Tlog(t) growth

	tlog(t) growth
	<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 635, y = 377, rule = B3/S23 40bo13bo$39b3o11b3o$38b2obo5bo4b2obo$38b3o5b3o3b3o$39b2o4bo2b2o3b2o$ 45b2ob2o38b3o11b3o$44b3o2bo37bo2bo10bo2bo$45b2obo41bo4b3o6bo$46bo43bo 4bo2bo5bo$39b3o4bo3bo36bobo4bo3bo2bobo$39bo2bo3bo47b4o$39bo6bo48bo$39b o6b2obo$40bobo6b2o52bo$102b3o$44b2o48b3o4b2obo$46bo48b2o4b3o$48bo46b2o 5b2o$48bo7bo38b2ob2o$45bobo7b3o38bobo$46bo7b2obo39bo$54b3o$55b2o$86b3o $61bo5bo17bo2bo$60b3o3b3o19bo$59b2obo3bob2o18bo$59b3o5b3o15bobo$54bo5b 2o5b2o$52bobo20b3o3b3o6b2o$53b2o9bo10bo2bobo2bo6b3o$63b3o9bo7bo6b2o$ 75bo7bo8bo$63bobo10bobobobo$64bo$79bo$78b3o$28bo13bo34b2ob2o$27b3o11b 3o17b3ob3o10b3o$27bob2o4bo5bob2o18bobo12b3o$28b3o3b3o5b3o33b3o$28b2o3b 2o2bo4b2o34bobo$35b3o25b3o12bobo19b3o11b3o$59bo19bo20bo2bo10bo2bo$57bo bo25bobo12bo6b3o4bo$58b2o25b2o13bo5bo2bo4bo$41b3o42bo14bobo2bo3bo4bobo $40bo2bo61b2o2bobo$43bo63bo$43bo64b2obo$40bobo58bo6b3o$32b2o66b3o5b3o$ 32b2o26b2o38bob2o4b2o$43b3o3b3o8b2ob2o36b3o4bobo$26bo16bo2bobo2bo6bo 42b2o4bo2bo$25b3o7bo7bo7bo9bo20bo27bo$24b2obo5b2ob2o5bo7bo5bo3b2o18b2o 23bo$24b3o6b2ob2o6bobobobo6bo3bo2bo15b2obo9bo5bo5b2o2bo$25b2o6b2ob2o 19bo2bo2bo17bob2o7b3o3b3o4b2o2bo$35b2o10bo12bo2bo18b2obo6bob2ob2obo5b 3o7b3o$46b3o11bo20b5o7b3ob3o6b3o6bo2bo$45b2ob2o10bobo17b5o8b2o3b2o18bo $46b3o9bo2b4o15bo2bo34bo$46b3o11b2o2b2o18bo11bo18bobo$46b3o11bo3bo15bo 2bo11bobo$33b2o11bobo12b3o16b3o11bo3bo$34b2o10bobo13bo32bobo$33bo13bo 47b3o$110b2o$110bobo$38b2o70bo$39b2o53b2ob2o$38bo55b2ob2o$94b2ob2o6b2o $96bo8bobo$43b2o60bo$3b3o11b3o24b2o49b3o$3bo2bo10bo2bo22bo$3bo6b3o4bo 22bo59b2o$3bo5bo2bo4bo21b3o58bobo$4bobo2bo3bo4bobo17b2obo58bo24bo13bo$ 10b4o24b3o83b3o11b3o$12bo25b3o82b2obo5bo4b2obo$39b2o3bo20b2o35b3o18b3o 5b3o3b3o$18bo25bo19bo2bo29b2o2bo2bo19b2o4bo2b2o3b2o$17b3o44bo2bo9b2o 18b2o5bo25b2ob2o$17bob2o11b3o11b3o16b2o9bo2bo20bo3bo24b3o2bo$18b3o11bo 2bo10bo2bo26bo2bo24bo25b2obo$18b2o12bo6b3o4bo30b2o22bobo27bo$32bo5bo2b 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2o109bo5bo10bo4bo63b4o4b4o45bo2bo$227bo21bo41b2ob2o102b3o9bo10b3o2bo 62bo3bo4b2ob2o48bo$228b2o17bo43b4o105bo3bo5bo11bo2b2o66bo6b2o45bo3bo$ 227b2o14bo3bo2b2o40b2o105bo5bo3bo2b2o9b2o58bo5bo2bo38b4o13b4o$116bo29b o29bo62bo2b3obo5bo14bobo136b3o3b2o68b2o46bo3bo$116bobo27bobo27bobo59bo b5o2bobo2b2o14b2o212bobo49bo$116b2o28b2o28b2o44bo14b2ob2o5bo3b2o15bo 13bobo3b4o238bo2bo$223b2o13bo2bo7b3o28bo4bo2bo2b2o132b4o$222b2o56bo3bo 4bo2b2o15b2o96bo2bo13bo3bo95b2o$239b2o21bobo14bo3bo5bo2bo14b2ob2o13b2o 84bo16bo75b2o17b4o$263b2o15b2o8b2o15b4o13b4o79bo3bo12bo2bo70bo4bo2bo4b o11b2ob2o$109bo29bo77bo32b3o10bo16b2o26b2o14b2ob2o66b2o11b4o86bo4bo2bo 3bobo3bo2bo5b2o$108bo29bo79b2o21b5o3b5o72b2o53b2o11b2o104bo3b2o3b3o4bo 3bo$108b3o27b3o76b2o21bo4bo3b3ob2o27bo2bo19bo66b4o4b4o12bo101bo2bo6b3o 4bo4b2o$233bo2bo8bo6b2o3bobo26bo6b2o9b3o64bo3bo4b2ob2o113bo2bo7b3o4bo 3bo$237bo2bo3bo13b2o22bo3bo4b2ob2o7bob2o3bo11bo52bo6b2o113b4obo2b2o3bo bo3bo2bo5b2o14b2o$225bo7bo3bo4bo15bo17b4o3b4o4b4o8bo6bo10b4o46bo2bo 121b2o4bo2b2o4bo11b2ob2o4b4o4b4o$164b2o28b2o16b2o9b3o3bo4b4o26bo10bo3b o12b2o3bo6bo14b5obo91b2o20b2o56b3o4bo2bo15b4o4bo3bo4b2ob2o$164b2o28b2o 16b2o9b2o5b2o31bobo4b2o7bo18b2o18bo6b2o42bo8bo37bo2bo17b2ob2o56b2o6b3o 15b2o9bo6b2o$101bo111bo8bo6b3o29b2o2bo3b4o2bo2bo18b2o18bo3bob3o39bo3bo 7b4o35bo2b2o12bo3b4o58b4ob2ob2o22bo2bo$101bobo119b2o5b2o27b2obo5bo3b2o 44bo3b3o39bo3bo3b8obo29b2o4b2ob3o5b2o2bobo3b2o65bo$101b2o104bo15b3o3bo 4b4o23b2o2bo3b4o2bo4bo38bo45bo6bo8b2o29bob2o4b3o4bo2b2o3bo70b3o$208b2o 15bo7bo3bo25bobo4b2o9bo10bo73b2o9bob3o33bo4b3o5b2o2bobo3b2o66b3o4bo18b 2o$207b2o28bo26bo10bo5bo11b2o30b2o44b2o5b3o31bo4b5o11bo3b4o4bo2bo64b2o 17bo7b2o$233bo2bo10bobo26b6o10b2o22b4o4b4o43bo3bo32b3o3b8o15b2ob2o7bo 6b2o54bobo17bo2bo5b2o$248b2o58bo2bo3bo3bo4b2ob2o80b2o3bo24b2o4bo3bo4b 2ob2o74b3o4b2o$94bo153bo63bo6bo6b2o27bo25b2o27bo3b5o27b4o4b4o49b4o8bo 15b2o3bo$93bo193bo7b2o11bo3bo2bo2bo35bo25b4o27b2o42b2o49b6o7bo$70b2o 21b3o4b2o28b2o28b2o28b2o28b2o66b2o7bo11b4o41b3o6b2o15b2ob2o29bo4bo86b 4ob2o6bobo$70b2o28b2o28b2o28b2o28b2o28b2o65b2o3bo7b2o2b3o55b4o16b2o33b 4o89b2o8bo20b2o$249b2o40bo8b2o2b3o21b2o32b2ob2o52bobo4b2o16b3o7bo65b2o 18b4o$248b4o40bo7b2o2b3o23bo9bo23b2o54bo6b2o15bo9b2o84b2ob2o$248b2ob2o 44bo11b4o20bo5bo81bo4bo17b3o6bob2o68b2o15b2o$250b2o43b2o11bo3bo19bobo 4b3o15b2o88b3o3bobo67b2ob2o$191b2o119bo15bobo3bo21b4o93b2o68b4o$70b3o 27b3o27b3o27b3o27bo2bo114bo2bo17bob3o10bo11b2ob2o63b2o5b2o91b2o$69b2ob 2o25b2ob2o25b2ob2o25b2ob2o26bo2bo148b2obo3bo2bo5b2o60b4ob2o5b2o$69b2ob 2o25b2ob2o25b2ob2o25b2ob2o26bobo147b5o4bo3bo66b6o6bo$69b5o25b5o25b5o 25b5o25b3o117b2o29bo2bo4bo4b2o66b4o8bo22b2o$68b2o3b2o23b2o3b2o23b2o3b 2o23b2o3b2o24b3o28b2o28b2o28b2o26bo2bo28b5o4bo3bo84b2o14b2ob2o$188bo2b o27bobo27bobo27bobo26bo2bo30b2obo3bo2bo5b2o77b4o13b4o$188bobo28b2o28b 2o28b2o28b2o33bo11b2ob2o76b2ob2o13b2o$70b2o28b2o28b2o28b2o26b3o165b4o 79b2o$69b5o25b5o25b5o25b5o193b2o$69bo29bo29bo29bo$71b3o27b3o27b3o27b3o $73bo29bo29bo29bo$71b2o28b2o28b2o28b2o$71b2o28b2o28b2o28b2o$309b2o41b 4o$187b2o28b2o28b2o28b2o62bo9bo3bo$66b2o3b2o23b2o3b2o23b2o3b2o23b2o3b 2o24bobo27bobo27bobo26bo2bo27b4o31b2o11bo$66bobobobo23bobobobo23bobobo bo23bobobobo25b2o28b2o28b2o29bo25b2o32b3o5b2o2bo2bo$67b5o5bobo17b5o5bo bo17b5o5bobo17b5o5bobo18b2o84bo3bo59b3o6b3o$68b3o7b2o18b3o7b2o18b3o7b 2o18b3o7b2o19b2o82bo65b3o5b2o2bo2bo$69bo8bo20bo8bo20bo8bo20bo8bo19bobo 84b2o65b2o11bo$190bo114b2o34bo9bo3bo$243bo2bo57b4o23b2o19b4o$247bo46bo 9b2ob2o16b5o$243bo3bo46bo11b2o16b6o2bo6b2o16bo2bo$85bo29bo29bo98b4o42b o2b2o4bobo22b5o9b2o21bo$86b2o28b2o28b2o142bo7bo2b2o27b2o8bo16bo3bo13bo 2bo$68b2o15b2o11b2o15b2o11b2o15b2o11b2o28b2o28b2o70bo2b2o4bobo56b4o17b o$68b2o28b2o28b2o28b2o28b2o28b2o64b2o8bo11b2o67bo3bo$283bobo8bo9b2ob2o 3b2o5bo2bo30b3o20b4o$285bo18b4o3b4o8bo29b3o$305b2o4b2ob2o3bo3bo28bobo$ 230b2o12b3o28b2o36b2o5b4o$92bobo27bobo27bobo74b4o13bo15bo8b4ob2o11b2o 78bo4b2o$93b2o28b2o28b2o49b2o11bo11b2ob2o11bo14bobo4bo3b6o11bobo75b4o 3b2ob2o$93bo29bo29bo49bobo9b2obo3bo2bo5b2o26bo2bo5bo3b4o14bo12bo61b5o 4bo2bo$205bo7b5o4bo3bo22b2o8bo6bo2bo31bo2bo13b2o44bo9bo2bo$213bo2bo4bo 4b2o23bo7bo2bo5bo3b2o27bo3bo11b2ob2o43b2o8b2o$213b5o4bo3bo22b2o9bobo4b o3b4o19b2o5bo3bo12bo2bo44bo$209b2o4b2obo3bo2bo5b2o29bo8b2ob2o17bobo5bo 3bo12bo2bo$100bo29bo77bobo6bo11b2ob2o12bo26b2o5b2o5b4o4bo6bobo3b2o9b2o 47b2o5bo2bo$101b2o28b2o77bo18b4o4b3o4bo3bo29b2ob2o3bo3bo12bo4b2o57b4o 8bo$100b2o28b2o98b2o4b5o8bo4b3o21b4o8bo76b2ob2o3bo3bo$105b2o96b5o28b3o b2o2bo4bo6bo22b2o5bo2bo29bo2bo46b2o5b4o$105b2o95bo4bo6b2o23b2o4b5o5bo 67bo$207bo5bobo69bo33bo3bo$202bo3bo8bo64bo3bo2bo15b4o13b4o$94bo43b2o 64bo54b3o17b2o7bo13bo3bo$92bo3bo40bo123bo18b2o6bo17bo$97bo39bobo79b2o 17b2o20bo20b2o4b2o13bo2bo$92bo4bo40bo79bobo16b2o7b3o16bobo18bo$93b5o 38bo83bo17bo2bo6bo16bo2bo14b2o$135bo4bo98bo6bobo$141bo99b2o3b2o18b3o$ 135bo5bo82b2o61b4o$136b6o83bo43bo2bo13bo3bo$225bo20bo2bo23bo16bo$226b 2o22bo18bo3bo12bo2bo$246bo3bo19b4o$230b4o13b4o$229bo3bo$233bo$229bo2bo ! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] <nowiki></nowiki> 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	<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 635, y = 377, rule = B3/S23 40bo13bo$39b3o11b3o$38b2obo5bo4b2obo$38b3o5b3o3b3o$39b2o4bo2b2o3b2o$ 45b2ob2o38b3o11b3o$44b3o2bo37bo2bo10bo2bo$45b2obo41bo4b3o6bo$46bo43bo 4bo2bo5bo$39b3o4bo3bo36bobo4bo3bo2bobo$39bo2bo3bo47b4o$39bo6bo48bo$39b o6b2obo$40bobo6b2o52bo$102b3o$44b2o48b3o4b2obo$46bo48b2o4b3o$48bo46b2o 5b2o$48bo7bo38b2ob2o$45bobo7b3o38bobo$46bo7b2obo39bo$54b3o$55b2o$86b3o $61bo5bo17bo2bo$60b3o3b3o19bo$59b2obo3bob2o18bo$59b3o5b3o15bobo$54bo5b 2o5b2o$52bobo20b3o3b3o6b2o$53b2o9bo10bo2bobo2bo6b3o$63b3o9bo7bo6b2o$ 75bo7bo8bo$63bobo10bobobobo$64bo$79bo$78b3o$28bo13bo34b2ob2o$27b3o11b 3o17b3ob3o10b3o$27bob2o4bo5bob2o18bobo12b3o$28b3o3b3o5b3o33b3o$28b2o3b 2o2bo4b2o34bobo$35b3o25b3o12bobo19b3o11b3o$59bo19bo20bo2bo10bo2bo$57bo bo25bobo12bo6b3o4bo$58b2o25b2o13bo5bo2bo4bo$41b3o42bo14bobo2bo3bo4bobo $40bo2bo61b2o2bobo$43bo63bo$43bo64b2obo$40bobo58bo6b3o$32b2o66b3o5b3o$ 32b2o26b2o38bob2o4b2o$43b3o3b3o8b2ob2o36b3o4bobo$26bo16bo2bobo2bo6bo 42b2o4bo2bo$25b3o7bo7bo7bo9bo20bo27bo$24b2obo5b2ob2o5bo7bo5bo3b2o18b2o 23bo$24b3o6b2ob2o6bobobobo6bo3bo2bo15b2obo9bo5bo5b2o2bo$25b2o6b2ob2o 19bo2bo2bo17bob2o7b3o3b3o4b2o2bo$35b2o10bo12bo2bo18b2obo6bob2ob2obo5b 3o7b3o$46b3o11bo20b5o7b3ob3o6b3o6bo2bo$45b2ob2o10bobo17b5o8b2o3b2o18bo $46b3o9bo2b4o15bo2bo34bo$46b3o11b2o2b2o18bo11bo18bobo$46b3o11bo3bo15bo 2bo11bobo$33b2o11bobo12b3o16b3o11bo3bo$34b2o10bobo13bo32bobo$33bo13bo 47b3o$110b2o$110bobo$38b2o70bo$39b2o53b2ob2o$38bo55b2ob2o$94b2ob2o6b2o $96bo8bobo$43b2o60bo$3b3o11b3o24b2o49b3o$3bo2bo10bo2bo22bo$3bo6b3o4bo 22bo59b2o$3bo5bo2bo4bo21b3o58bobo$4bobo2bo3bo4bobo17b2obo58bo24bo13bo$ 10b4o24b3o83b3o11b3o$12bo25b3o82b2obo5bo4b2obo$39b2o3bo20b2o35b3o18b3o 5b3o3b3o$18bo25bo19bo2bo29b2o2bo2bo19b2o4bo2b2o3b2o$17b3o44bo2bo9b2o 18b2o5bo25b2ob2o$17bob2o11b3o11b3o16b2o9bo2bo20bo3bo24b3o2bo$18b3o11bo 2bo10bo2bo26bo2bo24bo25b2obo$18b2o12bo6b3o4bo30b2o22bobo27bo$32bo5bo2b 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3bo10b2o17b2o$17bo6b3o23b2ob2o34bo3bo9b2o20bo$13bo3bo8bo17b3o4bobo34bo bobobo10bo$17bo7bo20bo4b3o36b3o34bo$14bobo28bo44b3o26b2o5b3o$57b3o31bo 7b2o17b2o6bob2o$56bo2bo38b2o20bo6b3o$49b3o7bo40bo26b3o$51bo7bo67b2o$ 45bo4bo5bobo26bo$44b3o37b3o7b2o$43b2obo37bob2o5b2o$43b3o39b3o7bo$43b3o 39b2o$44b2o51b3o$96bo2bo$39b3o57bo$41bo53bo3bo$40bo58bo$96bobo5b2o$ 103b2o$105bo3$54b2o$54b2o9b2o$65bobo20b2o$66b2o9b2o9b2o$76bobo$76b2o$ 132b3o11b3o$54b3o74bo2bo10bo2bo$56bo77bo4b3o6bo$55bo78bo4bo2bo5bo$89b 2o5bo13bo20bobo4bo6bobo$88b2o5b3o11b3o31bo$90bo4bob2o4bo5bob2o24bo4bo$ 96b3o3b3o5b3o24bo$96b2o3b2obo5b2o21bo5bo$132b3o3b3o$131b2obo3b3o$131b 3o4b2o$101bo30b2o5b5o$101b3o5b3o29b3o$102bo5bo2bo$102bo2bo5bo13bo5bo6b o$103b3o5bo12b3o3b3o5bo$108bobo12b2obo3bob2o6bo7b3o$123b3o5b3o6b2o6bo 2bo$124b2o5b2o6b2o7bo$111b3o3b3o19bo8bo$94bo16bo2bobo2bo8bo20bobo$65b 2o26b3o15bo7bo7b3o$65b2o4bo20b2obo15bo7bo$54b2o6b2o6b5ob2o14b3o17bobob obo8bobo$54b2o5b3o5bo2b2o4bo14b2o33bo$62b2o5b2o8bo8b2o25bo$65b2o4bo7bo 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	View static image
Pattern type	Miscellaneous
Number of cells	5685
Bounding box	635×377
Discovered by	Dean Hickerson
Year of discovery	1990
Pattern files
RLE	tlogtgrowth.rle

tlog(t) growth is a pattern that was found by Dean Hickerson on November 13, 1990. It experiences infinite growth that is O(tlog(t)) and is the first such pattern that was constructed.

A bit more specifically, its population in generation t is asymptotic to tlog(t)/48. Even more specifically, for t ≥ 2, the population in generation 60×t is

It uses a mechanism similar to Hickerson's primer; three breeders and two puffers create a sequence of large period guns so that the N^th gun has period 240N. In generation t there are about t/60 finished guns, which have emitted about t/(240*1) + t/(240*2) + t/(240*3) + ... + t/(240*(t/60)) ~ t log(t)/240 gliders.[1]

References

Alan Hensel's lifep.zip pattern collection. Retrieved on August 9, 2009.

This article is issued from Conwaylife. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[1] Alan Hensel's lifep.zip pattern collection. Retrieved on August 9, 2009.