Miscellaneous Discoveries in Other Cellular Automata

[AforAmpere]

A (19,7)c/85 knightpuffer shooting (7,6)c/28 knightships, wow:

Code: Select all

x = 100, y = 70, rule = B3-enqy4qr5jy7e/S2-c3-aeky4aeiy5ainq6ck
14$23b3o$23bobo$23bo$20b4o$20bo28bo$20b5o23b3o$23bo22bo4bo$46bobob2o$
46bo$45b2o2bo$44bobobobo$44b2o4bo$45bobo3bo19b2o$46b2o5bo10bo6bo5b4o$
24b3o20bo3bobo11bo11bo2b2o12bo$51b2o11b2o3b2obobo3bo2b2o11bo$59b3o6bob
obob2o2bo2bo7b2o3bo$57b2obobo9b3o4b2o8b2o$57b2o2bobo6bobobo4bo9b2o$58b
2o11b3o5b2o$44bo13bobobo16b2o$44bo14b3o17b2o$44bo15bo19bob2o$78b2ob2ob
2o$82bo2bo$84b2o$82b2o$79bo$79bo6$82bo$82bo$82bo2$60bo$60bobo$60b3o!

[Saka]

New adjustable speeds!

Code: Select all

x = 84, y = 34, rule = B2ce3k4ej5jr/S12ei3-aq4aejkrty5ejqy6ac7e8
14bo27bo37bo$15b3o25b3o35b3o$14bo27bo37bo12$obo$bo$bo$bo5$20bobo$21bo$
21bo$21bo5$50bobo$51bo$51bo$51bo!

Extended by danny. What's the period formula thing? I'm too lazy to check right now but the space between the engines increase by 8. EDIT: 29+66n, n >= 0; spacing is 3+8n, n >= 0

Max speed (c/29d)

Code: Select all

x = 10, y = 10, rule = B2ce3k4ej5jr/S12ei3-aq4aejkrty5ejqy6ac7e8
6bo$7b3o$6bo4$obo$bo$bo$bo!

The wick eater is a ship continuously colliding with the wick.

Wick accelerator:

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x = 23, y = 68, rule = B2ce3k4ej5jr/S12ei3-aq4aejkrty5ejqy6ac7e8
bo2$bo3$obo3$bo2$bo3$obo3$bo2$bo3$obo3$bo2$bo3$obo3$bo2$bo3$obo3$bo2$b
o3$obo3$bo2$bo14$obo17bobo$bo19bo$bo19bo$bo19bo!

[Saka]

Double post but complete different.

What even is this rule

Code: Select all

x = 36, y = 17, rule = B3aijn4iw5y/S1c2ace3jnr
13bo$13bobo$16bo$16bobo$19bo$19bobo$22bo$22bobo$25bo$25bobo$28bo$20bo
7bobo$12bo8bo9bo$bo10bobo6bobo7bobo$2bo3bobo6b2o7b2o8b2o$3o4b2o5b2o7b
2o8b2o$7bo!

Note that the 2 glider phases are different ships.

[BlinkerSpawn]

Double post but complete different.

What even is this rule

Code: Select all

x = 36, y = 17, rule = B3aijn4iw5y/S1c2ace3jnr
13bo$13bobo$16bo$16bobo$19bo$19bobo$22bo$22bobo$25bo$25bobo$28bo$20bo
7bobo$12bo8bo9bo$bo10bobo6bobo7bobo$2bo3bobo6b2o7b2o8b2o$3o4b2o5b2o7b
2o8b2o$7bo!

Note that the 2 glider phases are different ships.

Tried to simplify the rule a bit and, well...

Code: Select all

x = 36, y = 17, rule = B3-cr4i/S1c2-k3
13bo$13bobo$16bo$16bobo$19bo$19bobo$22bo$22bobo$25bo$25bobo$28bo$20bo
7bobo$12bo8bo9bo$bo10bobo6bobo7bobo$2bo3bobo6b2o7b2o8b2o$3o4b2o5b2o7b
2o8b2o$7bo!

It'd be cool to search for a fencepost for the wick.
EDIT: Ok, that's pretty cool:

Code: Select all

x = 16, y = 4, rule = B3-cr4i/S1c2-k3
bobo8bobo$o3bo6bo3bo$bobo8bobo$2bo10bo!

[AforAmpere]

C/36, very slow for B2a:

Code: Select all

x = 3, y = 3, rule = B2-ek3k5n/S02ein34ejz5cejry6-ik78
2bo2$obo!

[Saka]

Not adjustable speed but WHAT THE HECK

Code: Select all

x = 103, y = 53, rule = B2cen3ackr4-jkryz5ckqy6-cn7e8/S12i3qy4aciw5-jkr6ak
3bo49bo$3o47b3o$3bo49bo12$15bobo$16bo$16bo$16bo32$100bobo$101bo$101bo$
101bo!

BONUS: Enable autofit and play at 50x

[Cclee]

Not adjustable speed but WHAT THE HECK

Code: Select all

x = 103, y = 53, rule = B2cen3ackr4-jkryz5ckqy6-cn7e8/S12i3qy4aciw5-jkr6ak
3bo49bo$3o47b3o$3bo49bo12$15bobo$16bo$16bo$16bo32$100bobo$101bo$101bo$
101bo!

Bambozzled

[AforAmpere]

3c/7 diagonal, yeah!:

Code: Select all

x = 3, y = 3, rule = B2aci3ak4k5c/S02e3i4aijrw5jy6e
2bo2$obo!

EDIT: AND 4c/9 diagonal!:

Code: Select all

x = 3, y = 3, rule = B2-ek3akr4q5c6c/S01e2e3ijr4arw5ac6n
2bo2$obo!

3c/8 diagonal:

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x = 3, y = 3, rule = B2-ek3ae4r5a/S01e3j4e5ack
2bo2$obo!

Another 3c/7:

Code: Select all

x = 3, y = 3, rule = B2-en3ak4iw5acr/S02ek3aiy5ck
2bo2$obo!

[wildmyron]

@AforAmpere: some nice finds there - including that knightpuffer at the top of the page.

Here are some teasers related to a post on the scripts forum. I hope the provide some inspiration.

3c/38 diagonal puffer

Code: Select all

x = 8, y = 4, rule = B2i3-cnq4cikqrtz5cejk6c8/S02aek3-aek4cny5cekqr6an7e
5bo$o4b2o$6b2o$5b2o!

14c/76 orthogonal puffer

Code: Select all

x = 3, y = 4, rule = B2in3aeijr4cjkt5ackr6ci7c/S02-ci3-ay4cinrz5kq6kn7c8
o$2o$b2o$2o!

14c/28 orthogonal puffer

Code: Select all

x = 3, y = 4, rule = B2i3-nqy4ciqtyz5jky6i7c8/S2-n3ijnqr4cinqrt5cijkr6k7
o$2o$b2o$2o!

14c/82 orthogonal puffer [Edit: reduced]

Code: Select all

x = 3, y = 4, rule = B2i3aijry4cijrtz5aej6i7c/S01c2aek3-acey4einqt5-ajqy6ck7c8
o$2o$b2o$2o!

12c/24 orthogonal puffer

Code: Select all

x = 13, y = 7, rule = B2i3aijry4ekrtz5en6a8/S01c2aek3-aky4cei5-ainy6akn8
o2b2o$2bo2bo$2bo2bo4b3o$2b3o7bo$4bo5bobo$10b2o$6bo!

[Saka]

Weird thing in the weird nonextendable ships rule

Code: Select all

x = 18, y = 236, rule = B2cen3ackr4-jkryz5ckqy6-cn7e8/S12i3qy4aciw5-jkr6ak
bo$bo$obo17$4b2o9$6b2o9$8b2o9$10b2o9$12b2o9$14b2o9$16b2o9$11b2o9$9b2o
9$7b2o9$5b2o9$3b2o9$b2o9$6b2o9$b2o9$6b2o9$b2o9$6b2o9$b2o9$6b2o9$b2o9$
6b2o9$b2o9$6b2o9$b2o!

EDIT:
2c/10o weird cloud thing

Code: Select all

x = 6, y = 5, rule = B2ce3ac4acer5ci6akn7e8/S13i4-cez5-c67
5o$6o$6o$b5o$2b3o!

Crazy thing. What the heck?

Code: Select all

x = 16, y = 16, rule = B2cen3ackr4-jkryz5ckqy6-cn7e8/S12i3qy4aciw5-jkr6ak
2ob5ob2o2bobo$2obob4o3bo2bo$4ob2obo2b2obo$b2obo2bo5b3o$b2o3b3o4b3o$b2o
b2obobob3obo$obobob2obo3bobo$2b2o7bo2b2o$4o11bo$2b4ob2o3b4o$2obobob3o
2b2o$b6o2b3obobo$2o2b4ob2o3bo$2o2bo3b5ob2o$bo4b3o2b2o2bo$2b5o3bob2o!

[Saka]

Yet ANOTHER adjustable speeds rule. Wick based again.

Code: Select all

x = 82, y = 24, rule = B2cen3acr4aenyz5ijnqy6ek7e/S12ik3eqry4ikq5j6ai7
3bo31bo29bo$3o29b3o27b3o$3bo31bo29bo14$79bobo$80bo$51bobo26bo$52bo27bo
$21bobo28bo$22bo29bo$22bo$22bo!

Max speed (c/62d)

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x = 14, y = 14, rule = B2cen3acr4aenyz5ijnqy6ek7e/S12ik3eqry4ikq5j6ai7
3bo$3o$3bo8$11bobo$12bo$12bo$12bo!

Period: 62+6n, n >= 0
Speed: c/Period diagonal

[Rhombic]

This rulespace is interesting! Good call, Saka!

Not adjustable:

Code: Select all

x = 20, y = 20, rule = B2cek3kqry4aeiz5ceijq6aik8/S12i3ejqry4jqt5cik6ckn7c
3bo$3o$3bo14$17bobo$18bo$18bo$18bo!

Code: Select all

x = 21, y = 21, rule = B2-ai3acn4eijkqry5aejr6aik7e8/S12i3y4cjr5ejnq6k7c
3bo$3o$3bo15$18bobo$19bo$19bo$19bo!

[muzik]

So how many adjustable rules of this from have been found so far?

[Saka]

So how many adjustable rules of this from have been found so far?

2:

Code: Select all

x = 82, y = 24, rule = B2cen3acr4aenyz5ijnqy6ek7e/S12ik3eqry4ikq5j6ai7
3bo31bo29bo$3o29b3o27b3o$3bo31bo29bo14$79bobo$80bo$51bobo26bo$52bo27bo
$21bobo28bo$22bo29bo$22bo$22bo!

Period: 62+6n, n >= 0
Speed: c/Period diagonal

Code: Select all

x = 84, y = 34, rule = B2ce3k4ej5jr/S12ei3-aq4aejkrty5ejqy6ac7e8
14bo27bo37bo$15b3o25b3o35b3o$14bo27bo37bo12$obo$bo$bo$bo5$20bobo$21bo$
21bo$21bo5$50bobo$51bo$51bo$51bo!

Period = 29+66n, n >= 0
Speed = c/Period diagonal

[muzik]

Replicator with displacement value for adjustable-period photons:

Code: Select all

x = 2, y = 17, rule = B2a4i5j/S1e3r
bo$2o14$2o$bo!

[Saka]

Very amusing ships which consist of a blinker pushing a block
c/7o

Code: Select all

x = 5, y = 3, rule = B2i3-ejky4arz5q6e/S01c2eik3aekny4-ikwy5eijqr6-in8
o$o2b2o$o2b2o!

Adding B3e gives a c/6o:

Code: Select all

x = 5, y = 3, rule = B2i3-jky4arz5q6e/S01c2eik3aekny4-ikwy5eijqr6-in8
o$o2b2o$o2b2o!

4c/18o

Code: Select all

x = 5, y = 3, rule = B2eik3-aeky4-krtwz5ejknq6ein7c/S02ik3an4-aeqtz5akr6-kn7c
o$o2b2o$o2b2o!

[AforAmpere]

Very high period for a B2a ship, p66:

Code: Select all

x = 3, y = 3, rule = B2-ek3akq4cejknq5iknry6ein/S02ei3eijr4ackw5akn6acn
2bo2$obo!

EDIT, p76:

Code: Select all

x = 3, y = 3, rule = B2-ek3ak4cnqz5ikn6ce/S02ein3aijnr4ikw5an6ac7c
2bo2$obo!

[Saka]

Unexpected

Code: Select all

x = 6, y = 6, rule = B2-a3r4ekr5ceiq6eik7c8/S013ij4acntw5c6e
4bo$5bo$3b3o$2bo$obo$b2o!

It also has this 3-cell strange growth

Code: Select all

x = 3, y = 2, rule = B2-a3r4ekr5ceiq6eik7c8/S013ij4acntw5c6e
obo$bo!

After 50K gens:

3cell.png (8.61 KiB) Viewed 10255 times

Fun 2c/52o that looks like a block and a beehive wrestling each other

Code: Select all

x = 7, y = 3, rule = B2k3-cjkq4anrty5aciq6n7e/S23acqry4ceknryz5c6c7c
b2o$o2bob2o$b2o2b2o!

[praosylen]

3c/4 engine in a B1e rule:

Code: Select all

x = 10, y = 13, rule = B1e2c3ij4in/S1e2eik3ejqr4-aceqy5kry8:P10,0
4b2o$3bo2bo$2b6o$bo6bo$bob4obo$2b2o2b2o$3bo2bo$3b4o$2b2o2b2o$3o4b3o$o
8bo$o8bo$ob6obo!

Spaceships are possible in principle but likely not in practice based on this.

[AforAmpere]

First (4,3) oblique ship in B2a, at (4,3)c/12:

Code: Select all

x = 4, y = 3, rule = B2ac3ckqy4t5c/S12ak3ay5jq
3bo$2bo$obo!

[praosylen]

First (4,3) oblique ship in B2a, at (4,3)c/12:

Code: Select all

x = 4, y = 3, rule = B2ac3ckqy4t5c/S12ak3ay5jq
3bo$2bo$obo!

Nice! Somewhat unfortunate that that speed is still within the speed limit for non-B2a rules.

[AforAmpere]

This pattern, from a rule I know I've seen somewhere, muzik posted about it in the 5s thread, this pattern takes over 1,200,000 generations to stabilize into a spaceship:

Code: Select all

x = 3, y = 51, rule = B2c3a6ac7e/S1e2cik3ejnr4i
bo$obo$3o$obo$3o$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$o
bo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo
$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$o!

EDIT, this one takes 4.6 million:

Code: Select all

x = 3, y = 93, rule = B2c3a6ac7e/S1e2cik3ejnr4i
bo$obo$3o$obo$3o$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$o
bo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo
$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$o
bo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo
$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$o
bo$obo$obo$obo$o!

[Saka]

Another adjustable speeds. Still the same thing.

Code: Select all

x = 93, y = 24, rule = B2-ai3-eijy4-jnqwy5ciq6ei7c8/S12i3cy4ckt
3bo31bo36bo$3o29b3o34b3o$3bo31bo36bo14$17bobo$18bo$18bo32bobo$18bo33bo
$52bo37bobo$52bo38bo$91bo$91bo!

Period: 29+6n
Speed: c/Period diagonal
Max speed: c/29d

Code: Select all

x = 12, y = 12, rule = B2-ai3-eijy4-jnqwy5ciq6ei7c8/S12i3cy4ckt
8bo$9b3o$8bo6$obo$bo$bo$bo!

[AlephAlpha]

Miscellaneous discoveries in 3457/357/5 (the cellular automaton shown as loading screen on Wolfram|Alpha):

Four oscillators:

Code: Select all

x = 3, y = 3, rule = 3457/357/5
3A$B2A$.CD!

Code: Select all

x = 5, y = 5, rule = 3457/357/5
2.B$.CAC$BADAB$.3A$.3A!

Code: Select all

x = 5, y = 5, rule = 3457/357/5
2.C$.BDB$5A$.3A$2.A!

Code: Select all

x = 9, y = 9, rule = 3457/357/5
3.3A$3.3A$3.ACA$3A.A.3A$2ACA.AC2A$3A.A.3A$3.ACA$3.3A$3.3A!

Several spaceships:

Code: Select all

x = 5, y = 4, rule = 3457/357/5
2.AC$3ABD$2AC$2ABD!

Code: Select all

x = 5, y = 6, rule = 3457/357/5
2.AC$3ABD$2AC$2AC$3ABD$2.AC!

Code: Select all

x = 8, y = 6, rule = 3457/357/5
2.AC$3ABDAB$2AC.2ACB$2AC.2ACB$3ABDAB$2.AC!

Code: Select all

x = 9, y = 9, rule = 3457/357/5
2.AC$3ABDAB$2AC.2ACA$2ABD3ABD2$2ABD3ABD$2AC.2ACA$3ABDAB$2.AC!

Code: Select all

x = 8, y = 10, rule = 3457/357/5
2.AC$3ABD$2AC.AC$2AC.ABAD$8A$2.A2D2B$2.A2DABA$6ACA$2AC.A.AB$2ABD!

Code: Select all

x = 9, y = 12, rule = 3457/357/5
2.AC$3ABD$2AC.AC$2AC.2ADC$6ADB$2.A2D2ACB$2.A2D2ACB$6ADB$2AC.2ADC$2AC.
AC$3ABD$2.AC!

Two puffers:

Code: Select all

x = 8, y = 18, rule = 3457/357/5
2.AC$3ABD$2AC.AC$2AC.ABAD$5ABA$2.A2DA$2.A2DA$7A$2AC.AD2A$2AC.AD2A$7A$
2.A2DA$2.A2DA$5ABA$2AC.ABAD$2AC.AC$3ABD$2.AC!

Code: Select all

x = 13, y = 24, rule = 3457/357/5
2.AC$3ABD$2AC.AC.ACD$2AC.5A.C$5AC3ABD$2.A2DA2B2.C$2.A2DB4A$9A.AD$2AC.
A2DA.2A$2AC.A2D2AC2A$8A2C2AD$2.A2D2CA2C2AD$2.A2D2CA2C2AD$8A2C2AD$2AC.
A2D2AC2A$2AC.A2DA.2A$9A.AD$2.A2DB4A$2.A2DA2B2.C$5AC3ABD$2AC.5A.C$2AC.
AC.ACD$3ABD$2.AC!

[muzik]

Weird? replicator?

Code: Select all

x = 7, y = 2, rule = B2ae3n6i/S1e2n3r
o5bo$b2ob2o!