Cellular automaton simulation programs by supported rulespaces
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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
Emulation via script or custom rule
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
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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