Dance (B34/S35)

[danieldb]

This rule has a lot of oscillators, and soups tend to explode. All oscillators are even period, and the only known still life is the block:

Code: Select all

x = 148, y = 19, rule = B34/S35
bo4bo3b3o2b3o5bo5bo6bo5bo5b2o3b2o4bo2bo2bo2b2o2b2o2bo4b3o5bo14bo8bo8b
3o5bo4bo5bo4bo$3o18b3o3b3o4b3o5bobo4b2o2b4o2b4o2b12o3bo3bo17b2ob2o4bob
o17b2o3b2o3b2o3b2o$5b3o3bo4bo5b3o3b3o4b3o2bo3bo10b2o3b2o4b2o2b2o2b2o4b
o3bo3b3o3b4o5bobo9bo4bobobobo3bo4bo4bo4bo$11bo5bo4bo5b3o11bobo35bo3bo
4b3o4b4o3bobo3b2o9bo5bo4b2o3b2o3b2o3b2o$29b3o10bo38b3o31b2o3bobobobo3b
o4bo4bo4bo$10b3o3b3o10bo60bo19bo25b2o8b2o$112bobo7b3o10bo9bo$112bo23b
2o8b2o$135bo9bo$136b2o8b2o$135bo9bo$136b2o8b2o$135bo9bo$136b2o8b2o$
135bo9bo$136b2o8b2o$135bo9bo$136b2o8b2o$135bo9bo!

[Alexey_Nigin]

Pi heptomino is a p8:

Code: Select all

x = 3, y = 3, rule = B34/S35
3o$obo$obo!

And there are at least 6 spaceships in this rule:

http://fano.ics.uci.edu/ca/rules/b34s35/

[velcrorex]

Other sill life are possible:

Code: Select all

x = 39, y = 44, rule = B34/S35
b2ob2o22b2obob2o$ob3obo20bob5obo$2obobobo18bobobobobobo$b3o2b2o17bob3o
bob3obo$2o2b3o17bob2ob5ob3o$obobob2o16b2ob3o3b2obo$bob3obo17b2obob2ob
2ob2o$2b2ob2o17b2ob2obob2obo2bo$24bob2o2bob2obob2o$25bob3ob2ob2obo$26b
2obob2o3b3o$30bob5obo$6b2obob2o18b2obob2o$5bob5obo$5b3o3b2obo$6bob3ob
2obo$5b2obo2bob2obo$6bobob3ob3o$5b3ob3obobo$5bob2obo2bob2o$6bob2ob3obo
$7bob2o3b3o$8bob5obo$9b2obob2o6$b2obob2o9b2obobobobobobob2o$ob5obo7bob
15obo$3o3b2obo5bobobobobobobobobob2o$bob4ob2o4bob4ob2ob2ob3ob3o$2obo4b
4obob2obo2bob2o2bo2bo2b2o$bobob3obob3ob2ob2obob2ob7obo$3ob2o2bob2o2bob
5obob2o7bo$ob3obobob2ob3obo2b4ob2ob5o$bobobob2ob2obob2ob3o4b4o2bo$2bob
3obob2o2bob2o4b4o2b2ob2o$3b2ob4ob5ob6o4bobobo$8b2ob2ob2ob2o2b2ob4o2b3o
$8bob2o3b2obo2bob2o3b3obo$9bob5obo4bob3obob2o$10b2obob2o6b2ob2o!

EDIT:
period 3 and 5 oscillators:

Code: Select all

x = 17, y = 28, rule = B34/S35
5b4o$5b4o$4bo4bo$2b2o2b2o2b2o$2b2obo2bob2o$2b2obo2bob2o$2b2o2b2o2b2o$
4bo4bo$5b4o$5b4o7$7bobo$5b2obob2o$5bo5bo$2b3o2bobo2b3o$2b4o5b4o$2o2b2o
5b2o2b2o$2o2b2o5b2o2b2o$2b4o5b4o$2b3o2bobo2b3o$5bo5bo$5b2obob2o$7bobo!

[danieldb]

Pi heptomino is a p8:

Code: Select all

x = 3, y = 3, rule = B34/S35
3o$obo$obo!

And there are at least 6 spaceships in this rule:

http://fano.ics.uci.edu/ca/rules/b34s35/

1. I listed the pi heptomino
2. I never though to check there! Thanks!

Code: Select all

x = 85, y = 21, rule = B34/S35
78b3o$79bob2o$52b5o21b2o2b2o$52b2ob2o18b4ob2obo$50bo7bo14bobobo2b2o2bo
$49b4o3b4o13bo2b2o4b3o$50bo3bo3bo18bo3b2obo$50b2o2bo2b2o12bo3b2ob4o$
54bo16bobobobobobo$48b3obobobob3o8bo3bo2b2o2b2o$33b3o4b3o7bo7bo10bobob
o$33b3o4b3o5b3o7b3o9b7o2b2o$33bo3b2o3bo6b2o7b2o9b3obo$35b2o2b2o7bo11bo
8bo2b3ob2o$14b3o19bo2bo9b3o5b3o5b3o4b2o$14b3o6b3o9b2o2b2o7b3obobobob3o
6bo3b2ob2o$2o2b2o7bo2bo4b2obob2o7b2o2b2o7bobo2b3o2bobo3bo2bo$6o5b2o7b
2o2bo2b2o4bobo4bobo5bo11bo4bo2b3o$bo2bo5b2obobo5b3ob3o4b3obo2bob3o3bo
3bo5bo3bo8bo$2o2b2o3bo5bo4b2o5b2o4b2o6b2o7b2o2bo2b2o8bo2bo$2b2o9bobo5b
o5bo7bo4bo8b2o7b2o8bo!

2nd one from the right has a potentially useful spark. Anyone find any tagalongs?

[danieldb]

Two fuses:

Code: Select all

x = 57, y = 50, rule = B34/S35
2o6bo$b2o5b2o$2b2o5b2o$3b2o5b2o$4b2o5b2o$5b2o5b2o$6b2o5b2o$7b2o5b2o$8b
2o5b2o$9b2o5b2o$10b2o5b2o$11b2o5b2o$12b2o5b2o$13b2o5b2o$14b2o5b2o$15b
2o5b2o$16b2o5b2o$17b2o5b2o$18b2o5b2o$19b2o5b2o$20b2o5b2o$21b2o5b2o$22b
2o5b2o$23b2o5b2o$24b2o5b2o$25b2o5b2o$26b2o5b2o$27b2o5b2o$28b2o5b2o$29b
2o5b2o$30b2o5b2o$31b2o5b2o$32b2o5b2o$33b2o5b2o$34b2o5b2o$35b2o5b2o$36b
2o5b2o$37b2o5b2o$38b2o5b2o$39b2o5b2o$40b2o5b2o$41b2o5b2o$42b2o5b2o$43b
2o5b2o$44b2o5b2o$45b2o5b2o$46b2o5b2o$47b2o5b2o$48b2o5b2o$49bo6bo!

[velcrorex]

Small 2c/6 ship, p18 and p10 oscillators:

Code: Select all

x = 54, y = 23, rule = B34/S35
4$3bo$4b2o$2b3o$3b3o32bo$3b3o31b3o$3b3o14bobo12b2obob2o$21b2o12bobobob
o$23b2o9bobo3bobo$24bo8b3o5b3o$34bobo3bobo$16bo18bobobobo$16b2o17b2obo
b2o$18b2o17b3o$18bobo17bo!

[danieldb]

Small 2c/6 ship, p18 and p10 oscillators:

Code: Select all

x = 54, y = 23, rule = B34/S35
4$3bo$4b2o$2b3o$3b3o32bo$3b3o31b3o$3b3o14bobo12b2obob2o$21b2o12bobobob
o$23b2o9bobo3bobo$24bo8b3o5b3o$34bobo3bobo$16bo18bobobobo$16b2o17b2obo
b2o$18b2o17b3o$18bobo17bo!

Is there a program for finding this stuff?

[danieldb]

3 of the glider syntheseses... synthesi... whatever:

Code: Select all

x = 60, y = 10, rule = B34/S35
bo21bobo13bobo$2b2o6bo10bobob2o10bobob2o$3o6b2o14bo15bo$b3o4b2o4bo6b3o
13b3o$b3o5b2obo9b2o5bo8b2o5bo8b3obo$b3o6b2obo14b3o13b3o7b5o$54b4obo$
26b2ob2o11b2ob2o10bo$26b2o14b2o$27bobo13bobo!

[velcrorex]

Small 2c/6 ship, p18 and p10 oscillators:

Code: Select all

x = 54, y = 23, rule = B34/S35
4$3bo$4b2o$2b3o$3b3o32bo$3b3o31b3o$3b3o14bobo12b2obob2o$21b2o12bobobob
o$23b2o9bobo3bobo$24bo8b3o5b3o$34bobo3bobo$16bo18bobobobo$16b2o17b2obo
b2o$18b2o17b3o$18bobo17bo!

Is there a program for finding this stuff?

Those 3 were found with gsearch. Basically, it tries small random patterns and sees what happens.
http://www.ics.uci.edu/~eppstein/ca/gsearch.c

[velcrorex]

c/5 diagonal, c/4 diagonal, c/5 orthogonal, and small p8 osc.

Code: Select all

x = 240, y = 156, rule = B34/S35
35$160b3o$163b2o$159b4o$160b5o2$163b2o2$162bo$59bo100b3o24bo$36bo22b2o
55b3o43bo23b2o$36bo21bo2bo55bo2bo39b2o23bob2o$38bo22b2o52bob4o40bobo
20b4o$36b2obo14bobo3bo99b3o23bo$34b3obo15bobo58bo2bo41b2obo$34b5ob2o
12bo2b2o57b2o41bobobo$34bob2o12b3o61b4o42bo$32b2ob3o12bo2bo2b3o56b4o4b
3o32b2o2b2o$31bob2o14b2o3bo58bob4o5b4o$28bobo3bo15b2o3bo53bo3bo4bo2bo
4bo31bob2o$29bo3bo12bo3b3o2bo50b3o5bobob3obo2b3o31b3o$25bobo4bo13bo4b
5o52bo4b2o4b2ob3o33bo2bo$26bob2obo16bo4bo51bobob2ob2obobob2o$24bo2bobo
2bo13b2obo54b2obo3b3obob2o39b4o$24b2o2bobo13b3obo56bob2o2b2o$23bo5bo
14b5ob2o51bo2bo2b2obo3bo42bobo$21bo2bo2bo2bo13bob2o54b3obo2b2ob2o2bo$
20b4obob2o13b2ob3o53bob3o2b4ob6o40b2ob2o$19b2o3bobo14bob2o54bo8bo6bobo
$20bo3bo13bobo3bo53b2o2bo3b2o5bobo2bo41b5o$17b4o3b2o13bo3bo59b4obo3bo
2bobo$17b2o2b4o10bobo4bo57bobo4bo4bobobo42b2o2b2o$16b3o2bobo12bob2obo
53b5o3b2o6bo49bo$18b4o12bo2bobo2bo52bo4bo2bobobobob2obo45b4o$14b2o3b3o
12b2o2bobo52b6ob2ob2o2bob3o48bo$15b2o2bo13bo5bo52bobo5b2o3bo2b3o49bo2b
o$15b3o13bo2bo2bo2bo51bobo5b2o2b2ob2o50b2o$17bo12b4obob2o53b2obob2ob2o
b2o3bo54bo$29b2o3bobo53b2o3bo3b5obobo51b2obo$30bo3bo54bobo3b2o3b2obob
3o53b3o$27b4o3b2o55b2obob10o53b2ob2o$27b2o2b4o53bob4obo2bo3b2obo54b2o$
26b3o2bobo55b3o2bo5b3o60bo$28b4o55b2obobob2o6bo56bo3bo$24b2o3b3o55b7o
2bob2o2bo$25b2o2bo58bo2bo3bo3bobo57b2o2bo$25b3o59b4ob7obo59bo$27bo60b
5o2b2o62b6o$86bobo3b2obo$86b3obob2obo65b4o$86b3o69bob2o$163bo$160bo$
158b3obo$159b2o!

[Saka]

Didn't find anything interesting today...

Code: Select all

x = 75, y = 51, rule = B34/S35
46bo$33bo6b3obobo$40b2o2b2obo5b2o$2bo2b3o7b3o13b2o2bo2b2o2bo6bobo2b3ob
3o$bo3b2o3b2o3b2o2bo10bob2obo2b10ob2o5bobo2bo$2obob2o2b2o4b2o13bob2o4b
obo4bobob2ob2o5bobo$bobob3obo7b3o10b2obobobo2bob5ob3o10bo$2bo2bo5bo5bo
bo8bobo2b2o6bo4b2ob3ob2o$3b2o3bo21b2obobobo2bob5ob3o10bo$6b2ob2o2bo2b
2obo10bob2o4bobo4bobob2ob2o5bobo$4b6o2b2obo14bob2obo2b10ob2o5bobo2bo$
6b4o2bo4b3o11b2o2bo2b2o2bo6bobo2b3ob3o$4b2o3bob2o2b4o21b2o2b2obo5b2o$
4b2o2bo24bo6b3obobo$4b3o39bo4$46bo$33bo6b3obobo11bobobob2o8bo$40b2o2b
2obo5bobo2bob2ob2o7bobo$3o28b2o2bo2b2o2bo6bobobo2bob4obob3obob2o$2o2b
3o23bob2obo2b10ob2o2b2obo2bobo2b3o2bo$2o28bob2o4bobo4bobob2ob5o3bobobo
b3o2bo$2bobobo23b2obobobo2bob5ob3o2b4o2bobo$3bo24bobo2b2o6bo4b2ob3o3b
3obo$3b2o2bo22b2obobobo2bob5ob3o2b4o2bobo$4bo25bob2o4bobo4bobob2ob5o3b
obobob3o2bo$5bobo22bob2obo2b10ob2o2b2obo2bobo2b3o2bo$7bo23b2o2bo2b2o2b
o6bobobo2bob4obob3obob2o$5b2o33b2o2b2obo5bobo2bob2ob2o7bobo$5b2o26bo6b
3obobo11bobobob2o8bo$5b3o38bo6$2b3o4bo$2b2o2b4obo$2b2o3b2o4b2o$4b3o3bo
bo$2bob2obobobo2bo$bobo2b2o2bo$2o2b3ob2obobo$bobo2b2o2bo$2bob2obobobo
2bo$4b3o3bobo$2b2o3b2o4b2o$2b2o2b4obo$2b3o4bo!

[Bullet51]

Oscillators of period 10,12 and 16:

Code: Select all

x = 33, y = 10, rule = B34/S35
3bo12bo11bo$5bo8bo3bo7bo$2b2o2bo9b2obo9bo$bobob2obo5bo2b2o6b2ob2obo$
16b3o4bo2b3o$ob2obobo6b3o10b3o2bo$2bo2b2o7b2o2bo5bob2ob2o$3bo9bob2o9bo
$5bo8bo3bo10bo$16bo10bo!

Edit:

Code: Select all

x = 6, y = 5, rule = B34/S35
2ob2o$2o2b2o$2o3bo$2o2b2o$2ob2o!

[Bullet51]

2c/4 and c/5 ships:

Code: Select all

x = 27, y = 17, rule = B34/S35
bob4obo$4o2b4o9b3o$2b6o$10o8bo3bo$3bo2bo13bo$o2b4o2bo8b5o$2bob2obo10bo
3bo$2bob2obo11b3o$2b2o2b2o9bo2bo2bo$bo2b2o2bo5b2ob7ob2o$3bo2bo8bo9bo$b
3o2b3o5bo2b2obob2o2bo$2b2o2b2o9b7o$3bo2bo$bobo2bobo$b3o2b3o11bo$2bo4bo
!

[Naszvadi]

All non-vanishing 2G right-angle collisions:

Code: Select all

x = 438, y = 98, rule = B34/S35
2bo29bo29bo29bo29bo29bo29bo29bo11bo$ob4o24bob4o24bob4o24bob4o24bob4o
24bob4o24bob4o7b3o14bob4o8bo$b5o25b5o25b5o25b5o25b5o25b5o7b3o15b5o8bo
16b5o7b2obo$bob3o25bob3o25bob3o25bob3o25bob3o7b3o15bob3o6bobobo14bob3o
7bob2o14bob3o8bo2bo$104bo29bo28bo2bo28b3o25bo$73b3o27b3o27bob2o27b3o
26b2o29b2obo$73b3o26b2ob2o28b3o28bo28bobo26bo$73b3o30bo26b2o30bo$43b3o
28b3o28bo29bobo$13b3o26bobobo26b2o31bo$13b3o27bo2bo28bo28bo$13b3o28b3o
$14b3o29bo$13b2o30bo$15bo14$374bo$343b3o28bo28b3o$313b3o28bo27bob2o27b
3o$bob3o25bob3o25bob3o25bob3o25bob3o25bob3o25bob3o25bob3o25bob3o8bo16b
ob3o7b3o15bob3o6bobobo14bob3o6b2obo15bob3o5bo2bo16bob3o7b3o15bob3o$b5o
25b5o25b5o25b5o25b5o25b5o25b5o25b5o8bo16b5o7b3o15b5o7b3o15b5o6bo2bo15b
5o5b3o17b5o9bo15b5o6b3o16b5o$ob4o24bob4o24bob4o24bob4o24bob4o24bob4o
24bob4o24bob4o7b3o14bob4o24bob4o7b3o14bob4o6b3o15bob4o8b2o14bob4o5bob
2o15bob4o8b2o14bob4o$2bo29bo29bo29bo29bo29bo29bo10b3o16bo9b2ob2o15bo8b
2ob2o16bo9b3o17bo9bo19bo8bobo18bo11bo17bo10bo18bo$164bo27bobobo25bo28b
2o31b2o27bo$134bo28b3o26bo2bo27bo28bobo28bo$103b3o28bo57b3o27bo$73b3o
28bo27bob2o25b2ob2o26bo31bo$72bobobo25b2obo25bo2bo26b2o30bo$43b3o26bo
2bo25b3o31bo26bobo$13b3o26bobobo25b3o29b2o25bob2o$13b3o26bo2bo26bo28bo
bo30bo$13b3o26b3o28bo$12b3o27bo$14b2o27bo$13bo6$433b3o$434bo$433bob2o$
435b3o$433b2o$435bobo4$bob3o25bob3o25bob3o25bob3o25bob3o25bob3o25bob3o
25bob3o25bob3o25bob3o25bob3o25bob3o25bob3o25bob3o8bo$b5o25b5o25b5o25b
5o25b5o25b5o25b5o25b5o25b5o25b5o25b5o25b5o25b5o7b3o15b5o8bo$ob4o24bob
4o24bob4o24bob4o24bob4o24bob4o24bob4o24bob4o24bob4o24bob4o24bob4o24bob
4o24bob4o8bo15bob4o7b2obo$2bo29bo29bo29bo29bo29bo29bo29bo29bo29bo29bo
29bo29bo10bob2o15bo11bo2bo$284bo58b3o29b3o25bo$284bo28b3o26bobobo26b2o
29b2obo$254bo28b2obo26b3o27bo2bo28bobo26bo$224bo28b3o28bo2bo25b3o28b3o
$193b3o27b3o26b2ob2o26bo30b3o29bo$192bobobo59bo27b2obo25b2o30bo$164bo
28bo2bo26b2ob2o27bo28bo30bo$133b3o27b3o28b3o29b2o28bo$133b3o26b2ob2o
29bo27bobo27bo$104bo28b3o30bo28bo$74bo28b3o28b3o28bo$73b3o57b2o31bo$
72b2ob2o26b2ob2o27bo28bo$76bo29b2o$75bo28bobo$14bo28b3o30bo$13b3o27b3o
28bo$43b3o$13b2ob2o26b3o$16b2o25b2o$14bobo28bo6$bob3o25bob3o8bo$b5o7b
3o15b5o7b3o$ob4o7b3o14bob4o6b2ob2o$2bo10b3o16bo13bo$14b3o28bo$13b2o31b
o$15bo28bo!

[yujh]

I can get something...(should be known)
c/3d

Code: Select all

x = 21, y = 21, rule = B34/S35
16bo$14bo2bo$14bo$14b3o2bo$17bo2bo$9b2ob2o3bo$11b2o4b3o$7b2ob3o
2bo$11bob3o$4b2o2b7o$11bobobo$3b2o2b2o2bo3bo$3bobobobobobo$3b4ob
2o3bo$ob2o3bo$3o4b2o2bo$o2b2o2bobobo$bob2ob4o$b2o2b2o$2b2obo$4b3o
!

c/3o

Code: Select all

x = 15, y = 19, rule = B34/S35
2b2o7b2o$3b2o2bo2b2o$o3bo5bo3bo$bo11bo$bobo2b3o2bobo$b3obobobob
3o$2b3o5b3o$bo11bo$2b2o7b2o$b3o7b3o$3bo7bo$b3obobobob3o$7bo$3b2o
2bo2b2o$3bo3bo3bo$2b4o3b4o$3bo7bo$5b2ob2o$5b5o!

gfind.
C/3d,close.

Code: Select all

x = 8, y = 8, rule = B34/S35
3bo$2bobo$bob2o$bo2b3o$2bo2bobo$4o2bo$b2ob2o$2bo!

Works in B34S357

[LaundryPizza03]

A c/5 diagonal:

Code: Select all

x = 19, y = 19, rule = B34/S35
14bobo$15bo$11bobo4bo$12bob2obo$10bo2bobo2bo$10b2o2bobo$9bo5bo$7bo2bo
2bo2bo$6b4obob2o$5b2o3bobo$6bo3bo$3b4o3b2o$3b2o2b4o$2b3o2bobo$4b4o$2o
3b3o$b2o2bo$b3o$3bo!

[dani]

New ships and a wickstrecher:

Code: Select all

x = 42, y = 12, rule = B34/S35
5bo10bo10bo11bo$4b3o8b3o8b3o9b3o$3bo3bo6bo3bo6bo3bo7bo3bo$2bob2o7bob2o
7bob2o8bob2o$2ob2o6b2ob2o6b2ob2o7b2ob2o$3obo6b3obo6b3obo7b3obo$obo3bo
4bobo3bo4bobo3bo5bobo3bo$4bobo10bo10bo9bobo$4bobo6bo3bo6bo3bo9bobo$6bo
10bo6bo3bo11bo$15bo12bo11bo$26bo13bo!

Code: Select all

x = 31, y = 50, rule = B34/S35
5bo19bo$4b3o17b3o$3bo3bo15bo3bo$2bob2o16bob2o$2ob2o15b2ob2o$3obo15b3ob
o$obo3bo13bobo3bo$4bobo17bobo$4bobo17bobo$6bo19bo$6bo19bo$4bobo17bobo$
4bobo17bo$obo3bo17bo3bo$3obo19bobobo$2ob2o21bobobo$2bob2o22bo$3bo3bo$
4b3o$5bo29$bo$3o!

[LaundryPizza03]

c/6o partial at width 8:

Code: Select all

x = 15, y = 146, rule = B34/S35
7bo2$5b2ob2o$3b2obobob2o$4bo2bo2bo$3bo2b3o2bo$2b2o2bobo2b2o$b2o
bobobobob2o$b2o2b5o2b2o$b2ob3ob3ob2o$4bo5bo$b5o3b5o$2b2obo3bob2o
$2b4obob4o$2b3obobob3o$2b2ob2ob2ob2o2$2b4o3b4o$7bo$6b3o$2bob3ob3o
bo$6b3o$b2obo5bob2o$3b9o$2bo2b2ob2o2bo$5b2ob2o$7bo$3b2o5b2o$2bob
obobobobo$2b3ob3ob3o$5b5o$3bob2ob2obo$b2obobobobob2o$3bo7bo$b2o3b
obo3b2o$b2o9b2o$6bobo$2b4obob4o$2b2ob2ob2ob2o$2bob2o3b2obo$2b4ob
ob4o$5bo3bo$3b3obob3o$3b2o2bo2b2o$3b2o2bo2b2o$4b3ob3o$2bo4bo4bo$
3o3b3o3b3o$b2o3bobo3b2o$3obobobobob3o$2bob3ob3obo$5bobobo$7bo2$4b
3ob3o$6b3o2$6b3o$4b2obob2o$3bobo3bobo$3b2obobob2o$3b4ob4o$2bobob
3obobo$5bobobo$b4ob3ob4o$bob2o5b2obo$bobobobobobobo$bobobo3bobob
o$3b3o3b3o$b2obo2bo2bob2o$bobo2bobo2bobo$bo11bo$o2bo7bo2bo$o2bo7b
o2bo$3b2o5b2o$4b2obob2o$bobo3bo3bobo$b2o9b2o$2b2ob2ob2ob2o$2b4o3b
4o$3bob5obo$4b2obob2o$7bo$3bo3bo3bo$3b3o3b3o$3bobobobobo$2bob2o3b
2obo$3bob2ob2obo$b2o2b2ob2o2b2o$2b4o3b4o$bobo2bobo2bobo$bo11bo$b
o5bo5bo$3b9o$b2ob2obob2ob2o$3b2ob3ob2o$bo2bob3obo2bo$2bobo2bo2bo
bo$2bob3ob3obo$2bo2bobobo2bo$3b3o3b3o$3b2o5b2o$3b3o3b3o$b3o2b3o2b
3o2$3o2b2ob2o2b3o$bob2obobob2obo$o2b2obobob2o2bo$bob3obob3obo$b2o
b2o3b2ob2o$b2o2b2ob2o2b2o$2bob3ob3obo$b2o4bo4b2o$3bobobobobo$2b3o
5b3o$2b2o2bobo2b2o$3b3o3b3o$2bo9bo$2b3obobob3o$bo2bo5bo2bo$bo2b2o
bob2o2bo$bob2obobob2obo$bo2bo2bo2bo2bo$2bo2b2ob2o2bo$2bob3ob3obo
$4b7o$2bob2o3b2obo$2bobo5bobo$o4b2ob2o4bo$2bobobobobobo$5bo3bo$3b
ob2ob2obo$3bob5obo$4b2obob2o$2b2o3bo3b2o$b5o3b5o$b3o7b3o$b6ob6o$
o3b7o3bo$bo2bobobobo2bo$ob3o5b3obo$obo4bo4bobo$bo2b3ob3o2bo$3b3o
3b3o$b3o3bo3b3o$2b5ob5o2!

3c/7o partial at width 9:

Code: Select all

x = 17, y = 61, rule = B34/S35
6b5o$5bobobobo$4b2o5b2o$5bo2bo2bo$3b2o7b2o$5b7o$3b5ob5o$6bo3bo$5b2obob
2o$7bobo$5b7o$6b2ob2o$6b2ob2o$6b2ob2o$5bo2bo2bo$4bobo3bobo$6bo3bo$2bob
2ob3ob2obo$3b2o7b2o$2bobobo3bobobo$4o9b4o$4bo3bo3bo$4o4bo4b4o$5b3ob3o$
bob4o3b4obo$4b3o3b3o$2bob2obobob2obo$2b3o7b3o$2bo3b5o3bo$3bo2b2ob2o2bo
$2bob3o3b3obo$2bobo2b3o2bobo$5bo5bo$3bob7obo$4b2obobob2o$4b2obobob2o$
7bobo$3b4obob4o$4bo7bo$2bobo3bo3bobo$2b3obobobob3o$2obo2b5o2bob2o$6b5o
$bobobo5bobobo$2b2ob2o3b2ob2o$6bobobo2$2b3obobobob3o$3bo3b3o3bo$3b2obo
3bob2o$2bob3o3b3obo$3bo2b5o2bo$3b3obobob3o$5bo5bo$3o2bo5bo2b3o$2bo2bo
5bo2bo$6obobob6o$3bobob3obobo$b2o3b5o3b2o$bo4b2ob2o4bo$bob3o2bo2b3obo!

[DroneBetter]

two new speeds found!
221-cell smallest glide-symmetric c/6d by bounding box (among the thinnest at 18 half-diagonals) with a forked front, and likewise 33-cell symmetric c/7d (at 13 h.d.), both found with rlifesrc.

Code: Select all

x = 56, y = 46, rule = B34/S35
38b4o$39b3o$37bo3bo$35bobo$36bob2o$34bo2b2o7bo$32bo2b2obo6b3o$32bo2b3o$31bo2bo6b3obobo$42bobobo$32b3o6b2obo5bo$32bo5bobobobo3b2o2bo$30b2obobob2obobo6bob3o$31b2ob2o3b2obo4b5ob2o$29b2ob2obo5bo5b7o$30b4o2b3obo5bobo2b2o2bo$25b4obo8bo11b4o$22bob4o3b3o14bob3obo$22b2obo5b3o17b2o$22bobobob3obo17bo$24b2ob3o$22bobo7bo$19bob2ob2o$20b2o6b3o$17bo3b3obo3bo$19bo5b2o$16bo4b4o3bo$17b3obob2o$15bob2obobo$13bo5bo$13bobobob2o$11b4obobo$9bo2b6o$8b2o6b2o$10bo2bo$8bo4b2o$7b2o2b2obo$5bob2ob3o2bo$5bobo5b2o$5b2o3bo3bo$5b2o3bo$5b2o2b2o$bo3bo2b2o$4bo3bo$o2bob2o$2b5o!

note that lordlouckster found a 129-cell (2,1)c/6 shared in the "Spaceships in Life-like cellular automata" thread on 2024-08-10.
(see my table in User:DroneBetter/qfind results#B34/S35_(Dance) for the present forefront of searches by width :-)

edit 2024-11-07:

c/6o partial at width 8:

Code: Select all

x = 15, y = 146, rule = B34/S35
7bo2$5b2ob2o$3b2obobob2o$4bo2bo2bo$3bo2b3o2bo$2b2o2bobo2b2o$b2obobobobob2o$b2o2b5o2b2o$b2ob3ob3ob2o$4bo5bo$b5o3b5o$2b2obo3bob2o$2b4obob4o$2b3obobob3o$2b2ob2ob2ob2o2$2b4o3b4o$7bo$6b3o$2bob3ob3obo$6b3o$b2obo5bob2o$3b9o$2bo2b2ob2o2bo$5b2ob2o$7bo$3b2o5b2o$2bobobobobobo$2b3ob3ob3o$5b5o$3bob2ob2obo$b2obobobobob2o$3bo7bo$b2o3bobo3b2o$b2o9b2o$6bobo$2b4obob4o$2b2ob2ob2ob2o$2bob2o3b2obo$2b4obob4o$5bo3bo$3b3obob3o$3b2o2bo2b2o$3b2o2bo2b2o$4b3ob3o$2bo4bo4bo$3o3b3o3b3o$b2o3bobo3b2o$3obobobobob3o$2bob3ob3obo$5bobobo$7bo2$4b3ob3o$6b3o2$6b3o$4b2obob2o$3bobo3bobo$3b2obobob2o$3b4ob4o$2bobob3obobo$5bobobo$b4ob3ob4o$bob2o5b2obo$bobobobobobobo$bobobo3bobobo$3b3o3b3o$b2obo2bo2bob2o$bobo2bobo2bobo$bo11bo$o2bo7bo2bo$o2bo7bo2bo$3b2o5b2o$4b2obob2o$bobo3bo3bobo$b2o9b2o$2b2ob2ob2ob2o$2b4o3b4o$3bob5obo$4b2obob2o$7bo$3bo3bo3bo$3b3o3b3o$3bobobobobo$2bob2o3b2obo$3bob2ob2obo$b2o2b2ob2o2b2o$2b4o3b4o$bobo2bobo2bobo$bo11bo$bo5bo5bo$3b9o$b2ob2obob2ob2o$3b2ob3ob2o$bo2bob3obo2bo$2bobo2bo2bobo$2bob3ob3obo$2bo2bobobo2bo$3b3o3b3o$3b2o5b2o$3b3o3b3o$b3o2b3o2b3o2$3o2b2ob2o2b3o$bob2obobob2obo$o2b2obobob2o2bo$bob3obob3obo$b2ob2o3b2ob2o$b2o2b2ob2o2b2o$2bob3ob3obo$b2o4bo4b2o$3bobobobobo$2b3o5b3o$2b2o2bobo2b2o$3b3o3b3o$2bo9bo$2b3obobob3o$bo2bo5bo2bo$bo2b2obob2o2bo$bob2obobob2obo$bo2bo2bo2bo2bo$2bo2b2ob2o2bo$2bob3ob3obo$4b7o$2bob2o3b2obo$2bobo5bobo$o4b2ob2o4bo$2bobobobobobo$5bo3bo$3bob2ob2obo$3bob5obo$4b2obob2o$2b2o3bo3b2o$b5o3b5o$b3o7b3o$b6ob6o$o3b7o3bo$bo2bobobobo2bo$ob3o5b3obo$obo4bo4bobo$bo2b3ob3o2bo$3b3o3b3o$b3o3bo3b3o$2b5ob5o2!
[[ TRACK 0 -1/6 ]]

the only symmetry supporting c/6's at logical width 8 is even; shortest and smallest (by population) w16e:

Code: Select all

x = 14, y = 38, rule = B34/S35
4b6o$5b4o$bob2ob2ob2obo$b2o8b2o$bob2ob2ob2obo$o2b8o2bo$ob2ob4ob2obo$2bob2o2b2obo$3bo2b2o2bo$2bo2bo2bo2bo$2b4o2b4o$4bo4bo$2bo8bo$4bo4bo$bo2b2o2b2o2bo$2bob2o2b2obo$3b2ob2ob2o$4b6o$4bob2obo$6b2o$4bo4bo$5bo2bo$3b2ob2ob2o$3b3o2b3o$3bo6bo$3b2o4b2o$3b2o4b2o$3bo6bo$4b6o$6b2o$6b2o2$6b2o$2b2o6b2o$b2obo4bob2o$o2bob4obo2bo$bo2bo4bo2bo$3b2o4b2o!
[[ TRACK 0 -1/6 ]]

(see also the first and smallest known c/6 in general at w19o, found by lordlouckster on 2024-08-02)

also, first known 2c/7, the shortest at w19o (no thinner symmetricals exist)

Code: Select all

x = 17, y = 48, rule = B34/S35
6b5o$5b2o3b2o$4bo7bo$4bo2bobo2bo$6bo3bo$2b2ob3ob3ob2o$2b2obo5bob2o$2bo2bo5bo2bo$2b2obo5bob2o$3o11b3o$5b2o3b2o$2bo2bo2bo2bo2bo$7bobo$2b5obob5o$2bo4bobo4bo$o2bo3b3o3bo2bo$2o3b7o3b2o2$3b3ob3ob3o$5b2obob2o$3b3obobob3o$5b2o3b2o$3b2o2bobo2b2o$3bo2b5o2bo$3b2ob2ob2ob2o$3b2obo3bob2o$3bo2bo3bo2bo$3bob2o3b2obo$4bob5obo$3bob2o3b2obo$3b5ob5o$5b2o3b2o$5b2o3b2o$7b3o$6b2ob2o$3b4o3b4o$bobobobobobobobo$bo2bo2b3o2bo2bo$2obobo5bobob2o$bo3b2obob2o3bo$obo2b3ob3o2bobo$2bo2b3ob3o2bo$4b3obob3o$3bob2o3b2obo$4b2o2bo2b2o$4b2o5b2o$6b2ob2o$5bo5bo!
[[ TRACK 0 -2/7 ]]

[DroneBetter]

small c/4 that I think went under the radar

Code: Select all

x = 10, y = 9, rule = B34/S35
b3o2b3o$bo2b2o2bo$bobo2bobo$10o$b3o2b3o$2o6b2o$3b4o$4bo$4bo!
[[ TRACK 0 -1/4 ]]

more interestingly, first known 2c/5 at w27o (the thinnest possible symmetric) and 962 cells (the shortest possible at its width)

Code: Select all

x = 27, y = 119, rule = B34/S35
11b5o$9bobo3bobo$10bo5bo$6b3o9b3o$5b4obo2bo2bob4o$4bo3bobobobobobo3bo$6bobo9bobo$2b2o2bo13bo2b2o$4bo7bobo7bo$4bo3b3ob3ob3o3bo$6bo5bobo5bo$5bob2o2bo3bo2b2obo$7b3obo3bob3o$5bo2bob3ob3obo2bo$4b2o3bob2ob2obo3b2o$b4o2b2ob7ob2o2b4o$b2obob5o5b5obob2o$bob2o2bo2b2o3b2o2bo2b2obo$3b2o4b3obob3o4b2o$3bo2bo6bo6bo2bo$3b2obo2b9o2bob2o$3bo2bob2obobobob2obo2bo$b3ob4o3bobo3b4ob3o$bo8bobobobo8bo$2b4obo3b2ob2o3bob4o$o2b3o2b3o2bo2b3o2b3o2bo$bo2bobob3o5b3obobo2bo$2bobobo3bo2bo2bo3bobobo$b2o2bo2bobob3obobo2bo2b2o$2bob2o15b2obo$bo4bob2o2b3o2b2obo4bo$o2bo3bo2b7o2bo3bo2bo$3b5obo7bob5o$b5ob2o2b2ob2o2b2ob5o$4b4o3b5o3b4o$2b3o2b2obo2bo2bob2o2b3o$4bo2bo2bo2bo2bo2bo2bo$7b3obo3bob3o$7bob2o5b2obo$5b2ob2obo3bob2ob2o$5bobo2b2obob2o2bobo$6bo2b3obob3o2bo$4b6obo3bob6o$4b4o3bo3bo3b4o$9bobo3bobo$6bo5bobo5bo$6b2ob2o5b2ob2o$9b4ob4o$6b3o2b5o2b3o$6bobo9bobo$5b4obobobobob4o$4bo4bo7bo4bo$3bobo2bob2o3b2obo2bobo$2bo4b2o9b2o4bo$b2o2b2o2bo7bo2b2o2b2o$2o4bo3bob3obo3bo4b2o$2o3bobo2bo2bo2bo2bobo3b2o$bo2b2o5bo3bo5b2o2bo$4b2ob2ob3ob3ob2ob2o2$4b2o4bo5bo4b2o$4b2obo11bob2o$2bo2b5o7b5o2bo$3bo19bo$2b2o3b5o3b5o3b2o$bo2b2o2b2obo3bob2o2b2o2bo$3bo3bo2b7o2bo3bo$2bo6bo7bo6bo$3bob3o3b2ob2o3b3obo$4bobobo2b2ob2o2bobobo$7bo2bo5bo2bo$4b2o6bobo6b2o$4b2o2b3o2bo2b3o2b2o$3b2o4bo2bobo2bo4b2o$12bobo$3b2o2bob3o3b3obo2b2o$4bobo4bo3bo4bobo2$12bobo$7b5o3b5o$7b3o7b3o$5bo2bobo5bobo2bo$6bo2bo7bo2bo$3b3ob3o2bobo2b3ob3o$3b2o5b2obob2o5b2o$2bob3o13b3obo$2b4o5b2ob2o5b4o$3bobobo11bobobo$bobo3bo3b2ob2o3bo3bobo$2b2obobo3bo3bo3bobob2o$ob3o7bobo7b3obo$2b2o7b2ob2o7b2o$3bobo2bob7obo2bobo$3bo4b2o2bobo2b2o4bo$7b2obo5bob2o$7bo3bo3bo3bo$7bo11bo$9b3o3b3o$9b2o2bo2b2o$10bobobobo$10bo5bo$8b2o2b3o2b2o$8bobobobobobo$6bob3obobob3obo$9bo2bobo2bo$8b2obo3bob2o$7b2ob2obob2ob2o$7b3o7b3o$7bobo7bobo$8bob2o3b2obo$7b2o2bo3bo2b2o$6bo3bob3obo3bo$5b2o2bo2b3o2bo2b2o$9b2ob3ob2o$6bo13bo$8bo9bo$11b2ob2o$12bobo$12b3o!
[[ TRACK 0 -2/5 ]]

(the 2c/5 section of my table, User:DroneBetter/qfind results#B34/S35_(Dance), had both asym and even disproven up to logical width 14 but none of my computers could do likewise for odd; it finally succeeded in LLSSS in 5.7 hours when I temporarily got my hands on a computer with 64GB RAM (which I knew generally killed processes upon reaching about 128GB RAM+swap), terminating after reaching a peak of 116.99GB)