B35678/S (Interesting p2 phoenixes)

[muzik]

I've been searching this rule for a while. It runs preposterously fast on apgsearch (I can get up to 200000 soups/second on apgmera) so searching it really isn't a problem. (Although more people searching it at once will definitely lead to faster results!)

I'm mainly searching this rule to see if phoenixes with periods other than 2 can exist (although there are indeed many in Seeds and LFOD, they are explosive B2 rules and less closely related to Life).


Catagolue page: https://catagolue.appspot.com/census/b35678s/C1


Would ships be possible in this rule? Given the way it decomposes rapidly and barely ever escapes its own bounding box it doesn't seem likely at all, but the glider database doesn't give any specific reasons why there couldn't be.

[velcrorex]

Here are oscillators of periods 4, 6 and 8. Found with wls.

Code: Select all

x = 30, y = 44, rule = B35678/S
3bo5bo$5bobo$2b2o2bo2b2o$2bobobobobo$obob2ob2obobo$obob2ob2obobo$2bobo
bobobo$2b2o2bo2b2o$5bobo$3bo5bo7$4bo5bob2o$b3ob2obo2bo$4b2obobo2b3o$2b
2ob2o4bo$5bo2bobo$5bo2bobo$2b2ob2o4bo$4b2obobo2b3o$b3ob2obo2bo$4bo5bob
2o8$15bo$2b3ob4o2b3ob3o2b4ob3o$2bo3b2obo11bob2o3bo$2b4obob5o2b2ob3obob
4o$bo5bobo4b2o7bobo3bo$2b2obobo3b2obobo2bobobo3b2o$bo5bobo4b2o7bobo3bo
$2b4obob5o2b2ob3obob4o$2bo3b2obo11bob2o3bo$2b3ob4o2b3ob3o2b4ob3o$15bo!

[muzik]

Here are oscillators of periods 4, 6 and 8. Found with wls.

So those periods can exist in b3 rules... nice.

I'm kind of surprised that p4 hasn't appeared in a soup yet (especially with my haul size), considering how small it is.


EDIT: I see you found a bunch, but then again those are from symmetric soups...

[muzik]

We now have a p4!

Code: Select all

x = 16, y = 16, rule = B35678/S
oboobbobbooboooo$
boobbbboobbbboob$
ooooobbbbbbbooob$
obbooboooooboobb$
bbooboobooooooob$
bobobbboboobobbb$
ooobboboobobbbob$
bbbbbobboobbbobo$
bbbbbbbbooooboob$
bobbobboboobbboo$
bbobobooobbooobb$
bbobbbbbbbboobbb$
obbbobbboobboooo$
oboboooboobbboob$
bobbbboooooobbob$
ooooooooooooooob!

[muzik]

Currently searching for xp10s.


What is the biggest apghaul you can submit in this rule?

EDIT: 100,000,000 soups would roughly equate to half the amount of objects in my usual CGoL haul submissions.

[Bullet51]

P10:

Code: Select all

x = 18, y = 18, rule = B35678/S
6bo4bo2bo$3bob2ob2ob2obo$3bo8bobo$12o2b3o$12bobo$b2ob2ob6obobo$2obobob
o6bob2o$3bobobob4obo$bobobobo4bobobo$bobobo4bobobobo$3bob4obobobo$2obo
6bobobob2o$bobob6ob2ob2o$3bobo$b3o2b12o$3bobo8bo$3bob2ob2ob2obo$3bo2bo
4bo!

[GUYTU6J]

Agar

Code: Select all

x = 10, y = 10, rule = B35678/S:T10,10
bob3o$3o5bo$5bob3o$2bob3o$b3o5bo$o5bob2o$3bob3o$ob3o$2o5bobo$4bob3o!

Code: Select all

x = 12, y = 6, rule = B35678/S:T12,6
o3b2ob2o$2b2ob2o3bo$2ob2o3bo$b2o3bo3b2o$o3bo3b2obo$2bo3b2ob2o!

[muzik]

Agar

Code: Select all

x = 9, y = 6, rule = B35678/S
bobobobo$bobobobo$obobobobo$obobobobo$bobobobo$bobobobo!

Stabilisation of this

Code: Select all

x = 19, y = 12, rule = B35678/S
2bobo3bobo3bobo$obobobobobobobobobo$obobobobobobobobobo$bobobobobobobo
bobo$bobobobobobobobobo$obobobobobobobobobo$obobobobobobobobobo$bobobo
bobobobobobo$bobobobobobobobobo$obobobobobobobobobo$obobobobobobobobob
o$2bobo3bobo3bobo!

Another agar stabilisation.

Code: Select all

x = 13, y = 13, rule = B35678/S
9bobo$2bo2bo2bo2b2o$b2ob2ob2o$9bobo$2bo2bo2b2o$b2ob2ob4o2$2bo2bo2bobo$
b2ob2ob2o$o2b3o3b2o$5bobobo$2obo$bo!

[muzik]

Barberpole stabilisation

Code: Select all

x = 43, y = 41, rule = B35678/S
bo$2obo2$bobobo2$bo3bobo2$2o5bobo2$obo6bobo$bo$b3o7bobo2$13bobo2$15bob
o2$17bobo2$19bobo2$21bobo2$23bobo2$25bobo2$27bobo2$29bobo7b3o$41bo$31b
obo6bobo2$33bobo5b2o2$35bobo3bo2$37bobobo2$39bob2o$41bo!

Microscopic p4:

Code: Select all

x = 9, y = 7, rule = B35678/S
2bo3bo$obo3bobo$3bobo$bo2bo2bo$3bobo$obobobobo$2bo3bo!

another stabilisation:

Code: Select all

x = 47, y = 86, rule = B35678/S
37bob2obo$36b2o2bo3bo$44bo$37bobo2bo3bo$38bo4bobo$36b3o2bo3bo$42bo$40b
o$41bo$39bo$40bo$38bo$39bo$37bo$38bo$36bo$37bo$35bo$36bo$34bo$35bo$33b
o$34bo$32bo$33bo$31bo$32bo$30bo$31bo$29bo$30bo$28bo$29bo$27bo$28bo$26b
o$27bo$25bo$26bo$24bo$25bo$23bo$24bo$22bo$23bo$21bo$22bo$20bo$21bo$19b
o$20bo$18bo$19bo$17bo$18bo$16bo$17bo$15bo$16bo$14bo$15bo$13bo$14bo$12b
o$13bo$11bo$12bo$10bo$11bo$9bo$10bo$8bo$9bo$7bo$8bo$6bo$7bo$5bo$6bo$4b
o$bo3bo2b3o$bobo4bo$o3bo2bobo$2bo$2bo3bo2b2o$4bob2obo!

Guess what, another:

Code: Select all

x = 27, y = 55, rule = B35678/S
o3bo$obobobo$2o4bo$4bobo$b2o2$2b2o2$3b2o2$4b2o2$5b2o2$6b2o2$7b2o2$8b2o
2$9b2o2$10b2o2$11b2o2$12b2o2$13b2o2$14b2o2$15b2o2$16b2o2$17b2o2$18b2o
2$19b2o2$20b2o2$21b2o2$22b2o2$23b2o2$24b2o$20bobo$20bo4b2o$20bobobobo$
22bo3bo!

Where do I even put these:

Code: Select all

x = 40, y = 45, rule = B35678/S
bobo2b2obobo$2o2bo3bobo$4bo2b2ob3o$bo2b2obo2$2b2o2$4b2o2$6b2o2$8b2o2$
10b2o2$12b2o2$14b2o2$16b2o2$18b2o2$20b2o2$22b2o2$24b2o2$26b2o2$28b2o2$
30b2o2$32b2o2$34b2o2$36b2o2$32bob2o2bo$27b3ob2o2bo$29bobo3bo2b2o$28bob
ob2o2bobo!

I'm tempted to start a wiki:

Code: Select all

x = 13, y = 39, rule = B35678/S
ob2ob2obo$2bo2bo2bo$9o2$3bobo$4bo$4bo2$4bobo$5bo$5bo2$5bobo$6bo$6bo2$
6bobo$7bo$7bo2$7bobo$8bo$8bo2$8bobo$9bo$9bo2$9bobo$10bo$5b3o2bo$7bo$5b
obo2bobo$5b2o4bo$11bo$5bo$5b2o2b2o$7bo$5bobobo!

Anothe stabilisation, this one found by hand:

Code: Select all

x = 27, y = 5, rule = B35678/S
24bo2$ob2ob2ob2ob2ob2ob2ob2ob2obo$o2bo2bo2bo2bo2bo2bo2bo2bo$3o!

Another handmade one:

Code: Select all

x = 43, y = 16, rule = B35678/S
3o37b3o$o41bo$obo37bobo$b2o37b2o2$2bo37bo$4bobobobobobobobobobobobobob
obobobobo$3bobobobobobobobobobobobobobobobobobobo$3bobobobobobobobobob
obobobobobobobobobo$4bobobobobobobobobobobobobobobobobobo$2bo37bo2$b2o
37b2o$obo37bobo$o41bo$3o37b3o!

[muzik]

New natural p4!

Code: Select all

x = 16, y = 16, rule = B35678/S
bbooobobooooobbo$
bbbbbooobooboboo$
obooobobooooobbo$
obobbboooobbbobo$
obobooobbbboobbb$
bobbobbbbbbbbooo$
bbobobooboobbbbo$
boobbbooboboobbb$
bbobobbobbbbobob$
bobobbbobbbbobbb$
obobbobbooboobbo$
bobbbooooboobbbo$
bobbboboobobobbo$
oobbbbboooooobbo$
bbbbbboboobobboo$
obbbobbobbbbobbo!