Cellular automaton simulation programs by supported rulespaces: Difference between revisions

Latest revision as of 22:04, 17 March 2024

This is an set of tables of multiple cellular automaton simulator programs with the rulespaces they natively support.

Grids

Euclidean regular

{∞}

One-dimensional cellular automata, run on the cells of an apeirogon.

2-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
1D	range 1^{[subset 1]}	range 1^{[subset 1]}	No	?	?	range ?-?^{[verify 1]}	?	?	?	range 0-?

Isotropic non-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
1D	range 1^{[subset 1]}	range 1^{[subset 1]}	No	?	?	range ?-?^{[verify 1]}	?	?	?	range 0-?^{[verify 1]}

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
1D	range 1^{[exclude 1]}	range 1^{[exclude 1]}	No	?	?	range ?-?	?	?	?	range 0-?

n-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
1D	range 1^{[subset 2]}	range 1^{[subset 2]}	No	?	?	range ?-?^{[verify 1]}	?	?	?	range 0-?

Isotropic non-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
1D	range 1^{[subset 2]}	range 1^{[subset 2]}	No	?	?	range ?-?^{[verify 1]}	?	?	?	range 0-?^{[verify 1]}

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
1D	range 1^{[subset 2]}	range 1^{[subset 2]}	No	?	?	range ?-?	?	?	?	range 0-?

{4,4}

Two-dimensional cellular automata, run on the cells of a square grid.

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]}^{[equivalent 1]}	range 1-500^{[n 1]}^{[equivalent 1]}	range 1^{[subset 3]}	range 1-?	?	range 1-10^{[exclude 2]}	?^{[verify 2]}	range 1-2^{[subset 4]}	range 1	No
Moore	range 1-500^{[n 1]}^{[equivalent 1]}	range 1-500^{[n 1]}^{[equivalent 1]}	range 1-5^{[n 1]} range 1-7^{[exclude 3]}	range 1-?	?	range 1-10^{[n 1]}^{[exclude 2]}	range 1	range 1-2^{[subset 4]}	range 1	No
cross	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
saltire	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
star	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
hash	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
checkerboard	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
aligned checkerboard	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
L²	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
circular	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	No
Gaussian	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?^{[verify 2]}	range 1-2^{[subset 4]}	No	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^{[subset 3]}	Yes^{[subset 3]}	Yes^{[subset 3]}	Yes^{[subset 5]}	?	Yes^{[subset 5]}	?	?	Yes^{[subset 3]}	No
range 1 Moore	Yes^{[equivalent 1]}	Yes^{[equivalent 1]}	Yes	Yes	?	Yes^{[subset 5]}	?	?	Yes	No
exploded Moore	No	CnEm	C2E1 C1E3	C2E1 C1E3	?	?	?	?	No	No
range 2 von Neumann	No^{[emulate 1]}	No^{[emulate 1]}	Yes	Yes	?	?	?	?	No	No

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Square Cell	Life32	WolframAlpha
Margolus	No^{[emulate 1]}	Yes^{[exclude 4]}^{[equivalent 2]}	No	Yes	?	Yes	?	?	No	No
range 1 von Neumann	Yes^{[equivalent 1]}	Yes^{[equivalent 1]}	No	Yes^{[subset 5]}	?	Yes^{[subset 5]}	?	?	No	No
range 1 Moore	Yes^{[equivalent 1]}	Yes^{[equivalent 1]}	No	Yes^{[subset 5]}	?	Yes^{[subset 5]}	?	?	No	No
range 2 von Neumann	No^{[emulate 1]}	No^{[emulate 1]}	No	Yes^{[subset 5]}	?	?	?	?	No	No
Custom OT neighbourhood	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?	range 1-2	No	No
Custom weighted neighbourhood	range 1-500^{[equivalent 1]}	range 1-500^{[equivalent 1]}	No	range 1-?	?	No	?	range 1-2	No	No
Naive rules	No^{[emulate 1]}	No^{[emulate 1]}	No	Yes	Yes	?	?	?	No	No

3-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Square Cell	Life32	WolframAlpha
BSFKL	Yes^{[subset 2]}	Yes^{[subset 2]}	Yes	Yes^{[subset 2]}	?	?	?	?	?	No
range 1 Moore	Yes^{[subset 2]}	Yes^{[subset 2]}	Yes^{[subset 2]}	Yes^{[subset 2]}	?	?	?	?	?	No

Isotropic non-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Square Cell	Life32	WolframAlpha
range 1 Moore	Yes^{[subset 2]}	Yes^{[subset 2]}	Yes^{[subset 2]}	Yes^{[subset 2]}	?	?	?	?	?	No

16-state

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Square Cell	Life32	WolframAlpha
Partitioned cellular automata	Yes^{[subset 2]}	Yes	No	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 1-10 states ?-?	range ?-? states ?-?	?	?	No
Rock-paper-scissors	No	No	No	No	?	?	range ?-? states ?-?	?	?	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
Generations	states 2-255^{[exclude 5]}	states 2-255^{[exclude 5]}	states 2-?	states 2-?^{[verify 3]}	?	states 2-?^{[verify 3]}	states 2-50	?	?	No
Extended Generations	Yes^{[subset 2]}	Yes^{[subset 2]}	states 2-?^{[exclude 6]}	states 2-?^{[verify 3]}	?	?	?	?	?	No
Deficient	Yes^{[subset 2]}	Yes^{[subset 2]}	states 2-?^{[exclude 6]}	states 2-?^{[verify 3]}	?	?	?	?	?	No
Alternating	Yes^{[subset 2]}	rules 2^{[exclude 7]}	Yes^{[subset 2]}	?	?	?	?	?	?	No

Isotropic non-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Square Cell	Life32	WolframAlpha
Generations	states 2-255^{[exclude 5]}	states 2-255^{[exclude 5]}	states 2-?	states 2-?^{[verify 3]}	?	Weighted Generations states 2-?^{[verify 3]}	?	?	?	No
Extended Generations	Yes^{[subset 2]}	Yes^{[subset 2]}	states 2-?^{[exclude 6]}	states 2-?^{[verify 3]}	?	?	?	?	?	No
Deficient	Yes^{[subset 2]}	Yes^{[subset 2]}	states 2-?^{[exclude 6]}	states 2-?^{[verify 3]}	?	?	?	?	?	No
Alternating	Yes^{[subset 2]}	rules 2	Yes^{[subset 2]}	?	rules 2-?	?	?	?	?	No

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Square Cell	Life32	WolframAlpha
Generations	states 2-255^{[exclude 5]}	states 2-255^{[exclude 5]}^{[exclude 8]}	No	?	?	?	?	?	?	No
Extended Generations	Yes^{[subset 2]}	Yes^{[subset 2]}	No	?	?	?	?	?	?	No
Deficient	Unclear how deficient rules can generalize to non-isotropic rules
Alternating	Yes^{[subset 2]}	rules 2	No	?	?	?	?	?	?	No

{6,3}

Two-dimensional cellular automata, run on the cells of a hexagonal grid.

2-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Hexagonal Cell	Life32	WolframAlpha
tripod	range 1-500	range 1-500^{[n 1]}	No	?	?	?	?	range 1-2^{[subset 4]}	?	No
asterisk	range 1-500	range 1-500	No	?	?	?	?	range 1-2^{[subset 4]}	?	No
hexagonal	range 1-500^{[n 1]}	range 1-500^{[n 1]}	range 1	?	?	?	range 1	range 1-2^{[subset 4]}	?	No

Isotropic non-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Hexagonal Cell	Life32	WolframAlpha
range 1 hexagonal	Via MAP strings	Yes	Yes	Yes	?	Yes^{[subset 5]}	?	?	?	No

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Hexagonal Cell	Life32	WolframAlpha
range 1 hexagonal	Yes	Yes	No	Yes^{[subset 5]}	?	Yes^{[subset 5]}	?	?	?	No
Custom OT neighbourhood	range 1-500	range 1-500	No	range 1-?	?	No	?	range 1-2	?	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 Hexagonal Cell	Life32	WolframAlpha
Generations	states 2-255	states 2-255	states 2-?	states 2-?^{[verify 3]}	?	states 2-?^{[verify 3]}	states 2-50	?	?	No
Extended Generations	Yes^{[subset 2]}	Yes^{[subset 2]}	No	?	?	?	?	?	?	No
Deficient	Yes^{[subset 2]}	Yes^{[subset 2]}	No	?	?	?	?	?	?	No
Alternating	Yes^{[subset 2]}	rules 2	Yes^{[subset 2]}	?	?	?	?	?	?	No

Isotropic non-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Hexagonal Cell	Life32	WolframAlpha
Generations	states 2-255	states 2-255	states 2-?	states 2-?^{[verify 3]}	?	Weighted Generations states 2-?^{[verify 3]}	?	?	?	No
Extended Generations	Yes^{[subset 2]}	Yes^{[subset 2]}	No	?	?	?	?	?	?	No
Deficient	Yes^{[subset 2]}	Yes^{[subset 2]}	No	?	?	?	?	?	?	No
Alternating	Yes^{[subset 2]}	rules 2	Yes^{[subset 2]}	?	?	?	?	?	?	No

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Hexagonal Cell	Life32	WolframAlpha
Generations	states 2-255	states 2-255	No	?	?	?	?	?	?	No
Extended Generations	Yes^{[subset 2]}	Yes^{[subset 2]}	No	?	?	?	?	?	?	No
Deficient	Unclear how deficient rules can generalize to non-isotropic rules
Alternating	Yes^{[subset 2]}	rules 2	No	?	?	?	?	?	?	No

{3,6}

Two-dimensional cellular automata, run on the cells of a triangular grid.

2-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Triangular Cell	Life32	WolframAlpha
edges	range 1^{[subset 6]}	range 1	No	range 1	?	?	range 1	?	?	No
inner	range 1^{[subset 6]}	range 1	No	range 1	?	?	No	?	?	No
outer	range 1^{[subset 6]}	range 1	No	range 1	?	?	No	?	?	No
vertices	range 1^{[subset 6]}	range 1	No	range 1	?	?	No	?	?	No
biohazard	range 1^{[subset 6]}	range 1	No	?	?	?	?	?	?	No
radiation	range 1^{[subset 6]}	range 1	No	?	?	?	?	?	?	No
Moore	range 1-500	range 1-500^{[n 1]}	No	range 1-?	?	?	range 1	?	?	No

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Triangular Cell	Life32	WolframAlpha
Custom OT neighbourhood	range 1-500	range 1-500	No	range 1-?	?	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 Triangular Cell	Life32	WolframAlpha
Generations	states 2-255	states 2-255	No	?	?	?	states 2-50	?	?	No
Extended Generations	No	No	No	?	?	?	?	?	?	No
Deficient	No	No	No	?	?	?	?	?	?	No
Alternating	No	rules 2	No	?	?	?	?	?	?	No

Non-isotropic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Triangular Cell	Life32	WolframAlpha
Generations	states 2-255	states 2-255	No	?	?	?	?	?	?	No
Extended Generations	No	No	No	?	?	?	?	?	?	No
Deficient	Unclear how deficient rules can generalize to non-isotropic rules
Alternating	No	rules 2	No	?	?	?	?	?	?	No

{4,3,4}

Three-dimensional cellular automata, run on the cells of a cubic grid.

2-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
von Neumann	range 1^{[emulate 2]}	No	No	?	?	?	range 1	No	?	No
corners	range 1^{[emulate 2]}	No	No	?	?	?	No	No	?	No
edges	range 1^{[emulate 2]}	No	No	?	?	?	No	No	?	No
hexahedral	range 1^{[emulate 2]}	No	No	?	?	?	No	No	?	No
Moore	range 1^{[emulate 2]}	No	No	?	?	?	range 1	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 Cell	Life32	WolframAlpha
Generations	No	No	No	No	No	No	states 2-10	No	No	No

{4,3,3,4}

Four-dimensional cellular automata, run on the cells of a tesseractic grid.

2-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
Moore	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 Cell	Life32	WolframAlpha
Generations	No	No	No	No	No	No	states 2-10	No	No	No

{3,4,3,3}

Four-dimensional cellular automata, run on the cells of a 24-cell grid.

{3,3,4,3}

Four-dimensional cellular automata, run on the cells of a 16-cell grid.

{4,3,3,3,4}

Five-dimensional cellular automata, run on the cells of a penteractic grid.

2-state

Outer-totalistic

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
Moore	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 Cell	Life32	WolframAlpha
Generations	No	No	No	No	No	No	states 2-10	No	No	No

Notation extensions

Rulespace	Golly	LifeViewer	lifelib	CAViewer	Caterer	Mirek's Cellebration	Visions of Chaos	Java Cell	Life32	WolframAlpha
[Rule]History	Yes	Yes	No	Yes	?	?	?	?	?	No
[Rule]Super	Yes	Yes	No	No	?	?	?	?	?	No
[Rule]Investigator	Yes	Yes	No	No	?	?	?	?	?	No

Rulespaces to investigate

The following rulespaces should be investigated to see if they match up with (or can be considered a subset of) existing rulespaces which are not mentioned, or if they are new rulespaces in their own right and can be added as new table rows.

Mirek's Cellebration
- 1D totalistic
- 1D binary
- General binary
- Neumann binary
- Rules tables
- Special rules
- Weighted Generations
- Weighted Life
- User DLLs
Visions of Chaos
- 1D Cellular Automata
- 1D Cellular Automata 2
- 1D Totalistic Cellular Automata
- Cascade Cellular Automata
- Combinations Cellular Automata
- Extended Neighbourhood Cellular Automata
- Next Nearest Neighbourhood Cellular Auromata
- Traffic Cellular Automata
- Two Steps Back Cellular Automata
- Two Steps Back Extended Cellular Automata
- 2D Totalistic Cellular Automata
- Accretor Cellular Automata
- Alternating Neighbourhoods Cellular Automata
- Alternating Neighbourhoods Cellular Automata 2
- Alternating Neighbourhoods Cyclic Cellular Automata
- Alternating Neighbourhoods Cyclic Cellular Automata 2
- Archean Cellular Automata
- Block Cellular Automata
- Coupled Cellular Automata
- Coupled Cellular Automata 2
- Digital Inkblot
- History Dependent Cellular Automata
- History Dependent Cellular Automata 2
- Hodgepodge Machine
- Indexed Totalistic Cellular Automata
- Indexed Totalistic Cellular Automata 2
- Large Neighbourhood Totalistic Cellular Automata
- Liquid Crystal Cellular Automata
- Majority Rule Cellular Automata
- MergeLife Cellular Automata
- Multiple Neighbourhoods Cellular Automata
- Multiple Neighbourhoods Cellular Automata 2
- Multiple Rules Cellular Automata
- Nonlinear Voter Model
- Pinwheels Cellular Automata
- Rock Paper Scissors Image Cellular Automata
- Sandpile Automata
- Self Replicating Loops
- Smooth Life Cellular Automata
- Stepping Stone Cellular Automata
- Stochastic Cellular Automata
- Tiled Cellular Automata
- Yin Yang Fire Cellular Automata
- Zhang Cellular Automata
- 3D Accretor Cellular Automata
- 3D Cyclic Cellular Automata
- 3D Hexagonal Generations Cellular Automata
- 3D History Dependent Cellular Automata
- 3D Hodgepodge Machine
- 3D Rock Paper Scissors Cellular Automata
- 3D Rule Table Cellular Automata
- 3D Stochastic Cellular Automata
- 3D Voxel Automata Terrain
- 4D Accretor Cellular Automata
- 4D Cyclic Cellular Automata
- 4D Hodgepodge Machine
- 4D Rock Paper Scissors Cellular Automata
CAViewer
- HROT/INT BSFKL
- HROT/INT Regenerating Generations
- HROT/INT Extended Generations
- Integer HROT
- Deficient INT/HROT
- Multi-state Cyclic HROT
- Naive
- Multiple Neighbourhoods
- Turmites
- Euclidean
- Symbiosis
- DeadlyEnemies
- Energetic
Rule Table Repository roadmap
- square4_cyclic
- square4_figure8h
- square4_figure8v
- square9_reading_order
- faceCentredCubic
- Penrose P3 tiling
- E8 lattice
- Leech lattice
cell-auto.com neighbourhoods
- Brick Wall
- Triumphant
- Q*bert
- Star of David
- Triangle-6
- Hexagon-Triangle
- Flipping Triangular
- Stellated Hexagon-Triangle
- Isometric Moore
- Central Isometric Octagonal
- X
- Y
- Distant Sector
- Isometric 3D von Neumann
- 3D X
- Necker
Misc.
- "Second-order cellular automata"
- Compact hyperbolic 2D grids
- Tiled CA
- Triangular PCA

Notes

↑ ^1.00 ^1.01 ^1.02 ^1.03 ^1.04 ^1.05 ^1.06 ^1.07 ^1.08 ^1.09 Has a simpler notation for the range-1 case

Emulation via script or custom rule

↑ ^1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 Can be emulated by a multistate ruletable
↑ ^2.0 ^2.1 ^2.2 ^2.3 ^2.4 requires 3D.lua

Emulation via generated rule

↑ ^1.00 ^1.01 ^1.02 ^1.03 ^1.04 ^1.05 ^1.06 ^1.07 ^1.08 ^1.09 ^1.10 ^1.11 ^1.12 ^1.13 ^1.14 ^1.15 ^1.16 ^1.17 ^1.18 ^1.19 ^1.20 ^1.21 ^1.22 ^1.23 ^1.24 ^1.25 ^1.26 ^1.27 ^1.28 ^1.29 ^1.30 ^1.31 Rules with birth on zero neighbours are emulated accordingly, with black-white reversals for survival on all neighbours or alternating rules for death on all neighbours
↑ Rules where 0000 becomes 1111 and 1111 becomes 0000 are replaced with an alternating rule

Excluded subsets

↑ ^1.0 ^1.1 Odd-numbered rules are not simulated
↑ ^2.0 ^2.1 Consecutive birth/survival transitions (Larger than Life) only for ranges above 2
↑ Consecutive birth/survival transitions (Larger than Life) only for ranges above 5
↑ Rules where 0000 becomes something that is not 0000 are disallowed, except in the case where 0000 becomes 1111 and 1111 becomes 0000 - see next note
↑ ^5.0 ^5.1 ^5.2 ^5.3 ^5.4 ^5.5 B0 is completely disallowed for the conventional range-1 format
↑ ^6.0 ^6.1 ^6.2 ^6.3 Only range-1 Moore natively supported, and range-1 von Neumann through its notation
↑ All rules involved must use the same neighbourhood and be in the same rule family
↑ Excluding Margolus

As subsets

↑ ^1.0 ^1.1 ^1.2 ^1.3 As a subset of elementary Wolfram CA
↑ ^2.00 ^2.01 ^2.02 ^2.03 ^2.04 ^2.05 ^2.06 ^2.07 ^2.08 ^2.09 ^2.10 ^2.11 ^2.12 ^2.13 ^2.14 ^2.15 ^2.16 ^2.17 ^2.18 ^2.19 ^2.20 ^2.21 ^2.22 ^2.23 ^2.24 ^2.25 ^2.26 ^2.27 ^2.28 ^2.29 ^2.30 ^2.31 ^2.32 ^2.33 ^2.34 ^2.35 ^2.36 ^2.37 ^2.38 ^2.39 ^2.40 ^2.41 ^2.42 ^2.43 ^2.44 ^2.45 ^2.46 ^2.47 Requires custom ruletables
↑ ^3.0 ^3.1 ^3.2 ^3.3 ^3.4 via Moore isotropic non-totalistic notation
↑ ^4.00 ^4.01 ^4.02 ^4.03 ^4.04 ^4.05 ^4.06 ^4.07 ^4.08 ^4.09 ^4.10 ^4.11 ^4.12 ^4.13 For Java Cell applications, neighbourhoods are manually specified and not systematically generated
↑ ^5.00 ^5.01 ^5.02 ^5.03 ^5.04 ^5.05 ^5.06 ^5.07 ^5.08 ^5.09 ^5.10 via Weighted Life
↑ ^6.0 ^6.1 ^6.2 ^6.3 ^6.4 ^6.5 Cite error: Invalid <ref> tag; no text was provided for refs named customnotation

Needs verification

↑ ^1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 Possibly as a subset of other supported 1D rulespaces
↑ ^2.00 ^2.01 ^2.02 ^2.03 ^2.04 ^2.05 ^2.06 ^2.07 ^2.08 ^2.09 "Large Neighborhood Totalistic Cellular Automata" may allow for this - testing needed
↑ ^3.00 ^3.01 ^3.02 ^3.03 ^3.04 ^3.05 ^3.06 ^3.07 ^3.08 ^3.09 ^3.10 ^3.11 Extended neighbourhoods unknown

[r1notation-5] 1.00 ^1.01 ^1.02 ^1.03 ^1.04 ^1.05 ^1.06 ^1.07 ^1.08 ^1.09 Has a simpler notation for the range-1 case

[emulate-13] 1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 Can be emulated by a multistate ruletable

[3Dscript-22] 2.0 ^2.1 ^2.2 ^2.3 ^2.4 requires 3D.lua

[B0-6] 1.00 ^1.01 ^1.02 ^1.03 ^1.04 ^1.05 ^1.06 ^1.07 ^1.08 ^1.09 ^1.10 ^1.11 ^1.12 ^1.13 ^1.14 ^1.15 ^1.16 ^1.17 ^1.18 ^1.19 ^1.20 ^1.21 ^1.22 ^1.23 ^1.24 ^1.25 ^1.26 ^1.27 ^1.28 ^1.29 ^1.30 ^1.31 Rules with birth on zero neighbours are emulated accordingly, with black-white reversals for survival on all neighbours or alternating rules for death on all neighbours

[margolus-15] Rules where 0000 becomes 1111 and 1111 becomes 0000 are replaced with an alternating rule

[odd1D-3] 1.0 ^1.1 Odd-numbered rules are not simulated

[oldltl-8] 2.0 ^2.1 Consecutive birth/survival transitions (Larger than Life) only for ranges above 2

[ctgltl-11] Consecutive birth/survival transitions (Larger than Life) only for ranges above 5

[margolus-14] Rules where 0000 becomes something that is not 0000 are disallowed, except in the case where 0000 becomes 1111 and 1111 becomes 0000 - see next note

[noB0gen-16] 5.0 ^5.1 ^5.2 ^5.3 ^5.4 ^5.5 B0 is completely disallowed for the conventional range-1 format

[lowext-18] 6.0 ^6.1 ^6.2 ^6.3 Only range-1 Moore natively supported, and range-1 von Neumann through its notation

[neighbourhood-19] All rules involved must use the same neighbourhood and be in the same rule family

[nomarg-20] Excluding Margolus

[1Dsubset-1] 1.0 ^1.1 ^1.2 ^1.3 As a subset of elementary Wolfram CA

[ruletable-4] 2.00 ^2.01 ^2.02 ^2.03 ^2.04 ^2.05 ^2.06 ^2.07 ^2.08 ^2.09 ^2.10 ^2.11 ^2.12 ^2.13 ^2.14 ^2.15 ^2.16 ^2.17 ^2.18 ^2.19 ^2.20 ^2.21 ^2.22 ^2.23 ^2.24 ^2.25 ^2.26 ^2.27 ^2.28 ^2.29 ^2.30 ^2.31 ^2.32 ^2.33 ^2.34 ^2.35 ^2.36 ^2.37 ^2.38 ^2.39 ^2.40 ^2.41 ^2.42 ^2.43 ^2.44 ^2.45 ^2.46 ^2.47 Requires custom ruletables

[mooresubset-7] 3.0 ^3.1 ^3.2 ^3.3 ^3.4 via Moore isotropic non-totalistic notation

[specify-10] 4.00 ^4.01 ^4.02 ^4.03 ^4.04 ^4.05 ^4.06 ^4.07 ^4.08 ^4.09 ^4.10 ^4.11 ^4.12 ^4.13 For Java Cell applications, neighbourhoods are manually specified and not systematically generated

[weightedsubset-12] 5.00 ^5.01 ^5.02 ^5.03 ^5.04 ^5.05 ^5.06 ^5.07 ^5.08 ^5.09 ^5.10 via Weighted Life

[customnotation-21] 6.0 ^6.1 ^6.2 ^6.3 ^6.4 ^6.5 Cite error: Invalid <ref> tag; no text was provided for refs named customnotation

[poss1Dsubset-2] 1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 Possibly as a subset of other supported 1D rulespaces

[possiblehrot-9] 2.00 ^2.01 ^2.02 ^2.03 ^2.04 ^2.05 ^2.06 ^2.07 ^2.08 ^2.09 "Large Neighborhood Totalistic Cellular Automata" may allow for this - testing needed

[unkext-17] 3.00 ^3.01 ^3.02 ^3.03 ^3.04 ^3.05 ^3.06 ^3.07 ^3.08 ^3.09 ^3.10 ^3.11 Extended neighbourhoods unknown

[subset 1]

[verify 1]

[exclude 1]

[subset 2]

[n 1]

[equivalent 1]

[subset 3]

[exclude 2]

[verify 2]

[subset 4]

[exclude 3]

[subset 5]

[emulate 1]

[exclude 4]

[equivalent 2]

[exclude 5]

[verify 3]

[exclude 6]

[exclude 7]

[exclude 8]

[subset 6]

[emulate 2]

@@ Line 1: / Line 1: @@
-This is a table of multiple cellular automaton simulator programs with the rulespaces they natively support.
+{{stub}}
+This is an set of tables of multiple [[cellular automaton]] simulator programs with the rulespaces they natively support.
-== Two-dimensional ==
+== Grids ==
+=== Euclidean regular ===
+==== {∞} ====
+One-dimensional cellular automata, run on the cells of an apeirogon.
+===== 2-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! 1D
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="1Dsubset">As a subset of elementary Wolfram CA</ref>
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="1Dsubset"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?<ref group="verify" name="poss1Dsubset">Possibly as a subset of other supported 1D rulespaces</ref>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 0-?
+|}
+====== Isotropic non-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! 1D
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="1Dsubset"/>
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="1Dsubset"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?<ref group="verify" name="poss1Dsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 0-?<ref group="verify" name="poss1Dsubset"/>
+|}
+====== Non-isotropic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! 1D
+| style="background-color:#c6efce;" | range 1<ref group="exclude" name="odd1D">Odd-numbered rules are not simulated</ref>
+| style="background-color:#c6efce;" | range 1<ref group="exclude" name="odd1D"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 0-?
+|}
+===== ''n''-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! 1D
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="ruletable">Requires custom ruletables</ref>
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?<ref group="verify" name="poss1Dsubset">Possibly as a subset of other supported 1D rulespaces</ref>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 0-?
+|}
+====== Isotropic non-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! 1D
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?<ref group="verify" name="poss1Dsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 0-?<ref group="verify" name="poss1Dsubset"/>
+|}
+====== Non-isotropic ======
 {| class="wikitable" style="margin-left:auto;margin-right:auto;"
 |-
@@ Line 8: / Line 160: @@
 ! [[LifeViewer]]
 ! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! 1D
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 0-?
+|}
+==== {4,4} ====
+Two-dimensional cellular automata, run on the cells of a square grid.
+===== 2-state =====
+====== Outer-totalistic ======
+{| 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><ref group="equivalent" name="B0">Rules with birth on zero neighbours are emulated accordingly, with black-white reversals for survival on all neighbours or alternating rules for death on all neighbours</ref>
+| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/><ref group="equivalent" name="B0"/>
+| style="background-color:#ffffdd;" | range 1<ref group="subset" 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="exclude" name="oldltl">Consecutive birth/survival transitions (Larger than Life) only for ranges above 2</ref>
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot">"Large Neighborhood Totalistic Cellular Automata" may allow for this - testing needed</ref>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify">For Java Cell applications, neighbourhoods are manually specified and not systematically generated</ref>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+|-
+! Moore
+| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/><ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/><ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-5<ref group="n" name="r1notation"/><br>range 1-7<ref group="exclude" 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="exclude" name="oldltl"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+|-
+! cross
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! saltire
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! star
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! hash
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! checkerboard
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! aligned<br>checkerboard
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! L<sup>2</sup>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! circular
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! Gaussian
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?<ref group="verify" name="possiblehrot"/>
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|}
+====== Isotropic non-totalistic ======
+{| 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]]
 |-
-! [[Totalistic Life-like cellular automaton|Outer-totalistic]]
+! range 1<br>von Neumann
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="mooresubset"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="mooresubset"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="mooresubset"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset">via Weighted Life</ref>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="mooresubset"/>
+| style="background-color:#ffc7ce;" | No
+|-
+! range 1<br>Moore
+| style="background-color:#c6efce;" | Yes<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | Yes<ref group="equivalent" name="B0"/>
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
 | style="background-color:#c6efce;" | Yes
+| style="background-color:#ffc7ce;" | No
+|-
+! exploded<br>Moore
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;” | C<i>n</i>E<i>m</i>
+| style="background-color:#c6efce;" | C2E1<br>C1E3
+| style="background-color:#c6efce;" | C2E1<br>C1E3
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! range 2<br>von Neumann
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate">Can be emulated by a multistate ruletable</ref>
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate"/>
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|}
+====== Non-isotropic ======
+{| 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]]
+|-
+! [[Margolus]]
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate"/>
+| style="background-color:#c6efce;" | Yes<ref group="exclude" name="margolus">Rules where 0000 becomes something that is not 0000 are disallowed, except in the case where 0000 becomes 1111 and 1111 becomes 0000 - see next note</ref><ref group="equivalent" name="margolus">Rules where 0000 becomes 1111 and 1111 becomes 0000 are replaced with an alternating rule</ref>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | Yes
+| style="background-color:#d4e5f6;" | ?
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! range 1<br>von Neumann
+| style="background-color:#c6efce;" | Yes<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | Yes<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
 |-
-! [[Isotropic non-totalistic Life-like cellular automaton|Isotropic non-totalistic]]
+! range 1<br>Moore
+| style="background-color:#c6efce;" | Yes<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | Yes<ref group="equivalent" name="B0"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! range 2<br>von Neumann
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate"/>
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! Custom OT<br>neighbourhood
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| 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 1-2
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! Custom weighted<br>neighbourhood
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| style="background-color:#c6efce;" | range 1-500<ref group="equivalent" name="B0"/>
+| 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 1-2
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Naive]] rules
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate"/>
+| style="background-color:#ffdd80;" | No<ref group="emulate" name="emulate"/>
+| style="background-color:#ffc7ce;" | No
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|}
+===== 3-state =====
+====== Outer-totalistic ======
+{| 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]]
+|-
+! [[BSFKL]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
 | style="background-color:#c6efce;" | Yes
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
 | 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:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! [[Non-isotropic Life-like cellular automaton|Non-isotropic non-totalistic]]
+! range 1<br>Moore
-| style="background-color:#c6efce;" | Yes
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Isotropic non-totalistic ======
+{| 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]]
+|-
+! range 1<br>Moore
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+===== 16-state =====
+====== Non-isotropic ======
+{| 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]]
+|-
+! [[Partitioned cellular automata]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
 | 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:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+===== ''n''-state =====
+{| 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]]
+|-
+! [[Cyclic cellular automata|Cyclic]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 1-10<br>states ?-?
+| style="background-color:#c6efce;" | range ?-?<br>states ?-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Rock-paper-scissors cellular automata|Rock-paper-scissors]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range ?-?<br>states ?-?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | 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 ======
+{| 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]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255<ref group="exclude" name="noB0gen">B0 is completely disallowed for the conventional range-1 format</ref>
+| style="background-color:#c6efce;" | states 2-255<ref group="exclude" name="noB0gen"/>
+| style="background-color:#c6efce;" | states 2-?
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext">Extended neighbourhoods unknown</ref>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#c6efce;" | states 2-50
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Extended Generations]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | states 2-?<ref group="exclude" name="lowext">Only range-1 Moore natively supported, and range-1 von Neumann through its notation</ref>
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Deficient]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | states 2-?<ref group="exclude" name="lowext"/>
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Alternating]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | rules 2<ref group="exclude" name="neighbourhood">All rules involved must use the same neighbourhood and be in the same rule family</ref>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Isotropic non-totalistic ======
+{| 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]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255<ref group="exclude" name="noB0gen"/>
+| style="background-color:#c6efce;" | states 2-255<ref group="exclude" name="noB0gen"/>
+| style="background-color:#c6efce;" | states 2-?
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Weighted Generations<br>states 2-?<ref group="verify" name="unkext"/>
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#dfdfff;" | Weighted Life
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! [[Larger than Life]]
+! [[Extended Generations]]
-| style="background-color:#c6efce;" | range 1-500
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
-| style="background-color:#c6efce;" | range 1-500
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
-| style="background-color:#c6efce;" | range 1-7
+| style="background-color:#c6efce;" | states 2-?<ref group="exclude" name="lowext"/>
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#c6efce;" | range 1-10
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! [[Higher-range outer-totalistic]]
+! [[Deficient]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | states 2-?<ref group="exclude" name="lowext"/>
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
 | style="background-color:#ffc7ce;" | No
-| style="background-color:#c6efce;" | range 1-500
+|-
-| style="background-color:#c6efce;" | range 1-5
+! [[Alternating]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | rules 2-?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Non-isotropic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
 |-
-! [[Multiple neighbourhoods]]
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Square Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255<ref group="exclude" name="noB0gen"/>
+| style="background-color:#c6efce;" | states 2-255<ref group="exclude" name="noB0gen"/><ref group="exclude" name="nomarg">Excluding Margolus</ref>
 | style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
 | style="background-color:#ffc7ce;" | No
+|-
+! [[Extended Generations]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
 | style="background-color:#ffc7ce;" | No
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#c6efce;" | Yes
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Deficient]]
+| colspan="10" style="background-color:#a1b2c3;text-align:center" | Unclear how deficient rules can generalize to non-isotropic rules
+|-
+! [[Alternating]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+==== {6,3} ====
+Two-dimensional cellular automata, run on the cells of a hexagonal grid.
+===== 2-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
 |-
-! [[Margolus]]
+! Rulespace
-| style="background-color:#ffffdd;" | Multistate emulation only
+! [[Golly]]
-| style="background-color:#c6efce;" | Yes
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Hexagonal Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! tripod
+| style="background-color:#c6efce;" | range 1-500
+| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/>
+| style="background-color:#ffc7ce;" | No
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#c6efce;" | Yes
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! [[BSFKL]]
+! asterisk
-| style="background-color:#dfdfff;" | Ruletables only
+| style="background-color:#c6efce;" | range 1-500
+| style="background-color:#c6efce;" | range 1-500
 | style="background-color:#ffc7ce;" | No
-| style="background-color:#c6efce;" | Yes
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! hexagonal
+| 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
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffffdd;" | range 1-2<ref group="subset" name="specify"/>
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Isotropic non-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
 |-
-! Outer-totalistic [[Generations]]
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Hexagonal Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! range 1<br>hexagonal
+| style="background-color:#ffffdd;" | Via MAP strings
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#c6efce;" | Yes
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Non-isotropic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Hexagonal Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
 |-
-! Isotropic non-totalistic [[Generations]]
+! range 1<br>hexagonal
-| style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
 | style="background-color:#c6efce;" | Yes
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="weightedsubset"/>
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#dfdfff;" | Weighted Generations
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! Larger than Life [[Generations]]
+! Custom OT<br>neighbourhood
 | style="background-color:#c6efce;" | range 1-500
 | style="background-color:#c6efce;" | range 1-500
-| style="background-color:#c6efce;" | range 1-7
+| 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 1-2
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | 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 ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Hexagonal Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-?
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#c6efce;" | states 2-50
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Extended Generations]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Deficient]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Alternating]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Isotropic non-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Hexagonal Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-?
+| style="background-color:#c6efce;" | states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffffdd;" | Weighted Generations<br>states 2-?<ref group="verify" name="unkext"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Extended Generations]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
 | style="background-color:#d4e5f6;" | ?
-| style="background-color:#c6efce;" | range 1-10
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! Higher-range outer-totalistic [[Generations]]
+! [[Deficient]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Alternating]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
 | style="background-color:#ffc7ce;" | No
+|}
+====== Non-isotropic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Hexagonal Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Extended Generations]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Deficient]]
+| colspan="10" style="background-color:#a1b2c3;text-align:center" | Unclear how deficient rules can generalize to non-isotropic rules
+|-
+! [[Alternating]]
+| style="background-color:#ffffdd;" | Yes<ref group="subset" name="ruletable"/>
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+==== {3,6} ====
+Two-dimensional cellular automata, run on the cells of a triangular grid.
+===== 2-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Triangular Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! edges
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="customnotation"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! inner
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="customnotation"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! outer
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="customnotation"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! vertices
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="customnotation"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! biohazard
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="customnotation"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! radiation
+| style="background-color:#ffffdd;" | range 1<ref group="subset" name="customnotation"/>
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! Moore
 | style="background-color:#c6efce;" | range 1-500
-| style="background-color:#c6efce;" | range 1-5
+| style="background-color:#c6efce;" | range 1-500<ref group="n" name="r1notation"/>
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1-?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Non-isotropic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Triangular Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! Custom OT<br>neighbourhood
+| 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:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | 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 ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Triangular Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#ffc7ce;" | No
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#c6efce;" | states 2-50
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
 ! [[Extended Generations]]
-| style="background-color:#dfdfff;" | Ruletables only
+| style="background-color:#ffc7ce;" | No
+| 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:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Deficient]]
+| style="background-color:#ffc7ce;" | No
+| 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:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Alternating]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+====== Non-isotropic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Triangular Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#c6efce;" | states 2-255
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Extended Generations]]
+| style="background-color:#ffc7ce;" | No
+| 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:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! [[Deficient]]
+| colspan="10" style="background-color:#a1b2c3;text-align:center" | Unclear how deficient rules can generalize to non-isotropic rules
+|-
+! [[Alternating]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | rules 2
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+==== {4,3,4} ====
+Three-dimensional cellular automata, run on the cells of a cubic grid.
+===== 2-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! von Neumann
+| style="background-color:#ffdd80;" | range 1<ref group="emulate" name="3Dscript">requires 3D.lua</ref>
+| 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:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! corners
+| style="background-color:#ffdd80;" | range 1<ref group="emulate" name="3Dscript"/>
+| 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:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! edges
+| style="background-color:#ffdd80;" | range 1<ref group="emulate" name="3Dscript"/>
+| 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:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! hexahedral
+| style="background-color:#ffdd80;" | range 1<ref group="emulate" name="3Dscript"/>
+| 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:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! Moore
+| style="background-color:#ffdd80;" | range 1<ref group="emulate" name="3Dscript"/>
+| 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:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | 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 ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | states 2-10
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|}
+==== {4,3,3,4} ====
+Four-dimensional cellular automata, run on the cells of a tesseractic grid.
+===== 2-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! Moore
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | 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 ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | states 2-10
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|}
+==== {3,4,3,3} ====
+Four-dimensional cellular automata, run on the cells of a 24-cell grid.
+==== {3,3,4,3} ====
+Four-dimensional cellular automata, run on the cells of a 16-cell grid.
+==== {4,3,3,3,4} ====
+Five-dimensional cellular automata, run on the cells of a penteractic grid.
+===== 2-state =====
+====== Outer-totalistic ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! Moore
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | range 1
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | 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 ======
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! [[Generations]]
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#c6efce;" | states 2-10
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+| style="background-color:#ffc7ce;" | No
+|}
+== Notation extensions ==
+{| class="wikitable" style="margin-left:auto;margin-right:auto;"
+|-
+! Rulespace
+! [[Golly]]
+! [[LifeViewer]]
+! [[lifelib]]
+! [[CAViewer]]
+! [[Caterer (program)|Caterer]]
+! [[Mirek's Cellebration]]
+! [[Visions of Chaos]]
+! [[Java Cell]]
+! [[Life32]]
+! [[WolframAlpha]]
+|-
+! <nowiki>[Rule]History</nowiki>
+| style="background-color:#c6efce;" | Yes
+| style="background-color:#c6efce;" | Yes
 | style="background-color:#ffc7ce;" | No
 | style="background-color:#c6efce;" | Yes
@@ Line 143: / Line 1,681: @@
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
 |-
-! [[Deficient]] rules
+! <nowiki>[Rule]Super</nowiki>
-| style="background-color:#dfdfff;" | Ruletables only
+| 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:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|-
+! <nowiki>[Rule]Investigator</nowiki>
+| 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;" | ?
@@ Line 153: / Line 1,705: @@
 | style="background-color:#d4e5f6;" | ?
 | style="background-color:#d4e5f6;" | ?
+| style="background-color:#ffc7ce;" | No
+|}
+== Rulespaces to investigate ==
+The following rulespaces should be investigated to see if they match up with (or can be considered a subset of) existing rulespaces which are not mentioned, or if they are new rulespaces in their own right and can be added as new table rows.
+* Mirek's Cellebration
+** 1D totalistic
+** 1D binary
+** General binary
+** Neumann binary
+** Rules tables
+** Special rules
+** Weighted Generations
+** Weighted Life
+** User DLLs
+* Visions of Chaos
+** 1D Cellular Automata
+** 1D Cellular Automata 2
+** 1D Totalistic Cellular Automata
+** Cascade Cellular Automata
+** Combinations Cellular Automata
+** Extended Neighbourhood Cellular Automata
+** Next Nearest Neighbourhood Cellular Auromata
+** Traffic Cellular Automata
+** Two Steps Back Cellular Automata
+** Two Steps Back Extended Cellular Automata
+** 2D Totalistic Cellular Automata
+** Accretor Cellular Automata
+** Alternating Neighbourhoods Cellular Automata
+** Alternating Neighbourhoods Cellular Automata 2
+** Alternating Neighbourhoods Cyclic Cellular Automata
+** Alternating Neighbourhoods Cyclic Cellular Automata 2
+** Archean Cellular Automata
+** Block Cellular Automata
+** Coupled Cellular Automata
+** Coupled Cellular Automata 2
+** Digital Inkblot
+** History Dependent Cellular Automata
+** History Dependent Cellular Automata 2
+** Hodgepodge Machine
+** Indexed Totalistic Cellular Automata
+** Indexed Totalistic Cellular Automata 2
+** Large Neighbourhood Totalistic Cellular Automata
+** Liquid Crystal Cellular Automata
+** Majority Rule Cellular Automata
+** MergeLife Cellular Automata
+** Multiple Neighbourhoods Cellular Automata
+** Multiple Neighbourhoods Cellular Automata 2
+** Multiple Rules Cellular Automata
+** Nonlinear Voter Model
+** Pinwheels Cellular Automata
+** Rock Paper Scissors Image Cellular Automata
+** Sandpile Automata
+** Self Replicating Loops
+** Smooth Life Cellular Automata
+** Stepping Stone Cellular Automata
+** Stochastic Cellular Automata
+** Tiled Cellular Automata
+** Yin Yang Fire Cellular Automata
+** Zhang Cellular Automata
+** 3D Accretor Cellular Automata
+** 3D Cyclic Cellular Automata
+** 3D Hexagonal Generations Cellular Automata
+** 3D History Dependent Cellular Automata
+** 3D Hodgepodge Machine
+** 3D Rock Paper Scissors Cellular Automata
+** 3D Rule Table Cellular Automata
+** 3D Stochastic Cellular Automata
+** 3D Voxel Automata Terrain
+** 4D Accretor Cellular Automata
+** 4D Cyclic Cellular Automata
+** 4D Hodgepodge Machine
+** 4D Rock Paper Scissors Cellular Automata
+* CAViewer
+** HROT/INT BSFKL
+** HROT/INT Regenerating Generations
+** HROT/INT Extended Generations
+** Integer HROT
+** Deficient INT/HROT
+** Multi-state Cyclic HROT
+** Naive
+** Multiple Neighbourhoods
+** Turmites
+** Euclidean
+** Symbiosis
+** DeadlyEnemies
+** Energetic
+* Rule Table Repository roadmap
+** square4_cyclic
+** square4_figure8h
+** square4_figure8v
+** square9_reading_order
+** faceCentredCubic
+** Penrose P3 tiling
+** E8 lattice
+** Leech lattice
+* cell-auto.com neighbourhoods
+** Brick Wall
+** Triumphant
+** Q*bert
+** Star of David
+** Triangle-6
+** Hexagon-Triangle
+** Flipping Triangular
+** Stellated Hexagon-Triangle
+** Isometric Moore
+** Central Isometric Octagonal
+** X
+** Y
+** Distant Sector
+** Isometric 3D von Neumann
+** 3D X
+** Necker
+* Misc.
+** "Second-order cellular automata"
+** Compact hyperbolic 2D grids
+** Tiled CA
+** Triangular PCA
+== Notes ==
+<references group="n"/>
+=== Emulation via script or custom rule ===
+<references group="emulate"/>
+=== Emulation via generated rule ===
+<references group="equivalent"/>
+=== Excluded subsets ===
+<references group="exclude"/>
+=== As subsets ===
+<references group="subset"/>
+=== Needs verification ===
+<references group="verify"/>
+[[Category:Everything else]]
+[[Category:Software| ]]
+[[Category:Simulation software| ]]

Cellular automaton simulation programs by supported rulespaces: Difference between revisions

Latest revision as of 22:04, 17 March 2024

Grids

Euclidean regular

{∞}

2-state

Outer-totalistic

Isotropic non-totalistic

Non-isotropic

n-state

Outer-totalistic

Isotropic non-totalistic

Non-isotropic

{4,4}

2-state

Outer-totalistic

Isotropic non-totalistic

Non-isotropic

3-state

Outer-totalistic

Isotropic non-totalistic

16-state

Non-isotropic

n-state

n-state extensions of 2-state

Outer-totalistic

Isotropic non-totalistic

Non-isotropic

{6,3}

2-state

Outer-totalistic

Isotropic non-totalistic

Non-isotropic

n-state extensions of 2-state

Outer-totalistic

Isotropic non-totalistic

Non-isotropic

{3,6}

2-state

Outer-totalistic

Non-isotropic

n-state extensions of 2-state

Outer-totalistic

Non-isotropic

{4,3,4}

2-state

Outer-totalistic

n-state extensions of 2-state

Outer-totalistic

{4,3,3,4}

2-state

Outer-totalistic

n-state extensions of 2-state

Outer-totalistic

{3,4,3,3}

{3,3,4,3}

{4,3,3,3,4}

2-state

Outer-totalistic

n-state extensions of 2-state

Outer-totalistic

Notation extensions

Rulespaces to investigate

Notes

Emulation via script or custom rule

Emulation via generated rule

Excluded subsets

As subsets

Needs verification

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