Higher Range Outer Totalistic (HROT)
2 State
Name | Character | Rulestring | Description |
---|---|---|---|
? | Chaotic | R2,C2,S0-3,11,B0-5,NN | A chaotic B0 rule that has many high period wacky objects such as the 30c/268o and the P1396 oscillator. Multiple 30c/268o can be combined to form puffers. |
? | Chaotic | R2,C2,S0-3,B0,2-4,N+ | This B0 cross rule has a rotating P264 and wide variety of oscillators formed from interactions of the common sparky P2 and P4 oscillators. There is also a c/34o spaceship. |
? | Stable | R2,C2,S2,B3,9,NN | A stable rule that has a variety of natural speeds as well as an (5, 8)c/18 puffer that can be corderised. There is also a common P8 oscillator that looks like a shaker. In addition, there is a common still life that looks like a sideways 8. It is formed from a beehive predecessor. |
DuopletLife | Chaotic | R2,C2,S2-3,B4,7-8,NW0010001210120210121000100 | A weird rule with an overabundance of P2 duoplets. Has some oscillators as well as a 2c/8d, 4c/16d, c/13o spaceships and a 5c/10d duoplet puffer. Can someone corderise the puffer? |
? | Chaotic | R2,C2,S4,6-7,22-24,B6-7,13-14,18-19,22,NM | An active rule that has a common P38 oscillator and a glide-symmetric 4c/16o. It also has a sparky 4c/27d which has yet to be turned into a rake / puffer. The P38 oscillator can also hassle still lives and form non-trivial oscillators such as the P152. |
? | Stable | R2,C2,S5-8,12,16-18,B6,16-18,NH | A hexagonal rule with a common 3c/6o and c/2o. There are also a handful of known oscillator periods. |
? | Stable | R3,C2,S5-8,17-18,21,24,26-27,B7-8,17,19,22-28,N2 | The 1st stable, interesting and fertile 2-state L2 rule. Found by HROT rulesrc. It has a reasonablycommon c/4d and c/2o as well as a rarer 4c/15o. |
? | Chaotic | R3,C2,S6-9,20-24,B6-8,20,NB | An extremely active but not explosive rule. The most common oscilator is a P2 phoenix. There is also a odd-looking P16. There are also a number of photons and 2 c/2d spaceships. |
? | Chaotic | R3,C2,S6-9,B7-10,NB | An active checkerboard rule with 2 common photons and common P4 oscillators. Has P1 & P2 photons as well as a 2c/10o spaceship. |
Generations
Name | Character | Rulestring | Description |
---|---|---|---|
WalledChaos | Stable / Chaotic | R1,C3,S,B0,3-4,NM | A stable / chaotic B0 generation that walls itself up. As the pattern evolves, walls tend to form around the main pattern and prevent its expansion. Oscillators of various periods have been found. |
? | Expanding | R1,C4,S,B0,4,NN | This rule exhibits complex and interesting behaviour. Checkerboard agars tend to be formed and most patterns exist in the checkerboard agars. Spaceships (namely P1 photons) form in the checkerboard agar and expand it when they collide with its edges. Wickstretchers are also common. |
CheckerboardPedestrainLife | Chaotic | R2,C5,S2-3,B3,8,NB | A checkerboard rule with a variety of speeds including 7c/171o, (1, 7)c/14 and a common photon. There is also a diagonal rake and orthogonal puffer. The latter can be corderised to form a P24 photon. In addition, a handful of oscillator periods have been found with the most common being the rotating P24. |
? | Explosive | R2,C6,S2,5-9,B3-4,10,NN | An explosive generations rule that has similar dynamics to star wars. However, unlike Star Wars, in this rule, stable circuitry is hard to construct. Most ships move at lightspeed. There is also a common c/2o ship and a 2c/4d ship. |
? | Stable | R3,C5,S6-10,B4,10,N2 | A stable rule that has a common (28, 16)c/38 and c/1d. There is also a P30 oscillator. |
Extended Generations
Name | Character | Rulestring | Description |
---|---|---|---|
? | Chaotic | R2,B3,8,10-12,S1-2,10,G0-1-1-3,NN | A very active rule with a common glide-symmetric 8c/28o that moves from right to left to right. |
efiL8draobrekcehC | Stable | R2,B3,S2,3,8,G0-1-1,NB | A stable snoitreneg rule with common P4 oscillators and a c/2o. Still lives exist although they are fairly uncommon. The P4 oscillator can eat the c/2o and the c/2o can pass through the P4 destroying it. In fact, any oscillator and spaceship pair that each have consist of only one state and have opposite states are able to destroy the other without being affected. |
? | Stable | R2,B4,16,21,S8,10-19,G0-1-1,NM | This is a reverse generations variant of the rule Pigs. It has a failed replicator as well as a 32c/96o linear replicator. In addition, there are many high period oscillators. |
Deficient Rules
Name | Character | Rulestring | Description |
---|---|---|---|
? | Chaotic | R1,D0,S2-3,B1,4,NN | This rule has a wide variety of oscillators as well as a puffer engine coined "oscillator-laying switch engine". In addition, there is a natural 3c/56d ship. |
? | Stable | R2,D0,S0-3,11,B0-5,NN | A pretty sparse and stable rule with multiple failed c/2o and c/2d simpified spaceship heads. These failed spaceship heads form multiple interesting oscillators and spaceships. |
Integer Rules
Name | Character | Rulestring | Description |
---|---|---|---|
IntegerLife | Chaotic | R1,I8,S2-3,B3,NM | A chaotic rule by Mark Niemiec. All patterns in Life work excluding those involving B6. Other than the glider and the xWSS, this rule also has a natural 2c/6o, c/3o and 3/11o. There is also a natural backrake and a gun has been constructed. This collection excludes Life patterns. |
? | Chaotic | R2,I5,S2-3,B3,N+ | B3 cross rules typically cannot escape their bounding box but this does not apply to integer rules. The rule has 4 natural speeds namely c/2o, c/4d, c/13o and c/22o. |
Isotropic Non-Totalistic (INT)
2 State
Name | Character | Rulestring | Description |
---|---|---|---|
? | Chaotic | B2-ahi8/S14/NC2 | A rule with a common puffer, 9c/26d and 4c/26o. Some other ships found include a 2c/4d, 2c/6o and 6c/12d. |
? | Chaotic | B2ec3aacaeaia4x6x8x/S2x3x/NV2 | An active rule with a common c/13o and c/4d. c/13os can combine to form P51 OMOSs or combine with oscillators to form higher-period oscillators (P96). Other spaceships such as a c/2o and a 2c/4o have also been found. |
Generations
Name | Character | Rulestring | Description |
---|---|---|---|
? | Stable | 1ca2x3ac4adjanawa/2aacaeaiakana/3/V2 | This rule has a common P20 RRO. Multiple P20 RROs can merge toform various larger oscillators and spaceships. |
Custom Rules
Name | Character | Rulestring | Description |
---|---|---|---|
SQC_1 | Chaotic | NIL | This rule uses a variant of the range 2 gaussian weighted neighbourhood. There are a handful of natural speeds such as a (20, 8)c/32 spaceship. P8 oscillators and a P76 gun have also been found. |