## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
dani
Posts: 1002
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

Rhombic wrote:After a couple hours, 269 iterRulesrc results for a D2_+1 4-cell search:
The c/32 rule has 3 ships:

Code: Select all

x = 4, y = 19, rule = B2cek4aiqrw5ry/S01c2ikn3-acqy4-ekqw5jry
3bo$o$3bo6$b2o$o$obo6$obo$2o$obo!

I may APGsearch
she/her
moose#0915

jimmyChen2013
Posts: 134
Joined: December 11th, 2017, 3:28 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

Naturally-occured butterfly still-life

Code: Select all

x = 7, y = 9, rule = B3-ce/S2-i35ce6ce
b2o$o2bobo$bo2bobo$2b4o$bo$2b4o$bo2bobo$o2bobo$b2o!

Failed Replicator!

Code: Select all

x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo$obo$bobo$2bo!  (That I wish was not failed D:) PHPBB12345 Posts: 748 Joined: August 5th, 2015, 11:55 pm Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata Hutton32 rule has self-replicator. Code: Select all x = 105, y = 99, rule = Hutton32 104.J$104.J$103.LpA$LO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO3KOKO5KO4K
2O4K5OKOKJ$4IM5IM5IM5IM5IM5IM5IM5IMIM3IM5IM5IM5IM5IM5IM5IM5IM5IM2IPJ$
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5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KJ$3IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5I M5IM5IM5IM5IM5IM5IM3ILJ$P2KO2K3O3K3OKO2KOKO2KO5KO5KO5KO5KO5KO5KO5KO5K
O5KO5KO5KO5KO5KOKJ$IMI9M5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM ILJ$L3KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO3KJ$IM5IM5IM 5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IPJ$LKO5KO5KO5KO5KO5KO5KO
5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KJ$3IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5I M5IM5IM5IM5IM5IM3ILJ$P5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5K
O5KOKJ$2IMIM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5I5MI5MI5MI5MI5MI3MPJ$LOKOK
OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OK5OKOJ$5MIMIMIMI5MIMIMI MI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMLJ$P3OKOK
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KOKOJ$MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI 5MIMIMIMI5MIMIMIMLJ$LOK5OKOKOKOK5OKOKOKOK5OKOKOKOK5OKOKOKOK5OKOKOKOK
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K5OKOKOKOK5OKOKOKOK5OKOKOKOK5OKOKOKOK5OKOKOKJ$2MIMIMIMI5MIMIMIMI5MIMI MIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIMI5MIMIMIPJ$PK5OKOKOKO
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OKOK2OJ$IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IPJ$LKO5KO
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O5KO5KO5KO5KO5KO5KOKJ$5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5I M5IMILJ$LO2KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO5KO3KJ$5MI 5MI5MI5MI5MI5MI5MI5MI5MI5MI5MI5MI5MI5MI5MI5MI5MIMPJ$L2K5OKO4K5OKO4K5O
KO4K5OKO4K5OKO4K5OKO4K5OKO4K2O4K2O4K2O4K2O4KJ$IMI5M4IMI5M4IMI5M4IMI5M 4IMI5M4IMI5M4IMI5M4IMI5M4IMI5M4IMIMPJ$LK5OKO4K5OKO4K5OKO4K5OKO4K5OKO
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5O2K2OKO2KJ$M5IM5IM5IM5IM2IMI5MIMIMI4M4IMI8MIMI5M4IMI8MIMI5M4IMI5M4IM PJ$L2KO5KO5KO5KO5KO5KO5KO5KO5KO5K2OKOK2OK5OK5OKOKOKOK5OKOKOKOK5O3KOJ$2IM5IM5IM5IM5IM5IM5IM5IM5IM5IM2IMI5MIMIMI7MI2M4IMI4MIMIMI5MIMPJ$LO5KO
5KO5KO5K3OKOK4OK2O2KOKOKOKOKO4K5OKO4K5OKOK5O3K3OK5OKOKOK4OKO4KJ$4IM5I M5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM2IMI5MIMIMIPJ$PO2KOKOK5OK5OK
5OK5OKOKOKO4K2O4K2OK5OK5OK5OK5OK5OK5OK5OK5OK6OJ$5IM5IM5IM5IM5IM5IM5IM 5IM5IM5IM5IM5IM5IM5IM5IM5IM5IMILJ$PKOK3OKOK3OKOK3OKOK3OKOK3OKOK3OKOK
3OKOK3OKOK3OKOK3OKOK3OKOK3OKOK3OKOK3OKOK4OKOKOK5OKOJ$2MIMI3MIMI2M5IM 5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IM5IMLJ$L3KO5KO5KO5KO5KO5KO5KO5K
O5KO5KO5KO5KO5KO5KO5KOKO2KO5KO4KJ$IM5IM5IM5IMIM3IM77ILJ$L103KJ$103ILJ$L103KJ$104IJ!  Majestas32 Posts: 524 Joined: November 20th, 2017, 12:22 pm Location: 'Merica ### Re: Miscellaneous Discoveries in Other Cellular Automata Photon in B1e rule without b2c or b3i: Code: Select all x = 3, y = 3, rule = B1e3-n5q/S1e2-ek3-n 2o$2bo$b2o! Please, stop spam searching Snowflakes. Gamedziner Posts: 796 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Miscellaneous Discoveries in Other Cellular Automata Majestas32 wrote:Photon in B1e rule without b2c or b3i: Code: Select all x = 3, y = 3, rule = B1e3-n5q/S1e2-ek3-n 2o$2bo$b2o! Another: Code: Select all x = 4, y = 3, rule = B1e3-i5q/S1e2-ek3-n 3o$3bo$2b2o! EDIT: And another: Code: Select all x = 3, y = 3, rule = B1e3a/S3i4a6c 2o$3o$2o! Might be known. Code: Select all x = 81, y = 96, rule = LifeHistory 58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!


Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Some really lovely finds by LLS in otherwise boring rules that are so non-explosive that one would assume they do not support spaceships:

Code: Select all

x = 10, y = 10, rule = B2ik3-cjny6-i/S2-n3aeikn4ckqtz5-acy
3bo4b2o$2bobo2bobo$5bo2b2o$2bo2bo3bo$bo3bo$bobob5o$4bo3bo$ob2obo$o2bob
2o$2bobo!  I'd consider this a soupship since it looks like some kind of random soup in every phase. EDIT: another ship in a particularly stable rule Code: Select all x = 7, y = 6, rule = B3aeiqy4-knqtw6ek/S2-en3-ejkr4yz5-knq 3b2o$6bo$b3ob2o$o5bo$4b2o$3b2o!

SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Saka
Posts: 3414
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

LLS is really fun.
3c/5o

Code: Select all

x = 5, y = 7, rule = B1e2cin3aciqr4ackqy5einr6n78/S01e2-en4acekrz5-ejkr6acn7e
3b2o$4bo2$4bo2$o$2o!

(2,3)c/5

Code: Select all

x = 4, y = 8, rule = B2ac3a4r5ijq6ekn7/S02ai3acekn4aejkqrw5ajn6ein7c
bo$o3$3bo2$3bo$b3o!

Is there a way to force B1e?

EDIT(s):
4c/5o

Code: Select all

x = 4, y = 4, rule = B2-kn3kry4actwy5aenqr6in7c/S01e2ce3-aci4-aeinq5ijy6i78
4o$bo$3bo$3bo!  2c/5d Code: Select all x = 7, y = 6, rule = B2-ei3ac4ikqry5iqy6cik7c/S02aen3ckny4-aejqz5cejkr6eik7e 3bo$bobo2bo$o$4bo2$5bo!  3c/5o in a rule without S012 Code: Select all x = 4, y = 6, rule = B2-en3cer4acjnrwy5-ej6-ak7e8/S3cij4cjtwyz5-acn6-k7c8 2bo2$bobo2$2obo$2bo!

Random small c/5o

Code: Select all

x = 3, y = 4, rule = B34-nty5-ejnq67/S3-cey4-iz5-iny6-ac7c8
2o$b2o$2bo$obo!  Weird wide c/2 in a B2a rule Code: Select all x = 4, y = 11, rule = B2ain4-jknwz5e6cei7/S3-ky4-aeqt5cin6-an8 2bo$2b2o$obo$b2o$2b2o$b2o$4o$2bo$2bo$2b2o$2bo!  Another wide c/2 in a rule w/o b2a Code: Select all x = 5, y = 13, rule = B2cek4ejyz5cenqy6-i7/S3-er4-aeint5-ack6-ck7c8 2bo$3bo$b2obo$b2o$bobo$b2o2$2bo$b2o$bo$2obo$2bo$bo!

Unrelated to LLS but I found this weird thing that makes a nonspinski at the bottom part

Code: Select all

x = 16, y = 40, rule = B2ain4-jknwz5e6cei7/S3-ky4-aeqt5cin6-an8
6bobo$4bob2obobobobo$2bo2b5obobobo$o35$8bo$8bo!  Code: Select all o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b obobobo$3bobobob2o3bo2bobo!

(Check gen 3)

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

### Re: Miscellaneous Discoveries in Other Cellular Automata

To force B1e, do -r pB1e-c2-a345678/S012345678

Or pB1e-c2c-a3i45678/S012345678 for relativistic (non-lightspeed) ships

Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Miscellaneous Discoveries in Other Cellular Automata

If I want to force B3, do I have to type out B3aceijknqry?
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

BlinkerSpawn wrote:If I want to force B3, do I have to type out B3aceijknqry?
Apparently, yes.
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Macbi
Posts: 735
Joined: March 29th, 2009, 4:58 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

Yep

AforAmpere
Posts: 1111
Joined: July 1st, 2016, 3:58 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Searching for (2,1)c/2 up to 11x11 seemed to turn up nothing? Does one exist?

EDIT, (3,2)c/4!:

Code: Select all

x = 2, y = 3, rule = B02aei3-enq4nrz5ijnqr6aek7c/S1c2-an3-ajqy4iknqrty5ijk6ak
bo$2o$2o!

Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

vyznev
Posts: 27
Joined: April 23rd, 2016, 4:08 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

AforAmpere wrote:Searching for (2,1)c/2 up to 11x11 seemed to turn up nothing? Does one exist?
I suspect not. I tried up to 32x32, and still nothing.

I'm starting to suspect that any rule that supports expansion at that speed and period is likely explosive, but I haven't managed to prove that yet.
AforAmpere wrote:(3,2)c/4!:

Code: Select all

x = 2, y = 3, rule = B02aei3-enq4nrz5ijnqr6aek7c/S1c2-an3-ajqy4iknqrty5ijk6ak
bo$2o$2o!

Here's a smaller one:

Code: Select all

x = 2, y = 3, rule = B02-ce3-r4aeikr5-ciry6cek7e/S02-c4aijr5i6a
2o$o$bo!

And an even smaller one yet:

Code: Select all

x = 2, y = 3, rule = B01e2i3aqr4qt5ej6aei7/S1e2e4iny5enr6cn7e
o2$2o!  EDIT: OK, I think I have a proof that (2,1)/c2 is impossible. Specifically, I have this LLS search pattern: Code: Select all 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 1 b1 c1 d1 e1 f1 *' *' i1 j1 k1 l1 1 0 0 0' y2' z2 a2 b2 c2 d2 e2 f2 *' *' i2 j2 k2 l2 m2 n2 o2 p2' y3' z3 a3 b3 c3 d3 e3 f3 *' *' i3 j3 k3 l3 m3 n3 o3 p3' y4' z4 a4 b4 c4 d4 e4 f4 *' *' i4 j4 k4 l4 m4 n4 o4 p4' y5' z4 a5 b5 c5 d5 e5 f5 *' *' i5 j5 k5 l5 m5 n5 o5 p5' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' y8' z8 a8 b8 c8 d8 e8 f8 *' *' i8 j8 k8 l8 m8 n8 o8 p8' y9' z9 a9 b9 c9 d9 e9 f9 *' *' i9 j9 k9 l9 m9 n9 o9 p9' 0' 0 1 b0 c0 d0 e0 f0 *' *' i0 j0 k0 l0 1 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' * * * * * * * *' *' * * * * * * 1 1' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' *' * * * * * * * *' 1' * * * * * * * *' *' * * * * * * 1 1' 1' 1 1 1 1 1 1 1 1' 1' 1 1 1 1 1 1 1 1' 1' 1 1 1 1 1 1 1 1' 1' 1 1 1 1 1 1 1 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 1' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 1 b1 c1 d1 e1 *' *' h1 i1 j1 k1 l1 1 0 0' x2' y2 z2 a2 b2 c2 d2 e2 *' *' h2 i2 j2 k2 l2 m2 n2 o2' x3' y3 z3 a3 b3 c3 d3 e3 *' *' h3 i3 j3 k3 l3 m3 n3 o3' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' *' x6' y6 z6 a6 b6 c6 d6 e6 *' *' h6 i6 j6 k6 l6 m6 n6 o6' x7' y7 z7 a7 b7 c7 d7 e7 *' *' h7 i7 j7 k7 l7 m7 n7 o7' x8' y8 z8 a8 b8 c8 d8 e8 *' *' h8 i8 j8 k8 l8 m8 n8 o8' x9' y9 z9 a9 b9 c9 d9 e9 *' *' h9 i9 j9 k9 l9 m9 n9 o9' 0' 0 0 1 b0 c0 d0 e0 *' *' h0 i0 j0 k0 l0 1 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0 0 0 0 0 0 0 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0'  The search pattern above actually consists of four independent quadrants, separated in each generation by two rows and two columns of "don't care" cells that can take any value and don't have to obey the CA rule. So we're effectively looking for a single rule that can support the evolution of each of these independent quadrants under the given constraints. The top left quadrant of the first generation contains a single live cell, with all dead cells on the rows above it and on the same row to the left of it. It should be fairly evident that any pattern with a finite, non-zero number of live cells always contains a matching subpattern. (Just let the marked live cell be the leftmost live cell on the topmost non-empty row.) The other three quadrants are the same, but mirrored horizontally and/or vertically; the last generation is the same as the first, but with the cells in each quadrant shifted two spaces right and one down. The generation in between just consists of unknown cell states, except on the edges where we know some of the cells must be live (since all their ancestors are dead, and since we're looking for a B0 rule). Running this input through LLS with the rule string pB0c12345678/S01234567 gives the following output: Code: Select all ~/git/logic-life-search$ nice ./lls -r pB0c12345678/S01234567 hyperknight.txt

Getting search pattern...
Done

Preprocessing...
Done

Number of undetermined cells: 466
Number of variables: 505
Number of clauses: 175286

Active width: 18
Active height: 13
Active duration: 3

Solving...
Done

Time taken: 7.03316807747 seconds

Unsatisfiable

In effect, this proves that there is no isotropic CA rule where the ends of the top/bottom row of any pattern could both advance, retreat and move sideways at (2,1)c/2. Which proves that there cannot be any spaceship with that period and speed.

Ps. I suspect the search pattern above is actually bigger than necessary, and that some of the rows and/or columns could probably be removed, and some named cells replaced by asterisks, while still leaving the pattern unsatisfiable. If sufficiently thus reduced, one might even be able to extract a short human-readable proof of why no isotropic rule can support (2,1)c/2 spaceships from it.

EDIT 2: Here's a simplified version of the search pattern above that's still unsatisfiable:

Code: Select all

0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'
0'  0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0   0'
0'  0   1   b1  c1  d1  e1  *'  *'  *'  i1  j1  k1  l1  1   0   0   0'
*'  z2  a2  b2  c2  d2  e2  *'  *'  *'  i2  j2  k2  l2  m2  n2  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  z9  a9  b9  c9  d9  e9  *'  *'  *'  i9  j9  k9  l9  m9  n9  *'  *'
0'  0   1   b0  c0  d0  e0  *'  *'  *'  i0  j0  k0  l0  1   0   0   0'
0'  0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0   0'
0'  0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0   0'
0'  0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0   0'
0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'

1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'
1'  *   *   *   *   *   *   *   *'  *'  *   *   *   *   *   *   *   1'
*'  *   *   *   *   *   *   *   *'  *'  *   *   *   *   *   *   *   *'
*'  *   *   *   *   *   *   *   *'  *'  *   *   *   *   *   *   *   *'
*'  *   *   *   *   *   *   *   *'  *'  *   *   *   *   *   *   *   *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *   *   *   *   *   *   *   *'  *'  *   *   *   *   *   *   *   *'
1'  *   *   *   *   *   *   *   *'  *'  *   *   *   *   *   *   *   1'
1'  1   1   1   1   1   1   1   1'  1'  1   1   1   1   1   1   1   1'
1'  1   1   1   1   1   1   1   1'  1'  1   1   1   1   1   1   1   1'
1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'  1'

0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'
0'  0   0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0'
0'  0   0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0'
0'  0   0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0'
0'  0   0   1   b1  c1  d1  e1  *'  *'  *'  i1  j1  k1  l1  1   0   0'
*'  *'  z2  a2  b2  c2  d2  e2  *'  *'  *'  i2  j2  k2  l2  m2  n2  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'  *'
*'  *'  z9  a9  b9  c9  d9  e9  *'  *'  *'  i9  j9  k9  l9  m9  n9  *'
0'  0   0   1   b0  c0  d0  e0  *'  *'  *'  i0  j0  k0  l0  1   0   0'
0'  0   0   0   0   0   0   0   0'  0'  0'  0   0   0   0   0   0   0'
0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'  0'

Last edited by vyznev on February 3rd, 2018, 4:37 am, edited 5 times in total.

Saka
Posts: 3414
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

All in B1e:
c/2o

Code: Select all

x = 4, y = 7, rule = B1e2cik3-eijn4arwyz6i7e8/S2-kn3jknr4jnrt5ejn6c7e8
2o$o$o2bo$bo$3bo$o$2o!

c/3o

Code: Select all

x = 6, y = 4, rule = B1e2cn3-ijr4-cekry5-aijy6aen78/S01e2akn3-einr4ajnq5akr6a7
3b2o$b3obo$o4bo$obo!  c/4o Code: Select all x = 6, y = 5, rule = B1e2cn3acenr4acnyz5-ajkq6aik8/S12ac3kqry4aenq5cejqy6ein7c bobo$5bo$o2bobo$2o$3b2o!  EDIT(s)++: c/5o is where it starts to get strange? Code: Select all x = 9, y = 8, rule = B1e2k3iknr4jry5ijkry6-kn7/S012-ek3aeiy4aetwz5eiqy6ekn 7b2o$5bob2o2$5bo3$obo$2o!  I guess (c/6o) Code: Select all x = 9, y = 7, rule = B1e2k3-aekq4acint5jnq6eik7e8/S01e2a3-aejn4-ceijn5acj6ek 7b2o$2o6bo$o$4bo2$5bo$4b2o!

Let's see if I have to adjust force_at_most for c/7o...

Nope! Still 10!
Surprisingly normal c/7o

Code: Select all

x = 6, y = 4, rule = B1e2-ac3-acry4crtwyz5ry6cek7c8/S12ack3-acjr4jkqrtyz5aeijn6ace7
2b4o$3b3o$o$2o!  Now changing force_at_most to 20... Really weird c/2d Code: Select all x = 8, y = 5, rule = B1e2-ak3eknq4-einqw5-ckqy6ckn7/S1e2in3-acjn4-aijr5ceikr6ae7e8 8o$4b2obo$2ob3obo$6bo$4b2o!  another Code: Select all x = 14, y = 9, rule = B1e2ci3ajnqr4acrwyz5eikn6ikn7e8/S02ikn3-acny4-ejkny5ejkqy6-ae7 3b7o2b2o$3b2o3b2o2b2o$3b5o4bo$3b3o3bob3o$5o$2o2b2o4bo$3o2b2o2bo$3b3o$6b2o!  c/3d Code: Select all x = 7, y = 6, rule = B1e2ek3iq4ceiktwy5ijkq6-in7c8/S1e2-cn3cjkn4iknqt5-nqry6i7e8 2b2o2$o2bob2o$obo3bo$3bobo$2b4o!  c/4d that LLS found that doesn't look like a B1e ship. Code: Select all x = 5, y = 5, rule = B1e2-ac3ciknq4cek5cky6cin7c/S1e2cik3acir4aijnrz5iy6-ci8 2ob2o$2ob2o$3bo$4o$2o!  Funny weird 4c/5o Code: Select all x = 4, y = 8, rule = B1e2cn3inr4aijqtz5-ceiy6-en7c8/S01c2-e3aceiy4ktwyz5-acy6kn 2obo$o2bo$2b2o$2b2o$2b2o$2b2o$o2bo$2obo!

(2,1)c/6

Code: Select all

x = 4, y = 4, rule = B1e2cen3cq4aiknqr5-aei6an7e8/S01e2-e3ceijq4aceknyz5ck6-e78
4o$2o$3bo$obo!  3c/5o Code: Select all x = 3, y = 6, rule = B1e2ik3-jr4-cqwz5-acnr6-c7e8/S01c2ac3acijq4-jrwy5-cei6cen7 b2o$2bo$obo$obo$2bo$b2o!

B2a:
(1,3)c/5

Code: Select all

x = 4, y = 5, rule = B2-e3ckqry4cijqtw5ikqr6-kn/S12kn3jkq4aiwz5ijkny6akn
bo$bo$3bo$b3o$4o!

c/5o

Code: Select all

x = 6, y = 5, rule = B2ain3acn4einrtw5acqry6cen78/S1e3aknry4aeqrt5cy6ck7c8
3o2bo2$3bobo$2bobo$2bo2bo!  Code: Select all o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b obobobo$3bobobob2o3bo2bobo!

(Check gen 3)

AforAmpere
Posts: 1111
Joined: July 1st, 2016, 3:58 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

9c/10 B0:

Code: Select all

x = 5, y = 8, rule = B012ekn3-ackn4-nry5cjknq6ckn/S01e2-a3acjnq4-eijrz5-eqr6-cn7e
2bo$bobo$2b3o$2bobo$b4o$ob2o$bobo$2bo!  EDIT, 4 cells: Code: Select all x = 2, y = 7, rule = B01c2ce3-ky4aceikyz5-ainq6i7e/S01c2-i3aeiy4inq5aej6ac o2$bo2$bo2$o!

Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

Saka
Posts: 3414
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

It appears that the statement that rules with S0123 cannot have spaceships is false.
Other than AbhpzTa's counterexample, I found more.
2c/3o

Code: Select all

x = 5, y = 7, rule = B1e2c3-ajkq4ceiqwz5ejr6ci7/S01234ciqr5-acnr6i
2b2o2$o3bo$o3bo$2bobo2$3b2o!

3c/5o

Code: Select all

x = 4, y = 6, rule = B1e2cen3-aqr4acnty5anry6k8/S01234ntz5ceknr6cei7e8
2b2o2$o2bo$ob2o$bo$2b2o!

c/2o

Code: Select all

x = 4, y = 3, rule = B1e2-an3cenq4-ai5aq6eik8/S01234ez5aery6ce
ob2o$3bo$ob2o!


Code: Select all

x = 4, y = 6, rule = B1e2cn3-ain4-rtyz5-aiqr6cek8/S01234jkntyz5aceiq6akn8
2b2o$bo$ob2o$ob2o$bo$2b2o!  2c/5o Code: Select all x = 8, y = 5, rule = B2cei3ceknq4aeinqz5-ajkq6aen7e8/S01234-acert5nr6ci8 6bo$7bo$2bobobo$o6bo$2o4bo!  c/3o (No B1e) Code: Select all x = 4, y = 6, rule = B2-a3cnqry4-y5cjqy6-a78/S01234entwz5cknqr6-kn7e 2bo$3bo$2b2o$2o$b3o$2bo!

c/4o

Code: Select all

x = 6, y = 5, rule = B1e2cin3-aiky4ejn5-aiqr6cn7c/S01234nqrty5-ejy6-ac7c
bobo$o$obo2bo$b2o$4b2o!

c/5o

Code: Select all

x = 5, y = 6, rule = B1e2cik3-aijk4ijnwyz5-ci6-a/S01234cijkqwy5-ac6ein
2b2o2$4bo$o2b2o$obo$b2o!

===Diagonal===
c/3d

Code: Select all

x = 6, y = 6, rule = B1e2cen3cqy4-ekwz5-aey6ckn78/S01234ceikqyz5ceiky6ace
2b2obo$bo$obo2bo$o2$obo!

c/4d

Code: Select all

x = 5, y = 5, rule = B1e2ckn3-akqr4-acery5-cnq6cek7e8/S01234ceknz5ikqry6-ak7e8
3b2o2$2o2bo$obobo$b2o!  c/5d Code: Select all x = 4, y = 6, rule = B2-ai3cejky4-ajkwz5-y678/S01234ceikntz5eijry6-kn 2b2o$3bo$o$2b2o$ob2o$o!

==Oblique===
(2,1)c/5

Code: Select all

x = 4, y = 5, rule = B1e2cn3ce4acektwy5aknr6-in7e8/S01234-anqz5aeknq6-in
b2o$o2bo$2o$o2bo$2o!

(2,1)c/6

Code: Select all

x = 5, y = 4, rule = B2ekn3cikqy4eijnqrw5-cjqr6-ek7c8/S01234ciwz5iq6k7e
2bobo$3b2o$5o$2bo!  (3,1)c/6 Code: Select all x = 3, y = 6, rule = B1e2ci3ceinr4ijkrtwy5aikq/S01234ikqrty5jqr6c7e b2o$obo$obo$obo2$2o!  (2,3)c/6 with a nice phase at gen 4 Code: Select all x = 5, y = 5, rule = B1e2cei3ejqy4cinqtw5-ceir6a7c/S01234erw5cej6cik 3b2o2$ob3o$b2o$obo!


Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!  (Check gen 3) Add your computer to the Table of Lifeenthusiast Computers! A for awesome Posts: 2043 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata Saka wrote:It appears that the statement that rules with S0123 cannot have spaceships is false. It was only ever true for entirely outer-totalistic rules anyway (in particular, for rules without B2a or B3a, which, if outer-totalistic, excludes all non-B0 rules with spaceships). x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce dani Posts: 1002 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata Can someone make this a rule with a sub c/2 spacefiller? I'd love to see a dynamic where a pond makes a spacefiller that eventually gets destroyed by the simple c/2 photon in this rule Code: Select all x = 4, y = 24, rule = B2e3i4qrw5ac6ekn7e/S1c2-ai3-eik4acw5ak7e8 o$bo$2o8$o$bo$o8$b2o$o2bo$o2bo$b2o!

she/her
moose#0915

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

A for awesome wrote:
Saka wrote:It appears that the statement that rules with S0123 cannot have spaceships is false.
It was only ever true for entirely outer-totalistic rules anyway (in particular, for rules without B2a or B3a, which, if outer-totalistic, excludes all non-B0 rules with spaceships).
Correct me if I'm wrong, but isn't B3a alone also insufficient for a rule to have spaceships (at least one of B2a, B2e or B3i would also be required)?

Majestas32
Posts: 524
Joined: November 20th, 2017, 12:22 pm
Location: 'Merica

### Re: Miscellaneous Discoveries in Other Cellular Automata

Yeah

dani
Posts: 1002
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### Re: Miscellaneous Discoveries in Other Cellular Automata

77topaz wrote:Correct me if I'm wrong, but isn't B3a alone also insufficient for a rule to have spaceships (at least one of B2a, B2e or B3i would also be required)?
But none of those would be allowed in totalistic rules, since B2a would disallow the whole B2, and B3a would disallow B3. B1e wouldn't work since B1c explodes in all directions, so the statement still stands strong.
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77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

danny wrote:
77topaz wrote:Correct me if I'm wrong, but isn't B3a alone also insufficient for a rule to have spaceships (at least one of B2a, B2e or B3i would also be required)?
But none of those would be allowed in totalistic rules, since B2a would disallow the whole B2, and B3a would disallow B3. B1e wouldn't work since B1c explodes in all directions, so the statement still stands strong.
Oh, I see, an outer-totalistic rule with B3a would automatically also have B3i, so an outer-totalistic rule with B3a (or, more simply, a B3 rule) would be able to have spaceships. It's just that the original phrasing of your statement (outer-totalistic rules without B2a or B3a, which are designations used for non-totalistic rules) confused me because of its contradictory nature.

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

a simple replicator, a relative of the b-heptomino:

Code: Select all

x = 5, y = 4, rule = B34cj8/S235e6c8
2bo$b3o$o2b2o$2o!  Look at me! I make patterns in golly and go on the forums! I wanna be Famous! PHPBB12345 Posts: 748 Joined: August 5th, 2015, 11:55 pm Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata googleplex wrote:a simple replicator, a relative of the b-heptomino: Code: Select all x = 5, y = 4, rule = B34cj8/S235e6c8 2bo$b3o$o2b2o$2o!

What is 4c/8 (or 8c/16) spaceship?

KittyTac
Posts: 533
Joined: December 21st, 2017, 9:58 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

Ruler Sequence replicator from Platoon. Discovered a while ago, but a post in the copypaste thread reminded me of it.

Code: Select all

x = 3, y = 2, rule = B2cek3i/S12-ak
bo\$obo!