This week's featured article
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| Pedestrian Life is a Life-like cellular automaton in which a cell survives from one generation to the next if it has 2 or 3 neighbours, and is born if it has 3 or 8 neighbours.
Many patterns from regular Life are compatible with this rule, since the rules differ only in one transition. However, traffic lights are much less common (giving the rule its name), as most predecessors tend to die because of the added B8 transition.
Two notable patterns that work in Pedestrian Life but not Conway's Game of Life are a statorless rotating four-barrelled glider gun with period 424 and a family of (5,2)c/190 spaceships and puffers.
Like Conway's Game of Life, Pedestrian Life is Turing-complete.
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In the news
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- October 19: hotcrystal0 proves Travelling Ts omniperiodic using a series of new drifter loops discovered with a program by LuveelVoom, proof formalized by PK22.
- September 20: Darren Li proves with the assistance of large language models that there are no non-lightspeed spaceships above 10c/11o in non-B0 isotropic non-totalistic rules.
- September 17: Jiahao Yu finds the first 9c/10 orthogonal spaceship in an isotropic non-totalistic rule, which is the closest to lightspeed (excluding lightspeed itself) that has been found so far.
- September 7: LuveelVoom finds the first 3c/7 orthogonal spaceship in Travelling Ts (B3/S23-a5).
- August 30: May13 constructs a 13c/90 orthogonal macroship in ShipWorld (B3acijy4-a5cjkr6-in78/S2n3-c4-aijz5-jy6-k).
- July 26: MDA corderizes a 13c/246d puffer in PseudoLife (B357/S238), providing the first example of this speed in outer-totalistic rules.
- June 22: Ampere discovers an adjustable RRO in the rule B2aik3acekr4-ajntz5acijy6ck7c/S2an3acejk4ejqtwy5cny6-ac7e based on a concept by Docsy, proving that RROs of all loopabilities exist in INT.
- June 7: Kiho Park discovers the first adjustable-speed spaceship whose speed limit is the speed of light. For any integer n >= 1, the spaceship's speed is (8n)c/(8n+4).
- May 26: I6_I6 proves that the rule LowLife (B3/S13) is turing-complete by constructing a W110 emulator.
- May 25: speedydelete and Evin construct a 204c/210882d demonoid in the rule B2-ak5j/S12-k.
- May 20: May13 discovers a period-3 knightship in B24678/S14678, the first such example in a life-like cellular automaton.
- May 5: NimbleRogue discovers a c/64 orthogonal spaceship in B357/S5678, the first such elementary example in a life-like cellular automaton.
- May 3: Katrina finds a p2 photon in B23568/S1478, the first example of a photon in a self-complementary life-like B23 rule.
- March 26: In life-like cellular automata, Katrina finds a record-breaking (2,1)c/4 knightship, with a minimum population of 151 cells.
- February 20: Keith Amling finds a new speed in the rule Seeds (B2/S): a c/4 orthogonal spaceship.
- February 14: qqd proves that the rule 3-4 Life (B34/S34) is capable of universal computation.
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Did you know...
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| Showing 6 items out of 21
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Pattern collection
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| In addition to the plethora of downloadable Life patterns the LifeWiki contains, some OCA patterns are also available and can be downloaded here:
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