What is the smallest (known) log-growth pattern in any isotropic non-totalistic Life-like cellular automaton (without B0)?
Bonus: And log(log)-growth?
2718281828 wrote:What is the smallest (known) log-growth pattern in any isotropic non-totalistic Life-like cellular automaton (without B0)?
x = 41, y = 3, rule = B2ci3aer4eiqrz5i6cik8/S01c2cn3ek4nqtw5aekry6ekn78
39bo$obo35bobo$39bo!
Moosey wrote:Where can I find the cblocks rule table?
toroidalet wrote:2718281828 wrote:What is the smallest (known) log-growth pattern in any isotropic non-totalistic Life-like cellular automaton (without B0)?
4 cells with a 2-cell predecessor:Code: Select allx = 41, y = 3, rule = B2ci3aer4eiqrz5i6cik8/S01c2cn3ek4nqtw5aekry6ekn78
39bo$obo35bobo$39bo!
source (obviously I remember everything I've created)
x = 27, y = 28, rule = B2ci3aer4eiqrz5i6cik8/S01c2cn3ek4nqtw5aekry6ekn78
26bo27$obo!
toroidalet wrote:Moosey wrote:Where can I find the cblocks rule table?
I'm pretty sure cblocks allows unlimited instant pushing and so cannot be expressed by a rule table.
GUYTU6J wrote:What is the highest (known) period for an unloopable (loopability 1) RRO in isotropic non-totalistic Life-like cellular automaton (without B0)?
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
x = 14, y = 3, rule = QuadLife
2B9.BC$A.B8.A.C$A10.A!
x = 15, y = 18, rule = QuadLife
2.C$3.C$.3C10$13.2B$12.2B$14.B$.2D$D.D$2.D!
x = 3, y = 3, rule = QuadLife
.AD$DB$.B!
x = 84, y = 42, rule = QuadLife
66.A$65.A$65.3A$24.A.A$25.2A$25.A9$54.2A$46.B6.A2.A$47.B5.A2.A$3.A41.
3B6.2A26.B$3.A.A75.B.B$3.2A76.B.A$82.B4$49.3A$2A49.A$.2A47.A$A12$40.
2A$41.2A$40.A!
x = 31, y = 24, rule = QuadLife
.A$2.A$3A9$17.A$18.A$16.3A2$24.A4.B$25.A2.B$23.3A2.3B4$23.3C2.3D$25.C
2.D$24.C4.D!
x = 12, y = 10, rule = QuadLife
9.B$9.B.B$9.2B5$.2A$A.A$2.A!
x = 8, y = 13, rule = QuadLife
.A$2.A$3A10$5.3B!
x = 3, y = 3, rule = QuadLife
A2B$A$.A!
#C shamelessly copied from the golly pattern collection after edits
x = 379, y = 369, rule = QuadLife
154.A36.A18.A$58.A18.A19.A16.A19.A18.A19.A16.A18.A36.A$57.A18.A19.A
16.A19.A19.3A16.A17.3A16.3A15.A17.A$57.3A16.3A17.3A14.3A17.3A36.3A51.
A18.3A$226.3A4$190.B$58.3B17.3B89.B18.2B55.B$58.B19.B20.B17.B20.B13.
2B15.2B18.B.B14.2B20.B16.2B$59.B19.B18.2B16.2B19.2B13.B.B14.B.B34.B.B
18.2B16.B.B$98.B.B15.B.B18.B.B12.B53.B20.B.B$.A4.A3.A.A3.A.A.A2.A3.A
3.A3.A4.A4.A.A2$.A.A2.A2.A3.A4.A4.A3.A3.A3.A.A2.A2.A2$.A2.A.A2.A3.A4.
A4.A.A.A3.A3.A2.A.A2.A2.A.A2$.A4.A2.A3.A4.A4.A3.A3.A3.A4.A2.A4.A266.A
$269.A22.A21.A62.A$.A4.A3.A.A5.A4.A3.A3.A3.A4.A4.A.A182.A15.A21.A22.A
22.3A18.A22.A17.A$229.A15.A22.3A20.3A40.A22.A18.3A$86.A16.A17.A16.A
16.A15.A17.A16.A22.3A13.3A86.3A20.3A$66.A18.A16.A17.A16.A16.A15.A17.A
16.A$65.A19.3A14.3A15.3A14.3A14.3A13.3A15.3A14.3A$65.3A4$224.3B15.3B
59.2B$76.3B16.3B16.3B15.3B15.3B14.3B16.3B15.3B19.B17.B11.2B23.2B20.B.
B20.2B40.2B$54.3B21.B18.B18.B17.B17.B16.B18.B17.B18.B17.B13.2B23.2B
21.B21.2B12.2B26.2B$56.B20.B18.B18.B17.B17.B16.B18.B17.B50.B24.B44.B
15.2B24.B$55.B285.B23$106.A157.A$74.A30.A157.A38.A$2.A.A4.A6.A3.A4.A
2.A3.A2.A.A.A2.A.A28.A15.A15.3A119.A.A.A2.A28.3A14.A20.A$46.A26.3A12.
A190.A21.3A$2.A3.A2.A6.A3.A.A2.A2.A2.A3.A6.A45.3A138.A4.A44.3A$46.A$
2.A.A4.A6.A3.A2.A.A2.A.A4.A.A.A2.A.A184.A4.A2$2.A3.A2.A6.A3.A4.A2.A2.
A3.A6.A2.A183.A4.A$305.3B$2.A.A4.A.A.A2.A3.A4.A2.A3.A2.A.A.A2.A3.A61.
2B119.A4.A.A.A44.B21.B$108.B.B146.2B23.2B22.B$66.2B21.2B17.B149.2B22.
B.B$65.B.B21.B.B165.B$67.B21.B17$84.A15.A39.A153.A24.A19.A$.A.A4.A7.A
.A4.A.A3.A3.A28.A20.A15.A39.A88.A3.A2.A.A.A20.A16.A15.A24.A19.A$61.A
21.3A13.3A15.A21.3A17.A99.A16.A16.3A22.3A17.3A$.A3.A2.A6.A3.A2.A3.A2.
A2.A28.3A52.A41.A69.A3.A2.A23.3A14.3A$116.3A39.3A$.A.A4.A6.A3.A2.A6.A
.A196.A.A.A2.A.A.A2$.A3.A2.A6.A3.A2.A3.A2.A2.A195.A3.A2.A2$.A.A4.A.A.
A3.A.A4.A.A3.A3.A85.3B106.A3.A2.A$54.3B62.B17.2B16.B103.B35.2B35.2B$
56.B21.2B15.2B23.B16.B.B14.2B102.2B16.2B17.B.B11.2B22.2B$55.B23.2B15.
2B39.B16.B.B101.B.B15.B.B16.B14.2B20.B$78.B16.B180.B32.B6$73.2A19.2A$
74.A20.A152.2A$249.A7$64.A233.A$63.A20.A194.A17.A$63.3A17.A166.A27.A
18.3A$2.A.A3.A6.A3.A.A4.A.A.A2.A.A47.3A143.A.A17.A28.3A$37.A211.3A$A
7.A6.A3.A3.A2.A6.A195.A3.A$37.A275.2A$A2.A.A2.A6.A3.A3.A2.A.A.A2.A.A
193.A.A82.A$256.2A$A4.A2.A6.A3.A3.A2.A6.A2.A192.A3.A23.A$80.B$2.A.A3.
A.A.A2.A3.A.A4.A.A.A2.A3.A20.2B19.2B148.A.A18.B42.2B$57.B.B19.B.B167.
2B13.2B26.B.B$59.B189.B.B13.2B27.B$264.B14$252.2A24.2A$253.A25.A$258.
A15.A$257.A15.A26.A$61.A195.3A13.3A23.A$A.A5.A.A5.A4.A.A.A34.A167.A.A
4.A63.3A$60.3A169.A45.B24.3B$A3.A2.A3.A3.A.A5.A204.A6.A41.2B24.B$232.
A44.B.B24.B$A.A4.A3.A2.A3.A4.A204.A.A4.A19.2B37.2A$254.B.B38.A$A3.A2.
A3.A2.A.A.A4.A204.A6.A20.B2$A.A5.A.A3.A3.A4.A204.A6.A2$53.2B$54.2B$
53.B18$3.A3.A3.A3.A3.A2.A.A.A30.A169.A6.A.A3.A5.A18.A$56.A207.A$3.A3.
A3.A3.A3.A2.A33.3A168.A5.A3.A2.A.A.A.A17.3A2$3.A.A.A3.A3.A3.A2.A.A.A
200.A5.A3.A2.A2.A2.A2$3.A3.A3.A4.A.A3.A204.A5.A3.A2.A5.A2$3.A3.A3.A5.
A4.A.A.A32.3B165.A.A.A2.A.A3.A5.A$59.B203.B$60.B201.2B$262.B.B17$67.A
$66.A$4.A6.A.A5.A4.A.A.A37.3A157.A.A.A2.A.A.A4.A4.A.A4.A.A4.A.A5.A.A
3.A.A$251.A13.A13.A17.A$4.A5.A3.A3.A.A3.A203.A4.A7.A.A3.A6.A3.A2.A6.A
3.A2.A20.A$251.A13.A13.A16.3A$4.A5.A3.A2.A3.A2.A.A.A199.A4.A.A.A2.A3.
A2.A.A4.A3.A2.A.A4.A3.A2.A.A2$4.A5.A3.A2.A.A.A2.A203.A4.A6.A.A.A2.A2.
A3.A3.A2.A2.A3.A3.A2.A2$4.A.A.A2.A.A3.A3.A2.A203.A4.A.A.A2.A3.A2.A3.A
2.A.A4.A3.A3.A.A3.A$58.2B239.B$57.B.B238.2B$59.B238.B.B16$59.A$58.A$
58.3A264.A$3.A.A.A4.A4.A.A.A2.A.A.A2.A.A193.A3.A4.A2.A.A.A2.A.A.A2.A.
A5.A.A3.A3.A4.A4.A4.A4.A.A3.A.A.A22.A$35.A221.A66.3A$3.A7.A.A5.A4.A6.
A195.A3.A.A2.A4.A4.A6.A6.A3.A2.A3.A3.A.A3.A.A2.A2.A7.A$35.A221.A$3.A.
A.A2.A3.A4.A4.A.A.A2.A.A193.A3.A2.A.A4.A4.A.A.A2.A.A4.A6.A.A.A2.A3.A
2.A2.A.A2.A2.A.A2.A.A.A$57.B$3.A6.A.A.A4.A4.A6.A2.A21.2B169.A3.A4.A4.
A4.A6.A2.A3.A3.A2.A3.A2.A.A.A2.A4.A2.A4.A2.A26.3B$56.B.B265.B$3.A.A.A
2.A3.A4.A4.A.A.A2.A3.A191.A3.A4.A4.A4.A.A.A2.A3.A3.A.A3.A3.A2.A3.A2.A
4.A4.A.A3.A.A.A23.B11$305.2A$306.A9$55.A16.A237.A$2.A.A5.A.A3.A4.A2.A
.A27.A16.A155.A.A.A2.A14.A.A3.A6.A3.A.A4.A.A.A2.A.A26.A$6.A47.3A14.3A
210.A24.3A$2.A6.A3.A2.A.A2.A2.A3.A200.A4.A7.A4.A7.A6.A3.A3.A2.A6.A$6.
A277.A$2.A.A4.A3.A2.A2.A.A2.A3.A200.A4.A5.A.A.A2.A2.A.A2.A6.A3.A3.A2.
A.A.A2.A.A2$2.A6.A3.A2.A4.A2.A3.A200.A4.A7.A4.A4.A2.A6.A3.A3.A2.A6.A
2.A26.3B$310.B$2.A7.A.A3.A4.A2.A.A46.B155.A4.A.A.A10.A.A3.A.A.A2.A3.A
.A4.A.A.A2.A3.A26.B$50.2B20.2B$51.2B19.B.B$50.B19$2.A.A5.A7.A.A4.A7.A
.A4.A.A3.A3.A2$2.A3.A3.A7.A3.A2.A6.A3.A2.A3.A2.A2.A28.A239.A$77.A239.
A$2.A.A5.A2.A.A2.A.A4.A6.A3.A2.A6.A.A28.3A237.3A$229.A.A4.A.A3.A.A.A
3.A.A3.A5.A3.A3.A4.A3.A.A$2.A3.A3.A7.A3.A2.A6.A3.A2.A3.A2.A2.A$228.A
3.A2.A3.A4.A4.A3.A2.A.A.A.A3.A3.A.A2.A2.A3.A$2.A.A5.A7.A.A4.A.A.A3.A.
A4.A.A3.A3.A$228.A3.A2.A8.A4.A3.A2.A2.A2.A3.A3.A2.A.A2.A3.A$77.3B$77.
B150.A3.A2.A3.A4.A4.A3.A2.A5.A3.A3.A4.A2.A3.A$78.B$229.A.A4.A.A5.A5.A
.A3.A5.A3.A3.A4.A3.A.A26.2B$307.B.B$309.B7$276.2A37.2A$277.A38.A6$
112.A13.A$2.A6.A.A5.A4.A.A.A9.A.A4.A6.A3.A4.A2.A3.A2.A.A.A2.A.A32.A
13.A$80.A30.3A11.3A$2.A5.A3.A3.A.A3.A8.A4.A3.A2.A6.A3.A.A2.A2.A2.A3.A
6.A$80.A$2.A5.A3.A2.A3.A2.A.A.A2.A.A.A2.A.A4.A6.A3.A2.A.A2.A.A4.A.A.A
2.A.A2$2.A5.A3.A2.A.A.A2.A8.A4.A3.A2.A6.A3.A4.A2.A2.A3.A6.A2.A2$2.A.A
.A2.A.A3.A3.A2.A13.A.A4.A.A.A2.A3.A4.A2.A3.A2.A.A.A2.A3.A$107.2B21.2B
195.A$107.B.B20.B.B193.A$107.B22.B98.A.A.A9.A.A3.A6.A3.A.A4.A.A.A2.A.
A7.A5.A2.A.A.A3.A.A3.A.A16.3A$278.A$233.A7.A7.A6.A3.A3.A2.A6.A9.A.A.A
.A2.A6.A5.A$278.A$229.A.A.A2.A.A2.A2.A.A2.A6.A3.A3.A2.A.A.A2.A.A7.A2.
A2.A2.A.A.A3.A.A3.A.A2$229.A11.A4.A2.A6.A3.A3.A2.A6.A2.A6.A5.A2.A10.A
5.A$324.B$229.A.A.A9.A.A3.A.A.A2.A3.A.A4.A.A.A2.A3.A5.A5.A2.A.A.A3.A.
A3.A.A13.2B$323.B.B7$69.A$68.A$46.A21.3A34.A$3.A5.A3.A3.A.A4.A.A18.A
58.A$45.3A56.3A$3.A.A.A.A3.A2.A6.A3.A2$3.A2.A2.A3.A3.A.A3.A2$3.A5.A3.
A6.A2.A3.A19.3B$47.B24.2B17.3B177.2A32.2A$3.A5.A3.A3.A.A4.A.A21.B23.B
.B18.B178.A33.A$72.B19.B!
x = 13, y = 40, rule = QuadLife
11.A$10.A$10.3A9$2.2B$.B.B$3.B16$3.A$2.A$2.3A6$.B$2B$B.B!
x = 3, y = 3, rule = B3-cky6cik/S23-ce4n7e
b2o$obo$b2o!
Moosey wrote:Is there a thread for this rule? There was discussion of it while back in rules with interesting failed reps:Code: Select allx = 3, y = 3, rule = B3-cky6cik/S23-ce4n7e
b2o$obo$b2o!
x = 80, y = 27, rule = B3-cky6cik/S23-ce4n7e
27bo$26bobo$2bo23bobo28bo5b2o3bo$2obo12b3o5b2o3b2o25b4ob2o2bobobo2b3ob
4o$o3bo11bob2o3bo7bo23b2obobo3bobo3bobobob2obo$2obo12b3o5b2o3b2o25b4ob
2o2bobobo2b3ob4o$2bo23bobo28bo5b2o3bo$26bobo$27bo3$23b3o$2b2o6bo12bobo
$b4o4bob2o8b2o3b2o$o3b2o2bo3bo8bo5bo$b4o4bob2o8b2o3b2o$2b2o6bo12bobo$
23b3o5$43bo5b2o3bo$42b4ob2o2bobobo2b3ob4o$41b2obobo3bobo3bobobob2obo$
42b4ob2o2bobobo2b3ob4o$43bo5b2o3bo!
x = 70, y = 29, rule = B3-cky6cik/S23-ce4n7e
28bo$27bobo$2b2o14bo8bobo$b4o12bob2o4b2o3b2o15bo5b2o3bo$o3b2o10bo3bo3b
o7bo13b4ob2o2bobobo2b3ob4o$b4o12bob2o4b2o3b2o13b2obobo3bobo3bobobob2ob
o$2b2o14bo8bobo16b4ob2o2bobobo2b3ob4o$27bobo17bo5b2o3bo$28bo4$2bo$2obo
4b3o6b2o$o3bo3bob2o4bob2o$2obo4b3o6b2o$2bo4$28bo$27bobo17bo5b2o3bo$2b
2o14bo8bobo16b4ob2o2bobobo2b3ob4o$b4o12bob2o4b2o3b2o13b2obobo3bobo3bob
obob2obo$o3b2o10bo3bo3bo7bo13b4ob2o2bobobo2b3ob4o$b4o12bob2o4b2o3b2o
15bo5b2o3bo$2b2o14bo8bobo$27bobo$28bo!
x = 151, y = 42, rule = B3-cky6cik/S23-ce4n7e
92bo$63bo5b2o3bo19bo$62b4ob2o2bobobo2b3ob4obobo4bo$61b2obobo3bobo3bobo
bob2obo2bo3b4o11b2o$62b4ob2o2bobobo2b3ob4obobo4bo10bo3bo4bo$51b2o10bo
5b2o3bo19bo4b2o2bo11bo8b2o$52bo39bo6bobo12b3o6bo2bo$49bo49b2o2bo11bo8b
2o$49b2o10b2o14b2o14b2o10bo3bo4bo$38b3o20b2o14b2o14b2o12b2o$28b2o8bobo
3b2o$28bobo7bobo3bobo11b2o14b2o14b2o14b2o$29bo9bo5bo11bo2bo12bo2bo12bo
2bo12bo2bo$19bo17bo3bo16bobo13bobo13bobo13bobo$18b3o16bobobo17bo15bo
15bo15bo$b2o14b2o2bo$o3b4o10bob3o$o3bo2bo9b4obo$o3b4o9b2o2b2o$b2o17bob
obo12bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo15bo15bo$13b2o3b3ob2obo2b2o
6bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo13bobo13bobo$13b2o3b
3ob2obo2b2o6bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo13bobo13b
obo$b2o17bobobo12bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo15bo15bo$o3b4o9b
2o2b2o$o3bo2bo9b4obo$o3b4o10bob3o$b2o14b2o2bo$18b3o16bobobo17bo15bo15b
o15bo$19bo17bo3bo16bobo13bobo13bobo13bobo$29bo9bo5bo11bo2bo12bo2bo12bo
2bo12bo2bo$28bobo7bobo3bobo11b2o14b2o14b2o14b2o$28b2o8bobo3b2o60b2o$
38b3o20b2o14b2o14b2o10b2o$49b2o10b2o14b2o14b2o8bo3bo4bo$49bo47b2o2bo
11bo8b2o$52bo39bo4bobo12b3o6bo2bo$51b2o10bo5b2o3bo19bo2b2o2bo11bo8b2o$
62b4ob2o2bobobo2b3ob4obobo4bo8bo3bo4bo$61b2obobo3bobo3bobobob2obo2bo3b
4o9b2o$62b4ob2o2bobobo2b3ob4obobo4bo$63bo5b2o3bo19bo$92bo!
Gustone wrote:Is PCA margolus
Gustone wrote:Is PCA margolus
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. . . .
D .
. . . . u .
. R . . L . --> . . l r . .
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muzik wrote:How many different conditions does the range-1 Moore 3D isotropic non-totalistic rulespace have?
Moosey wrote:Are there any guns for hybrid Gs in Quadlife or Immigration?
x = 45, y = 21, rule = QuadLife
18.2A$19.A7.A$19.A.A14.2A$20.2A12.2A2.A$24.3A7.2A.2A$24.2A.2A7.3A$24.
A2.2A12.2A$25.2A14.A.A$35.A7.A$43.2A2$2A$.A$.A.A13.3B$2.2A3.B8.B3.B$
6.B.2B6.B4.B$5.B4.B6.2B.B$6.B3.B8.B3.2A$7.3B13.A.A$25.A$25.2A!
x = 36, y = 25, rule = QuadLife
26.2B$9.2A14.B3.B$9.A.A12.B5.B$4.2A6.A11.B3.B.2B2.2A$2A.A2.A2.A2.A11.
B5.B3.2A$2A2.2A6.A12.B3.B$9.A.A14.2B$9.2A8$16.5A$15.A.3A.A$16.A3.A$
17.3A$18.A4$18.2A$18.2A!
x = 75, y = 50, rule = QuadLife
25.A$25.3A$28.A$27.2A7$39.2A$38.A2.A$30.A6.A.A.A$29.3A3.3A2.A$28.2A2.
A$30.3A4.2A$38.A6$27.A$27.2A4.3B$33.B2.2B$25.A2.3A3.3B$24.A.A.A6.B26.
2A$24.A2.A33.A2.A$25.2A35.A.A$41.A16.4A.A$41.A16.2A.2A$42.A7.2A9.A$
11.2A36.2A$10.A2.A36.2A$10.A.A38.A$11.A3.2A42.A$12.2A.A43.2A$13.A6.3A
37.2A$13.A5.2A.2A25.A9.2A$19.2A2.A24.2A.2A18.2A$21.2A24.A.4A18.A.A$
16.2A28.A.A24.A$15.A2.2A26.A2.A23.2A$15.2A.2A5.A21.2A$16.3A6.A$2.2A
19.A.2A$.A.A18.2A3.A$.A24.A.A$2A23.A2.A$26.2A!
x = 5, y = 5, rule = B3-y/S234w
2b3o$bo$o3bo$o2bo$obo!
wildmyron wrote:muzik wrote:How many different conditions does the range-1 Moore 3D isotropic non-totalistic rulespace have?
I believe the answer is 8548, given by the sequence A054247: Number of n X n binary matrices under action of dihedral group of the square D_4.
This includes birth and survival configurations, so the number of neighbourhood configurations is 4274.
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