## Perfect Orthogonal Speeds in Life-like CA

For discussion of other cellular automata.

### Perfect Orthogonal Speeds in Life-like CA

This thread probably wont be updated for a while.

Rules:

- Perfect = no numbers (except 1) preceding c in the speed notation.

- Life spaceships are prioritized (except caterloopillars and other engineerables).

- The spaceship speed, where possible, should be equal to 1/mod (and preferably 1/period), so a c/2 ship should optimally be period 2, and a c/17 should be period 17. Flippers like the LWSS would be accepted but are of lesser priority.

- If there is no Life spaceship, then the smallest spaceship in any rule wins.

- Rules with B0 are highly discouraged, but accepted if there are no alternatives.

c/1: (Impossible in Life)
`x = 2, y = 3, rule = B2a3r/S2o2\$o!`

c/2: (Unnamed)
`x = 31, y = 8, rule = b3/s235b3o15b3o\$4bo3bo13bo3bo\$3b2o4bo11bo4b2o\$2bobob2ob2o3b3o3b2ob2obobo\$b2obo4bob2ob3ob2obo4bob2o\$o4bo3bo4bobo4bo3bo4bo\$12bo5bo\$2o7b2o9b2o7b2o!`

c/3: (Unnamed)
`x = 16, y = 5, rule = B3/S237b2obo\$4b2obob2ob3o\$b4o2b2o6bo\$o4bo3bo3b2o\$b2o!`

c/4: (Unnamed)
`x = 19, y = 12, rule = B3/S23bo\$bo8bo\$obo5bo3bo\$8bo3b2o\$5bob2o5b2o\$b6o2bo6bo\$2b2o6bo3b3o\$10bo3bob2o\$13bo\$18bo\$17bo\$17bo!`

c/5: (spider)
`x = 27, y = 8, rule = B3/S239bo7bo\$3b2obobob2o3b2obobob2o\$3obob3o9b3obob3o\$o3bobo5bobo5bobo3bo\$4b2o6bobo6b2o\$b2o9bobo9b2o\$b2ob2o15b2ob2o\$5bo15bo!`

c/6: (Unnamed)
`x = 26, y = 12, rule = B3/S235b3o10b3o\$3obo7b2o7bob3o\$4bo3bo2bo2bo2bo3bo\$4bo5bo4bo5bo\$10b2o2b2o\$7bo3bo2bo3bo\$7bobo6bobo\$8b10o\$10bo4bo\$8bo8bo\$7bo10bo\$8bo8bo!`

c/7: (loafer)
`x = 9, y = 9, rule = B3/S237bo\$6bobo\$5bo2bo\$6b2o2\$2bo5bo\$bobo3bo\$o2bo3b2o\$o2b2o3bo!`

c/8:
`x = 6, y = 3, rule = B2-a3-ij/S13bo2bo2\$2o2b2o!`

c/9:
`x = 5, y = 4, rule = B2ik34i/S13-e2bo\$o3bo2\$bobo!`

`x = 6, y = 13, rule = B3/S232b2o\$bo2bo\$bo2bo\$o4bo\$o4bo\$b4o\$2o2b2o\$o4bo\$o4bo3\$b4o\$2b2o!`

c/11:
`x = 3, y = 5, rule = B24/S02obo\$bo3\$bo!`

c/12:
`x = 4, y = 4, rule = B3/S2-a3-a4-ai5aikny4o\$o2bo\$4o\$o2bo!`

c/13:
`x = 5, y = 3, rule = B2n3-jn/S1c23-y2bo\$b3o\$o3bo!`

c/14:
`x = 6, y = 4, rule = B2n3ai4a78/S356782b2o\$b4o\$6o\$bo2bo!`

c/15:
`x = 6, y = 2, rule = B34cj5n6n/S23-r4ito3b2o\$b3o!`

c/16:
`x = 3, y = 3, rule = B2ce3aiy/S12aei3rbo\$obo\$obo!`

c/17:
`x = 5, y = 10, rule = B34n7/S232bo\$bobo\$bobo\$2bo3\$2bo\$bobo\$2ob2o\$obobo!`

c/18:
`x = 7, y = 6, rule = B3567/S0145o7bo\$4bo\$2bobobo\$bo5bo2\$4bo!!`

c/19:
`x = 4, y = 4, rule = B2ein3aci4jqrw5ar/S23-aq44o\$o2bo2\$b2o!`

c/20:
`x = 5, y = 4, rule = B35678/S12472bo\$2ob2o2\$obobo!`

c/21:
`x = 5, y = 8, rule = B36/S0135bobo\$2bo\$2bo\$bobo\$bobo\$o3bo2\$2bo!`

c/22:
`x = 8, y = 6, rule = B3567/S1367b2o2b2o\$obo2bobo\$2bo2bo3\$3b2o!`

c/23:
`x = 7, y = 4, rule = B3/S01456783bo2\$2obob2o\$3bo!`

c/24:
`x = 7, y = 12, rule = B2e3ai4arw5678/S3-an4ar5i6783bo\$bobobo\$2b3o\$7o\$b5o\$7o\$7o\$2b3o\$bobobo\$2b3o\$3bo\$3bo!`

c/25:
`x = 3, y = 5, rule = B2e34ci/S12cn45bo\$bo\$obo\$obo\$bo!`

c/26:
`x = 6, y = 7, rule = B3457/S04578b4o\$bo2bo\$o4bo\$bo2bo\$2o2b2o\$bo2bo\$b4o!`

c/27:
`x = 5, y = 5, rule = B34568/S3678bobo\$bobo\$bobo\$o3bo\$b3o!!`

c/28:
`x = 5, y = 5, rule = B35678/S24675o\$bobo\$o3bo\$2bo\$o3bo!`

c/29:
`x = 7, y = 4, rule = B345/S04782b3o\$ob3obo\$b5o\$o5bo!`

c/30:
`x = 9, y = 5, rule = B346/S3578bo5bo\$b2obob2o\$3o3b3o\$4bo\$bo5bo!`

c/31:
`x = 7, y = 6, rule = B34678/S0262bobo\$2b3o\$o5bo2\$bo3bo\$3bo!`

c/32:
`x = 6, y = 7, rule = B3678/S2378bo2bo\$2o2b2o\$2o2b2o4\$6o!`

c/33:
`x = 4, y = 7, rule = B37/S0245784o2\$o2bo\$4o\$b2o2\$4o!`

c/34:
`x = 5, y = 4, rule = B2ce3-ei5n7c/S23-e4tz2o\$2o2bo2\$4bo!`

c/35:
`x = 13, y = 4, rule = B36/S2375b3o2\$2o3bobo3b2o\$2o4bo4b2o!`

c/36:
`x = 6, y = 5, rule = B35/S34672o2b2o\$6o2\$2b2o\$b4o!`

c/37:
`x = 6, y = 6, rule = B346/S356b4o\$2o2b2o\$ob2obo2\$b4o\$b4o!`

c/38:
`x = 5, y = 10, rule = B3467/S015672bo4\$o3bo3\$obobo\$2bo\$2bo!`

c/39:
`x = 17, y = 5, rule = B378/S245686bo3bo\$6bo3bo\$3bo2bo3bo2bo\$b2o2bo5bo2b2o\$4o9b4o!`

c/40:
`x = 5, y = 5, rule = B2cekn3-in4w/S1c2aei3-ajbobo\$obobo2\$2ob2o\$2bo!`

c/41:
`x = 5, y = 5, rule = B34678/S02678bobo\$2ob2o\$bobo\$2ob2o\$b3o!`

c/42:
`x = 3, y = 4, rule = B2-a3ir4jkqtw5enry6aen78/S01c2k3in4y5jknr8obo3\$bo!`

c/43:
`x = 10, y = 7, rule = B345678/S0453b4o\$b8o\$2bo4bo\$10o\$2b6o\$obo4bobo\$3b4o!`

c/44:
`x = 5, y = 3, rule = B2-ac3aceik5cjry6-a/S23-akn4o3bo\$obobo\$bobo!`

c/45:
`x = 7, y = 6, rule = B37/S23672obob2o\$o5bo\$bobobo\$3bo\$2bobo\$3ob3o!`

c/46:
`x = 10, y = 7, rule = B34568/S04583bo2bo\$b8o\$bobo2bobo\$o2b4o2bo\$3b4o\$3o4b3o\$2b6o!`

c/47:
`x = 6, y = 5, rule = B347/S014578b4o\$bo2bo\$b4o2\$o4bo!`

c/48:
`x = 5, y = 9, rule = B347/S0452bo\$o3bo\$o3bo\$obobo\$obobo\$2ob2o\$2bo\$b3o\$2bo!`

c/49:
`x = 5, y = 7, rule = B345/S045782bobo\$4o\$bo2bo\$o2bo\$bob2o\$2o\$3bo!`

c/50:
`x = 8, y = 8, rule = B3457/S0452b4o\$2o4b2o2\$o6bo\$2b4o\$3o2b3o2\$bo4bo!`

c/51:
`x = 3, y = 4, rule = B2-ae3acei4cnry5eqy6i7e/S02n4kq5eq6c7cobo3\$bo!`

c/52:
`x = 3, y = 4, rule = B2cen3ejqr4ekty5cjkqy6aen8/S01c2cei3eir4acinq5-ceqr6cekbo3\$obo!`

c/53:
`x = 9, y = 10, rule = B345/S4573b3o\$3b3o\$b3ob3o2\$obobobobo\$9o\$3obob3o\$b7o\$b2obob2o\$3b3o!`

c/54:
`x = 1, y = 6, rule = B2-ac3-ay4cijtwyz5-aenq6ci7e8/S01e2k3cnr4cz5qr6io2\$o3\$o!`

c/55:
`x = 7, y = 6, rule = B3457/S158o5bo\$2o3b2o\$7o\$o5bo\$3ob3o\$3bo!`

c/56:
`x = 5, y = 4, rule = B3678/S245685o\$b3o\$b3o\$2bo!`

c/57:
`x = 3, y = 2, rule = B2c3aceiq4eijkrt5ejnr6ai/S01c2aei3-aikn4kqrtz5nry6ik8bo\$obo!`

c/59:
`x = 10, y = 12, rule = B367/S0356784b2o\$4b2o\$3b4o\$b8o\$b8o\$b8o\$b8o\$b8o\$10o\$b8o\$b8o\$3b4o!`

c/60:
`x = 8, y = 17, rule = B36/S0356783b2o\$3b2o\$b6o\$2b4o\$8o\$b6o\$b6o\$b6o\$b6o\$b6o\$b6o\$b6o\$b6o\$2b4o\$2b4o\$2b4o\$3b2o!`

c/61:
`x = 3, y = 5, rule = B2-an3enq4ekry5eikn6ain7c/S02-ce3ceir4cjkntwy5acqr6ain7eobo4\$bo!`

c/62:
`x = 3, y = 34, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/63:
`x = 9, y = 10, rule = B348/S056782bo3bo\$2b2ob2o\$bobobobo\$2b5o\$b7o\$9o\$9o\$9o\$3obob3o\$o2b3o2bo!`

c/64:
`x = 5, y = 5, rule = B2-ac3-jnqr/S1c23-akny4b3o\$bobo\$bobo\$2ob2o\$o3bo!`

c/66:
`x = 9, y = 9, rule = B3478/S1282b5o\$4bo\$2o5b2o\$bo5bo\$bo2bo2bo\$bobobobo\$bobobobo\$bobobobo\$b7o!`

c/67:
`x = 8, y = 8, rule = B348/S0256obo2bobo\$b2o2b2o\$b2o2b2o\$2o4b2o4\$bo4bo!`

c/68:
`x = 3, y = 37, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/70:
`x = 5, y = 7, rule = B3568/S3468o3bo2\$5o\$5o\$obobo\$5o\$b3o!`

c/72:
`x = 3, y = 39, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/73:
`x = 5, y = 5, rule = B2i34cik7/S23-a4cikn7obobo\$o3bo\$o3bo2\$b3o!`

c/74:
`x = 3, y = 40, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/76:
`x = 3, y = 41, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/78:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/80:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/81:
`x = 16, y = 15, rule = B3457/S052bob8obo2\$2b4o4b4o\$bo12bo\$2bo2b6o2bo\$2o12b2o\$2b5o2b5o\$2o12b2o\$2bo2b6o2bo\$bo12bo\$2b12o2\$4b2o4b2o2\$6b4o!`

c/82:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/83:
`x = 10, y = 9, rule = B345/S453bo2bo\$3b4o\$bo2b2o2bo\$bo2b2o2bo\$2o6b2o\$2o2b2o2b2o\$3o4b3o\$obo4bobo\$2bob2obo!`

c/84:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/86:
`x = 8, y = 8, rule = B3468/S0278b6o\$o6bo\$ob4obo\$b6o2\$8o\$bo4bo\$o6bo!`

c/87:
`x = 9, y = 7, rule = B345/S45782b5o\$3b3o\$2ob3ob2o\$2bobobo\$2o2bo2b2o\$2b5o\$bob3obo!`

c/88:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/89:
`x = 11, y = 15, rule = B3457/S0573b2ob2o\$2bo5bo\$3b5o\$2bo5bo\$3b5o\$2bo5bo\$2b2obob2o\$2o7b2o\$2b2o3b2o\$2o7b2o\$2b2o3b2o2\$3b5o2\$3b5o!`

c/90:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/92:
`x = 7, y = 5, rule = B3468/S01678b5o\$2o3b2o\$o5bo\$obobobo\$bo3bo!`

c/94:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/96:
`x = 3, y = 42, rule = B2c3ae4ai56c/S2-kn3-enq43o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$obo\$bo!`

c/98:
`x = 17, y = 9, rule = B36/S23bo13bo\$2bo11bo\$o2bo9bo2bo\$obo11bobo\$o15bo2\$2b2o9b2o\$2bobo7bobo\$3bo9bo!`

c/106: (B0)
`x = 15, y = 6, rule = B0148/S02ob2ob5ob2obo\$15o\$15o\$15o\$15o\$bob2o5b2obo!`

c/132: (p264) (B0)
`x = 4, y = 5, rule = B0135/S0142b2o\$bo\$2bo\$b2o\$obo!`

c/141:
`x = 13, y = 9, rule = B3458/S056785bobo2\$4b5o2\$2b2ob3ob2o\$2o9b2o\$2bo2b3o2bo\$2o9b2o\$2b3obob3o!`

c/154: (B0)
`x = 10, y = 8, rule = B0235/S12342bo4bo\$2b6o\$2b6o\$2ob4ob2o\$10o\$ob6obo\$10o\$10o!`

c/158: (p316)
`x = 8, y = 10, rule = B34567/S0456b4obo\$b7o\$o2b4o\$bob5o\$o2b4o\$bo5bo\$o4b2o\$bo2b4o\$b4o\$3bobo!`

c/2068:
`x = 8, y = 8, rule = B34578/S456bobobo\$2b4o\$2ob2o2bo\$4obobo\$2ob3o\$8o\$2b4o\$b3obo!`

c/5648:
`x = 12, y = 14, rule = B3457/S45685b2o\$3bo4bo\$3b2o2b2o\$b3o4b3o\$b3o4b3o\$2ob6ob2o\$3ob4ob3o\$ob3o2b3obo\$2ob6ob2o\$obobo2bobobo\$2b2ob2ob2o\$2b8o\$4b4o\$4bo2bo!`
Last edited by muzik on August 26th, 2017, 4:01 pm, edited 67 times in total.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2723
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Another smallest c/8, same bounding box and cell count, but in a Life-like rule.
`x = 6, y = 3, rule = B356/S0356bo2bo2\$ob2obo!`
stop drop and goll

_zM

Posts: 152
Joined: June 26th, 2016, 3:07 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

Why, exactly, are Life spaceships prioritized over others?
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1702
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Perfect Orthogonal Speeds in Life-like CA

Because that's the CA that most people know, and we're trying to find all the spaceships for it.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2723
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

muzik wrote:Because that's the CA that most people know, and we're trying to find all the spaceships for it.

...that's close to the reason I expected, but this *is* the Other Cellular Automata forum.
And quite frankly, most Life spaceships aren't terribly interesting in and of themselves.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1702
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Perfect Orthogonal Speeds in Life-like CA

I think this is the smallest c/12
`x = 3, y = 4, rule = B2in3/S2-e3bo\$obo\$obo\$2o!`

also c/47 run in golly
`x = 3, y = 2, rule = B014a/S23c3o\$2o!`
Proud owner and founder of Sakagolue
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2478
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Perfect Orthogonal Speeds in Life-like CA

Found by gsearch:
`#C Moves horizontally 1 and vertically 0 in 11 generations.x = 11, y = 6, rule = B35678/S015678o4b3o\$2bo2b6o\$2b9o\$2b9o\$2bo2b6o\$o4b3o!`
Still drifting.
Bullet51

Posts: 453
Joined: July 21st, 2014, 4:35 am

### Re: Perfect Orthogonal Speeds in Life-like CA

Smaller ships
c:
`x = 2, y = 3, rule = B2ace/S2o2\$o!`

c/2:
`x = 3, y = 2, rule = B2e3-a/S2bo\$obo!`

c/3:
`x = 3, y = 2, rule = B2e3i/S2-in3ij4i3o\$obo!`

c/4:
`x = 4, y = 1, rule = B2-ak3eiy/S123i6ob2o!`

c/5:
`x = 3, y = 2, rule = B3/S2-i33o\$bo!`

c/6:
`x = 3, y = 2, rule = B2i3/S023-a3o\$bo!`

c/7:
`x = 4, y = 4, rule = B36c/S233o2\$o2bo\$b3o!`

c/11:
`x = 5, y = 4, rule = B2ci34ajq/S12-a2bo2\$o3bo\$bobo!`

None of these (except maybe the c/3) are mine.
I have the best signature ever.

toroidalet

Posts: 858
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

### Re: Perfect Orthogonal Speeds in Life-like CA

>tons of non-totalistic rules
twinb7

Posts: 172
Joined: February 11th, 2014, 8:08 pm
Location: Ames, Iowa

### Re: Perfect Orthogonal Speeds in Life-like CA

twinb7 wrote:>thread title says 'life-like CA'
>tons of non-totalistic rules

What's wrong with that?
Proud owner and founder of Sakagolue
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2478
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Perfect Orthogonal Speeds in Life-like CA

Saka wrote:
twinb7 wrote:>thread title says 'life-like CA'
>tons of non-totalistic rules

What's wrong with that?

I'm being nitpicky but the definition of 'life-like CA' entails that it is in the Moore neighborhood and totalistic.
twinb7

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Location: Ames, Iowa

### Re: Perfect Orthogonal Speeds in Life-like CA

twinb7 wrote:
Saka wrote:
twinb7 wrote:>thread title says 'life-like CA'
>tons of non-totalistic rules

What's wrong with that?

I'm being nitpicky but the definition of 'life-like CA' entails that it is in the Moore neighborhood and totalistic.

That's old. Now all life-like means is that it's Moore and is not a ruletable
Proud owner and founder of Sakagolue
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Perfect Orthogonal Speeds in Life-like CA

I honestly think that I should make it so that the mod and the period should be the same.
2c/n spaceships project

Current priorities: see here
muzik

Posts: 2723
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Here's a c/13 since one hasn't been posted yet:
`x = 9, y = 6, rule = B3/S24562b2ob2o\$3bobo\$ob5obo\$2o5b2o\$bob3obo\$2bo3bo!`

Lewis

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Location: UK

### Re: Perfect Orthogonal Speeds in Life-like CA

Non-totalistic rules are very distinctly unlike life.
succ

blah

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Joined: April 9th, 2016, 7:22 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

c/9 in a Life-like rule:
`x = 14, y = 9, rule = B3678/S0356784b4o\$bob5obo\$2b8o\$14o\$12o\$14o\$2b8o\$bob5obo\$4b4o!`
Still drifting.
Bullet51

Posts: 453
Joined: July 21st, 2014, 4:35 am

### Re: Perfect Orthogonal Speeds in Life-like CA

Saka wrote:
twinb7 wrote:I'm being nitpicky but the definition of 'life-like CA' entails that it is in the Moore neighborhood and totalistic.

That's old. Now all life-like means is that it's Moore and is not a ruletable

blah wrote:Non-totalistic rules are very distinctly unlike life.

Well, now I'm thinking that maybe I'm getting old. I'd have to agree with blah that "Life-like" is only in common use for rules that can be specified by B{numbers}/S{numbers}. Golly's "Life-Like" sample patterns are all Life-like in the traditional sense, for example.

Isotropic non-totalistic rules went into a different folder, "Non-Totalistic". Might have to adjust that for the next Golly release, though, if we start supporting LifeViewer's MAP format for the full 2^512-sized space of all non-totalistic rules -- i.e., the same set of rules that Calcyman's megacell can be programmed to simulate.

On the other hand, asymmetrical non-totalistic rules are kind of counterintuitive, and I don't know of any good examples of patterns that could be checked in to an Anisotropic sample folder in Golly. (I hope someone will remedy that soon, but right now the easiest way to experiment with such rules is in LifeViewer... Golly would need a custom rule table for each rule, and I don't think there's a script to generate such rule tables automatically.)

It certainly seems as if anisotropic rules, with the possibility of spaceships that can only fly in one direction, should definitely not count as Life-like.

dvgrn
Moderator

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### Re: Perfect Orthogonal Speeds in Life-like CA

I agree that the term "Life-like" should be reserved for semi-totalistic rules.
There are 10 types of people in the world: those who understand binary and those who don't.

Alexey_Nigin

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Location: Ann Arbor, MI

### Re: Perfect Orthogonal Speeds in Life-like CA

A c/34
`x = 5, y = 4, rule = B2ce3-ei5n7c/S23-e4tz2o\$2o2bo2\$4bo!`
Proud owner and founder of Sakagolue
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Perfect Orthogonal Speeds in Life-like CA

Oh and c/40 too
`x = 5, y = 5, rule = B2cekn3-in4w/S1c2aei3-ajbobo\$obobo2\$2ob2o\$2bo!`
Proud owner and founder of Sakagolue
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2478
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Perfect Orthogonal Speeds in Life-like CA

I think we should prioritise ships with mod = period.
2c/n spaceships project

Current priorities: see here
muzik

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Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Finally updated.
2c/n spaceships project

Current priorities: see here
muzik

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Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Orthogonal Speeds in Life-like CA

Likely smallest c/11
`x = 3, y = 5, rule = B24/S02obo\$bo3\$bo!`
-Josh Ball.

velcrorex

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Joined: November 1st, 2009, 1:33 pm

### Re: Perfect Orthogonal Speeds in Life-like CA

velcrorex wrote:Likely smallest c/11
`x = 3, y = 5, rule = B24/S02obo\$bo3\$bo!`

Tied with this one I found a while ago for bounding box, but not for minimum population (which is 5 not 7):
`x = 5, y = 3, rule = B2ci34ajq/S12-aobobo\$b3o\$2bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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### Re: Perfect Orthogonal Speeds in Life-like CA

Throwing a curveball. (c/15d. Yes, I read the title. #rebel):
`x = 3, y = 6, rule = B2ce3a/S12obo\$obo\$bo2\$2bo\$2bo!`
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

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