User:R2INT

From LifeWiki
Jump to navigation Jump to search

R2INT's Rule Collection

The following list contains many interesting rules discovered by R2INT, displayed in alphabetical order:

5x5 (B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4cijkrty5-ckqy6ac7e8)
A rule where odd-symmetric explosions decay slower than they spread, leading to explosive behavior. However, an interesting feature of this rule is that two dots placed close together evolve into a 5x5 block. This rule hasn't been proven omniperiodic or Turing-Complete (in particular, there are no known p2 oscillators). There is a (7,1)c/23 non-reburnable fuse that may be used to prove 5x5 Turing-Complete.
AgarGalaxy (B2cen3acijk4-einqr5cein6-an/S2cek3ckny4jnqtw5aik6cen78)
A rule operating on an unnamed p2 agar. Inside the agar, there is a (3,1)c/9 signal, two 2c/4 spaceships, and a giant p56 oscillator, while outside the agar, there is a p6 dot sparker. One spaceship is known outside the agar: a c/3 spaceship.
Asteroids (B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k)[1]
A near-exploding rule with 6 natural spaceships of 5 speeds. A c/4 novelty puffer is known that computes OEIS sequence A133463[2] using adjustable-period blinkers, and numerous rakes have been developed using it.
BigSnowflakes (B2-ae3akq4ekrtyz5-aiy6-ci7e/S02cen3-ekqr4cjkqy5-aeir6aik7c8)
This rule contains a 2-cell predecessor for a large 37-cell still life. This rule also contains 3 medium-period spaceships: a 3c/26o, a 2c/14d, and a c/20d.
BlockAndKnight (B2en3acijq4ajkqr5knr8/S2-cn3-eny4ijkw5y6in78)
A near-exploding rule with a very common (2,1)c/5 spaceship, hence the name. Blocks are by far the most common still life.
Checkerboard, Day & Night (B2en3cin4aciknqt5eny6ikn78/S2ace3-eny4cjnqyz5-cin6-en78)
A checkerboard-complementary rule (a rule whose patterns behave the same when inverted or XOR-pasted with the checkerboard agar) with a small c/2o and a large c/2o frontend with the potential to host linear growth. A periodic splitter and a NAND gate have been constructed.
Checkerboard-V (B2ei3in4aciktwy5eny6a7e8/S1c2-a3-eny4cnrwyz5-in6-ei78)
A checkerboard-complementary rule with a common c/2o spaceship and a small backrake for it.
CheckerboardDiagonal (B2cen3y4-ejqrz5aijk6-ei8/S12ei3-aijk4cnwyz5-y6aik78)
An interesting checkerboard-complementary rule with 3 diagonal speeds (c/4d, c/6d, and c/10d). Additionally, there is a p8 OMOS from B2ce/S1.
CityBlocks (B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78)
This rule is named after the way the large still lives arrange themselves. There is a rare c/3 spaceship in this rule.
Corruption (B2ci3aek4ejwy5cinq/S01c2ac3ejkqr4eijkz5iknqy6ek7c8)
Resembling some near-stable B2a rules, this rule has an indestructible c/2o frontend allowing for many puffers and breeders. The two speeds in this rule are c/2o and 2c/10d.
Dandelion (B2ce3cq4akn5ck/S12ae4en5n)
This rule, aside from supporting a c/4d and many sparky c/2o variants, is named for its large sparky p26 oscillator.
DiamondShip (B2n3-qr4cejntwz5cjkry6ei8/S02-cn3-aek4ijnq5cir6an7c)
The spaceship in this rule resembles a diamond. Additionally, there is an unusually large patch of strobing checkerboard agar for its commonness.
DotsAndBugs (R2,C2,S2-3,6-9,18-24,B7-8,10,16,19-20,22-24)
An HROT rule with two common spaceships: an asymmetrical c/2o and a c/3d. Many small still lives exist in this rule.
DustBunnies (B2kn3-cen4c5r8/S1c2-c3-ej4ceiknqy5ei8)
This rule contains lots of large still lives that resemble dust bunnies. The two natural spaceships have speeds of c/4o and 4c/8o glide-reflective.
ElectricCheckerboard (B2cek3ejknr4ejknqry5-ikr6akn7c8/S2-ck3ery4eikqr5ckn6-kn78)
Outside of the strobing checkerboard agar, there exists a c/3o, while inside the more stable agar, there exist signals with speeds of c/3o, c/5o, and a 6c/56d block puffer.
GalaxyTrees (B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7)
A rule named for its large, common star-like oscillator and a small c/3 that resembles a tree.
Giraffes0 (B012aci3ai4ijt5y6aek7/S1c3iy4yz5inq6ikn)
A strobing rule with a common c/2o, a c/8o relatively large for its commonness, and a (4,1)c/12 giraffeship, hence the name.
Jellyfish (R2,C2,S4-8,17-20,B7-8,10,16)
Named for its c/3o spaceship, this HROT rule also contains a c/2o and a c/13o. There are a moderately large number of still lives in this rule.
Lasers (B2cin3aejqr4iknqrw5acqr6cik7e8/S01e2cik3cej4cekntwz5jkqr6-ci78)
Containing a wickstrecher, this rule contains
NeonReef (B2-ak3jn4cijq6in7/S1c2ace3air4aqrt5-ekqr6-ce78)
Named by an AI, this rule has large, dense still lives that support many oscillators, including a p19. This rule has a small c/3o and a large, asymmetric c/20o.
PineconeSeeds (B2ac3cnq4cei5er6k7e/S02c3ceiy4cqy5acy6ci78)
This B2a rule fosters many photonic linear and quadratic growths. It also contains small still lives resembling pinecones.
SeaCaves (B34j5r/S2aen3-a4-nz5qy6n)
This rule contains two similar c/2o spaceships, with the main difference being odd or even symmetry.
Spines (B012aen3-kr4enz5acny6-k7e/S2-k3-in4-cirwy5-jy6in)
An interesting feature of this strobing rule is that there is an abundance of many c/2 spaceship variations. There are also alternative backends that allow growing spaceships.
Starflakes (B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78)
This rule is named for its small oscillators that look similar to stars, and because there is an unusually common large still life. There is an unusually large p690 oscillator, however, the rule has not been proven omniperiodic or Turing-Complete yet.
SnowflakeCollision (B2ci3-cnqr4crtw5ny6e/S02-i3-ar4-inwz5-jqr6-ac)
A very nearly exploding rule with two unusually large still lives, a 37-cell still life with a 2-cell predecessor and a 70-cell still life with a 5-cell predecessor. The only known spaceship is a c/3d.
SnowflakeDayAndNight (B2cik3aer4ektyz5air6/S013-air4-cijkz5-aer6aen78)
A self-complementary rule with a 2-cell predecessor for a large still life. This rule has a common c/2o, and there is a 6c/24d that just barely fails to become a linear growth due to the B2n condition.
SuperpondLife (B34q7c/S23-r7c)
This 4-transition from Life rule is named because of an unusual abundance of superponds. This rule also contains a small 5c/42d and a c/5d.
T-Complementary (B2e3eij4jtz5aeik6in7c8/S1e2-in3-aeik4-iyz5-eij6-e78)
A self-complementary rule with a small c/2. There are two known guns for it. This rule has strong potential to be proved Turing Complete--a 90-degree reflector or a splitter might need to be built first. Most soups stabilize into highly stable still lives or oscillators.
TidalWaves (B2e3eijr4ae5aekn6c8/S1e2ce3jny4ijkrw5ein6ack)
Containing a supportable failed replicator, this rule is explosive. The replicator emits a wide c/2o spaceship, making it more common than a smaller spaceship of that speed. Additionally, there exists a c/3d in this rule.
Trilobites (B2-a5/S134ac5k8)
This rule is named for its glide-reflective 4c/20o, among its many oscillators. There is also a c/4d spaceship.
ZebraLife (B1e2ein3jky4iqtz5aq6en/S1e2ikn3cer4krz5ei6c7c)
Though seemingly explosive, when left running for long enough, patterns eventually stabilize into the zebra stripes agar. There are four signals: a (1,0)c/2, a (1,0)c/8, a (0,2)c/4, and a (0,4)c/38. In this representation, the x-value of the speed denotes the number of cells traveled parallel to the zebra stripes agar, while the y-value determines the number of cells traveled perpendicular to it.
Retrieved from "https://conwaylife.com/w/index.php?title=User:R2INT&oldid=169257"