Cellular automaton simulation programs by supported rulespaces: Difference between revisions

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==== {6,3} ====
==== {6,3} ====
{| class="wikitable" style="margin-left:auto;margin-right:auto;"
|-
! Rulespace
! [[Golly]]
! [[LifeViewer]]
! [[lifelib]]
! [[CAViewer]]
! [[Caterer (program)|Caterer]]
! [[Mirek's Cellebration]]
! [[Visions of Chaos]]
! [[Java Square Cell]]
! [[Life32]]
! [[WolframAlpha]]
|-
! von Neumann
| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation">Has a simpler notation for the range-1 case</ref>
| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/>
| style="background-color:#dfdfff;" | range 1<ref group="n" name="mooresubset">via Moore isotropic non-totalistic notation</ref>
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | range 1-10<ref group="n" name="oldltl">Consecutive birth/survival transitions (Larger than Life) only for ranges above 2</ref>
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#d4e5f6;" | ?
|-
! Moore
| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/>
| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/>
| style="background-color:#c6efce;" | range 1-5<ref group="n" name="r1notation"/><br>range 1-7<ref group="n" name="ctgltl">Consecutive birth/survival transitions (Larger than Life) only for ranges above 5</ref>
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | range 1-10<ref group="n" name="r1notation"/><ref group="n" name="oldltl"/>
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#d4e5f6;" | ?
|-
! cross
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | range 1-?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
|}


{| class="wikitable" style="margin-left:auto;margin-right:auto;"
{| class="wikitable" style="margin-left:auto;margin-right:auto;"
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| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
|-
! Hexagonal [[Isotropic non-totalistic Life-like cellular automaton|isotropic non-totalistic]]
! hexagonal [[Larger than Life]]
| style="background-color:#dfdfff;" | Via MAP strings
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | Yes
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#dfdfff;" | Weighted Life
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
|-
! Hexagonal [[Non-isotropic Life-like cellular automaton|non-isotropic non-totalistic]]
! hexagonal [[Higher-range outer-totalistic]]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#ffc7ce;" | No
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#dfdfff;" | Weighted Life
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#dfdfff;" | Weighted Life
|-
! hexagonal [[Larger than Life]]
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
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| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
|-
! tripod [[Larger than Life]]
! asterisk [[Higher-range outer-totalistic]]
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
Line 662: Line 702:
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
|-
! hexagonal [[Higher-range outer-totalistic]]
! tripod [[Larger than Life]]
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | range 1-500
Line 684: Line 724:
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
|-
|-
! asterisk [[Higher-range outer-totalistic]]
! Hexagonal [[Isotropic non-totalistic Life-like cellular automaton|isotropic non-totalistic]]
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#dfdfff;" | Via MAP strings
| style="background-color:#c6efce;" | range 1-500
| style="background-color:#c6efce;" | Yes
| style="background-color:#ffc7ce;" | No
| style="background-color:#c6efce;" | Yes
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#dfdfff;" | Weighted Life
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | Yes
|-
! Hexagonal [[Non-isotropic Life-like cellular automaton|non-isotropic non-totalistic]]
| style="background-color:#c6efce;" | Yes
| style="background-color:#c6efce;" | Yes
| style="background-color:#ffc7ce;" | No
| style="background-color:#ffc7ce;" | No
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#ffc7ce;" | No
| style="background-color:#d4e5f6;" | ?
| style="background-color:#dfdfff;" | Weighted Life
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#d4e5f6;" | ?
| style="background-color:#c6efce;" | Yes
| style="background-color:#dfdfff;" | Weighted Life
|}
|}


Revision as of 19:03, 9 May 2021

This is an incomplete, messy table of multiple cellular automaton simulator programs with the rulespaces they natively support.

Grids

Euclidean regular

{∞}

{4,4}

2-state
Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
von Neumann range 1-500[n 1] range 1-500[n 1] range 1[n 2] range 1-? ? range 1-10[n 3] ? range 1-? range 1-? ?
Moore range 1-500[n 1] range 1-500[n 1] range 1-5[n 1]
range 1-7[n 4] 		range 1-? ? range 1-10[n 1][n 3] ? range 1-? range 1-? ?
cross range 1-500 range 1-500 No range 1-? ? No ? range 1-? ? ?
saltire range 1-500 range 1-500 No range 1-? ? No ? range 1-? ? ?
star range 1-500 range 1-500 No range 1-? ? No ? range 1-? ? ?
hash range 1-500 range 1-500 No range 1-? ? No ? ? ? ?
checkerboard range 1-500 range 1-500 No range 1-? ? No ? ? ? ?
L2 range 1-500 range 1-500 No range 1-? ? No ? ? ? ?
circular range 1-500 range 1-500 No range 1-? ? No ? ? ? ?
Isotropic non-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
range 1
von Neumann 		Yes[n 2] Yes[n 2] Yes[n 2] Yes[n 5] ? Yes[n 5] ? ? ? ?
range 1
Moore 		Yes Yes Yes Yes ? Yes[n 5] ? ? ? ?
range 2
von Neumann 		Multistate emulation only Multistate emulation only Yes Yes ? ? ? ? ? ?
Non-isotropic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Margolus Multistate emulation only Yes ? Yes ? Yes ? ? ? ?
range 1
von Neumann 		Yes Yes No Yes[n 5] ? Yes[n 5] ? ? ? ?
range 1
Moore 		Yes Yes No Yes[n 5] ? Yes[n 5] ? ? ? ?
range 2
von Neumann 		Multistate emulation only Multistate emulation only No Yes[n 5] ? ? ? ? ? ?
Custom OT
neighbourhood 		range 1-500 range 1-500 No range 1-? ? No ? ? ? ?
Naive rules Multistate emulation only Multistate emulation only ? Yes ? ? ? ? ? ?
3-state
Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
BSFKL Ruletables only Ruletables only Yes Ruletables only ? ? ? ? ? ?
Moore Ruletables only Ruletables only Ruletables only Ruletables only ? ? ? ? ? ?
Isotropic non-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
range 1
Moore 		Ruletables only Ruletables only Ruletables only Ruletables only ? ? ? ? ? ?
16-state
Non-isotropic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Partitioned cellular automata Ruletables only Yes No No ? ? ? ? ? ?
n-state
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Cyclic No No No No ? range 1-?
states ?-? 		? ? ? ?
Rock-paper-scissors No No No No ? ? Yes ? ? ?
n-state extensions of 2-state

All of the cases that are supported for 2-state also support extensions (if both the cases and extensions are themselves natively supported) unless mentioned otherwise.

Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Generations states 2-255 states 2-255 states 2-? states 2-?[n 6] ? states 2-?[n 6] ? ? ? ?
Extended Generations Ruletables only Ruletables only states 2-?[n 7] states 2-?[n 6] ? ? ? ? ? ?
Deficient rules Ruletables only Ruletables only states 2-?[n 7] states 2-?[n 6] ? ? ? ? ? ?
Isotropic non-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Generations states 2-255 states 2-255 states 2-? states 2-?[n 6] ? Weighted Generations
states 2-?[n 6] 		? ? ? ?
Extended Generations Ruletables only Ruletables only states 2-? states 2-?[n 6] ? ? ? ? ? ?
Deficient rules Ruletables only Ruletables only states 2-? states 2-?[n 6] ? ? ? ? ? ?
Notated variants
Unsorted
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
[Rule]History Yes Yes ? Yes ? ? ? ? ? ?
[Rule]Super Yes Yes ? No ? ? ? ? ? ?

{6,3}

Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
von Neumann range 1-500[n 1] range 1-500[n 1] range 1[n 2] range 1-? ? range 1-10[n 3] ? range 1-? range 1-? ?
Moore range 1-500[n 1] range 1-500[n 1] range 1-5[n 1]
range 1-7[n 4] 		range 1-? ? range 1-10[n 1][n 3] ? range 1-? range 1-? ?
cross range 1-500 range 1-500 No range 1-? ? No ? range 1-? ? ?
Rulespace Golly LifeViewer lifelib Java Square Cell Life32 Mirek's Cellebration Visions of Chaos WolframAlpha CAViewer
Hexagonal Tripod outer-totalistic Via MAP strings Yes ? ? ? ? ? ? Yes
Hexagonal outer-totalistic Yes Yes Yes Yes Yes Weighted Life ? ? Yes
hexagonal Larger than Life range 1-500 range 1-500 No No ? No ? ? Yes
hexagonal Higher-range outer-totalistic range 1-500 range 1-500 No No ? No ? ? Yes
asterisk Larger than Life range 1-500 range 1-500 No No ? No ? ? Yes
asterisk Higher-range outer-totalistic range 1-500 range 1-500 No No ? No ? ? Yes
tripod Larger than Life range 1-500 range 1-500 No No ? No ? ? Yes
tripod Higher-range outer-totalistic range 1-500 range 1-500 No No ? No ? ? Yes
Hexagonal isotropic non-totalistic Via MAP strings Yes Yes ? ? Weighted Life ? ? Yes
Hexagonal non-isotropic non-totalistic Yes Yes No ? ? Weighted Life ? ? Weighted Life

{3,6}

Rulespace Golly LifeViewer lifelib Java Square Cell Life32 Mirek's Cellebration Visions of Chaos WolframAlpha CAViewer
Triangular von Neumann outer-totalistic Multistate emulation only Yes ? ? ? ? ? ? Yes
Triangular Vertices outer-totalistic Multistate emulation only Yes ? ? ? ? ? ? Yes
Triangular Tri6inner outer-totalistic Multistate emulation only Yes ? ? ? ? ? ? Yes
Triangular Tri6outer outer-totalistic Multistate emulation only Yes ? ? ? ? ? ? Yes
Triangular Moore outer-totalistic Yes Yes ? ? ? ? ? ? Yes
triangular Larger than Life range 1-500 range 1-500 No No ? No ? ? Yes
triangular Higher-range outer-totalistic range 1-500 range 1-500 No No ? No ? ? Yes

{4,3,4}

{4,3,3,4}

2-state
Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Cyclic No No No No No No range 1 No No No
n-state extensions of 2-state

All of the cases that are supported for 2-state also support extensions (if both the cases and extensions are themselves natively supported) unless mentioned otherwise.

Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Cyclic No No No No No No states 2-? No No No

{3,4,3,3}

{3,3,4,3}

{4,3,3,3,4}

2-state
Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Cyclic No No No No No No range 1 No No No
n-state extensions of 2-state

All of the cases that are supported for 2-state also support extensions (if both the cases and extensions are themselves natively supported) unless mentioned otherwise.

Outer-totalistic
Rulespace Golly LifeViewer lifelib CAViewer Caterer Mirek's Cellebration Visions of Chaos Java Square Cell Life32 WolframAlpha
Cyclic No No No No No No states 2-? No No No

Notes

  1. ↑ 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 Has a simpler notation for the range-1 case
  2. ↑ 2.0 2.1 2.2 2.3 2.4 via Moore isotropic non-totalistic notation
  3. ↑ 3.0 3.1 3.2 3.3 Consecutive birth/survival transitions (Larger than Life) only for ranges above 2
  4. ↑ 4.0 4.1 Consecutive birth/survival transitions (Larger than Life) only for ranges above 5
  5. ↑ 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 via Weighted Life
  6. ↑ 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 Extended neighbourhoods unknown
  7. ↑ 7.0 7.1 Only range-1 Moore natively supported, and range-1 von Neumann through its notation
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