is basically a pairing of backrakes and forerakes with a lot of blinker trail in between, only partly filled with rephasers. It looks like backrakes can be stacked together fairly closely, and the same with forerakes; it's just switching back and forth between rake types, to build something at a distance by colliding forward and backward streams, that takes a lot of space.

With a slow salvo construction we could still use both forerakes and backrakes when we needed them, but most of the helix construction could be a tight stack of one type of rake (not sure which type is cheaper). It always seemed to me that the result would be a really significantly smaller spaceship, even if no other improvements were made.

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Re: Helix Thread

Post by HartmutHolzwart » February 5th, 2026, 9:23 am

On second thought, slow salvo construction may be not the right idea, if the goal is to reduce the size of the spaceship. Also, reducing the helix from 21 to 14-ish xWSS at x6 doesn't really bring as much improvement as it may seem at first, because one needs 24 glider duplicators, each consisting of 2 spaceships, to build two initial p45 blinker tracks out of 24 gliders (2 gliders per blinker, times period of 6, times 2). In that sense, an x5 helix is a superior advancement.
- actually the 24 gliders are 12 on each side, so in terms of length of the caaterpillar, they only lead to 24 *WSS, no HWSS. One could try to hand-optimize construction of the specific *WSS-pair used most often. We some luck, you could overlap the fore- and backrakes to fold the traingels or use slow salvo there, as the timing costraints for insertion are not as tight as for the helix.
- in terms of length, the inner *WSS cost less anyway, as they are nearer to the spine. The farther away, the bigger the triangle

- an x5 design would save 4 *WSS in the fanout and reduce width and thus save addional length (if we use the traditional trioangle approach). However it suffers even more insertion time constraints

- we should really try to prototype a complete MWSS rake slow salvo style to get an impression, how much cheaper that would be in terms od length compared to the triangel approach

Last remark: If someone takes the effort to modify robocat by supplying it with the new helix (replacing the Coe ship cponvoy with it's *WSS predecessor,, then we could als produce a prototype to estimate the possible gains in more detail. It's not difficult, just tedious.

Hoping hti makes somes sense to you guys...

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