Heights (B3678/S23-a678)

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Resu
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Heights (B3678/S23-a678)

Post by Resu »

Heights (B3678/S23-a678)
A relatively stable isotropic non-totalistic rule
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Heights (rulestring B3678/S23-a678) is a isotropic non-totalistic rule rulegolfed from Travelling Ts (B3/S23-a5). However, in this rule, the T is c/2 instead of c/4. It's about as active as Travelling Ts, but does not have 2x2 block evolution. It also has the f̶o̶u̶r̶t̶h̶ ̶t̶h̶i̶r̶d̶!̶ fourth (overtaken by leaplife) highest number of censuses for isotropic rules in catagolue. Toad-flippers work, and there's two very common p2 rotors, which I call the burster and the big burster. Weirdly, toads and blinkers can be attached together. ikpx2 would be useful.

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#C Weird P2
x = 32, y = 16, rule = B3678/S23-a678
10b3o11bo3bo$9b3obo6b3o2b2o2b2o$b3o5b2o2bo7b2o2b2o2b3o$ob2o5bo3b2o8bo
3bo$bobo6b3o$2bo9bo2$29b3o2$22bo6b3o$20bo2bo6bo$20bo2bo6bo$21bo8bo$20b
3o6b3o2$20b3o6b3o!
Patterns: Spaceships
Speeds: c/9o, c/2o, c/4d, c/5d, c/3o, c/4o, c/5o

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#C Speeds: c/9o, c/2o, c/4d, c/5d : Discovered by Resu
#C Speeds: c/3o, c/4o, c/5o : Discovered by hibiscus
#C More at https://catagolue.hatsya.com/census/b3678s23-a678/ikpx2_stdin
x = 27, y = 151, rule = B3678/S23-a678
b2obo$obob2o$6o$2bo2bo$3o2bo$b4o6$2o$obo$o$3bo$3b3o6$3o$o$bo6$3b2o$bo
bo$4o$4o$bobo$3b2o6$4bobo$2b4o2b2o$o3bo3bo$bo5bobo$o3bo3bo$2b4o2b2o$4b
obo6$3b2o$2b3o$6bo$b4obo$b2o$o3b3o$b2o$b4obo$6bo$2b3o$3b2o6$bo9b2o$b2o
2bo4bo4bo$obo2b2o3bo2bob5obo$b3o4bo4bo4bo3bo2b2o$3b2obo2b2o9bo4bo$4bo
4bo12bobobo$5bo$4bo4bo12bobobo$3b2obo2b2o9bo4bo$b3o4bo4bo4bo3bo2b2o$o
bo2b2o3bo2bob5obo$b2o2bo4bo4bo$bo9b2o6$3b3o$2bob2o$b3o2bo$5o$b3o2bo$2b
ob2o$3b3o6$o4bo$2obobobo$o5bo6$o$2obobo$o4bobo$6bo6$o4b2o$2ob2o$o4b2o
6$o$2obo$o4b2o$4bo$o4b2o$2obo$o6$o$2obobo$o4bo$6bobo$6bobo$o4bo$2obob
o$o6$o$2obo$o!
Patterns: Oscillators
Non-trivial & non-LCM periods: 2, 3, 4, 5, 7, 8, 10, 13, 15, 35, 44
Adjustable periods: 40+20n and 52+52n and 16+8n (See the section "Reactions: T") (WIP: Need to add the LCM oscillators)

Code: Select all

x = 51, y = 201, rule = B3678/S23-a678History
8.32D2$9.3D$8.D3.D$12.D$11.D6.3A$10.D$9.D$8.5D2$8.32D2$9.3D13.2A$8.D3.
D12.A$12.D10.A.A$9.3D11.2A$12.D7.2A$8.D3.D6.A.A$9.3D7.A$18.2A2$8.32D2$
10.2D$9.D.D7.A$8.D2.D6.A$8.5D6.A.A$11.D6.A$11.D7.A$11.D2$8.32D2$8.5D9.
A$8.D$8.D13.A$8.5D8.A.A$12.D5.A.A3.A.A$8.D3.D8.A.A$9.3D10.A2$22.A2$8.
32D2$8.5D9.A2.A$12.D10.2A$12.D8.A4.A$11.D7.3A.2A.3A$11.D6.A.A6.A.A$10.
D$10.D$18.A.A6.A.A$19.3A.2A.3A$21.A4.A$23.2A$22.A2.A2$8.32D2$9.3D10.A
$8.D3.D12.A$8.D3.D7.4A.3A$9.3D7.A.4A.A$8.D3.D5.3A.4A$8.D3.D7.A$9.3D11.
A2$2.49D2$4.D4.3D18.A$3.2D3.D3.D$2.D.D3.D3.D11.A3.A3.A$4.D3.D3.D15.A2.
A$4.D3.D3.D9.A3.A.A5.A$4.D3.D3.D10.A2.A2.A.A.A$2.5D2.3D8.A5.A9.A$21.A
.A.A5.A$18.A13.3A$23.A$20.3A11.3A$33.A$22.3A13.A$25.A5.A.A.A$20.A9.A5.
A$23.A.A.A2.A2.A$22.A5.A.A3.A$25.A2.A$24.A3.A3.A2$26.A2$2.49D2$4.D4.3D
12.A$3.2D3.D3.D$2.D.D7.D9.A.A.A$4.D4.3D10.A.A.A$4.D7.D11.A7.2A.A.2A$4.
D3.D3.D9.A.A.A$2.5D2.3D12.A4.A2.7A.A$22.A.A.A2.2A$22.A.A.A.A2.3A.A.2A
$26.A2.2A$25.A.4A.A$24.2A.2A.2A.2A$26.A.4A.A$28.2A2.A$20.2A.A.3A2.A.A
.A.A$28.2A2.A.A.A$18.A.7A2.A4.A$32.A.A.A$20.2A.A.2A7.A$32.A.A.A$32.A.
A.A2$34.A2$2.49D2$4.D3.5D21.A$3.2D3.D$2.D.D3.D25.A$4.D3.5D20.A.A$4.D7.
D17.A.A3.A.A$4.D3.D3.D20.A.A$2.5D2.3D22.A2$34.A4$22.A11.A11.A$33.3A$22.
A9.5A9.A$21.A.A7.7A7.A.A$18.A.A3.A.A3.9A3.A.A3.A.A$21.A.A7.7A7.A.A$22.
A9.5A9.A$33.3A$22.A11.A11.A4$34.A2$34.A$33.A.A$30.A.A3.A.A$33.A.A$34.
A2$34.A2$.49D2$2.3D2.5D15.A9.A$.D3.D.D$5.D.D19.A9.A$2.3D2.5D14.A.A7.A
.A$5.D5.D11.A.A3.A.A.A.A3.A.A$.D3.D.D3.D14.A.A7.A.A$2.3D3.3D10.A5.A9.
A5.A2$21.A5.A9.A5.A$20.A.A19.A.A$17.A.A3.A.A6.A6.A.A3.A.A$20.A.A8.3A8.
A.A$21.A9.A.A9.A$31.3A$21.A6.3A3.3A6.A$27.2A.A3.A.2A$21.A6.3A3.3A6.A$
31.3A$21.A9.A.A9.A$20.A.A8.3A8.A.A$17.A.A3.A.A6.A6.A.A3.A.A$20.A.A19.
A.A$21.A5.A9.A5.A2$21.A5.A9.A5.A$26.A.A7.A.A$23.A.A3.A.A.A.A3.A.A$26.
A.A7.A.A$27.A9.A2$27.A9.A2$49D2$2.2D4.2D13.A$.D.D3.D.D14.A$D2.D2.D2.D
12.3A.A$5D.5D11.A.A.A$3.D5.D11.A$3.D5.D7.A2.A.2A.A$3.D5.D11.A$22.A.A.
A$22.3A.A$24.A$23.A!
Patterns: Linear growth
The only known infinite growth pattern is this wickstrecher:

Code: Select all

x = 15, y = 16, rule = B3678/S23-a678
4b2ob2o$b2ob4o$ob7o$8o$ob7o$b2ob4o$4b2ob2o3$4b2obob2o$b2ob7ob2o$ob11o
bo$15o$ob11obo$b2ob7ob2o$4b2obob2o!
Patterns: Misc.
Random interesting patterns.

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#C Many spaceships from PK22
x = 45, y = 1006, rule = B3678/S23-a678
4b2o$4bobo$4bo$7bo$2o5b3o$obo4b3o$o$3bo$3b3o3b2o$7b2o2bo$8b2o$9b3o$11b
3o$11b3o$12b2o6$2o$obo$o$3bo$3b3o6$b2obo$obob2o$6o$2bo2bo$3o2bo$b4o6$
3o$o$bo6$3b3o$2bob2o$b3o2bo$5o$b3o2bo$2bob2o$3b3o6$6bo$3bo4bo$bo2b3ob
o$3bo4bo$6obob2o$3bo4bo$bo2b3obo$3bo4bo$6bo6$13bo$11bo10bo$10bob2obo6b
2o$9bo12bo$3b2o3b2o2b2o$2bobob2ob2o$b5o$b2ob2o3bo$3o3bobo$b2ob2o3bo$b
5o$2bobob2ob2o$3b2o3b2o2b2o$9bo$10bob2obo$11bo$13bo6$o2bo2bo$2o2bobo$
o3b4o$4b2o3b2o$3bobo3b2o$3bobo3bo$4b2o3bo$o3b4o$2o2bobo$o2bo2bo6$8bo$
8b2o2b4ob2o$9b10o$4bo2b2o2bo2b4o$2bo3bob5o$bob2o$obo$b2o$b2o$obo$bob2o
$2bo3bob5o$4bo2b2o2bo2b4o$9b10o$8b2o2b4ob2o$8bo6$12b2o$11b5o$10b3obo$
9b2o3b2o$8b2ob4o$b2o2b2o3bobob2o$3o2bo6b3o$b2o2b2o3bobob2o$8b2ob4o$9b
2o3b2o$10b3obo$11b5o$12b2o6$3b2o$2b3o$3b2o2b2o$7bo$7b2o$b2obo2b2o2b2o
$3ob2ob4o$b2obo2b2o2b2o$7b2o$7bo$3b2o2b2o$2b3o$3b2o5$9bobo$b2o2bob2ob
2o$3obo3b2o$b2obo5b2o$3bobo2b2obo$3bobobo$3bobo2b2obo$b2obo5b2o$3obo3b
2o$b2o2bob2ob2o$9bobo6$6bobobo$4b2ob3o$2b3obo3bo$bob3obo$bob3o$ob5obo
$bob3o$bob3obo$2b3obo3bo$4b2ob3o$6bobobo6$4bo3b2o2b2o$4b2ob3o2bo$4bo3b
2o2b2o2$o4b2o$2ob2o$o4b2o2$4bo3b2o2b2o$4b2ob3o2bo$4bo3b2o2b2o6$3b3o4b
2o$2bob2o2b2o$b3o2bo2b2o2bo7bo$5o3b3o4bo4bo$b3o2bo2b2o2b5ob2o$2bob2o2b
2o6bob2o2bo$3b3o4b2o4b3o2bobobo$17b2o2b3o$23bobo$25bo$25b2o$26b3obo$28b
2o$30bo6$13bobo$11b2ob2o$9bo2b2o$8bob4o$7b4o$6bo3bo$5bo2bo$5bo2bo$o4b
o$2obo$o6$b2o$3o2bobo$b2o2bo3bo$5b3o$7bobo$9bo$9bo$7bobo$5b3o$b2o2bo3b
o$3o2bobo$b2o6$b2o$3o2bobo$b2o2bo3bo$5b3o$7bobo$9bo$7bobo$5b3o$b2o2bo
3bo$3o2bobo$b2o6$o$2ob3o$o6bo$7bo$o6bo$2ob3o$o5$9bo$b2o2bo3b2o$3obo2b
o2bo2bo$b2obo3bo2bo$4bo2bobobo2bo$b2obo3bo2bo$3obo2bo2bo2bo$b2o2bo3b2o
$9bo5$6b2obo$o4bo3bob2o$2ob2obo$o4bo3bo$6b2obo$11b2o$11b2o$6b2obo$o4b
o3bo$2ob2obo$o4bo3bob2o$6b2obo5$13bo$o10b3o$2ob3o4b2o$o6bo3bo$7bobobo
2bo$o6bo3bo$2ob3o4b2o$o10b3o$13bo5$9bo$o6bobobo$2obo2b4o3bob2o$o4b4o2b
o2bo$4bob2obobo2bo$4b4o4bobo2bo$4b4o4bobo2bo$4bob2obobo2bo$o4b4o2bo2b
o$2obo2b4o3bob2o$o6bobobo$9bo5$9bo$o6bobobo$2obo2b4obo$o4b4o$4bob2obo
$4b4o$4b4o$4bob2obo$o4b4o$2obo2b4obo$o6bobobo$9bo6$8b2o$8bo$7bo$7bob2o
bo$2bob2o2bo3bob2o$bobo5b2o3bo3bo$o14b3o$o2bo12bob2o10bo$o2bo12bob2ob
o3bo2bo2bo$o14b3o3bobo2bobo2bo2b2o$bobo5b2o3bo3bo5bo3bobo2b3o6b2o$2bo
b2o2bo3bob2o9b3o2b3o2bo4b3obo$7bob2obo14bo3b2o3b2obo$7bo27b4o2b2o$8bo
27b2obo$8b2o30b3obo$42b2o6$bo9b2o$b2o2bo4bo4bo$obo2b2o3bo2bob5obo$b3o
4bo4bo4bo3bo2b2o$3b2obo2b2o9bo4bo$4bo4bo12bobobo$5bo$4bo4bo12bobobo$3b
2obo2b2o9bo4bo$b3o4bo4bo4bo3bo2b2o$obo2b2o3bo2bob5obo$b2o2bo4bo4bo$bo
9b2o6$5o$bo4b2o$b2obo$4b2ob2obo$7b3obo$7b3obo$4b2ob2obo$b2obo$bo4b2o$
5o6$3b2o$bobo$4o$4o$bobo$3b2o6$o4bo$2obobobo$o5bo6$o$2obobo$o4bobo$6b
o6$o4b2o$2ob2o$o4b2o6$o$2obo$o4b2o$4bo$o4b2o$2obo$o6$o$2obobo$o4bo$6b
obo$6bobo$o4bo$2obobo$o6$o$2obo$o5$4b2ob2o$b2ob4o$ob7o$8o$ob7o$b2ob4o
$4b2ob2o7$3o2$3o$bo$bo$bo$3o2$3o6$5bo2$3bo3bo$2b2obob2o$4bobo$o2bobob
o2bo$4bobo$2b2obob2o$3bo3bo2$5bo6$3bo$2bo$3bobo$2bo$3bo6$5bo$3bo3bo$2o
2b3o2b2o$b9o$11o$b9o$2o2b3o2b2o$3bo3bo$5bo6$5b2o$3bo4bo$2o2b4o2b2o$b10o
$12o$b10o$2o2b4o2b2o$3bo4bo$5b2o6$2o$obo$2b3o$2b2obo$2bobo$3bo6$3b2o$
bo4bo$2b4o$8o$8o$2b4o$bo4bo$3b2o6$bo7bo$o2bobobo2bo$bo3bo3bo$2o3bo3b2o
$bo3bo3bo$o2bobobo2bo$bo7bo6$5bo$3bo3bo$2o2b3o2b2o$b4ob4o$11o$b4ob4o$
11o$b4ob4o$11o$b4ob4o$2o2b3o2b2o$3bo3bo$5bo6$4bo2$4bo$3bobo$obo3bobo$
3bobo$4bo2$4bo6$6bo$7bo$5b3obo$5bobobo$4bo$o2bob2obo$4bo$5bobobo$5b3o
bo$7bo$6bo6$12bo2$12bo$11bobo$5b2o3bo3bobo$4bobobo2bobo$4b2o6bo2$5bo6b
o2$4bo$3bobo$obo3bobo$3bobo$4bo2$4bo6$4bo2bo$5b2o$3bo4bo$b3ob2ob3o$ob
o6bobo3$obo6bobo$b3ob2ob3o$3bo4bo$5b2o$4bo2bo6$7bo2bo$7bo2bo$3b2ob2o2b
2ob2o$2bo2b2o4b2o2bo$2bobobo4bobobo$3bobo6bobo$2b3o8b3o$3o12b3o3$3o12b
3o$2b3o8b3o$3bobo6bobo$2bobobo4bobobo$2bo2b2o4b2o2bo$3b2ob2o2b2ob2o$7b
o2bo$7bo2bo6$7b2o$2b3o2b2o2b3o$bob2o2b2o2b2obo$b2o4b2o4b2o$b2o4b2o4b2o
$7b2o2$6o4b6o$6o4b6o2$7b2o$b2o4b2o4b2o$b2o4b2o4b2o$bob2o2b2o2b2obo$2b
3o2b2o2b3o$7b2o6$4bo3bo$3o2b2o2b2o$b2o2b2o2b3o$3bo3bo6$bo$o2bo$o2bo$2b
o$b3o2$b3o6$12bo2$6bo3bo3bo$10bo2bo$4bo3bobo5bo$5bo2bo2bobobo$2bo5bo9b
o$3bobobo5bo$o13b3o$5bo$2b3o11b3o$15bo$4b3o13bo$7bo5bobobo$2bo9bo5bo$
5bobobo2bo2bo$4bo5bobo3bo$7bo2bo$6bo3bo3bo2$8bo6$5b2o$bo5bo$obob3o$ob
o$2bo3bo$6bobo$2b3obobo$bo5bo$2b2o6$7bo$6bobo$bo5bo$obo$bo2b3o$4b3o$4b
3o2bo$8bobo$3bo5bo$2bobo$3bo6$5bo$5bo$3bo$3b2ob3o$3bo3bo$2o7b2o$3bo3b
o$2b3ob2o$7bo$5bo$5bo6$5b2o$4bo$7bo$2b4obo$o6bobo$o2bo3bo2bo$bobo6bo$
3bob4o$3bo$6bo$4b2o6$6bo2$4bobobo$4bobobo$6bo7b2obob2o$4bobobo$6bo4bo
2b7obo$4bobobo2b2o$4bobobobo2b3obob2o$8bo2b2o$7bob4obo$6b2ob2ob2ob2o$
8bob4obo$10b2o2bo$2b2obob3o2bobobobo$10b2o2bobobo$ob7o2bo4bo$14bobobo
$2b2obob2o7bo$14bobobo$14bobobo2$16bo6$6bo$5bobo$5bobo$5bobo$5b3o$b5o
b5o$o3bo3bo3bo$b5ob5o$5b3o$5bobo$5bobo$5bobo$6bo6$6bo$5bobo$5b2obo$5b
3o$3bobo$b3o$ob2o$bobo$2bo6$2bobobo10bobobo$2b5o10b5o$3b3o12b3o$bob3o
bo8bob3obo$2b5o10b5o$ob5obo2b2o2bob5obo$ob5obobo4bob5obo$2b5o6bo3b5o$
bob3obo3b2o3bob3obo$3b3o12b3o$2b5o10b5o$2bobobo10bobobo6$2bobobo9bobo
bo$2b5o9b5o$3b3o11b3o$bob3obo7bob3obo$2b5o9b5o$ob5obo2bo2bob5obo$ob5o
bob3obob5obo$2b5o9b5o$bob3obo7bob3obo$3b3o11b3o$2b5o9b5o$2bobobo9bobo
bo6$8b2o$3bo3bobo$2bobobobo$bobob2o$2bo3bo$3bo$2b3o$bo$obo$2o6$2b2ob2o
b2o$bo2b4o2bo$ob8obo$obo6bobo$b2o2b2o2b2o$3obo2bob3o$3obo2bob3o$b2o2b
2o2b2o$obo6bobo$ob8obo$bo2b4o2bo$2b2ob2ob2o6$5b2o4b2o$4bo2bo2bo2bo$5b
obo2bobo$4bo2bo2bo2bo$bob2obo4bob2obo$obo12bobo$o3bo8bo3bo$b3o10b3o3$
b3o10b3o$o3bo8bo3bo$obo12bobo$bob2obo4bob2obo$4bo2bo2bo2bo$5bobo2bobo
$4bo2bo2bo2bo$5b2o4b2o6$5b2o$4bobo$3bo$2b2o$bo2bo$o$2o!
Patterns: LCM parts
For making LCMs: P3, 4, 5, 10, 13, 44.

Code: Select all

x = 53, y = 155, rule = B3678/S23-a678History
.3D$D3.D$4.D$.3D$4.D$D3.D$.3D2$8.2A3.A2.A.A$6.A4.A.A2.2A$8.A4.A4.A.A$
2.3A.5A7.A.A$6.A9.A$2.A.A7.5A.3A$2.A.A4.A4.A$D4.2A2.A.A4.A$4.A.A2.A3.
2A6$2.D4.3D$.2D3.D3.D$D.D7.D$2.D4.3D$2.D7.D$2.D3.D3.D$5D2.3D2$8.A27.A
2$6.A.A.A23.A.A.A12.D$6.A.A.A23.A.A.A$8.A7.2A.A.2A13.A7.2A.A.2A$6.A.A
.A23.A.A.A$8.A4.A2.7A.A11.A4.A2.7A.A$6.A.A.A2.2A19.A.A.A2.2A$6.A.A.A.
A2.3A.A.2A11.A.A.A.A2.3A.A.2A$10.A2.2A23.A2.2A$9.A.4A.A20.A.4A.A$8.2A
.2A.2A.2A17.2A.2A.2A.2A$10.A.4A.A20.A.4A.A$12.2A2.A23.2A2.A$4.2A.A.3A
2.A.A.A.A11.2A.A.3A2.A.A.A.A$12.2A2.A.A.A19.2A2.A.A.A$D.A.7A2.A4.A11.
A.7A2.A4.A$D15.A.A.A23.A.A.A$4.2A.A.2A7.A13.2A.A.2A7.A$16.A.A.A23.A.A
.A$16.A.A.A23.A.A.A2$18.A27.A6$2.2D$.D.D$D2.D$5D$3.D$3.D$3.D2$4.A.A.A
8.A$4.5A7.A4.D$5.3A9.A.A$3.A.3A.A7.A.A.D$4.5A7.A$D.A.5A.A6.A$2.A.5A.A
$4.5A$3.A.3A.A$5.3A$4.5A$4.A.A.A4$2.D4.3D$.2D3.D3.D$D.D3.D3.D$2.D3.D3.
D$2.D3.D3.D$2.D3.D3.D$5D2.3D2$12.A$4.D$4.D.A3.A3.A$10.A2.A$4.A3.A.A5.
A$5.A2.A2.A.A.A$2.A5.A9.A$3.A.A.A5.A$A13.3A$5.A$2.3A11.3A$15.A$4.3A13.
A$7.A5.A.A.A$2.A9.A5.A$5.A.A.A2.A2.A$4.A5.A.A3.A$7.A2.A$6.A3.A3.A2$8.
A6$5D$D$D$5D$4.D$D3.D$.3D2$6.A2$6.A$5.A.A$2.A.A3.A.A.D$D4.A.A4.D$D5.A
2$6.A6$2.2D4.2D$.D.D3.D.D$D2.D2.D2.D$5D.5D$3.D5.D$3.D5.D$3.D5.D4$6.2A
$5.3A2.2A$6.A.A$6.2A.2A.A$6.A.A$5.3A2.2A$6.2A$12.D!
This could possibly be used:

Code: Select all

x = 8, y = 21, rule = B3678/S23-a678
3b2o$bo4bo$2b4o$8o$8o$2b4o$bo4bo$3b2o2$5bo$bobobo$5bo2$3b2o$bo4bo$2b4o
$8o$8o$2b4o$bo4bo$3b2o!
Reactions: T

Code: Select all

#C Many OTTs and sparker that can eat Ts not shown
#C Also, thanks to LuveelVoom for the xs12 synthesis!
#C Thanks to R2INT for the splitter and the synth catalogue of Ts
#C Everything else by me, Resu
x = 443, y = 227, rule = B3678/S23-a678
130bo$130b2o$129bo2bo$131b3o$128b2o2bo4bo6bo6bo6bo6bo6bo6bo6bo6bo$128b
o3bo2bob2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o46bo26bo29bo28bo27bo28bo26b
o27bo$128b2o2bo4bo6bo6bo6bo6bo6bo6bo6bo6bo47b2obo23b2obo26b2obo25b2ob
o24b2obo25b2obo23b2obo24b2obo$131b3o107bo26bo29bo28bo27bo28bo26bo27bo
$129bo2bo$130b2o$130bo$235b3o23b3o26b3o25b3o24b3o25b3o23b3o24b3o$236b
o25bo28bo27bo26bo27bo25bo26bo2$236bo25bo28bo27bo26bo27bo25bo26bo10$140b
o7bo15bo76b2o25b2o28b2o27b2o26b2o27b2o25b2o26b2o$140b2o6b2o13b3o74b3o
24b3o27b3o26b3o25b3o26b3o24b3o25b3o$140bo7bo92b2o25b2o28b2o27b2o26b2o
27b2o25b2o26b2o$136bo$135bobo$134bobo37bo$134bo39b2obo57b3o23b3o26b3o
25b3o24b3o25b3o23b3o24b3o$133b2o39bo61bo25bo28bo27bo26bo27bo25bo26bo2$
236bo25bo28bo27bo26bo27bo25bo26bo4$140bo$140b2o$140bo$136bo$135bobo$134b
obo$133bobo21bo$133bo22b3o$132b2o2$171bo$171bo$170b3o2$133b2o$132bobo
$133bo4bo$138b2o$138bo$161bo$160b3o$160b3o3$144bo2$138bo3bo3bo$142bo2b
o$136bo3bobo5bo$137bo2bo2bobobo43bo$134bo5bo9bo25bo$135bobobo5bo43bo3b
o$132bo13b3o25bo3bo9b2obob2o$137bo35b2obob2o10bobo$134b3o11b3o24bobo6b
obo2bobobo2bo$147bo23bo2bobobo2bob2o5bobo$136b3o13bo6bo15bobo6bo3b2ob
ob2o57bo21bo21bo21bo20bo$139bo5bobobo9b2o12b2obob2o9bo3bo177bo52bo$134b
o9bo5bo8bo14bo3bo73bo21bo21bo21bo20bo28bob2o9bo42b2obo$137bobobo2bo2b
o43bo59b3o19b3o19b3o19b3o18b3o30bo9b2obo39bo$136bo5bobo3bo27bo204bo$139b
o2bo$138bo3bo3bo$415b3o$140bo234b3o38bo$251b3o18b3o18b3o18b3o17b3o39b
o$252bo20bo20bo20bo19bo80bo$376bo$252bo20bo20bo20bo19bo82bo$417b3o$138b
o278b3o2$136bobobo$136bobobo$138bo7b2obob2o$136bobobo$138bo4bo2b7obo14b
o$136bobobo2b2o24b2o$136bobobobo2b3obob2o16bo$140bo2b2o106b3o19b3o19b
3o19b3o18b3o83bo$139bob4obo104b3o19b3o19b3o19b3o18b3o83b2obo$138b2ob2o
b2ob2o103bo21bo21bo21bo20bo84bo$140bob4obo$142b2o2bo$134b2obob3o2bobo
bobo$142b2o2bobobo215b2o47b3o$132bob7o2bo4bo102b3o18b3o18b3o18b3o17b3o
29b3o47bo$146bobobo101bo20bo20bo20bo19bo30b2o12bo$134b2obob2o7bo231b2o
bo32bo4bo$146bobobo101bo20bo20bo20bo19bo44bo39b3o$146bobobo269b3o2$148b
o$374b3o$375bo2$375bo3$252bo21bo21bo21bo20bo2$252bo21bo21bo21bo20bo$140b
o110b3o19b3o19b3o19b3o18b3o$137bob2o28bo$140bo17b3o8b2o$160bo8bo236b3o
$163bo242b3o$161bobo87b3o18b3o18b3o18b3o17b3o70bo$162b2o88bo20bo20bo20b
o19bo2$140bo111bo20bo20bo20bo19bo$137bob2o$140bo2$146b2o241bo$146bobo
237bob2o$148bo240bo12b3o$148b2o253bo2$403bo4$138bo2$138bo$137b3o5$151b
o$151b2obo$24bo126bo$24b2o$24bo4$145bo$138bo$139bo5bo$137b3o4b3o3$2b3o
$b3o2bo$3o4bo$2ob2o$o2bobo2bo$4bo129b3o109bo$bo134bo8bo99bobo$2bo136b
o105b2obo$4bo132bobo5bo102bo$138b2o4b3o101b2o2$254bo$254b2obo$254bo13$
97bo$95b2ob2o$93bob2ob2obo$92b2obo3bob2o$92b2obobobob2o$97bo$94b2obob
2o7$98b3o$99bo5$97b3o$98bo5$96b3o$97bo5$95b3o$96bo5$94b3o$95bo!
Reactions: Glider

Code: Select all

#C Again, many glider-eating oscillators not shown
#C Right synths by PK22, more at https://catagolue.hatsya.com/census/b3678s23-a678/5Glider_stdin
x = 321, y = 50, rule = B3678/S23-a678
223bo11bo38bo16bo28bo$223bobo10bo35bobo6bobo8bo25b2o$223b2o9b3o36b2o6b
2o7b3o26b2o$282bo5$237bo$235bobo$226b2o8b2o26bobo$226bobo35b2o9bo$213b
2o11bo38bo9b2o$214b2o58bobo$213bo2$140b2obo$139bobob2o$139b6o$141bo2b
o$139b3o2bo$140b4o2$148b3o$148bo141b2o$149bo139bobo$291bo$153b3o$153b
o$154bo2$158b3o$158bo$121b2o36bo$121bo$119bobo41b3o$119b2o42bo$164bo$
14bo15bo22bo9bo12bo11bo14bo$13bo16bobo19bo9bo12bo11bo14bobo9b3o51b3o$
13b3o14b2o20b3o7b3o10b3o9b3o13bo12bo51bo$115bo53bo$3o18b3o$2bo20bo42b
3o104b3o$5bo20bo39bo29b3o74bo$3bobo18bobo40bo30bo75bo$4b2o19b2o12b3o37b
o10bo6bo$41bo36b2o9b2o87b3o$40bo37bobo8bobo86bo$179bo!
---------------------------------------------------------------
That seems to be all I found.
I tried to make this post look nice.
Contact me if there's something missing.
Rule by Resu, 2025 - Forum Search
Last edited by Resu on August 28th, 2026, 7:25 am, edited 18 times in total.

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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hibiscus
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Re: Heights (B3678/S23-a678)

Post by hibiscus »

c/3o

Code: Select all

x = 13, y = 27, rule = B3678/S23-a678
2bo7bo$2obo5bob2o$b3o5b3o$3b2o3b2o$4b2ob2o$b2o3bo3b2o$2bobo3bob
o2$3bo5bo$4b2ob2o$b2obo3bob2o$o11bo$o11bo$2b2o5b2o2$b2o7b2o$2bo7b
o$2bo7bo$2b2o5b2o$2bo7bo$4bo3bo$2bo7bo$3bobobobo2$5bobo$3b2o3b2o
$3bobobobo!
c/4o

Code: Select all

x = 11, y = 7, rule = B3678/S23-a678
5bo$3b2ob2o$bob2ob2obo$2obo3bob2o$2obobobob2o$5bo$2b2obob2o!
c/5o

Code: Select all

x = 7, y = 10, rule = B3678/S23-a678
2bobo$3bo$bo3bo$bo3bo$3ob3o$bo3bo$o5bo$3bo$b2ob2o$bobobo!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
A WORLD OF CELLULAR AUTOMATA
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Resu
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Re: Heights (B3678/S23-a678)

Post by Resu »

hibiscus wrote: July 21st, 2025, 3:01 pm c/4o

Code: Select all

x = 11, y = 7, rule = B3678/S23-a678
5bo$3b2ob2o$bob2ob2obo$2obo3bob2o$2obobobob2o$5bo$2b2obob2o!
The dot spark can eat Ts:
  • Code: Select all

    x = 11, y = 39, rule = B3678/S23-a678
    5bo$3b2ob2o$bob2ob2obo$2obo3bob2o$2obobobob2o$5bo$2b2obob2o7$6b3o$7bo
    5$5b3o$6bo5$4b3o$5bo5$3b3o$4bo5$2b3o$3bo!
    
Edit: Sparker stack:

Code: Select all

x = 67, y = 11, rule = B3678/S23-a678
2bo$2b2o$bo2bo$3b3o$2o2bo4bo6bo6bo6bo6bo6bo6bo6bo6bo$o3bo2bob2o5b2o5b
2o5b2o5b2o5b2o5b2o5b2o5b2o$2o2bo4bo6bo6bo6bo6bo6bo6bo6bo6bo$3b3o$bo2b
o$2b2o$2bo!
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ThePlayzr
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Re: Heights (B3678/S23-a678)

Post by ThePlayzr »

This rule is closer to stains than Travelling Ts, it just has S5 and S3a removed from stains.
Please visit my rules (found on my wiki page) and contribute!
User:ThePlayzr
I have LLS and qfind.
I manage the Travelling Ts pattern collection. It can be found on the first post in the thread.
B3/S23-a5 IS OMNIPERIODIC!!!!!
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Re: Heights (B3678/S23-a678)

Post by Resu »

ThePlayzr wrote: July 24th, 2025, 4:00 am This rule is closer to stains than Travelling Ts, it just has S5 and S3a removed from stains.
It was rulegolfed from Travelling Ts though.
2 c/9 spaceships to 4 Ts.

Code: Select all

x = 9, y = 17, rule = B3678/S23-a678
3bo4bo$3b6o$5b2o$4b4o$5b2o8$2b2o$b4o$2b2o$6o$o4bo!
Edit: Cool T hassler:

Code: Select all

x = 12, y = 23, rule = B3678/S23-a678
5b2o$3bo4bo$2o2b4o2b2o$b10o$12o$b10o$2o2b4o2b2o$3bo4bo$5b2o2$5bo$5b2o
$5bo2$5b2o$3bo4bo$2o2b4o2b2o$b10o$12o$b10o$2o2b4o2b2o$3bo4bo$5b2o!
Edit 2:
Wait no, reduced: (p8)

Code: Select all

x = 8, y = 21, rule = B3678/S23-a678
3b2o$bo4bo$2b4o$8o$8o$2b4o$bo4bo$3b2o2$3bo$3b2o$3bo2$3b2o$bo4bo$2b4o$
8o$8o$2b4o$bo4bo$3b2o!
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R2INT
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Re: Heights (B3678/S23-a678)

Post by R2INT »

Here are all of the 2T syntheses, including five 3T syntheses of the glider:

Code: Select all

x = 208, y = 132, rule = B3678/S23-a678
6bo26bo29bo28bo27bo28bo26bo27bo$6b2obo23b2obo26b2obo25b2obo24b2obo25b
2obo23b2obo24b2obo$6bo26bo29bo28bo27bo28bo26bo27bo4$3o23b3o26b3o25b3o
24b3o25b3o23b3o24b3o$bo25bo28bo27bo26bo27bo25bo26bo2$bo25bo28bo27bo26b
o27bo25bo26bo10$6b2o25b2o28b2o27b2o26b2o27b2o25b2o26b2o$5b3o24b3o27b3o
26b3o25b3o26b3o24b3o25b3o$6b2o25b2o28b2o27b2o26b2o27b2o25b2o26b2o4$3o
23b3o26b3o25b3o24b3o25b3o23b3o24b3o$bo25bo28bo27bo26bo27bo25bo26bo2$b
o25bo28bo27bo26bo27bo25bo26bo40$17bo21bo21bo21bo20bo$136bo52bo$17bo21b
o21bo21bo20bo28bob2o9bo42b2obo$16b3o19b3o19b3o19b3o18b3o30bo9b2obo39b
o$146bo3$180b3o$140b3o38bo$16b3o18b3o18b3o18b3o17b3o39bo$17bo20bo20bo
20bo19bo80bo$141bo$17bo20bo20bo20bo19bo82bo$182b3o$182b3o9$16b3o19b3o
19b3o19b3o18b3o83bo$16b3o19b3o19b3o19b3o18b3o83b2obo$17bo21bo21bo21bo
20bo84bo4$131b2o47b3o$16b3o18b3o18b3o18b3o17b3o29b3o47bo$17bo20bo20bo
20bo19bo30b2o12bo$145b2obo32bo4bo$17bo20bo20bo20bo19bo44bo39b3o$185b3o
3$139b3o$140bo2$140bo3$17bo21bo21bo21bo20bo2$17bo21bo21bo21bo20bo$16b
3o19b3o19b3o19b3o18b3o3$171b3o$171b3o$16b3o18b3o18b3o18b3o17b3o70bo$17b
o20bo20bo20bo19bo2$17bo20bo20bo20bo19bo4$154bo$151bob2o$154bo12b3o$168b
o2$168bo!
T is about 2-3 times as common as the glider.

One-time splitter for the T:

Code: Select all

x = 13, y = 9, rule = B3678/S23-a678
bo$obo$2obo$3bo$3b2o2$9bo$9b2obo$9bo!
Range-2 INT
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Re: Heights (B3678/S23-a678)

Post by ThePlayzr »

The teardrop makes a beehive at beehive, which makes them quite common in this rule.

Code: Select all

x = 4, y = 4, rule = B3678/S23-a678
3o$o2bo$o2bo$b2o!
The only objects that make up at least 1% of objects are the tub, boat, blinker, xp4_577, pre-traffic light p5, T, and the glider. Basically, this rule is not very diverse in random objects.
Please visit my rules (found on my wiki page) and contribute!
User:ThePlayzr
I have LLS and qfind.
I manage the Travelling Ts pattern collection. It can be found on the first post in the thread.
B3/S23-a5 IS OMNIPERIODIC!!!!!
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Re: Heights (B3678/S23-a678)

Post by R2INT »

Here is a p132 LCM oscillator made up of a natural p44 and a p3 found with rlifesrc:

Code: Select all

x = 31, y = 12, rule = B3678/S23-a678
22bo3bo$17b3o3b2obob2o$13bob2obobobo5bo$3bo9bob2ob2o7bo$obob3o5bobobo
b2o3b2obobobo$3bo2b2o7bo7b2ob2obo$2bo5bo5bo5bobobob2obo$4b3ob2o3b2obo
b2o3b3o$2bo5bo7bo3bo$3bo2b2o$obob3o$3bo!
Remaining periods: 9, 11-12, 14, 16-43, 45-131, 133+ (sourced from the Catagolue oscillators page)
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Re: Heights (B3678/S23-a678)

Post by Resu »

R2INT wrote: July 25th, 2025, 10:35 pm Here is a p132 LCM oscillator made up of a natural p44 and a p3 found with rlifesrc:

Code: Select all

x = 31, y = 12, rule = B3678/S23-a678
22bo3bo$17b3o3b2obob2o$13bob2obobobo5bo$3bo9bob2ob2o7bo$obob3o5bobobo
b2o3b2obobobo$3bo2b2o7bo7b2ob2obo$2bo5bo5bo5bobobob2obo$4b3ob2o3b2obo
b2o3b3o$2bo5bo7bo3bo$3bo2b2o$obob3o$3bo!
Remaining periods: 9, 11-12, 14, 16-43, 45-131, 133+ (sourced from the Catagolue oscillators page)
There's also the 40+20n and 52+52n and 16+8n adjustable oscillators.
R2INT wrote: July 25th, 2025, 5:23 pm Here are all of the 2T syntheses, including five 3T syntheses of the glider:
How did you find the 3T syntheses?
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Re: Heights (B3678/S23-a678)

Post by Resu »

Unrelated:
P220:

Code: Select all

x = 33, y = 22, rule = B3678/S23-a678History
6.2B$4.6B14.A$3.8B12.3B$2.4B3A3B6.A3.A3BA$.4BAB3A3B4.3B2.A2BA2B$6BA2B
A4B2.A3BABA5BA$.4BAB3A4B.2BA2BA2BABABA2B$2.4B3A3B2.A5BA2.7BA$3.9B.2BA
BABAB2.2BA4B$4.6B2.A7B5.B3A$6.2B5.4BA2B7.2B$14.3AB9.B3A$16.2B7.2BA4B$
16.3AB5.7BA$15.4BA2B2.BABABA2B$14.A7B2.A5BA$15.2BABABA2BA2BA2B$16.A5B
ABA3BA$17.2BA2BA2.3B$18.A3BA3.A$19.3B$20.A!
Reflector p4:

Code: Select all

x = 26, y = 12, rule = B3678/S23-a678
20bo$5bo$18bo3bo$3bo3bo9b2obob2o$2b2obob2o10bobo$4bobo6bobo2bobobo2bo
$o2bobobo2bob2o5bobo$4bobo6bo3b2obob2o$2b2obob2o9bo3bo$3bo3bo$20bo$5b
o!
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Re: Heights (B3678/S23-a678)

Post by R2INT »

Resu wrote: July 26th, 2025, 1:39 am [...]
How did you find the 3T syntheses?
I found the 3T syntheses through manual search. I made them to satisfy different conditions depending on the use case.
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Re: Heights (B3678/S23-a678)

Post by Resu »

Sparker-wick:

Code: Select all

x = 56, y = 26, rule = B3678/S23-a678
3bo7bo7bo7bo7bo7bo7bo$6bobo5bobo5bobo5bobo5bobo5bobo$bobobobobobobobo
bobobobobobobobobobobobobobobobobobobo$2bobo5bobo5bobo5bobo5bobo5bobo
5bobo$7bo7bo7bo7bo7bo7bo17$2b2o7bo7bo8b2o7bo7bo7bo$6bobo5bobo5bo2bo6b
obo5bobo5bobo$ob2obobobobobobobobobob2obob2obobobobobobobobobobobobob
o$bo2bo5bobo5bobo6bo2bo5bobo5bobo5bobo$7bo7bo7b2o8bo7bo7bo!
Period-4.

P130:

Code: Select all

x = 34, y = 41, rule = B3678/S23-a678History
25.B$24.3B$19.B3.B3AB$19.2B2.A3BAB$17.B3A2BABA2BAB$16.BA3BABA2BA2BAB$
15.BA2BABA2.A2BABA2B$14.BA2BA2BA2.BA3BAB$13.2BABA2BA5.3AB$14.BA3BAB7.
2B$15.B3A9.3AB$17.2B7.BA3BAB$17.B3A5.A2BABA2B$16.BA3BAB2.A2BA2BAB$15.
2BABA2BA2.ABA2BAB$16.BA2BA2BABA3BAB$17.BA2BABA2B3AB$18.BA3BA2.3B$6.B12.
B3AB3.B$5.3B12.3B$4.2BA2B8.B3.B$4.5B7.3B.B$3.2B3A2B4.7B$2.3B3A3B2.3B3A
3B$3.2B3A2B.5B3ABA2B$4.3BABA3B.5A3B$4.3B2A.AB3A6B$5.2B.2A3BA.A3B$6.2B
AB3ABAB.B$6.4BABA4B$5.B.BAB3ABA2B$4.3BA.A3B2A.2B$2.6B3ABA.2A3B$.3B5A.
3BABA3B$2BAB3A5B.2B3A2B$.3B3A3B2.3B3A3B$2.7B4.2B3A2B$4.3B7.5B$5.B8.2B
A2B$15.3B$16.B!
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Resu
Posts: 828
Joined: May 23rd, 2025, 10:47 am
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Re: Heights (B3678/S23-a678)

Post by Resu »

Update: PK22 has ran ikpx2 on this rule:
ikpx2_stdin
Thanks, PK22!
There's lots of cool spaceships.

Code: Select all

#C e.g. This one
x = 16, y = 40, rule = B3678/S23-a678
6b4o$5bo4bo$4bo6bo$5bob2obo$4bo6bo$4bo6bo2$2b2o8b2o$2o2bo6bo2b2o$o2bo
bo4bobo2bo$3bobo4bobo2$3b2o6b2o2$4b2o4b2o$4bo6bo$4bo6bo$2b3o6b3o$b2o10b
2o$2o2bo6bo2b2o$2bobobo2bobobo$2bo2bo4bo2bo$4b2o4b2o$2obo8bob2o$3bo8b
o$3bo8bo$3bo8bo2$4b2o4b2o2$5bo4bo$5bo4bo$3bo2bo2bo2bo$3bo8bo$5bob2obo
$6b4o$7b2o$6bo2bo$6bo2bo$6bo2bo!
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hibiscus
Posts: 461
Joined: August 26th, 2023, 3:30 am

Re: Heights (B3678/S23-a678)

Post by hibiscus »

p67 oscillator:

Code: Select all

x = 28, y = 28, rule = B3678/S23-a678
6bobo10bobo$5bob2o10b2obo$8bo10bo3$bo24bo$o26bo$bo24bo$3o22b3o11$3o22b
3o$bo24bo$o26bo$bo24bo3$8bo10bo$5bob2o10b2obo$6bobo10bobo!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
A WORLD OF CELLULAR AUTOMATA
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