## t^1.5 Growth

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Extrementhusiast
Posts: 1832
Joined: June 16th, 2009, 11:24 pm
Location: USA

### t^1.5 Growth

I constructed a pattern that exhibits O(t^1.5) growth, which uses a variant of Callahan's extensible delay line memory. Here it is:

Code: Select all

``````x = 832, y = 282, rule = B3/S23
285b2o5bo2bo\$284b4o8bo\$284b2ob2o3bo3bo\$286b2o5b4o3\$276bo\$274bo2bo13b2o
\$274bo3bo11b2ob2o\$274bo3bo12bo2bo\$274bo3bo12bo2bo\$275bobo3b2o9b2o\$276b
o4b2o2\$292bo2bo\$296bo\$292bo3bo66bo2bo41b4o\$277bo15b4o70bo39bo3bo\$276b
2o85bo3bo43bo\$276bobo85b4o39bo2bo\$432b2o\$268b2o28b2o28b2o28b2o44b3o10b
o12b2ob2o\$268b2o28b2o28b2o28b2o46bo10bo8bo3b4o\$405bo15b2o2bobo3b2o\$
412b2o6bo2b2o3bo\$272b2o28b2o28b2o28b2o28b2o27b2o2bobo3b2o\$272b2o28b2o
28b2o28b2o28b2o15b3o5bo8bo3b4o\$411bo5bo12b2ob2o\$410bo21b2o5b2o5b4o\$
437b2ob2o3bo3bo\$437b4o8bo\$414b3o21b2o5bo2bo\$322bo25b2o66bo\$321b2o24b4o
64bo27b2o\$321bobo23b2ob2o75bob2o11b5o\$338b3ob2o5b2o51b2o21bo5bo10bo4bo
\$337b2o5bo29b3o10bo12b2ob2o14b3o9bo10b3o2bo\$336bo7b2o30bo10bo8bo3b4o
17bo3bo5bo11bo2b2o\$326b3o8b2o5bo30bo15b2o2bobo3b2o17bo5bo3bo2b2o9b2o\$
320b2o16b3ob2o5b2o14b2o15b2o6bo2b2o3bo28b3o3b2o\$321bobo2b2o4b3o12b2ob
2o4b4o4b4o23b2o2bobo3b2o\$322bo10b2o12b4o4bo3bo4b2ob2o10b3o5bo8bo3b4o\$
348b2o9bo6b2o13bo5bo12b2ob2o41b4o\$332bo22bo2bo16bo4bo21b2o5b2o5b4o8bo
2bo13bo3bo\$373bo3bo29b2ob2o3bo3bo12bo16bo\$378bo28b4o8bo8bo3bo12bo2bo\$
337bo18b2o15bo4bo5b3o21b2o5bo2bo10b4o\$337b2o17bo7b2o8b5o7bo\$336bobo17b
o2bo5b2o18bo27b2o\$357b3o4b2o31bob2o11b5o\$331b4o8bo15b2o3bo30bo5bo10bo
4bo\$330b6o7bo45b3o9bo10b3o2bo\$330b4ob2o6bobo45bo3bo5bo11bo2b2o\$334b2o
8bo20b2o23bo5bo3bo2b2o9b2o\$344b2o18b4o29b3o3b2o\$364b2ob2o\$349b2o15b2o\$
347b2ob2o64b4o\$347b4o47bo2bo13bo3bo\$348b2o52bo16bo\$398bo3bo12bo2bo\$
399b4o3\$321b2o\$320b4o\$320b2ob2o\$322b2o15b2o\$337b2ob2o\$317b2o18b4o\$317b
o20b2o\$316bobo\$316bo\$316bo15b2o3bo\$330b3o4b2o\$309bobo17bo2bo5b2o\$310b
2o17bo7b2o\$310bo18b2o\$296b3o\$295b5o\$295b3ob2o3bobo21bo2bo\$298b2o5b2o
25bo6b2o\$305bo22bo3bo4b2ob2o\$250bo2bo68b4o3b4o4b4o\$254bo56bo9bo3bo12b
2o\$250bo3bo45bo11b2o11bo\$251b4o13b4o29bo7b3o5b2o2bo2bo\$267bo3bo28bo7b
3o6b3o\$271bo37b3o5b2o2bo2bo\$267bo2bo41b2o11bo\$294bobo14bo9bo3bo\$244bo
13b2o6bo28b2o25b4o\$242bobo13b2o5bo2bo26bo\$243b2o8bo4b2o9bo\$252b3o4bob
2o6bo45bo2bo\$251b2o6b5o4b2o49bo\$227bo11bo15b2o3b3o4bo47bo3bo\$225bo3bo
7bobo24b2o50b4o13b4o\$230bo7b2o92bo3bo\$225bo4bo105bo\$226b5o30b2o5b4o27b
6o27bo2bo\$234bo18b2o4b2ob2o3bo3bo26bo5bo5bo\$232bobo17b4o3b4o8bo32bo3bo
bo19b2o\$227b2o4b2o5bo11b2ob2o3b2o5bo2bo27bo4bo5b2o18b5o\$84bobo139bo11b
2obo3bo2bo5b2o44b2o20bob3o2bo4bo\$82bo3bo140b2o7b5o4bo3bo29bobo38b2o3bo
3b3o2bo\$41b2o39bo19bo133bo2bo4bo4b2o29b2o23bo14bobo7bo2b2o\$41bobo31b2o
4bo4bo14b4o131b5o4bo3bo30bo22bobo14bob2o7b2o\$28bobo13bo30b2o5bo12bo4b
2obobo132b2obo3bo2bo5b2o48b2o15b2o\$27bo2bo2b2o6bo2bo7b2o28bo3bo3bob2o
5b3obo2bo2b2o129bo11b2ob2o65bo\$26b2o5bobo8bo7b2o30bobo2bob4o5b2obobo3b
2o141b4o\$18b2o4b2o3bo3bo3bo3bobo45b2o2b2o6b4o148b2o44bo15bo2bo7b2o5b4o
\$18b2o6b2o5b3ob2o2b2o30b2o27bo195bobo18bo4b2ob2o3bo3bo\$27bo2bo3b2o37b
2o223bobo14bo3bo4b4o8bo\$28bobo23b2o30bo212b2o4b2o9b4o5b2o5bo2bo\$54b2o
30bo213bo3b2o5b3o\$42b2o28b2o145bo80b3o6b2ob2o\$42b2o28b2obo12bo128bobo
84b2o5b3o\$54b3o18bo36b2o104b2o85b2o9b4o\$38b2o15b2o18bo36bo202bo3bo\$15b
2o20bobo12b2o18bo2bo25b2o7bobo151bobo19bo32bo\$16bo22bo12b3o18b2o19bob
2o3b3o6b2o153b2o19bobo26bo2bo\$16bobo9bo24bobo34bo2bo3bo5b2obo158bo20b
2o\$17b2o8b4o23b2o33b2o2bo4bo4bo2bo\$26b2obobo6bobo47b2o5b4o4b2obo14bo\$
25b3obo2bo3bo3bo46b3o7bo3b3o17b3o\$26b2obobo4bo51b2o11b2o21bo\$27b4o4bo
4bo39b2o7b2o32b2o50bo59bo\$28bo7bo42bobo8bo82bo3bo55bo3bo\$36bo3bo6b2o
30bo92bo59bo\$38bobo6bobo28b2o92bo4bo54bo4bo\$49bo122b5o27bo27b5o\$49b2o
151bobo\$203b2o\$267b2o31bo2bo\$70b5o55b5o131b3o35bo\$69bo4bo54bo4bo132bo
32bo3bo\$74bo59bo133bo21b2o9b4o\$69bo3bo55bo3bo155b2o5b3o\$71bo59bo20b2o
28b2o101b3o6b2ob2o\$152b2o28b2o105b2o5b3o\$231b2o57b2o9b4o5b2o5bo2bo\$
230b4o66bo3bo4b4o8bo\$220bo9b2ob2o50b2o17bo4b2ob2o3bo3bo\$206b2o12bo11b
2o50bobo13bo2bo7b2o5b4o\$205bobo8bo2b2o4bobo58bo\$113b2o92bo8bo7bo2b2o\$
112bobo101bo2b2o4bobo\$112bo107bo11b2o56b2o17b2o\$111b2o98b2o7bo9b2ob2o
3b2o5bo2bo40bobo16b2o7b3o\$210bobo17b4o3b4o8bo41bo17bo2bo6bo\$212bo18b2o
4b2ob2o3bo3bo35b2o23bo6bobo\$204b5o30b2o5b4o33bo4bo23b2o3b2o\$34b2o167bo
4bo80bo5b2o\$34bo173bo7b2o65bo5bo6bo\$27bo4bobo168bo3bo7bobo24b2o40b6o6b
o20bo2bo\$26bobo3b2o171bo11bo15b2o3b3o4bo51b2o22bo\$9b2o15b2obo199b2o6b
5o4b2o69bo3bo\$9bobo14b2ob2o199b3o4bob2o6bo53b4o13b4o\$12bo13b2obo191b2o
8bo4b2o9bo52bo3bo\$9bo2bo13bobo191bobo13b2o5bo2bo57bo\$12bo8bo5bo194bo
13b2o6bo55bo2bo\$2b2o5bobo7bobo10b3o4b2o\$bobo5b2o9b2o12bo3bobo204bo2bo\$
bo31bo3b3o209bo\$2o35b2o206bo3bo560bo2bo\$40b2o187b4o13b4o255b2o307bo\$
39b3o186bo3bo270b2ob2o13b2o287bo3bo\$27b2o203bo99bo2bo167b4o13b4o287b4o
13b4o\$27b2o199bo2bo104bo167b2o14b2ob2o302bo3bo\$39b2o291bo3bo150b4o31b
2o307bo\$14bo24b2o292b4o13b4o132b6o302b6o27bo2bo\$14bobo332bo3bo84b4o44b
4ob2o300bo5bo\$3b2o12b2o9b2o323bo83bo3bo12bo2bo32b2o3bo14b2o287bo4bo13b
2o6bo\$3b2o12b2o9b2o319bo2bo31bo2bo53bo16bo37b2o11bo2bo280bo4bo3bobo13b
2o5bo2bo\$17b2o6b2o6bo3b2o291b3o55bo48bo2bo13bo3bo36b2o7b3o13b2o200b2o
71b2o6b2o8bo4b2o9bo\$14bobo7b3o5bo3bobo290bo3bobobo10bo35bo3bo66b4o44bo
2bo8bo5b2o197b2ob2o13b2o72b3o4bob2o6bo\$14bo10b2o6b5o291bo7bo10b3o34b4o
13b4o28b3o66b2ob2o3bo3bo4b2o198b4o13b4o70b2o6b5o4b2o\$28b2o4b3o287bo5b
2o15bo3bo49bo3bo84bo20bo4bo3bo136b2o62b2o14b2ob2o57bo15b2o3b3o4bo\$28b
2o292bobo19b3o4bo29b2o22bo27bo2bo14b2o38b2o20bo141b2ob2o13b2o64b2o56bo
bo24b2o\$323b2o10bo8b3obob2o28bo20bo2bo28bobo18bo35b2o163b4o13b4o42bo
79b2o\$309bo34b2o3bo30bo47bo20b2o4b2o64b2o133b2o14b2ob2o40b3o\$307bo3bo
34bobo30b2o48bo18b2o6bo27b2o26b4o4b4o115b4o31b2o40bob2o3bo11bo56b2o16b
o2bo7b2o5b4o\$312bo6bo76b2o3b2o24b3o17b2o7bo26bo2bob2o15b2o4bo3bo4b2ob
2o113b6o72bo6bo10b4o54b2o20bo4b2ob2o3bo3bo\$307bo4bo4bobo74bo6bobo44bo
3bo2bo28bo4b2o12b2ob2o7bo6b2o66b4o44b4ob2o65bo6bo14b5obo53bo2b4o11bo3b
o4b4o8bo\$308b5o5b2o23b2o5b4o21bo17bo2bo6bo49bo30b2o4bo8bo3b4o4bo2bo74b
o3bo12bo2bo32b2o3bo14b2o47b2o18bo6b2o53b4o2bo11b4o5b2o5bo2bo\$335b2o4b
2ob2o3bo3bo19bobo16b2o7b3o9b5o5bo60bo9b2o2bobo3b2o32b4o51bo16bo37b2o
11bo2bo45b2o18bo3bob3o53bo2bo6b2o2b3o\$334b4o3b4o8bo7bo12b2o17b2o17bo4b
o6bo22b2o5bo2bo26b2ob2o4bo2b2o3bo35bo3bo12bo2bo31bo2bo13bo3bo36b2o7b3o
13b2o57bo3b3o54b2o2bo5b2o2b3o\$314bo19b2ob2o3b2o5bo2bo6bo3bo53bo4b3o21b
4o8bo25b2o8b2o2bobo3b2o35bo16bo48b4o44bo2bo8bo5b2o57bo60bobo6b2o2b3o\$
312bo12b3ob2o5b2o26bo47bo3bo29b2ob2o3bo3bo31bo8bo3b4o30bo2bo13bo3bo27b
3o66b2ob2o3bo3bo4b2o24b2o5bo88b3o2bo11b4o\$313bobo8b2o5bo27bo4bo5bo43bo
26b2o5b2o5b4o27bo2b2o12b2ob2o47b4o83bo20bo4bo3bo22b3ob2o5b2o30b2o55b4o
11bo3bo\$314bo8bo7b2o27b5o3bobo24b2o5b4o12bo20b2ob2o44b2o15b2o25bo52bo
2bo14b2o38b2o20bo29b5o5b2o22b4o4b4o73bo\$324b2o5bo37b2o16b2o4b2ob2o3bo
3bo13bo7b3o5bo3b4o28bo61bo51bobo18bo35b2o52b3o22bo2bo3bo3bo4b2ob2o36bo
31bo2bo\$309bo15b3ob2o5b2o48b4o3b4o8bo11b3o4bo2b3o3b2obo3b2o27b2o60b3o
46bo20b2o4b2o64b2o50bo6bo6b2o37bobo\$307bobo24b2ob2o35bo11b2ob2o3b2o5bo
2bo19bobo6bo3bo32b2o76bo4b2o26bo18b2o6bo27b2o26b4o4b4o24bo20bo3bo2bo2b
o46b2o\$308b2o24b4o27bo6b2obo3bo2bo5b2o34bo2b3o3b2obo3b2o103b4o3b2ob2o
22b3o17b2o7bo26bo2bob2o15b2o4bo3bo4b2ob2o24b2o8b2o9b4o\$335b2o26bobo4b
5o4bo3bo43b3o5bo3b4o84bo16b5o4bo2bo43bo3bo2bo28bo4b2o12b2ob2o7bo6b2o
24b2o8b2o5b3o\$364b2o4bo2bo4bo4b2o54b2ob2o84bo14bo9bo2bo48bo30b2o4bo8bo
3b4o4bo2bo39b3o6b2ob2o\$370b5o4bo3bo57b2o83b3o15b2o8b2o9b5o5bo60bo9b2o
2bobo3b2o52b2o5b3o\$372b2obo3bo2bo5b2o155bo18bo4bo6bo22b2o5bo2bo26b2ob
2o4bo2b2o3bo57b2o9b4o\$374bo11b2ob2o178bo4b3o21b4o8bo25b2o8b2o2bobo3b2o
63bo3bo\$386b4o132bo24b2o5bo2bo6bo3bo29b2ob2o3bo3bo31bo8bo3b4o66bo\$387b
2o134bo22b4o8bo7bo26b2o5b2o5b4o27bo2b2o12b2ob2o61bo2bo\$521b3o22b2ob2o
3bo3bo11bo20b2ob2o44b2o15b2o\$541b2o5b2o5b4o12bo7b3o5bo3b4o28bo\$526bo
12b2ob2o25b3o4bo2b3o3b2obo3b2o27b2o\$297b2o28b2o28b2o28b2o14bo13b2o28b
2o28b2o28b2o8bo8bo8bo3b4o33bobo6bo3bo32b2o\$297b2o28b2o28b2o28b2o15bo
12b2o7bo20b2o28b2o28b2o9bo11b2o2bobo3b2o34bo2b3o3b2obo3b2o139bo\$294bo
107b3o19b2o90b3o2b2o6bo2b2o3bo41b3o5bo3b4o138bobo\$292bobo130b2o103b2o
2bobo3b2o49b2ob2o89bo47b2o\$293b2o55bo175bo8bo3b4o50b2o91b2o\$348bobo
175bo12b2ob2o141b2o\$349b2o190b2o\$516bo2bo\$520bo\$516bo3bo\$356b2o28b2o
129b4o\$297b2o28b2o26bo2bo26bo2bo\$296bobo27bobo26bo2bo26bo2bo166bo\$296b
2o28b2o28b2o28b2o168bo21bo\$554b3o19b2o\$577b2o\$688bo\$688bobo\$670bo17b2o
\$671b2o\$670b2o2\$298b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o\$298bobo
27bobo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo\$299b2o28b2o26b
o2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo\$358b2o28b2o28b2o28b2o
28b2o28b2o28b2o149b4o\$289b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o
28b2o28b2o28b2o28b2o37bo3bo\$288bobo27bobo27bobo27bobo27bobo27bobo27bob
o27bobo27bobo27bobo27bobo27bobo27bobo41bo\$288bo29bo29bo29bo29bo29bo29b
o29bo29bo29bo29bo29bo29bo39bo2bo\$287b2o28b2o28b2o28b2o28b2o28b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o64b2o\$351b3o348bo8b2ob2o\$353bo346bobo4bo
3b4o\$294bo57bo346bo2bo5bo3b2o\$294b2o403bo6bo2bo\$293bobo3b2o28b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o29bo8bo2bo5bo3b2o\$
299b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b
2o9bobo4bo3b4o\$702bo8b2ob2o\$713b2o5b2o5b4o\$693b3o22b2ob2o3bo3bo\$695bo
22b4o8bo\$694bo24b2o5bo2bo\$391b2o\$376bo12b2ob2o323bo\$376bo8bo3b4o305b3o
15b2o8b2o\$380b2o2bobo3b2o308bo14bo9bo2bo\$366b3o2b2o6bo2b2o3bo311bo16b
5o4bo2bo\$368bo11b2o2bobo3b2o325b4o3b2ob2o\$309bo57bo8bo8bo3b4o327bo4b2o
\$309b2o25b4o36bo12b2ob2o309b3o\$308bobo14bo9bo3bo24bo26b2o5b2o5b4o296bo
\$326b2o11bo22bo3bo4b3o22b2ob2o3bo3bo295bo\$323b3o5b2o2bo2bo28bo5bo22b4o
8bo318b4o\$314bo7b3o6b3o28bo4bo4bo24b2o5bo2bo301bo2bo13bo3bo\$315bo7b3o
5b2o2bo2bo24b5o345bo16bo\$314bo11b2o11bo55bo313bo3bo12bo2bo\$325bo9bo3bo
12b2o22b3o15b2o8b2o304b4o\$336b4o3b4o4b4o23bo14bo9bo2bo\$319bo22bo3bo4b
2ob2o21bo16b5o4bo2bo\$312b2o5b2o25bo6b2o40b4o3b2ob2o\$309b3ob2o3bobo21bo
2bo52bo4b2o\$309b5o67b3o\$310b3o70bo\$324bo18b2o37bo\$324b2o17bo7b2o52b4o\$
323bobo17bo2bo5b2o33bo2bo13bo3bo\$344b3o4b2o38bo16bo\$330bo15b2o3bo35bo
3bo12bo2bo\$330bo57b4o\$330bobo\$331bo20b2o\$331b2o18b4o\$351b2ob2o\$336b2o
15b2o\$334b2ob2o\$334b4o\$335b2o!
``````
(I'm sure it can be drastically improved.)

The pattern consists of five parts: an MWSS gun, an MWSS backrake, and three puffers, one of which just lays blocks. Here's how it works: an MWSS gets fired from the gun. It destroys itself using the block, and turns one of the MWSSs from the backrake into a glider. However, if there is an MWSS at a certain point closer to the gun, it kills the outgoing MWSS. In this way, a loop of increasing period is formed. At the same time, another puffer is forming constellations of blocks and beehives that will turn gliders into LWSSs. Also, a third puffer below the first two creates glider guns, along with eaters to get rid of the output. Now, back to the glider. It hits the constellation, turns into an LWSS, travels south, hits the eater, and destroys that and itself. This allows the output of that glider gun to escape. (The time between consecutive eater removals increases linearly.)
I Like My Heisenburps! (and others)

Extrementhusiast
Posts: 1832
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Bonus! sqrtgun (re)construction

As a bonus, here is a(nother) sqrtgun, based off of the log(t)^2 growth:

Code: Select all

``````x = 205, y = 193, rule = B3/S23
9b2o\$9b2o3\$10bo\$9b3o\$8bo3bo\$10bo\$7bo5bo\$7bo5bo8b2o\$8bo3bo9b2o\$9b3o17b
2o\$22bo7bo\$21bobo6bobo10bo\$21bobo7b2o9bobo\$22bo18bo3b2o11bo\$12bo28bo3b
2o3b2o4b3o\$41bo3b2o3b2o3bo\$19b2obob2o16bobo10b2o\$12bo6bo5bo17bo\$10bobo
7bo3bo28bo\$11b2o8b3o28bobo\$51bo3bo\$52b3o\$50b2o3b2o\$5b2o3b2o10b2o\$19bob
3o19bo\$6bo3bo6b2ob2o19bobo\$7b3o7b2ob2o20b2o\$7b3o8bobo\$18b3o2\$5b2o50bo
2bo4bo2bo\$6bo48b3o2b6o2b3o4bo\$3b3o10b2o3b2o34bo2bo4bo2bo4b3o\$3bo12bobo
bobo49bo\$17b5o50b2o\$18b3o\$19bo13b2o\$33bobo\$33bo\$4bo\$2b2o\$3b2o\$69b3o\$
19b2o47bo3bo\$19b2o46bo5bo\$2o66bo3bo\$obo66b3o\$o68b3o\$74bo2bob2obo2bo\$
73b2o2bo4bo2b2o\$74bo2bob2obo2bo2\$18b2o10bo\$14b2o2b2o2b2o4b3o39bo\$2bo
11bobo2bo2b2o3bo43bo112b2o\$2b3o10b3o9b2o40b3o112b2o\$5bo10b2o111bo\$4b2o
122bobo39b2o\$111b2o14bo3b2o35bo2bo7bo\$111bobo13bo3b2o3b2o17bobo9bo7b2o
3bo\$15b2o7b3o75b3ob2o4b3o12bo3b2o3b2o17bo3bo7bo6bo5bo\$15bobo5bo3bo74b
4o2bo4b3o12bobo28bo7bo7b5o\$15bo90b2o4b3o7bo6bo15b2o8bo4bo7bo2bo\$22bo5b
o82bobo9b2o20b2o12bo10b2o12b3o\$22b2o3b2o82b2o9b2o14b2o15bo3bo23bo3bo\$
14b2o121bo2bo14bobo8bobo13bo5bo\$13bobo47b2o75bo26b2o13b2obob2o\$4b2o3b
2o4bo6b2o39bobo74bo26bo\$6b3o12bobo39bo73b2obo\$5bo3bo11bo115b2o46bo12b
2o\$6bobo12b2o161bobo11b2o\$7bo17bo158bobo\$22bo2bo83bo7bo20b2o34bo10b2o\$
8b3o14bo81bobo5b4o19b2o25b2o8b2o10bo11bo\$8b3o88b2o4b2o8b2o2bo2b2o41bo
8b2o10b3o9bobo\$99b2o4b2o11b2o2b2o29b2o8bobo19bo3bo7bo3bo\$20b2obob2o78b
2o7bo10b2o26b2o8b2o19bob3obo6b5o\$107bobo4bo10b3o16b2o3bo6b2o22bo4b5o6b
2o3b2o\$6b2o3b2o7bo5bo82bo4bo10b2o17bobo3bo5b3o19b2o17b5o\$7b5o110b2o7b
2o12b5o6b2o21b2o17b3o\$8b3o10b2ob2o96b2o7bobo12b3o4b2o44bo\$9bo13bo109bo
19b2o\$133b2o24bo\$100bo56b2o\$101bo56b2o40bo\$99b3o75bobo17b2o\$23b2o155bo
8b2o6b3o\$23b2o151bo4bo2b2o3bo8b2o\$141b2o33b2obo2bob2o4b3o5bo\$9b2o130bo
38b2o10bo4bobo\$9b2o121bo6bobo55b2o\$131b2o6b2o\$130b2o4b2o14bo12bo\$120b
2o7b3o4b2o15b2o8b2o33b2obob2o\$120b2o8b2o4b2o14b2o10b2o\$131b2o58bo6bo5b
o\$93b2o37bo7b2o47b2o\$93bobo28bo14b2o49b2o7b2ob2o\$93bo30b3o14bo32bo26bo
\$127bo44b3o13bo\$126b2o43bo14b2ob2o\$158b2o11b2o4b2o4bobobob2o\$158b2o17b
2o8b3o\$184bo3bo\$76b2o106bo2bo\$77bo98bob2o6bo\$64b2o11bobo8b2o78b3o5bobo
10b2o\$64b2o12b2o6bo2bo7bo79bo11bobo5b3o\$85bo7b2o3bo69bobo6b2o10bo6bo3b
o\$85bo6bo5bo68b5o5b2o16bo5bo\$85bo7b5o68b2o3b2o4b2o16bo5bo\$86bo2bo76b2o
3b2o\$88b2o39bo65bo\$64b3o60b2o66b2o\$63b2ob2o60b2o39bo25b2o\$63b2ob2o6b2o
91b2o25b2o2bo\$63b5o7b2o118bobo\$62b2o3b2o5bo91bo29b2o2\$131bobo33bo2bo\$
131b2o8bo5b2o20b2o22b2o3b2o\$132bo5b4o4b2o28b2o10bo4b2o3b2o\$137b4o7bo
23b2obo2bob2o4b3o\$137bo2bo31bo4bo2b2o3bo9b3o\$137b4o19bo15bo8b2o8b3o\$
62b2o68b2o4b4o7b2o9b3o10bobo20bo\$63bo59b2o6bobo7bo7bobo11bo6b2o\$60b3o
60bobo5bo19bo10b2o5b2o\$60bo62bo6b2o19b2o18bo2\$165bo14b2obob2o\$163b2ob
2o7b2o3bo5bo8b2o\$175b2o4bo3bo9b2o\$162bo5bo13b3o2\$106bo55b2obob2o9bo\$
107bo42b2o\$105b3o42b2o\$168b2o\$167bobo\$150b3o15bo\$150b3o14b2o12bo\$167b
3o11bo\$168b2o10bobo\$166bo12b2ob2o\$148b2o3b2o23bo5bo\$89b2o58b5o27bo\$89b
obo58b3o25b2o3b2o\$89bo61bo15bo\$166b3o\$143b2o2bo17b5o12bo\$164b2o3b2o11b
o\$165b5o13bo\$165bo3bo\$166bobo\$167bo12b2o\$180b2o\$148b3o\$167b2o\$148bobo
16b2o\$147b5o\$111b2o33b2o3b2o\$112bo33b2o3b2o\$112bobo6bo7bo\$113b2o4bobo
5b4o\$117b2o8b2o2bo2b2o\$102b2o13b2o11b2o2b2o\$102b2o13b2o7bo10b2o\$102b2o
15bobo4bo10b3o5b2o4b2o\$103bo17bo4bo10b2o6b2o4bo\$76b2o24bobo6b2ob2o18b
2o16b3o\$76b2o23b2obo5bobo3bo17b2o18bo\$112bob3o\$112b2o\$102b2o7b2o\$102b
2o\$119b2o\$105b2o12bobo\$106b2o11bo\$105bo24bo\$128b4o\$118bobo6bobob2o9b2o
\$91bo26bo3bo3bo2bob3o8b2o\$88b4o3bob2o23bo4bobob2o\$87b4o4bobob2o2b2o13b
o4bo4b4o\$87bo2bo3b2obob2o2bobo16bo7bo\$87b4o3b2o8b3o11bo3bo\$82b2o4b4o3b
2o8b3o10bobo\$81bobo7bo12b3o\$81bo21bobo\$80b2o21b2o!
``````
Apparently, one has already been built, but I haven't found it.
I Like My Heisenburps! (and others)

Extrementhusiast
Posts: 1832
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: t^1.5 Growth

This is a different way of producing O(t^1.5) growth:

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!
``````
A smaller sqrtgun feeds into a NOT gate, of which the output, if it's not zero, destroys a rake coming from a rake factory. So rakes get "let out" at ever increasing intervals. (The sqrtgun uses codeholic's first 15x15 salvo.)

I may rework the other one soon.
I Like My Heisenburps! (and others)

simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

### Re: t^1.5 Growth

There must be a better way to push block diagonally and return the glider other than with 5 gliders. 3-4 should be enough.

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

### Re: t^1.5 Growth

simsim314 wrote:There must be a better way to push block diagonally and return the glider other than with 5 gliders. 3-4 should be enough.
Google "sqrtgun" to see some of Dean Hickerson's original O(t^0.5) guns. He was able to do it with a salvo of 3 gliders.

simsim314
Posts: 1766
Joined: February 10th, 2014, 1:27 pm

### Re: t^1.5 Growth

mniemiec wrote:Dean Hickerson's original O(t^0.5) guns. He was able to do it with a salvo of 3 gliders.
You probably meant this one.

He uses this recipe:

Code: Select all

```#C [[ THUMBNAIL WIDTH 480 LOOP 200 ZOOM 6 AUTOSTART ]] x = 24, y = 39, rule = B3/S23 2o\$2o9\$14b3o\$14bo\$15bo4\$11b2o\$11bobo\$11bo18\$22b2o\$21b2o\$23bo!```
EDIT This thread by Paul Tooke seems to be relevant to this topic:
viewtopic.php?f=2&t=524&start=0