Discussion thread for infinite growth patterns

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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muzik
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Discussion thread for infinite growth patterns

Post by muzik » June 27th, 2016, 2:24 pm

I guess, since there was one for spaceships, one for infinite growth patterns wouldn't hurt.

Edit by Sokwe: before posting in this thread, consider these related threads:

For starters, how would I go about compressing down this period120 LWSS gun?

Code: Select all

x = 82, y = 69, rule = B3/S23
8b2o$8b2o3$11b2o$11b2o2$8b2o$8b2o$2o13b3o$bo13bo$bobo11b3o$2b2o$16bo$
16b3o$18b3o$18b2o21b3o$40bo2bo$43bo$43bo$40bobo4$19b2o$19b2o2$16b2o$
16b2o3$19b2o$19b2o40b2o$61b2o3$23b2o39b2o$23b2o39b2o2$61b2o$20b2o39b2o
$20b2o2$23b2o$23b2o4$61bobo$61bo$63bobo$65bo$22b2o40bobo11b2o$22b3o40b
2o11bobo$20b3o44bo12bo$20bo44b2o13b2o$6b2o57bo6b2o$5bobo11b3o50b2o$5bo
13bo$4b2o13b3o47b2o$12b2o55b2o$12b2o2$15b2o55b2o$15b2o55b2o3$12b2o$12b
2o!

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gmc_nxtman
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Re: Discussion thread for infinite growth patterns

Post by gmc_nxtman » June 27th, 2016, 5:20 pm

Well, rearranging the guns and moving them a bit closer to each other helps:

Code: Select all

x = 59, y = 58, rule = B3/S23
8b2o$8b2o3$11b2o$11b2o2$8b2o$8b2o$2o13b3o20b2o$bo13bo22b2o$bobo11b3o$
2b2o$16bo24b2o$16b3o22b2o$18b3o$18b2o18b2o$38b2o7$19b2o16b3o$19b2o17bo
b3o$37b2ob2o$16b2o19b2ob2o$16b2o21bo$55b2o$55bobo$19b2o36bo$19b2o36b2o
$49b2o$49b2o2$46b2o$30b2o5b2o7b2o$19b2o9b2o5b2o$20b2o$14b2o3bo13b2o14b
2o$12b2ob2o16b2o14b2o$12bo2b2o$12bo3bo$13b2obo$10b2o3bo$10b2o2$6b2o5b
2o$6b2o5b2o5$17b2o$18bo$15b3o$15bo!

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muzik
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Re: Discussion thread for infinite growth patterns

Post by muzik » June 27th, 2016, 5:23 pm

Certaintly does.

Even more:

Code: Select all

x = 59, y = 83, rule = B3/S23
32b3o$31bo2bo$34bo$34bo$31bobo21$8b2o$8b2o2$9bo$8b3o$8bo2bo$10b2o3$2o
36b2o$bo5b3o28b2o$bobo3bo2b2o$2b2o4b3o$9bo31b2o$41b2o2$38b2o$22bo15b2o
$23b2o$22b2o5$19b2o$19b2o2$16b2o21b3o$16b2o21bo$40bo14b2o$55bobo$19b2o
5b2o16b2o11bo$19b2o6b2o12b3obo11b2o$26bo14bo2b2o3b2o$42b3o4b2o$43bo$
46b2o$30b2o5b2o7b2o$30b2o5b2o2$33b2o14b2o$33b2o14b2o4$10b2o$10b2o5bo3b
2o$14bo3bob2obo$6b2o5bo2bobo4b2o$6b2o5b2o2b3o2b2o$18b2o4$17b2o$18bo$
15b3o$15bo!

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gmc_nxtman
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Re: Discussion thread for infinite growth patterns

Post by gmc_nxtman » June 27th, 2016, 5:25 pm

After realizing that p120 is a multiple of 30, and that there are simple p30 glider-to-lwss converters, here is a further reduction:

Code: Select all

x = 50, y = 41, rule = B3/S23
25b3o$8b2o14bo2bo$8b2o17bo$27bo$24bobo$11b2o$11b2o2$8b2o$8b2o$2o$bo$bo
bo$2b2o3$7b2o$7bobo$7bo3$41bo$40b4o$13bo4bo20b2obobo3b2o$12bo6bo18b3ob
o2bo2b2o$19b2o18b2obobo$12b2o3bo2bo19b4o$11bo3b6o7bo12bo$12bo14b3o$26b
5o$25bobobobo$25b2o3b2o$19b2o$19b2o$28bo$27bobo$27bobo$28bo$28b2o$28b
2o$28b2o!

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muzik
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Re: Discussion thread for infinite growth patterns

Post by muzik » June 27th, 2016, 5:32 pm

Guess that settles things.

And thus, the double-barrel:

Code: Select all

x = 71, y = 47, rule = B3/S23
20b2o$20b2o$20b2o$21bo$20bobo$20bobo$21bo$29b2o$29b2o$18b2o3b2o$18bobo
bobo$19b5o$20b3o14bo$8bo12bo7b6o3bo$6b4o19bo2bo3b2o$5bobob2o18b2o$2o2b
o2bob3o18bo6bo$2o3bobob2o20bo4bo$6b4o$8bo3$42bo$40bobo$41b2o3$62bo$61b
4o$60b2obobo3b2o$59b3obo2bo2b2o$40b2o18b2obobo$40b2o19b4o$49bo12bo$37b
2o9b3o$37b2o8b5o$46bobobobo$46b2o3b2o$40b2o$40b2o$49bo$48bobo$48bobo$
49bo$49b2o$49b2o$49b2o!

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muzik
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Re: Discussion thread for infinite growth patterns

Post by muzik » July 5th, 2016, 12:00 pm

Quick shift of seriousness here.

How about a fireship (copperhead "tagalong") gun?



Synthesis

Code: Select all

x = 208, y = 68, rule = B3/S23
8$88bo$88bobo71bobo32bobo$88b2o73b2o32b2o$73bobo87bo34bo$69bo4b2o$69b
2o3bo$68bobo$76bo85bo36bo$76bobo84bo34bo$76b2o83b3o34b3o$6bobo8bobo$7b
2o8b2o$7bo10bo78b2o2b2o15b2o2b2o14b2o2b2o34b2o2b2o$97b2o2b2o15b2o2b2o
14b2o2b2o34b2o2b2o3$42b2o4b2o22b2o4b2o16b2o4b2o13b2o4b2o12b2o4b2o32b2o
4b2o$10b2o2b2o26bobo2bobo22bobo2bobo16bobo2bobo13bobo2bobo12bobo2bobo
32bobo2bobo$9bobo2bobo27bo2bo26bo2bo20bo2bo17bo2bo16bo2bo36bo2bo$11bo
2bo28bo4bo24bo4bo18bo4bo15bo4bo14bo4bo34bo4bo$43bo4bo24bo4bo18bo4bo15b
o4bo14bo4bo34bo4bo$43bo4bo24bo4bo18bo4bo15bo4bo14bo4bo34bo4bo$45b2o28b
2o22b2o19b2o18b2o38b2o3$45b2o$7b3o6b3o26b2o$9bo6bo$8bo8bo57b2o22b2o19b
2o18b2o38b2o$75b2o22b2o19b2o18b2o20b2o16b2o16b2o$161bobo34bobo$123b2o
12b2o4b2o18bo13b2o4b2o13bo$122bo2bo10bo2bo2bo2bo30bo2bo2bo2bo$41b3o60b
2o9b2o6b2o12b2o4b2o32b2o4b2o$43bo60bobo7bobo$42bo12bo48bo11bo49bo13b2o
13bo$54b2o43b2o19b2o44b2o12b2o12b2o$54bobo41bobo19bobo19b2o15b3o3bobo
26bobo3b3o$100bo19bo21bobo16bo38bo$142bo17bo40bo$136b2o$135bobo$137bo
8$164b2o30b2o$165b2o28b2o$164bo32bo!

Gamedziner
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Re: Discussion thread for infinite growth patterns

Post by Gamedziner » July 19th, 2016, 12:56 pm

Could an MSSM breeder be built whose SSM component is as follows (or a variant of it)?

Code: Select all

x = 444, y = 331, rule = B3/S23
179b2o$179b2o2$166b2o$166b2o3$180bo$165b3o11b3o$165b3o11b3o$164bo3bo$
163bo5bo7b2o3b2o$164bo3bo8b2o3b2o$165b3o2$180b2o$179bobo$178b2o2bo$
164bobo12b2o$164bo2bo11b2o$166b2obo9bo2$166bo12bo5bo$166bob2o9bo5bo$
167bo5bo6bo3bo$175bo5b3o$171bo2bo$161b2o3b2o$162b5o4b2o$162b2ob2o$162b
2ob2o$163b3o40b2o$184b2o20b2o$184bo$185b3o$161b2o7b2o15bo$162bo3b2o4b
4o6bo$159b3o4b2o2b2ob3o7bo$159bo10bo10b3o$177b2o$177b2o3$176b3o$176b2o
bo2b2o$178b2o2b2o$178b2o20$175b3o34bo$177bo35bo$176bo34b3o3$171bo$171b
2o$170bobo20b3o$166bo25bo3bo$166b2o23bo5bo$159b3o3bobo$161bo28bo7bo$
160bo29bo7bo2$191bo5bo$192bo3bo$193b3o3$173b2o4b2o$171b2o2bo4bo68b2o
19b2o$168b5o7bob2o5b2o59bo19bo$168b5o8bo7bobo58bobo5b2o8bobo$172b2o11b
o4b3o12bo45b2o3bo3bo7b2o$172b3o8bo2bo4b3o8b4o49bo5bo$184b2o4b3o8b4o49b
2obo3bo$189bobo9bo2bo50bo5bo$189b2o10b4o51bo3bo$193bo8b4o6b2o12bo31b2o
$192bo12bo6bobo10b2o$145b3o44b3o19bo10bobo14bo$147bo30b2o34b2o27bo$
146bo31bobo60b3o$151b2o26b3o$152bo27b2o5b3o$102b2o37bo8bo26b2o8bo$102b
o38b2o7b5o14b2o6b3o8bo$90bo9bobo37bobo12bo13bo30bo$89bobo8b2o34bo15b3o
12bobo30b2o$79b2o6b2o3bo43b2o13bo15b2o9b2o9bo5b2o4b2o$78bobo4b2obo3bo
36b3o3bobo13b4o23b2o9bobo3b2o4b3o7b2o$68b2o7b3o4b3obo3bo38bo17b2o3bo3b
2o30bobo2b2o4b2o8b2o$68b2o6b3o4bo2b2obobo9b2o27bo17bo2b3o4b2o30bo2bo6b
2o$77b3o4b2o4bo10b2o46bobo38bobo7bo41b2o$78bobo65b3o2bo27b2o8bobo50b2o
$79b2o64bo5b2o25bobo8bo$101b3o41b2o31bo$92b2o8b2o39b3o31b2o38b2o$92b2o
5b2o41bobo14b2o47bo7b3o$99b3o39bo3bo14bo47b3o4bobo2bo2b2o$100bobo38b5o
11b3o5b2o44bo3b2o2b2o2b2o11bo34bo$87b2o12b2o37b2o3b2o10bo7bobo42b2o7b
2o13b3o32b3o$86bobo52b5o20b3o4b3o57bo34bo$76bo11bo53b3o22b2o4bo14bo45b
o33b2o$76bobo64bo20b2o8bo13b3o40bo2bo$65b2o12b2o9b2o72b3o3bo20bo38bo$
65b2o12b2o9b2o78b3o17b2o38bobo$79b2o6b2o6bo77bo57bo$76bobo7b3o6bo69b2o
5b2o19bo26b2o$76bo10b2o76b2o25b3o24bobo$90b2o6b2o15b3o73bo3bo14b2o3b2o
4bo6b2o3b2o$59b2o29b2o6bobo16bo31b2o39bob3obo15b3o13bobobobo$59bobo38b
o15bo31bobo40b5o15bo3bo13b5o13bobo4b2o7b2o3b2o$60b3o37b2o45b3o4b2o56bo
bo10b2o3b3o13bo2bo4bo$45b2o14b2o83b3o4bo2b4o14b3o36bo11bobo3bo13b2o7bo
bo7bo3bo$45b2o14b2o48bo35b3o4b2ob3o13bo3bo47bo17b2o3bo16b3o$59bobo49b
2o35bobo63b3o28b2o18b3o$60bo49bobo36b2o21bo5bo9b3o23b3o22b2o5bo2bo6b2o
$106bo65b2o3b2o9bo49bobo6bobo6bobo$106b2o81bo48bo19bo9b2o$57b2o3b2o35b
3o3bobo129b2o19b2o8bo$57b2o3b2o37bo19b2o54b2o33b2o3b2o50b3o$100bo11bo
7b3o54bobo33b5o10b3o40bo$59b3o50b3o4bobo2bo2b2o50bo34b3o10b2ob2o$59b3o
53bo3b2o2b2o2b2o11bo37b2o35bo11b2ob2o$45b3o12bo53b2o7b2o13b3o34bo51b5o
$44bo3bo88bo37bo2bo11b3o33b2o3b2o$43bo5bo67bo19b2o36bo13bo3bo$44bo3bo
67b3o9b2o58bo5bo$45b3o67bo3bo7bobo58b2obob2o$45b3o66bob3obo8bo44b2obob
2o36b2o$58bo56b5o97bo$56b2o116bo5bo10bo26b3o$57b2o66b2o7b3o53bobo27bo
5b2o$125bobo5bo3bo37b2ob2o10bobo34bo$43b3o15b3o61bo51bo13bo32b3o$42b2o
b2o3bo9bo3bo55b3o9bo5bo85bo$42b2ob2o4b2o6bo5bo37bo18bo9b2o3b2o52b2o$
37b2o3b5o3b2o7bo5bo37b3o15bo69b2o$37bo3b2o3b2o14bo43bo$27bo7bobo22bo3b
o40b2o25b2o43b2o$27b4o4b2o24b3o67bobo43b2o$11bo16b4o30bo68bo$10bobo5b
2o8bo2bo99b2o$3b2o3b2o3bo14b4o32b2o69bo$3b2o3b2o3bo4bobob2o3b4o21bobo
9bo16bo36b3o11bo2bo$8b2o3bo5b2o3bo2bo13b2o8bo13b3o13b2o34bo3bo13bo$10b
obo10bo18bo3b2o2bo4bo11bo12bobo33bo5bo$11bo8bo2bo15b3o4b2obo2bob2o20bo
28b2o3b2o4b2obob2o$39bo10b2o24b2o52b2obob2o$69b3o3bobo28bo3bo$42b2o27b
o35b3o20bo5bo$24b3o3bo11bobo25bo36b3o$26bo4bo11b3o85b2ob2o$25bo3b3o12b
2o75b2o10bo$41b2o68bo9bo$11b2o28b3o65b4o9b3o$11b2o4bo90bobob2o10bo$2o
6b2o6b5ob2o83bo2bob3o$2o5b3o5bo2b2o4bo17b2o64bobob2o18b2o$8b2o5b2o8bo
16b2o65b4o8b2o9b2o$11b2o4bo7bo85bo9bobo$11b2o12bo77b2o18bo$24bo8b2o69b
2o17b2o$22b2o9bobo67bo$35bo49bobo$35b2o33b3o4bo10bo$45bo24bobo4b3o4bo
4bo2b2o$46bo23b3o7bo3b2obo2bob2o11bo$44b3o23b3o6b2o7b2o13b3o$70b3o29bo
288bo$70b3o29b2o285b3o$41b2o27bobo315bo$41bo18bo9b3o27bo287b2o$32bo6bo
bo17b2o38b3o91bobo30b2o$31b2o6b2o17b2o3b2o33bo3bo90bo3bo28bobo157bo$9b
o5b2o13b2o4b2o19b3o19b2o3b2o14bo76bo19bo23b2o4b3o12bo142bobo$7bo3bo3b
3o11b3o4b2o20b2o20b5o3b2o7bo5bo38bo32b4o14bo4bo4b2o12b4o2bo4b3o8b4o4bo
136bo3bo$11bo5b2obo9b2o4b2o11b2o8b2o5b2o12b2ob2o4b2o6bo5bo36b3o31bobob
2o4bo12bo5b2o12b3ob2o4b3o8b4o5bo137b3o$6bo5bo4bo2bo10b2o15bobo9bo5bobo
11b2ob2o3bo9bo3bo36bo29b2o2bo2bob3o5b2obo3bo3bo28bobo9bo2bo9b2o130b2o
3b2o$6b2o9b2obo11bo6b3o6bo19bo12b3o15b3o37b2o9b2o17b2o3bobob2o5b4obo2b
obo30b2o10b4o9b2o$15b3o10bo12bo5b2o19b2o46bo33b2o23b4o6b2o2b2o39bo8b4o
122b2o$15b2o9bobo11bo54b2o19b3o58bo27b2o8b2o12bo12bo93bo29bo$27b2o65b
2o23bo85b2o8b2o12b3o101b4o29bobo6bobo$42b2o52bo10b2o9b2o95b2o115b4o16b
o14b2o5bo2bo4bo$41bobo39b3o21b2o106bo11b2o96b2o5bo2bo8b2o5bobo19b2o5b
2o$40b3o40b3o48b2o3b2o54b2o9b2o6bobo10bobo95b2o5b4o14bo3b2o15b2o3bo9bo
$33b2o5b2o40bo3bo47bo5bo54b2o7bob2o6bob2o9bo105b4o3b2obobo4bo3b2o17b2o
11bo$33b2o8b2o36bo5bo116bo131bo2bo3b2o5bo3b2o18bo2bo$42b3o37bo3bo48bo
3bo51bo12bo17bo117bo10bobo3b2o16bobo18b2o$22bo60b3o12bo37b3o34b2o16b2o
11bo2bo7b2o5bobo98b2o15bo2bo8bo4bobo37bo$21b4o72b3o6b3o11b3o50b2o15bob
o12b2o8b2o5b2o98bobo34bo37bobo10bo$20b2obobo6bobo7b2o53b3o5b2ob2o9bo3b
o25b5o92b2o73b3o35b2o37b2o9bobo$9b2o8b3obo2bo3bo3bo7b2o61b2ob2o8bo5bo
23bob3obo79b3o2bo5bo3bo71b2o86b2obo7b2o$9b2o9b2obobo4bo64b2o3b2o3b5o8b
o5bo24bo3bo76bo3bo9bo5bo73b2o7bo61b2o12b2ob2o6bobo$21b4o4bo4bo60b2o3b
2o2b2o3b2o10bo28b3o75bobo4bo8bo3bob2o2b2o67b3o6bo61b2o13b2obob3o6bo$
22bo7bo88bo3bo27bo21bo52b2o16bo5bo3b2o76b3o2b3o56bo12bobo2bo2bo2bo2bo
7b2o$30bo3bo6b2o77b3o17bo30b2ob2o7b2o41b2o17bo3bo87bo72bo4b2o6bo7b2o$
32bobo6bobo42b2o10bo7b2o13bo16bobo43b2o40b2o18b2o75b2o13bo81bobo$43bo
42bo10bobo5b5o29b2o29bo5bo6bo37b2o5bobo92b2o95b2o$43b2o42b3o9b2o4bo47b
o66bobo7bo120b2o$89bo9b2o6b3o12b3o10bo17bo16b2obob2o43bo99b2o24bo4b2o
42b2o10bobo$98b3o8bo12b3o9b3o15bobo63b3o99bo19b2ob5o6b2o39b2o10b2o$97b
obo7b2o12bo3bo7b5o13b2ob2o46b2o13bo93bo6bobo18bo4b2o2bo5b3o5b2o44bo$
97b2o8b2o6bobo14b2o3b2o6b2o3bo5bo19b2o24bo4bo9b2o92bobo4b2o18bo8b2o5b
2o6b2o40b2o$115b2o3b2o3b2o6b5o7b2o6bo21bobo15bo6bobo4bobo61b2o39bobo
23bo7bo4b2o43b2o6b2o22b2o$116bo16bo3bo12b2o3b2o19bo16bobo4b2o5b2o5b3o
54b2o26b2o11bo2bo22bo12b2o41bob2o30bo$102b2o3b2o25bobo38b2o17bobo17b3o
33b2o16b2o10bo4bo13b2o11bobo14b2o8bo54bo16bo7bo6bobo$102bobobobo3b2o
19b3o39b3o3b2o11bo2bo52b2o8b2o5b3o10bo4bobo23bobo14bobo9b2o52bo15b4o5b
obo4b2o$103b5o4b2o18b2o5bo14bo21b2o3b2o11bobo63b2o6b2o10bo7b2o21bo16bo
65bo2bo7b2o2bo2b2o8b2o$104b3o26bo4bo15bo19bo18bobo11bo63b2o2b2o11b2o4b
2o31b2o66b2o8b2o2b2o11b2o$105bo24b3o5b3o14bo37bo12bo5b2o3b2o52b2o2bo2b
2o8b2o4b2o106b2o10bo7b2o$130bo75b3o4b5o58b4o5bobo113b3o10bo4bobo$125b
2o87b3o41b2o17bo7bo116b2o10bo4bo$125bo26b2o21bo17bobo19bo42b2o136b2o7b
2o$126b3o14bo8b2o20b3o16b2o200bobo7b2o$102b2o17bo6bo10b2o2b2ob3o24b5o
16bo63bo60b2o74bo$103bo18b2o15b2o4b4o23b2o3b2o78bobo8bobo3bo44bobo72b
2o$100b3o18b2o20b2o28b5o71b3o5bo2bo7b2o3b2o45b3o4b3o75b2o$100bo72bo3bo
70bo3bo5bo2bo7bo3bobo21b2o22b2o4bo78bo$76bo30bo66bobo32b3o5b2o28bo5bo
43bo20b2o8bo77bobo5b2o$74b3o30b3o65bo28b2o3bo7bo30bo3bo5bo2bo24b2o7bob
o20b3o86b2o5bobo$73bo36bo93bobo3bo7b3o28b3o6b2o26bobo6b2o118b3o12bo$
73b2o9b2o12b2o9b2o5bo88b3o12bo28b3o24bo4b2o6bo37b3o86b3o8b4o$84b2o12b
2o16b3o56b2o29b2o67bobo2bo2bo2bo2bo13bo15b2o8bo85b3o8b4o9b2o$113bo5bo
55b2o26b2o10b2o58b2obob3o6bo12bo16b2o7bo6b2o69b2o6bobo9bo2bo9b2o$113bo
4b2o83b3o9b2o58b2ob2o6bobo13b3o30bobo67bobo6b2o10b4o5bo$275b2obo7b2o8b
obo36bo68b3o11bo8b4o4bo$122bo124b3o15b2o8bobo18b2o106b2o11bo12bo$85bo
23b2o3b2o6bo81b2o40b2ob2o3bo9bobo9bo20bo109b2o8b3o$71bo13bo24b5o6bo82b
2o40b2ob2o4b2o7bo55b2o84b3o$70b3o11bobo24b3o22bo109b5o3b2o7b2o54bobo$
69b5o9b2ob2o24bo24b2o69b2o35b2o3b2o69bo$68b2o3b2o7bo5bo6b2obob2o16b2o
3b2o11b2o69bobo100bo20b2o9b3o9b2o31b2o17b2o$69b5o11bo32bo5bo52bo31bo
99b4o18bo10bo9bo2bo30b3o17b2o$69bo3bo8b2o3b2o6bo5bo75bobo44b3o81b2obob
o6bobo6bobo5bo5bo7bo34b2obo$70bobo46bo3bo53b2o45bo82b3obo2bo3bo3bo6b2o
4b4o12bo35b3o44b2o$71bo24b2ob2o19b3o102bo82b2obobo4bo15bobob2o11bo36bo
33b3o2bo5bo3bo$84b4o10bo92bo8b2o14b2o19bo61b2o8b4o4bo4bo10bo2bob3o11bo
2bo5b2o55bo3bo9bo5bo3b2o$83b2o2bo23bo77bobo6bo2bo14bo20b2o11b2o46bobo
9bo7bo14b2obob2o14b2o5bobo52bobo4bo8bo3bob2o2b2o$69bo13b2obo22b2o66bo
10bobo7bo3bo2b2o7bobo9bo5b2o4b2o10bo47bo19bo3bo8b3ob4o24bo50b2o16bo5bo
$67b2ob2o38b2o24bobo37bo10bo2bo7bo2b2o2b3o6b2o10bobo3b2o4b3o10b3o43b2o
21bobo7bobo4bo25b2o49b2o17bo3bo$76bo7b2o37b2o12b2o37b3o9bobo16b2obo16b
obo2b2o4b2o13bo76bo83b2o18b2o$66bo5bo4bo6bo38bo13bo46b2o3bobo4b3o8bo2b
o16bo2bo6b2o7b2o81b2o78b2o5bobo$75b3o46b3o36bobo17bobo5bo15b2obo16bobo
7bo8bobo159bobo7bo$66b2obob2o22b3o28bo36b2o18bo21b3o8b2o8bobo19bo159bo
$84b2obob2o3bo3bo12b2o3b2o33bo12bo17b2o21b2o8bobo8bo21b2o157b2o$78bo5b
o5bo12b2o8b3o36b2o61bo$77bo7bo3bo3bo5bo3b2o7bo3bo34b2o61b2o$77b3o6b3o
4b2o3b2o13bobo169b2o58b2o$114bo169b4o56b4o$284b2ob2o55b2ob2o$66b2o28bo
11bobo5b2o65b2o58b2o41b2o15b2o41b2o15b2o$67bo27bobo11b2o5bo64b2ob2o55b
2ob2o55b2ob2o55b2ob2o$64b3o28bobo11bo7b3o61b4o56b4o56b4o56b4o$64bo30bo
23bo62b2o58b2o58b2o58b2o$95bo67bo59bo59bo59bo$86b2o7bo2bo63b3o3b2o52b
3o3b2o52b3o3b2o52b3o3b2o$77bo8b2o8b2o4bo2b2o54b5ob3o9b3o39b5ob3o9b3o
39b5ob3o9b3o39b5ob3o9b3o$73b2o2b2ob3o18bo3b2o2b2o54b3o9bo3b2o42b3o9bo
3b2o31bobo8b3o9bo3b2o31bobo8b3o9bo3b2o$73b2o4b4o18bo7b2o54b3o9bobo2b2o
41b3o9bobo2b2o31b2o8b3o9bobo2b2o31b2o8b3o9bobo2b2o$77b2o23b4o60bo9bo5b
o43bo9bo5bo32bo10bo9bo5bo32bo10bo9bo5bo$63bo101bo11bo2b2o43bo11bo2b2o
43bo11bo2b2o43bo11bo2b2o$62bo114bo59bo59bo59bo$62b3o114bo59bo59bo59bo$
112bo2bo56bo2bo56bo2bo56bo2bo56bo2bo$54bo61bo6b2o51bo6b2o51bo6b2o51bo
6b2o51bo6b2o$54bobo55bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b
2ob2o46bo3bo4b2ob2o$42b2o11bobo55b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o48b
4o4b4o$42b2o11bo2bo63b2o58b2o58b2o58b2o58b2o$55bobo$54bobo$54bo50b2o
181b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o$105bo28bo153bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo$97bo5bobo23b3ob2o2b2o151bo9bo9bo9b
o9bo9bo9bo9bo9bo9bo$58bo37b2o5b2o24b4o4b2o151b2o8b2o8b2o8b2o8b2o8b2o8b
2o8b2o8b2o8b2o$58bo21b2o13b2o36b2o7b2o$57bobo20b3o11b3o45b2o$56b2ob2o
21b2obo9b2o3b2o$55bo5bo20bo2bo10b2o22bo$58bo23b2obo11bo6b3o13b3o$55b2o
3b2o11b2o5b3o10bo12bo3b2o11bo$72bobo5b2o9bobo11bo3bobo10b2o$72bo19b2o
14b3o31b3o$57bo13b2o35b2o22b3o$57bo53b2o19bo9bobo$56bo53b3o20bo7b5o$
98b2o40b2o3b2o$98b2o40b2o3b2o$58b2o50b2o20b3o$58b2o27bo22b2o12b3o7bo$
86b4o33bo3bo5bo6b2o$74b2o9b2obobo6bobo22bo5bo9b2obo$74b2o8b3obo2bo3bo
3bo23bo3bo10bo$85b2obobo4bo12b2o14b3o$86b4o4bo4bo8b2o14bo2bo11b3obo$
87bo7bo29b3o15bo$95bo3bo25b2obo14bo$97bobo26bobo$127bo3$124b2o3b2o7b2o
3b2o$124bobobobo9b3o$125b5o9bo3bo$126b3o11bobo$127bo13bo4$140b2o$129b
2o9b2o$129bo$130b3o$132bo!
It seems to me like there is enough space in there to fit more rakes, and as such could make an MSSM breeder possible.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

User avatar
muzik
Posts: 5650
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Discussion thread for infinite growth patterns

Post by muzik » July 19th, 2016, 1:54 pm

Cubic growth really isn't possible in 2D space. Also, that's SMM

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: Discussion thread for infinite growth patterns

Post by Gamedziner » July 20th, 2016, 6:26 am

Oops, I meant MSMM with SMM component. That being said, I can show an example of two SMM breeders of this kind producing rakes in the same direction, without the rakes interacting:

Code: Select all

179b2o$179b2o2$166b2o$166b2o3$180bo$165b3o11b3o$165b3o11b3o$164bo3bo$
163bo5bo7b2o3b2o$164bo3bo8b2o3b2o$165b3o2$180b2o$179bobo$178b2o2bo$
164bobo12b2o$164bo2bo11b2o$166b2obo9bo2$166bo12bo5bo$166bob2o9bo5bo$
167bo5bo6bo3bo$175bo5b3o$171bo2bo$161b2o3b2o$162b5o4b2o$162b2ob2o$162b
2ob2o$163b3o40b2o$184b2o20b2o$184bo$185b3o$161b2o7b2o15bo$162bo3b2o4b
4o6bo$159b3o4b2o2b2ob3o7bo$159bo10bo10b3o$177b2o$177b2o3$176b3o$176b2o
bo2b2o$178b2o2b2o$178b2o20$175b3o34bo$177bo35bo$176bo34b3o3$171bo$171b
2o$170bobo20b3o$166bo25bo3bo$166b2o23bo5bo$159b3o3bobo$161bo28bo7bo$
160bo29bo7bo2$191bo5bo$192bo3bo$193b3o3$173b2o4b2o$171b2o2bo4bo68b2o
19b2o$168b5o7bob2o5b2o59bo19bo$168b5o8bo7bobo58bobo5b2o8bobo$172b2o11b
o4b3o12bo45b2o3bo3bo7b2o$172b3o8bo2bo4b3o8b4o49bo5bo$184b2o4b3o8b4o49b
2obo3bo$189bobo9bo2bo50bo5bo$189b2o10b4o51bo3bo$193bo8b4o6b2o12bo31b2o
$192bo12bo6bobo10b2o$145b3o44b3o19bo10bobo14bo$147bo30b2o34b2o27bo$
146bo31bobo60b3o$151b2o26b3o$152bo27b2o5b3o$102b2o37bo8bo26b2o8bo$102b
o38b2o7b5o14b2o6b3o8bo$90bo9bobo37bobo12bo13bo30bo$89bobo8b2o34bo15b3o
12bobo30b2o$79b2o6b2o3bo43b2o13bo15b2o9b2o9bo5b2o4b2o$78bobo4b2obo3bo
36b3o3bobo13b4o23b2o9bobo3b2o4b3o7b2o$68b2o7b3o4b3obo3bo38bo17b2o3bo3b
2o30bobo2b2o4b2o8b2o$68b2o6b3o4bo2b2obobo9b2o27bo17bo2b3o4b2o30bo2bo6b
2o$77b3o4b2o4bo10b2o46bobo38bobo7bo41b2o$78bobo65b3o2bo27b2o8bobo50b2o
$79b2o64bo5b2o25bobo8bo$101b3o41b2o31bo$92b2o8b2o39b3o31b2o38b2o$92b2o
5b2o41bobo14b2o47bo7b3o$99b3o39bo3bo14bo47b3o4bobo2bo2b2o$100bobo38b5o
11b3o5b2o44bo3b2o2b2o2b2o11bo34bo$87b2o12b2o37b2o3b2o10bo7bobo42b2o7b
2o13b3o32b3o$86bobo52b5o20b3o4b3o57bo34bo$76bo11bo53b3o22b2o4bo14bo45b
o33b2o$76bobo64bo20b2o8bo13b3o40bo2bo$65b2o12b2o9b2o72b3o3bo20bo38bo$
65b2o12b2o9b2o78b3o17b2o38bobo$79b2o6b2o6bo77bo57bo$76bobo7b3o6bo69b2o
5b2o19bo26b2o$76bo10b2o76b2o25b3o24bobo$90b2o6b2o15b3o73bo3bo14b2o3b2o
4bo6b2o3b2o$59b2o29b2o6bobo16bo31b2o39bob3obo15b3o13bobobobo$59bobo38b
o15bo31bobo40b5o15bo3bo13b5o13bobo4b2o7b2o3b2o$60b3o37b2o45b3o4b2o56bo
bo10b2o3b3o13bo2bo4bo$45b2o14b2o83b3o4bo2b4o14b3o36bo11bobo3bo13b2o7bo
bo7bo3bo$45b2o14b2o48bo35b3o4b2ob3o13bo3bo47bo17b2o3bo16b3o$59bobo49b
2o35bobo63b3o28b2o18b3o$60bo49bobo36b2o21bo5bo9b3o23b3o22b2o5bo2bo6b2o
$106bo65b2o3b2o9bo49bobo6bobo6bobo$106b2o81bo48bo19bo9b2o$57b2o3b2o35b
3o3bobo129b2o19b2o8bo$57b2o3b2o37bo19b2o54b2o33b2o3b2o50b3o$100bo11bo
7b3o54bobo33b5o10b3o40bo$59b3o50b3o4bobo2bo2b2o50bo34b3o10b2ob2o$59b3o
53bo3b2o2b2o2b2o11bo37b2o35bo11b2ob2o$45b3o12bo53b2o7b2o13b3o34bo51b5o
$44bo3bo88bo37bo2bo11b3o33b2o3b2o$43bo5bo67bo19b2o36bo13bo3bo$44bo3bo
67b3o9b2o58bo5bo$45b3o67bo3bo7bobo58b2obob2o$45b3o66bob3obo8bo44b2obob
2o36b2o$58bo56b5o97bo$56b2o116bo5bo10bo26b3o$57b2o66b2o7b3o53bobo27bo
5b2o$125bobo5bo3bo37b2ob2o10bobo34bo$43b3o15b3o61bo51bo13bo32b3o$42b2o
b2o3bo9bo3bo55b3o9bo5bo85bo$42b2ob2o4b2o6bo5bo37bo18bo9b2o3b2o52b2o$
37b2o3b5o3b2o7bo5bo37b3o15bo69b2o$37bo3b2o3b2o14bo43bo$27bo7bobo22bo3b
o40b2o25b2o43b2o$27b4o4b2o24b3o67bobo43b2o$11bo16b4o30bo68bo$10bobo5b
2o8bo2bo99b2o$3b2o3b2o3bo14b4o32b2o69bo$3b2o3b2o3bo4bobob2o3b4o21bobo
9bo16bo36b3o11bo2bo$8b2o3bo5b2o3bo2bo13b2o8bo13b3o13b2o34bo3bo13bo$10b
obo10bo18bo3b2o2bo4bo11bo12bobo33bo5bo$11bo8bo2bo15b3o4b2obo2bob2o20bo
28b2o3b2o4b2obob2o$39bo10b2o24b2o52b2obob2o$69b3o3bobo28bo3bo$42b2o27b
o35b3o20bo5bo$24b3o3bo11bobo25bo36b3o$26bo4bo11b3o85b2ob2o$25bo3b3o12b
2o75b2o10bo$41b2o68bo9bo$11b2o28b3o65b4o9b3o$11b2o4bo90bobob2o10bo$2o
6b2o6b5ob2o83bo2bob3o$2o5b3o5bo2b2o4bo17b2o64bobob2o18b2o$8b2o5b2o8bo
16b2o65b4o8b2o9b2o$11b2o4bo7bo85bo9bobo$11b2o12bo77b2o18bo$24bo8b2o69b
2o17b2o$22b2o9bobo67bo$35bo49bobo$35b2o33b3o4bo10bo$45bo24bobo4b3o4bo
4bo2b2o$46bo23b3o7bo3b2obo2bob2o11bo$44b3o23b3o6b2o7b2o13b3o$70b3o29bo
288bo$70b3o29b2o285b3o$41b2o27bobo315bo$41bo18bo9b3o27bo287b2o$32bo6bo
bo17b2o38b3o91bobo30b2o$31b2o6b2o17b2o3b2o33bo3bo90bo3bo28bobo157bo$9b
o5b2o13b2o4b2o19b3o19b2o3b2o14bo76bo19bo23b2o4b3o12bo142bobo$7bo3bo3b
3o11b3o4b2o20b2o20b5o3b2o7bo5bo38bo32b4o14bo4bo4b2o12b4o2bo4b3o8b4o4bo
136bo3bo$11bo5b2obo9b2o4b2o11b2o8b2o5b2o12b2ob2o4b2o6bo5bo36b3o31bobob
2o4bo12bo5b2o12b3ob2o4b3o8b4o5bo137b3o$6bo5bo4bo2bo10b2o15bobo9bo5bobo
11b2ob2o3bo9bo3bo36bo29b2o2bo2bob3o5b2obo3bo3bo28bobo9bo2bo9b2o130b2o
3b2o$6b2o9b2obo11bo6b3o6bo19bo12b3o15b3o37b2o9b2o17b2o3bobob2o5b4obo2b
obo30b2o10b4o9b2o$15b3o10bo12bo5b2o19b2o46bo33b2o23b4o6b2o2b2o39bo8b4o
122b2o$15b2o9bobo11bo54b2o19b3o58bo27b2o8b2o12bo12bo93bo29bo$27b2o65b
2o23bo85b2o8b2o12b3o101b4o29bobo6bobo$42b2o52bo10b2o9b2o95b2o115b4o16b
o14b2o5bo2bo4bo$41bobo39b3o21b2o106bo11b2o96b2o5bo2bo8b2o5bobo19b2o5b
2o$40b3o40b3o48b2o3b2o54b2o9b2o6bobo10bobo95b2o5b4o14bo3b2o15b2o3bo9bo
$33b2o5b2o40bo3bo47bo5bo54b2o7bob2o6bob2o9bo105b4o3b2obobo4bo3b2o17b2o
11bo$33b2o8b2o36bo5bo116bo131bo2bo3b2o5bo3b2o18bo2bo$42b3o37bo3bo48bo
3bo51bo12bo17bo117bo10bobo3b2o16bobo18b2o$22bo60b3o12bo37b3o34b2o16b2o
11bo2bo7b2o5bobo98b2o15bo2bo8bo4bobo37bo$21b4o72b3o6b3o11b3o50b2o15bob
o12b2o8b2o5b2o98bobo34bo37bobo10bo$20b2obobo6bobo7b2o53b3o5b2ob2o9bo3b
o25b5o92b2o73b3o35b2o37b2o9bobo$9b2o8b3obo2bo3bo3bo7b2o61b2ob2o8bo5bo
23bob3obo79b3o2bo5bo3bo71b2o86b2obo7b2o$9b2o9b2obobo4bo64b2o3b2o3b5o8b
o5bo24bo3bo76bo3bo9bo5bo73b2o7bo61b2o12b2ob2o6bobo$21b4o4bo4bo60b2o3b
2o2b2o3b2o10bo28b3o75bobo4bo8bo3bob2o2b2o67b3o6bo61b2o13b2obob3o6bo$
22bo7bo88bo3bo27bo21bo52b2o16bo5bo3b2o76b3o2b3o56bo12bobo2bo2bo2bo2bo
7b2o$30bo3bo6b2o77b3o17bo30b2ob2o7b2o41b2o17bo3bo87bo72bo4b2o6bo7b2o$
32bobo6bobo42b2o10bo7b2o13bo16bobo43b2o40b2o18b2o75b2o13bo81bobo$43bo
42bo10bobo5b5o29b2o29bo5bo6bo37b2o5bobo92b2o95b2o$43b2o42b3o9b2o4bo47b
o66bobo7bo120b2o$89bo9b2o6b3o12b3o10bo17bo16b2obob2o43bo99b2o24bo4b2o
42b2o10bobo$98b3o8bo12b3o9b3o15bobo63b3o99bo19b2ob5o6b2o39b2o10b2o$97b
obo7b2o12bo3bo7b5o13b2ob2o46b2o13bo93bo6bobo18bo4b2o2bo5b3o5b2o44bo$
97b2o8b2o6bobo14b2o3b2o6b2o3bo5bo19b2o24bo4bo9b2o92bobo4b2o18bo8b2o5b
2o6b2o40b2o$115b2o3b2o3b2o6b5o7b2o6bo21bobo15bo6bobo4bobo61b2o39bobo
23bo7bo4b2o43b2o6b2o22b2o$116bo16bo3bo12b2o3b2o19bo16bobo4b2o5b2o5b3o
54b2o26b2o11bo2bo22bo12b2o41bob2o30bo$102b2o3b2o25bobo38b2o17bobo17b3o
33b2o16b2o10bo4bo13b2o11bobo14b2o8bo54bo16bo7bo6bobo$102bobobobo3b2o
19b3o39b3o3b2o11bo2bo52b2o8b2o5b3o10bo4bobo23bobo14bobo9b2o52bo15b4o5b
obo4b2o$103b5o4b2o18b2o5bo14bo21b2o3b2o11bobo63b2o6b2o10bo7b2o21bo16bo
65bo2bo7b2o2bo2b2o8b2o$104b3o26bo4bo15bo19bo18bobo11bo63b2o2b2o11b2o4b
2o31b2o66b2o8b2o2b2o11b2o$105bo24b3o5b3o14bo37bo12bo5b2o3b2o52b2o2bo2b
2o8b2o4b2o106b2o10bo7b2o$130bo75b3o4b5o58b4o5bobo113b3o10bo4bobo$125b
2o87b3o41b2o17bo7bo116b2o10bo4bo$125bo26b2o21bo17bobo19bo42b2o136b2o7b
2o$126b3o14bo8b2o20b3o16b2o200bobo7b2o$102b2o17bo6bo10b2o2b2ob3o24b5o
16bo63bo60b2o74bo$103bo18b2o15b2o4b4o23b2o3b2o78bobo8bobo3bo44bobo72b
2o$100b3o18b2o20b2o28b5o71b3o5bo2bo7b2o3b2o45b3o4b3o75b2o$100bo72bo3bo
70bo3bo5bo2bo7bo3bobo21b2o22b2o4bo78bo$76bo30bo66bobo32b3o5b2o28bo5bo
43bo20b2o8bo77bobo5b2o$74b3o30b3o65bo28b2o3bo7bo30bo3bo5bo2bo24b2o7bob
o20b3o86b2o5bobo$73bo36bo93bobo3bo7b3o28b3o6b2o26bobo6b2o118b3o12bo$
73b2o9b2o12b2o9b2o5bo88b3o12bo28b3o24bo4b2o6bo37b3o86b3o8b4o$84b2o12b
2o16b3o56b2o29b2o67bobo2bo2bo2bo2bo13bo15b2o8bo85b3o8b4o9b2o$113bo5bo
55b2o26b2o10b2o58b2obob3o6bo12bo16b2o7bo6b2o69b2o6bobo9bo2bo9b2o$113bo
4b2o83b3o9b2o58b2ob2o6bobo13b3o30bobo67bobo6b2o10b4o5bo$275b2obo7b2o8b
obo36bo68b3o11bo8b4o4bo$122bo124b3o15b2o8bobo18b2o106b2o11bo12bo$85bo
23b2o3b2o6bo81b2o40b2ob2o3bo9bobo9bo20bo109b2o8b3o$71bo13bo24b5o6bo82b
2o40b2ob2o4b2o7bo55b2o84b3o$70b3o11bobo24b3o22bo109b5o3b2o7b2o54bobo$
69b5o9b2ob2o24bo24b2o69b2o35b2o3b2o69bo$68b2o3b2o7bo5bo6b2obob2o16b2o
3b2o11b2o69bobo100bo20b2o9b3o9b2o31b2o17b2o$69b5o11bo32bo5bo52bo31bo
99b4o18bo10bo9bo2bo30b3o17b2o$69bo3bo8b2o3b2o6bo5bo75bobo44b3o81b2obob
o6bobo6bobo5bo5bo7bo34b2obo$70bobo46bo3bo53b2o45bo82b3obo2bo3bo3bo6b2o
4b4o12bo35b3o44b2o$71bo24b2ob2o19b3o102bo82b2obobo4bo15bobob2o11bo36bo
33b3o2bo5bo3bo$84b4o10bo92bo8b2o14b2o19bo61b2o8b4o4bo4bo10bo2bob3o11bo
2bo5b2o55bo3bo9bo5bo3b2o$83b2o2bo23bo77bobo6bo2bo14bo20b2o11b2o46bobo
9bo7bo14b2obob2o14b2o5bobo52bobo4bo8bo3bob2o2b2o$69bo13b2obo22b2o66bo
10bobo7bo3bo2b2o7bobo9bo5b2o4b2o10bo47bo19bo3bo8b3ob4o24bo50b2o16bo5bo
$67b2ob2o38b2o24bobo37bo10bo2bo7bo2b2o2b3o6b2o10bobo3b2o4b3o10b3o43b2o
21bobo7bobo4bo25b2o49b2o17bo3bo$76bo7b2o37b2o12b2o37b3o9bobo16b2obo16b
obo2b2o4b2o13bo76bo83b2o18b2o$66bo5bo4bo6bo38bo13bo46b2o3bobo4b3o8bo2b
o16bo2bo6b2o7b2o81b2o78b2o5bobo$75b3o46b3o36bobo17bobo5bo15b2obo16bobo
7bo8bobo159bobo7bo$66b2obob2o22b3o28bo36b2o18bo21b3o8b2o8bobo19bo159bo
$84b2obob2o3bo3bo12b2o3b2o33bo12bo17b2o21b2o8bobo8bo21b2o157b2o$78bo5b
o5bo12b2o8b3o36b2o61bo$77bo7bo3bo3bo5bo3b2o7bo3bo34b2o61b2o$77b3o6b3o
4b2o3b2o13bobo169b2o58b2o$114bo169b4o56b4o$284b2ob2o55b2ob2o$66b2o28bo
11bobo5b2o65b2o58b2o41b2o15b2o41b2o15b2o$67bo27bobo11b2o5bo64b2ob2o55b
2ob2o55b2ob2o55b2ob2o$64b3o28bobo11bo7b3o61b4o56b4o56b4o56b4o$64bo30bo
23bo62b2o58b2o58b2o58b2o$95bo67bo59bo59bo59bo$86b2o7bo2bo63b3o3b2o52b
3o3b2o52b3o3b2o52b3o3b2o$77bo8b2o8b2o4bo2b2o54b5ob3o9b3o39b5ob3o9b3o
39b5ob3o9b3o39b5ob3o9b3o$73b2o2b2ob3o18bo3b2o2b2o54b3o9bo3b2o42b3o9bo
3b2o31bobo8b3o9bo3b2o31bobo8b3o9bo3b2o$73b2o4b4o18bo7b2o54b3o9bobo2b2o
41b3o9bobo2b2o31b2o8b3o9bobo2b2o31b2o8b3o9bobo2b2o$77b2o23b4o60bo9bo5b
o43bo9bo5bo32bo10bo9bo5bo32bo10bo9bo5bo$63bo101bo11bo2b2o43bo11bo2b2o
43bo11bo2b2o43bo11bo2b2o$62bo114bo59bo59bo59bo$62b3o114bo59bo59bo59bo$
112bo2bo56bo2bo56bo2bo56bo2bo56bo2bo$54bo61bo6b2o51bo6b2o51bo6b2o51bo
6b2o51bo6b2o$54bobo55bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b
2ob2o46bo3bo4b2ob2o$42b2o11bobo55b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o48b
4o4b4o$42b2o11bo2bo63b2o58b2o58b2o58b2o58b2o$55bobo$54bobo$54bo50b2o
181b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o$105bo28bo153bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo$97bo5bobo23b3ob2o2b2o151bo9bo9bo9b
o9bo9bo9bo9bo9bo9bo$58bo37b2o5b2o24b4o4b2o151b2o8b2o8b2o8b2o8b2o8b2o8b
2o8b2o8b2o8b2o$58bo21b2o13b2o36b2o7b2o$57bobo20b3o11b3o45b2o$56b2ob2o
21b2obo9b2o3b2o$55bo5bo20bo2bo10b2o22bo$58bo23b2obo11bo6b3o13b3o$55b2o
3b2o11b2o5b3o10bo12bo3b2o11bo$72bobo5b2o9bobo11bo3bobo10b2o$72bo19b2o
14b3o31b3o$57bo13b2o35b2o22b3o$57bo53b2o19bo9bobo$56bo53b3o20bo7b5o$
98b2o40b2o3b2o$98b2o40b2o3b2o$58b2o50b2o20b3o$58b2o27bo22b2o12b3o7bo$
86b4o33bo3bo5bo6b2o$74b2o9b2obobo6bobo22bo5bo9b2obo$74b2o8b3obo2bo3bo
3bo23bo3bo10bo$85b2obobo4bo12b2o14b3o$86b4o4bo4bo8b2o14bo2bo11b3obo$
87bo7bo29b3o15bo$95bo3bo25b2obo14bo$97bobo26bobo$127bo3$124b2o3b2o7b2o
3b2o$124bobobobo9b3o$125b5o9bo3bo$126b3o11bobo$127bo13bo4$140b2o$129b
2o9b2o$129bo$130b3o$132bo24$179b2o$179b2o2$166b2o$166b2o3$180bo$165b3o11b3o$165b3o11b3o$164bo3bo$
163bo5bo7b2o3b2o$164bo3bo8b2o3b2o$165b3o2$180b2o$179bobo$178b2o2bo$
164bobo12b2o$164bo2bo11b2o$166b2obo9bo2$166bo12bo5bo$166bob2o9bo5bo$
167bo5bo6bo3bo$175bo5b3o$171bo2bo$161b2o3b2o$162b5o4b2o$162b2ob2o$162b
2ob2o$163b3o40b2o$184b2o20b2o$184bo$185b3o$161b2o7b2o15bo$162bo3b2o4b
4o6bo$159b3o4b2o2b2ob3o7bo$159bo10bo10b3o$177b2o$177b2o3$176b3o$176b2o
bo2b2o$178b2o2b2o$178b2o20$175b3o34bo$177bo35bo$176bo34b3o3$171bo$171b
2o$170bobo20b3o$166bo25bo3bo$166b2o23bo5bo$159b3o3bobo$161bo28bo7bo$
160bo29bo7bo2$191bo5bo$192bo3bo$193b3o3$173b2o4b2o$171b2o2bo4bo68b2o
19b2o$168b5o7bob2o5b2o59bo19bo$168b5o8bo7bobo58bobo5b2o8bobo$172b2o11b
o4b3o12bo45b2o3bo3bo7b2o$172b3o8bo2bo4b3o8b4o49bo5bo$184b2o4b3o8b4o49b
2obo3bo$189bobo9bo2bo50bo5bo$189b2o10b4o51bo3bo$193bo8b4o6b2o12bo31b2o
$192bo12bo6bobo10b2o$145b3o44b3o19bo10bobo14bo$147bo30b2o34b2o27bo$
146bo31bobo60b3o$151b2o26b3o$152bo27b2o5b3o$102b2o37bo8bo26b2o8bo$102b
o38b2o7b5o14b2o6b3o8bo$90bo9bobo37bobo12bo13bo30bo$89bobo8b2o34bo15b3o
12bobo30b2o$79b2o6b2o3bo43b2o13bo15b2o9b2o9bo5b2o4b2o$78bobo4b2obo3bo
36b3o3bobo13b4o23b2o9bobo3b2o4b3o7b2o$68b2o7b3o4b3obo3bo38bo17b2o3bo3b
2o30bobo2b2o4b2o8b2o$68b2o6b3o4bo2b2obobo9b2o27bo17bo2b3o4b2o30bo2bo6b
2o$77b3o4b2o4bo10b2o46bobo38bobo7bo41b2o$78bobo65b3o2bo27b2o8bobo50b2o
$79b2o64bo5b2o25bobo8bo$101b3o41b2o31bo$92b2o8b2o39b3o31b2o38b2o$92b2o
5b2o41bobo14b2o47bo7b3o$99b3o39bo3bo14bo47b3o4bobo2bo2b2o$100bobo38b5o
11b3o5b2o44bo3b2o2b2o2b2o11bo34bo$87b2o12b2o37b2o3b2o10bo7bobo42b2o7b
2o13b3o32b3o$86bobo52b5o20b3o4b3o57bo34bo$76bo11bo53b3o22b2o4bo14bo45b
o33b2o$76bobo64bo20b2o8bo13b3o40bo2bo$65b2o12b2o9b2o72b3o3bo20bo38bo$
65b2o12b2o9b2o78b3o17b2o38bobo$79b2o6b2o6bo77bo57bo$76bobo7b3o6bo69b2o
5b2o19bo26b2o$76bo10b2o76b2o25b3o24bobo$90b2o6b2o15b3o73bo3bo14b2o3b2o
4bo6b2o3b2o$59b2o29b2o6bobo16bo31b2o39bob3obo15b3o13bobobobo$59bobo38b
o15bo31bobo40b5o15bo3bo13b5o13bobo4b2o7b2o3b2o$60b3o37b2o45b3o4b2o56bo
bo10b2o3b3o13bo2bo4bo$45b2o14b2o83b3o4bo2b4o14b3o36bo11bobo3bo13b2o7bo
bo7bo3bo$45b2o14b2o48bo35b3o4b2ob3o13bo3bo47bo17b2o3bo16b3o$59bobo49b
2o35bobo63b3o28b2o18b3o$60bo49bobo36b2o21bo5bo9b3o23b3o22b2o5bo2bo6b2o
$106bo65b2o3b2o9bo49bobo6bobo6bobo$106b2o81bo48bo19bo9b2o$57b2o3b2o35b
3o3bobo129b2o19b2o8bo$57b2o3b2o37bo19b2o54b2o33b2o3b2o50b3o$100bo11bo
7b3o54bobo33b5o10b3o40bo$59b3o50b3o4bobo2bo2b2o50bo34b3o10b2ob2o$59b3o
53bo3b2o2b2o2b2o11bo37b2o35bo11b2ob2o$45b3o12bo53b2o7b2o13b3o34bo51b5o
$44bo3bo88bo37bo2bo11b3o33b2o3b2o$43bo5bo67bo19b2o36bo13bo3bo$44bo3bo
67b3o9b2o58bo5bo$45b3o67bo3bo7bobo58b2obob2o$45b3o66bob3obo8bo44b2obob
2o36b2o$58bo56b5o97bo$56b2o116bo5bo10bo26b3o$57b2o66b2o7b3o53bobo27bo
5b2o$125bobo5bo3bo37b2ob2o10bobo34bo$43b3o15b3o61bo51bo13bo32b3o$42b2o
b2o3bo9bo3bo55b3o9bo5bo85bo$42b2ob2o4b2o6bo5bo37bo18bo9b2o3b2o52b2o$
37b2o3b5o3b2o7bo5bo37b3o15bo69b2o$37bo3b2o3b2o14bo43bo$27bo7bobo22bo3b
o40b2o25b2o43b2o$27b4o4b2o24b3o67bobo43b2o$11bo16b4o30bo68bo$10bobo5b
2o8bo2bo99b2o$3b2o3b2o3bo14b4o32b2o69bo$3b2o3b2o3bo4bobob2o3b4o21bobo
9bo16bo36b3o11bo2bo$8b2o3bo5b2o3bo2bo13b2o8bo13b3o13b2o34bo3bo13bo$10b
obo10bo18bo3b2o2bo4bo11bo12bobo33bo5bo$11bo8bo2bo15b3o4b2obo2bob2o20bo
28b2o3b2o4b2obob2o$39bo10b2o24b2o52b2obob2o$69b3o3bobo28bo3bo$42b2o27b
o35b3o20bo5bo$24b3o3bo11bobo25bo36b3o$26bo4bo11b3o85b2ob2o$25bo3b3o12b
2o75b2o10bo$41b2o68bo9bo$11b2o28b3o65b4o9b3o$11b2o4bo90bobob2o10bo$2o
6b2o6b5ob2o83bo2bob3o$2o5b3o5bo2b2o4bo17b2o64bobob2o18b2o$8b2o5b2o8bo
16b2o65b4o8b2o9b2o$11b2o4bo7bo85bo9bobo$11b2o12bo77b2o18bo$24bo8b2o69b
2o17b2o$22b2o9bobo67bo$35bo49bobo$35b2o33b3o4bo10bo$45bo24bobo4b3o4bo
4bo2b2o$46bo23b3o7bo3b2obo2bob2o11bo$44b3o23b3o6b2o7b2o13b3o$70b3o29bo
288bo$70b3o29b2o285b3o$41b2o27bobo315bo$41bo18bo9b3o27bo287b2o$32bo6bo
bo17b2o38b3o91bobo30b2o$31b2o6b2o17b2o3b2o33bo3bo90bo3bo28bobo157bo$9b
o5b2o13b2o4b2o19b3o19b2o3b2o14bo76bo19bo23b2o4b3o12bo142bobo$7bo3bo3b
3o11b3o4b2o20b2o20b5o3b2o7bo5bo38bo32b4o14bo4bo4b2o12b4o2bo4b3o8b4o4bo
136bo3bo$11bo5b2obo9b2o4b2o11b2o8b2o5b2o12b2ob2o4b2o6bo5bo36b3o31bobob
2o4bo12bo5b2o12b3ob2o4b3o8b4o5bo137b3o$6bo5bo4bo2bo10b2o15bobo9bo5bobo
11b2ob2o3bo9bo3bo36bo29b2o2bo2bob3o5b2obo3bo3bo28bobo9bo2bo9b2o130b2o
3b2o$6b2o9b2obo11bo6b3o6bo19bo12b3o15b3o37b2o9b2o17b2o3bobob2o5b4obo2b
obo30b2o10b4o9b2o$15b3o10bo12bo5b2o19b2o46bo33b2o23b4o6b2o2b2o39bo8b4o
122b2o$15b2o9bobo11bo54b2o19b3o58bo27b2o8b2o12bo12bo93bo29bo$27b2o65b
2o23bo85b2o8b2o12b3o101b4o29bobo6bobo$42b2o52bo10b2o9b2o95b2o115b4o16b
o14b2o5bo2bo4bo$41bobo39b3o21b2o106bo11b2o96b2o5bo2bo8b2o5bobo19b2o5b
2o$40b3o40b3o48b2o3b2o54b2o9b2o6bobo10bobo95b2o5b4o14bo3b2o15b2o3bo9bo
$33b2o5b2o40bo3bo47bo5bo54b2o7bob2o6bob2o9bo105b4o3b2obobo4bo3b2o17b2o
11bo$33b2o8b2o36bo5bo116bo131bo2bo3b2o5bo3b2o18bo2bo$42b3o37bo3bo48bo
3bo51bo12bo17bo117bo10bobo3b2o16bobo18b2o$22bo60b3o12bo37b3o34b2o16b2o
11bo2bo7b2o5bobo98b2o15bo2bo8bo4bobo37bo$21b4o72b3o6b3o11b3o50b2o15bob
o12b2o8b2o5b2o98bobo34bo37bobo10bo$20b2obobo6bobo7b2o53b3o5b2ob2o9bo3b
o25b5o92b2o73b3o35b2o37b2o9bobo$9b2o8b3obo2bo3bo3bo7b2o61b2ob2o8bo5bo
23bob3obo79b3o2bo5bo3bo71b2o86b2obo7b2o$9b2o9b2obobo4bo64b2o3b2o3b5o8b
o5bo24bo3bo76bo3bo9bo5bo73b2o7bo61b2o12b2ob2o6bobo$21b4o4bo4bo60b2o3b
2o2b2o3b2o10bo28b3o75bobo4bo8bo3bob2o2b2o67b3o6bo61b2o13b2obob3o6bo$
22bo7bo88bo3bo27bo21bo52b2o16bo5bo3b2o76b3o2b3o56bo12bobo2bo2bo2bo2bo
7b2o$30bo3bo6b2o77b3o17bo30b2ob2o7b2o41b2o17bo3bo87bo72bo4b2o6bo7b2o$
32bobo6bobo42b2o10bo7b2o13bo16bobo43b2o40b2o18b2o75b2o13bo81bobo$43bo
42bo10bobo5b5o29b2o29bo5bo6bo37b2o5bobo92b2o95b2o$43b2o42b3o9b2o4bo47b
o66bobo7bo120b2o$89bo9b2o6b3o12b3o10bo17bo16b2obob2o43bo99b2o24bo4b2o
42b2o10bobo$98b3o8bo12b3o9b3o15bobo63b3o99bo19b2ob5o6b2o39b2o10b2o$97b
obo7b2o12bo3bo7b5o13b2ob2o46b2o13bo93bo6bobo18bo4b2o2bo5b3o5b2o44bo$
97b2o8b2o6bobo14b2o3b2o6b2o3bo5bo19b2o24bo4bo9b2o92bobo4b2o18bo8b2o5b
2o6b2o40b2o$115b2o3b2o3b2o6b5o7b2o6bo21bobo15bo6bobo4bobo61b2o39bobo
23bo7bo4b2o43b2o6b2o22b2o$116bo16bo3bo12b2o3b2o19bo16bobo4b2o5b2o5b3o
54b2o26b2o11bo2bo22bo12b2o41bob2o30bo$102b2o3b2o25bobo38b2o17bobo17b3o
33b2o16b2o10bo4bo13b2o11bobo14b2o8bo54bo16bo7bo6bobo$102bobobobo3b2o
19b3o39b3o3b2o11bo2bo52b2o8b2o5b3o10bo4bobo23bobo14bobo9b2o52bo15b4o5b
obo4b2o$103b5o4b2o18b2o5bo14bo21b2o3b2o11bobo63b2o6b2o10bo7b2o21bo16bo
65bo2bo7b2o2bo2b2o8b2o$104b3o26bo4bo15bo19bo18bobo11bo63b2o2b2o11b2o4b
2o31b2o66b2o8b2o2b2o11b2o$105bo24b3o5b3o14bo37bo12bo5b2o3b2o52b2o2bo2b
2o8b2o4b2o106b2o10bo7b2o$130bo75b3o4b5o58b4o5bobo113b3o10bo4bobo$125b
2o87b3o41b2o17bo7bo116b2o10bo4bo$125bo26b2o21bo17bobo19bo42b2o136b2o7b
2o$126b3o14bo8b2o20b3o16b2o200bobo7b2o$102b2o17bo6bo10b2o2b2ob3o24b5o
16bo63bo60b2o74bo$103bo18b2o15b2o4b4o23b2o3b2o78bobo8bobo3bo44bobo72b
2o$100b3o18b2o20b2o28b5o71b3o5bo2bo7b2o3b2o45b3o4b3o75b2o$100bo72bo3bo
70bo3bo5bo2bo7bo3bobo21b2o22b2o4bo78bo$76bo30bo66bobo32b3o5b2o28bo5bo
43bo20b2o8bo77bobo5b2o$74b3o30b3o65bo28b2o3bo7bo30bo3bo5bo2bo24b2o7bob
o20b3o86b2o5bobo$73bo36bo93bobo3bo7b3o28b3o6b2o26bobo6b2o118b3o12bo$
73b2o9b2o12b2o9b2o5bo88b3o12bo28b3o24bo4b2o6bo37b3o86b3o8b4o$84b2o12b
2o16b3o56b2o29b2o67bobo2bo2bo2bo2bo13bo15b2o8bo85b3o8b4o9b2o$113bo5bo
55b2o26b2o10b2o58b2obob3o6bo12bo16b2o7bo6b2o69b2o6bobo9bo2bo9b2o$113bo
4b2o83b3o9b2o58b2ob2o6bobo13b3o30bobo67bobo6b2o10b4o5bo$275b2obo7b2o8b
obo36bo68b3o11bo8b4o4bo$122bo124b3o15b2o8bobo18b2o106b2o11bo12bo$85bo
23b2o3b2o6bo81b2o40b2ob2o3bo9bobo9bo20bo109b2o8b3o$71bo13bo24b5o6bo82b
2o40b2ob2o4b2o7bo55b2o84b3o$70b3o11bobo24b3o22bo109b5o3b2o7b2o54bobo$
69b5o9b2ob2o24bo24b2o69b2o35b2o3b2o69bo$68b2o3b2o7bo5bo6b2obob2o16b2o
3b2o11b2o69bobo100bo20b2o9b3o9b2o31b2o17b2o$69b5o11bo32bo5bo52bo31bo
99b4o18bo10bo9bo2bo30b3o17b2o$69bo3bo8b2o3b2o6bo5bo75bobo44b3o81b2obob
o6bobo6bobo5bo5bo7bo34b2obo$70bobo46bo3bo53b2o45bo82b3obo2bo3bo3bo6b2o
4b4o12bo35b3o44b2o$71bo24b2ob2o19b3o102bo82b2obobo4bo15bobob2o11bo36bo
33b3o2bo5bo3bo$84b4o10bo92bo8b2o14b2o19bo61b2o8b4o4bo4bo10bo2bob3o11bo
2bo5b2o55bo3bo9bo5bo3b2o$83b2o2bo23bo77bobo6bo2bo14bo20b2o11b2o46bobo
9bo7bo14b2obob2o14b2o5bobo52bobo4bo8bo3bob2o2b2o$69bo13b2obo22b2o66bo
10bobo7bo3bo2b2o7bobo9bo5b2o4b2o10bo47bo19bo3bo8b3ob4o24bo50b2o16bo5bo
$67b2ob2o38b2o24bobo37bo10bo2bo7bo2b2o2b3o6b2o10bobo3b2o4b3o10b3o43b2o
21bobo7bobo4bo25b2o49b2o17bo3bo$76bo7b2o37b2o12b2o37b3o9bobo16b2obo16b
obo2b2o4b2o13bo76bo83b2o18b2o$66bo5bo4bo6bo38bo13bo46b2o3bobo4b3o8bo2b
o16bo2bo6b2o7b2o81b2o78b2o5bobo$75b3o46b3o36bobo17bobo5bo15b2obo16bobo
7bo8bobo159bobo7bo$66b2obob2o22b3o28bo36b2o18bo21b3o8b2o8bobo19bo159bo
$84b2obob2o3bo3bo12b2o3b2o33bo12bo17b2o21b2o8bobo8bo21b2o157b2o$78bo5b
o5bo12b2o8b3o36b2o61bo$77bo7bo3bo3bo5bo3b2o7bo3bo34b2o61b2o$77b3o6b3o
4b2o3b2o13bobo169b2o58b2o$114bo169b4o56b4o$284b2ob2o55b2ob2o$66b2o28bo
11bobo5b2o65b2o58b2o41b2o15b2o41b2o15b2o$67bo27bobo11b2o5bo64b2ob2o55b
2ob2o55b2ob2o55b2ob2o$64b3o28bobo11bo7b3o61b4o56b4o56b4o56b4o$64bo30bo
23bo62b2o58b2o58b2o58b2o$95bo67bo59bo59bo59bo$86b2o7bo2bo63b3o3b2o52b
3o3b2o52b3o3b2o52b3o3b2o$77bo8b2o8b2o4bo2b2o54b5ob3o9b3o39b5ob3o9b3o
39b5ob3o9b3o39b5ob3o9b3o$73b2o2b2ob3o18bo3b2o2b2o54b3o9bo3b2o42b3o9bo
3b2o31bobo8b3o9bo3b2o31bobo8b3o9bo3b2o$73b2o4b4o18bo7b2o54b3o9bobo2b2o
41b3o9bobo2b2o31b2o8b3o9bobo2b2o31b2o8b3o9bobo2b2o$77b2o23b4o60bo9bo5b
o43bo9bo5bo32bo10bo9bo5bo32bo10bo9bo5bo$63bo101bo11bo2b2o43bo11bo2b2o
43bo11bo2b2o43bo11bo2b2o$62bo114bo59bo59bo59bo$62b3o114bo59bo59bo59bo$
112bo2bo56bo2bo56bo2bo56bo2bo56bo2bo$54bo61bo6b2o51bo6b2o51bo6b2o51bo
6b2o51bo6b2o$54bobo55bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b2ob2o46bo3bo4b
2ob2o46bo3bo4b2ob2o$42b2o11bobo55b4o4b4o48b4o4b4o48b4o4b4o48b4o4b4o48b
4o4b4o$42b2o11bo2bo63b2o58b2o58b2o58b2o58b2o$55bobo$54bobo$54bo50b2o
181b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o$105bo28bo153bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo$97bo5bobo23b3ob2o2b2o151bo9bo9bo9b
o9bo9bo9bo9bo9bo9bo$58bo37b2o5b2o24b4o4b2o151b2o8b2o8b2o8b2o8b2o8b2o8b
2o8b2o8b2o8b2o$58bo21b2o13b2o36b2o7b2o$57bobo20b3o11b3o45b2o$56b2ob2o
21b2obo9b2o3b2o$55bo5bo20bo2bo10b2o22bo$58bo23b2obo11bo6b3o13b3o$55b2o
3b2o11b2o5b3o10bo12bo3b2o11bo$72bobo5b2o9bobo11bo3bobo10b2o$72bo19b2o
14b3o31b3o$57bo13b2o35b2o22b3o$57bo53b2o19bo9bobo$56bo53b3o20bo7b5o$
98b2o40b2o3b2o$98b2o40b2o3b2o$58b2o50b2o20b3o$58b2o27bo22b2o12b3o7bo$
86b4o33bo3bo5bo6b2o$74b2o9b2obobo6bobo22bo5bo9b2obo$74b2o8b3obo2bo3bo
3bo23bo3bo10bo$85b2obobo4bo12b2o14b3o$86b4o4bo4bo8b2o14bo2bo11b3obo$
87bo7bo29b3o15bo$95bo3bo25b2obo14bo$97bobo26bobo$127bo3$124b2o3b2o7b2o
3b2o$124bobobobo9b3o$125b5o9bo3bo$126b3o11bobo$127bo13bo4$140b2o$129b
2o9b2o$129bo$130b3o$132bo!
I would translate the first one approximately 1000 cells forward so the breeders wouldn't interact, but a LifeViewer glitch prevented it from being shown when I tried it with a 500-cell translation.

Two questions:
1. How would such a thing be cubic growth?
2. Why is cubic growth impossible in 2D space?

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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muzik
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Re: Discussion thread for infinite growth patterns

Post by muzik » July 20th, 2016, 7:04 am

Linear growth is things like puffers, guns and rakes. Quadratic growth is breeders. Cubic growth would be a thing that creates an infinite amount of breeders.

It's not possible to have cubic growth in a 2D CA since the things would eventually crash into each other, no matter how much space is between anything.


But here's a challenge: make an MMM breeder whose final output is glider rakes, whose glider output is destroyed by another spaceship, making the rake a spaceship. Closest thing to cubic growth you can get I'm afraid.

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Re: Discussion thread for infinite growth patterns

Post by calcyman » July 20th, 2016, 7:09 am

It's possible to have an MMM...M breeder (with arbitrarily many 'M's), provided the output of each rake grows increasingly sparse. A bunch of moving caber tossers will suffice.
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Re: Discussion thread for infinite growth patterns

Post by Apple Bottom » July 20th, 2016, 1:39 pm

Gamedziner wrote:2. Why is cubic growth impossible in 2D space?
Because growth can only propagate at the speed of light (at most), and the amount of space reachable from a given starting pattern in n generations grows quadratically in two dimensions.

Put more succinctly, in two dimensions there's simply not enough room for cubic growth. (And in three dimensions there'd not be enough room for quartic growth, and so on.)
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muzik
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Re: Discussion thread for infinite growth patterns

Post by muzik » July 20th, 2016, 2:43 pm

calcyman wrote:It's possible to have an MMM...M breeder (with arbitrarily many 'M's), provided the output of each rake grows increasingly sparse. A bunch of moving caber tossers will suffice.
I doubt that would be classed as cubic growth though.

So, how about building an example?

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Re: Discussion thread for infinite growth patterns

Post by biggiemac » July 20th, 2016, 2:49 pm

The caber tosser suggestion is a good one, because N log^M(N) is o(N^2) for all M. As long at most one of the infinite growth patterns does so linearly, and the rest logarithmically, there is no mathematical impossibility of a superbreeder. The engineering of such a thing would probably be difficult. It definitely would not be cubic growth, it would be linear*polylogarithmic growth.

Explicitly, Gamedziner, consider what happens if you keep stacking those rake guns with the same spacing. After a tall enough stack, the output of the top one will crash into the next one released from the bottom, which can only be avoided by making the guns wait longer. It the wait amount is some fixed number of generations, you just buy yourself a bigger stack before it is a problem. However, if the wait amount grows every time, like with a caber tosser controlling the release of a rake, it could always wait long enough to stay safe from whatever the highest yet-built gun's rake is doing.
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Re: Discussion thread for infinite growth patterns

Post by M. I. Wright » July 20th, 2016, 5:44 pm

muzik wrote:I doubt that would be classed as cubic growth though.
Of course it wouldn't, but Gamedziner never specified cubic growth in his original request.

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Re: Discussion thread for infinite growth patterns

Post by Gamedziner » July 20th, 2016, 7:40 pm

Got it. I'm mainly interested in the idea of a super-breeder because I haven't heard of them being made.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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Re: Discussion thread for infinite growth patterns

Post by dvgrn » July 20th, 2016, 7:57 pm

Gamedziner wrote:Got it. I'm mainly interested in the idea of a super-breeder because I haven't heard of them being made.
Well, each new construction stage is exponentially harder than the last, as a general rule. At the super-breeder stage you have to put together something that starts constructing a series of something-elses that each start constructing a series of something-else-agains.

If each stage is ten or a hundred times harder than the previous one, you can kind of see why people have looked at the super-breeder engineering problem and said... "I sure hope somebody else solves that one."

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Re: Discussion thread for infinite growth patterns

Post by FlameandFury » July 22nd, 2016, 5:07 pm

Any ideas about a 3c/7 puffer/rake? I've got a promising 2G>Pi with the spaghetti monster. Any more results?
EDIT: Wrong RLE :/
EDIT2 : Wrong speed too :/

Code: Select all

x = 50, y = 140, rule = B3/S23
$18bo7bo$17bobo5bobo$16b2ob2o3b2ob2o$17bobo5bobo$15bob2o3bo3b2obo$15b
7ob7o$19b7o$18bob2ob2obo$15b2obo7bob2o$14b3ob2o5b2ob3o$13bo17bo$16bob
2o5b2obo2$20bo3bo$15bob3o5b3obo$16bob3o3b3obo$20bo3bo$19b2o3b2o$18b2o
5b2o$17b3o5b3o$14b4o9b4o$13bo17bo$12b2o3b2o7b2o3b2o$13bobobobo5bobobob
o$13b3o2b3o3b3o2b3o$18bo7bo$13bo17bo2$13bobobo9bobobo$15b3o9b3o$12bob
3o2bo5bo2b3obo$13b2ob3o7b3ob2o$17b2o7b2o$17bob2o3b2obo$17bo3bobo3bo$9b
3o5bo3bobo3bo5b3o$9bob2o6bo5bo6b2obo$9bo2bo3b2ob2o3b2ob2o3bo2bo$12bo2b
2o3bo3bo3b2o2bo$16bo2bo5bo2bo$11bobobobo9bobobobo$9b2obo19bob2o$15bo
13bo$12b2o17b2o2$11bo21bo$10b2o21b2o$9b2o23b2o2$9b2o23b2o$10bo23bo$11b
o4bobo7bobo4bo$10b3o4bob2o3b2obo4b3o$10b3o2bobob2o3b2obobo2b3o$15bo2b
2o5b2o2bo$14b4o9b4o2$12b2o17b2o$12b2o2b2o9b2o2b2o$13bo2bobo7bobo2bo$
10bo2bobo2bo3bo3bo2bobo2bo$10bo4bo3bob3obo3bo4bo$11bobobo4bobobo4bobob
o$13bobo4bo3bo4bobo$11b4o2bobo5bobo2b4o$11b3ob2ob2ob3ob2ob2ob3o$20b5o$
17bobo5bobo$17bob2o3b2obo$22bo$22bo$16b2o9b2o$16b2obo5bob2o$16bob2obob
ob2obo$18b2obobob2o$15bobobobobobobobo$15b2o2bo5bo2b2o$16bob2o5b2obo$
18b2o5b2o$17bo9bo$17b3o5b3o4$18bo7bo$17b2obo3bob2o$17bo2bo3bo2bo$17b3o
5b3o$19b3ob3o$20b2ob2o$21bobo$20b2ob2o$18b2o2bo2b2o$22bo$17b2o7b2o$16b
3obo3bob3o$15bo2bo7bo2bo$16bo11bo$17bo9bo$14b2ob2o7b2ob2o$17bo9bo$13bo
3b2o7b2o3bo$14b6o5b6o$18bo7bo$17b2obo3bob2o$18bob2ob2obo$17bo9bo$18bob
o3bobo$16bobobo3bobobo$18bob5obo$17b2ob2ob2ob2o$17b4o3b4o$16bo2bo5bo2b
o$15bo2bo7bo2bo$16bob2o5b2obo$14bob2o9b2obo$14b2o13b2o$14b2o13b2o$15b
2o2b3ob3o2b2o$15b2o2b2o3b2o2b2o$18b2o5b2o$15bo2bo7bo2bo$15bo2bo7bo2bo$
14b2obo9bob2o$14bo2bo3b3o3bo2bo$14bo2bo3b3o3bo2bo$17bo2bo3bo2bo$13b2ob
o4b3o4bob2o$12b6o3bobo3b6o$12bo19bo$16bo2b3ob3o2bo$16bo3bo3bo3bo8b3o$
16bo11bo8bo$21b3o14bo3b2o$22bo19bobo$19b3ob3o16bo$20b2ob2o!
Last edited by FlameandFury on July 22nd, 2016, 7:46 pm, edited 1 time in total.
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muzik
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Re: Discussion thread for infinite growth patterns

Post by muzik » July 22nd, 2016, 5:20 pm

Apparently the lowest possible period for a rake or something would only be possible through 3c/7 orthogonal technology, so seems like making that record is high priority here

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Re: Discussion thread for infinite growth patterns

Post by FlameandFury » July 22nd, 2016, 5:42 pm

A second spaghetti monster can perturb the pi explosion to form a herschel among other debris, which means that a glider is formed. I'm also messing with some side sparks.

Code: Select all

x = 105, y = 186, rule = B3/S23
8$23bo7bo$22bobo5bobo$21b2ob2o3b2ob2o$22bobo5bobo$20bob2o3bo3b2obo$20b
7ob7o$24b7o$23bob2ob2obo$20b2obo7bob2o$19b3ob2o5b2ob3o$18bo17bo$21bob
2o5b2obo2$25bo3bo$20bob3o5b3obo$21bob3o3b3obo$25bo3bo$24b2o3b2o$23b2o
5b2o$22b3o5b3o$19b4o9b4o$18bo17bo$17b2o3b2o7b2o3b2o$18bobobobo5bobobob
o$18b3o2b3o3b3o2b3o$23bo7bo$18bo17bo2$18bobobo9bobobo$20b3o9b3o$17bob
3o2bo5bo2b3obo$18b2ob3o7b3ob2o30bo7bo$22b2o7b2o33b3o5b3o$22bob2o3b2obo
33bobo5bobo$22bo3bobo3bo31bobo4bo4bobo$14b3o5bo3bobo3bo5b3o23b2o4bobo
4b2o$14bob2o6bo5bo6b2obo28bobobo$14bo2bo3b2ob2o3b2ob2o3bo2bo27b2o3b2o$
17bo2b2o3bo3bo3b2o2bo29b3o3b3o$21bo2bo5bo2bo29b2o2bo7bo2b2o$16bobobobo
9bobobobo24b2obo9bob2o$14b2obo19bob2o22bo15bo$20bo13bo30bob2o5b2obo$
17b2o17b2o26b2ob2o5b2ob2o$69bo3bo$16bo21bo26bo11bo$15b2o21b2o24bo4bo3b
o4bo$14b2o23b2o27b2o3b2o$68b2o3b2o$14b2o23b2o23bo3bo5bo3bo$15bo23bo24b
o3bo5bo3bo$16bo4bobo7bobo4bo24b2o13b2o$15b3o4bob2o3b2obo4b3o22b2o2bo9b
o2b2o$15b3o2bobob2o3b2obobo2b3o25b3o7b3o$20bo2b2o5b2o2bo28b2o2b2o5b2o
2b2o$19b4o9b4o24bo2b2obo2bo3bo2bob2o2bo$60bo4b2obo5bob2o4bo$17b2o17b2o
23b3o2bo9bo2b3o$17b2o2b2o9b2o2b2o24b2ob3o7b3ob2o$18bo2bobo7bobo2bo25b
2o2b2o7b2o2b2o$15bo2bobo2bo3bo3bo2bobo2bo22b2o15b2o$15bo4bo3bob3obo3bo
4bo22b2o2b3o5b3o2b2o$16bobobo4bobobo4bobobo27bo9bo$18bobo4bo3bo4bobo
25b2o15b2o$16b4o2bobo5bobo2b4o27bo2bo3bo2bo$16b3ob2ob2ob3ob2ob2ob3o27b
2ob2ob2ob2o$25b5o28b3o7bo5bo7b3o$22bobo5bobo25bo2bo6bo5bo6bo2bo$22bob
2o3b2obo28b2ob2ob2obobob2ob2ob2o$27bo29bo2bob2obo2bobobobo2bob2obo2bo$
27bo35bobo11bobo$21b2o9b2o24bobobo17bobobo$21b2obo5bob2o25bo2b4o11b4o
2bo$21bob2obobob2obo$23b2obobob2o31bo15bo$20bobobobobobobobo26bo19bo$
20b2o2bo5bo2b2o24b2o21b2o$21bob2o5b2obo25b2o21b2o$23b2o5b2o27b3o19b3o$
22bo9bo26bob2o17b2obo$22b3o5b3o25b2o2b2o15b2o2b2o$61b3o15b3o$61b3o2b3o
5b3o2b3o$61b3o2bobo5bobo2b3o$23bo7bo29b2ob2o2bo5bo2b2ob2o$22b2obo3bob
2o28b2obo13bob2o$22bo2bo3bo2bo29bo4bo7bo4bo$22b3o5b3o29bo17bo$24b3ob3o
29bo21bo$25b2ob2o30bo4b3o7b3o4bo$26bobo32bo3bo11bo3bo$25b2ob2o31bo4bo
4bo4bo4bo$23b2o2bo2b2o29b3o2bo3b3o3bo2b3o$27bo31bo6bo2b2ob2o2bo6bo$22b
2o7b2o27b3ob3o3b3o3b3ob3o$21b3obo3bob3o33b2ob3ob2o$20bo2bo7bo2bo29bo2b
2o5b2o2bo$21bo11bo32b2o7b2o$22bo9bo34b2o5b2o$19b2ob2o7b2ob2o33bobobo$
22bo9bo37b3o$18bo3b2o7b2o3bo30b2o5b2o$19b6o5b6o29b2ob7ob2o$23bo7bo32bo
5bobo5bo$22b2obo3bob2o31bo4bo3bo4bo$23bob2ob2obo38bobo$22bo9bo30b5ob2o
b2ob5o$23bobo3bobo35bob2ob2obo$21bobobo3bobobo31bo2b2o3b2o2bo$23bob5ob
o32bo3b3ob3o3bo$22b2ob2ob2ob2o31bo3bo5bo3bo$22b4o3b4o34b2o5b2o$21bo2bo
5bo2bo$20bo2bo7bo2bo$21bob2o5b2obo32bo9bo$19bob2o9b2obo31b2o5b2o$19b2o
13b2o32b2o3b2o$19b2o13b2o30b3o5b3o$20b2o2b3ob3o2b2o34bo3bo$20b2o2b2o3b
2o2b2o31bo2bo3bo2bo$23b2o5b2o38bobo$20bo2bo7bo2bo33bobobobo$20bo2bo7bo
2bo33b2obob2o$19b2obo9bob2o32b2o3b2o$19bo2bo3b3o3bo2bo32b2o3b2o$19bo2b
o3b3o3bo2bo30bobobobobobo$22bo2bo3bo2bo32b2o9b2o$18b2obo4b3o4bob2o28bo
2bo5bo2bo$17b6o3bobo3b6o25bobo11bobo$17bo19bo25bo3bo7bo3bo$21bo2b3ob3o
2bo32bo9bo$21bo3bo3bo3bo8b3o18b2ob2o7b2ob2o$21bo11bo8bo20b2o2b2o5b2o2b
2o$26b3o14bo3b2o14bo3b2o5b2o3bo$27bo19bobo12b2o5bo3bo5b2o$24b3ob3o16bo
14b2obobobo3bobobob2o$25b2ob2o34b2obo2bobo2bob2o$64b2obob2ob2obob2o$
66b2o3bo3b2o$67bobo3bobo$69bo3bo$66bobo5bobo$66bobo5bobo$66bo9bo$65bo
11bo$64bob2o7b2obo$63b2ob2o7b2ob2o$64bob3o5b3obo$64b2o2b2o3b2o2b2o$65b
ob2o5b2obo$66b2o7b2o$66bo9bo$64bo13bo$64b3o9b3o$71bo$65bo4bobo4bo$64b
2o3bo3bo3b2o$64bo5b3o5bo$61b2o8bo8b2o$61bo4b2o2bobo2b2o4bo$61b2o3bo3bo
bo3bo3b2o$60b5ob2o7b2ob5o$69b2ob2o$62bo4bo7bo4bo$63bo5bo3bo5bo$64bo4b
5o4bo$66bo3bobo3bo$69b2ob2o!
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BlinkerSpawn
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Re: Discussion thread for infinite growth patterns

Post by BlinkerSpawn » July 22nd, 2016, 5:46 pm

muzik wrote:Apparently the lowest possible period for a rake or something would only be possible through 3c/7 orthogonal technology, so seems like making that record is high priority here
As I believe somebody's said before, that's an entirely different search.
The "holy grail rake" needed to be a 3c/7 glider backrake.
This output stream would need to come from the back, or it would break the rake, and at such a low period, the glider-making reaction would need to be essentially built into the ship.
Which means that you'd have to find such a ship back-to-front, and from what I've heard that's hideously slow and difficult.
On a mildly related note, FlameAndFury, since it took so long to find the Spaghetti Monster, we may not find 3c/7 puffer engines for some time. Our best bet for puffers with the current state of technology is to find something akin to the 2c/5 puffer and work from there.
Such a construct would be very high-period, but it's something.
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FlameandFury
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Re: Discussion thread for infinite growth patterns

Post by FlameandFury » July 22nd, 2016, 5:48 pm

BlinkerSpawn wrote: On a mildly related note, FlameAndFury, since it took so long to find the Spaghetti Monster, we may not find 3c/7 puffer engines for some time. Our best bet for puffers with the current state of technology is to find something akin to the 2c/5 puffer and work from there.
Such a construct would be very high-period, but it's something.
Yeah, I'm experimenting with distaff-esque reactions. The results are pretty promising, especially because of the multiple sparks of the spaghetti monster.
Last edited by FlameandFury on July 22nd, 2016, 6:27 pm, edited 1 time in total.
what is sesame oil?

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BlinkerSpawn
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Re: Discussion thread for infinite growth patterns

Post by BlinkerSpawn » July 22nd, 2016, 6:06 pm

Those quote tags don't look right.
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FlameandFury
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Re: Discussion thread for infinite growth patterns

Post by FlameandFury » July 22nd, 2016, 6:28 pm

:oops:
what is sesame oil?

Gamedziner
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Re: Discussion thread for infinite growth patterns

Post by Gamedziner » July 22nd, 2016, 7:39 pm

FlameandFury wrote:Any ideas about a 3/7c puffer/rake? I've got a promising 2G>Pi with the spaghetti monster. Any more results?
EDIT: Wrong RLE :/

Code: Select all

x = 50, y = 140, rule = B3/S23
$18bo7bo$17bobo5bobo$16b2ob2o3b2ob2o$17bobo5bobo$15bob2o3bo3b2obo$15b
7ob7o$19b7o$18bob2ob2obo$15b2obo7bob2o$14b3ob2o5b2ob3o$13bo17bo$16bob
2o5b2obo2$20bo3bo$15bob3o5b3obo$16bob3o3b3obo$20bo3bo$19b2o3b2o$18b2o
5b2o$17b3o5b3o$14b4o9b4o$13bo17bo$12b2o3b2o7b2o3b2o$13bobobobo5bobobob
o$13b3o2b3o3b3o2b3o$18bo7bo$13bo17bo2$13bobobo9bobobo$15b3o9b3o$12bob
3o2bo5bo2b3obo$13b2ob3o7b3ob2o$17b2o7b2o$17bob2o3b2obo$17bo3bobo3bo$9b
3o5bo3bobo3bo5b3o$9bob2o6bo5bo6b2obo$9bo2bo3b2ob2o3b2ob2o3bo2bo$12bo2b
2o3bo3bo3b2o2bo$16bo2bo5bo2bo$11bobobobo9bobobobo$9b2obo19bob2o$15bo
13bo$12b2o17b2o2$11bo21bo$10b2o21b2o$9b2o23b2o2$9b2o23b2o$10bo23bo$11b
o4bobo7bobo4bo$10b3o4bob2o3b2obo4b3o$10b3o2bobob2o3b2obobo2b3o$15bo2b
2o5b2o2bo$14b4o9b4o2$12b2o17b2o$12b2o2b2o9b2o2b2o$13bo2bobo7bobo2bo$
10bo2bobo2bo3bo3bo2bobo2bo$10bo4bo3bob3obo3bo4bo$11bobobo4bobobo4bobob
o$13bobo4bo3bo4bobo$11b4o2bobo5bobo2b4o$11b3ob2ob2ob3ob2ob2ob3o$20b5o$
17bobo5bobo$17bob2o3b2obo$22bo$22bo$16b2o9b2o$16b2obo5bob2o$16bob2obob
ob2obo$18b2obobob2o$15bobobobobobobobo$15b2o2bo5bo2b2o$16bob2o5b2obo$
18b2o5b2o$17bo9bo$17b3o5b3o4$18bo7bo$17b2obo3bob2o$17bo2bo3bo2bo$17b3o
5b3o$19b3ob3o$20b2ob2o$21bobo$20b2ob2o$18b2o2bo2b2o$22bo$17b2o7b2o$16b
3obo3bob3o$15bo2bo7bo2bo$16bo11bo$17bo9bo$14b2ob2o7b2ob2o$17bo9bo$13bo
3b2o7b2o3bo$14b6o5b6o$18bo7bo$17b2obo3bob2o$18bob2ob2obo$17bo9bo$18bob
o3bobo$16bobobo3bobobo$18bob5obo$17b2ob2ob2ob2o$17b4o3b4o$16bo2bo5bo2b
o$15bo2bo7bo2bo$16bob2o5b2obo$14bob2o9b2obo$14b2o13b2o$14b2o13b2o$15b
2o2b3ob3o2b2o$15b2o2b2o3b2o2b2o$18b2o5b2o$15bo2bo7bo2bo$15bo2bo7bo2bo$
14b2obo9bob2o$14bo2bo3b3o3bo2bo$14bo2bo3b3o3bo2bo$17bo2bo3bo2bo$13b2ob
o4b3o4bob2o$12b6o3bobo3b6o$12bo19bo$16bo2b3ob3o2bo$16bo3bo3bo3bo8b3o$
16bo11bo8bo$21b3o14bo3b2o$22bo19bobo$19b3ob3o16bo$20b2ob2o!
Uh... You made another mistake. You put 3/7c instead of 3c/7.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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