B367/S3567

[Apple Bottom]

Josh Ball recently started soup-searching D4_+2 soups for this rule, and I've focussed some attention (and CPU time) on C1 soups. Among other things, this yielded this rather interesting xq24:

Code: Select all

x = 16, y = 16, rule = B367/S3567
oobbbobboobboooo$
obobbboobbobbbbb$
bbbobbbobooobobb$
oboboobobobbboob$
bbobobbobbbobbbo$
ooboboboobbobbob$
bbbbooobobbooooo$
oboobobbooooobbo$
boboobbboboooobo$
bbbobobbboobbbbb$
bobbboobobbooboo$
oobbbooobobbbooo$
bbboobbobboobbbo$
bbooobbobboooobo$
boobobboobobobbb$
booobbooboboooob!

One neat feature of this ship is that it's extensible. This (xq24_0huuzavlvftgz9ve7fv8) appears to be the shortest form:

Code: Select all

x = 14, y = 7, rule = B367/S3567
bo2bobobo$11o2bo$b3obobob5o$2b12o$b4ob4o3bo$8obo$bo3bo!

Making it even shorter eventually turns it into a different ship (xq34_bfvsvfb, Eppstein's glider 3952).

But you can make it arbitrarily long (e.g. like this):

Code: Select all

x = 114, y = 7, rule = B367/S3567
bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo$111o2bo$b3obobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobob5o$2b112o$b4obobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobob4o3bo$108o
bo$bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobo!

Because of this and because the sides of the ship resemble feet, I've dubbed it (i.e. the entire family) the "centipede". Not sure if it's known, but it's not in Eppstein's list.

I'm sure this rule's got more interesting stuff yet waiting to be discovered.

[drc]

The most common glider in a nearby rule, p152 c/2:

Code: Select all

x = 6, y = 7, rule = B3678/S3567
2o$3o$6o$2bob2o$6o$3o$2o!

[Apple Bottom]

The most common glider in a nearby rule, p152 c/2:

Neat! That's Eppstein's glider 4391.

EDIT 1: The xq24 above appeared twice more already, and two slightly shorter versions (xq24_0huuzavlvftgzlvavlvaz8vf7ev9 and xq24_0pvvhzlvavnuazqvt7uvp) also appeared:

Code: Select all

x = 16, y = 16, rule = B367/S3567
boobbooooboobooo$
obooooooobobbobb$
oobbbooooooboboo$
obbooboboobobooo$
obbooobbooboobbo$
bboooobbobboobbb$
oobbobobobbboooo$
ooboboboobobbbob$
obobbbobbobbbobo$
oobbbbbbobooobbo$
oobobbobbooooobo$
bbbobbobbbobobbb$
obbobbooobobobbo$
oobboboobbooobbo$
boboobobooobobob$
oobooboobobobooo!

Code: Select all

x = 16, y = 16, rule = B367/S3567
oobbobbbbobbbbbo$
oooooobbobbobbbb$
oobobooobbooobbo$
bbobbbobbboboobo$
ooooboobboobbbbo$
oobobbbboobobooo$
oobooobboooooboo$
bboooboobboooobo$
bbobobboboobbbbb$
booboobooooboboo$
oboboboooobbbbbo$
ooobooooobbbbbbo$
bbbboboobbboobob$
obbbboooboboobbb$
obooboobobbbbbbb$
oobboobboobobooo!

EDIT 2: Meanwhile, over in B3678/S3567 (hmm, should this get its own thread?), here's some more ships related to the centipede family. An xq96, xq96_3fvknv3zx13, already seen in four soups:

Code: Select all

x = 16, y = 16, rule = B3678/S3567
obbbbobbobbobobo$
ooobbobobbbobbbo$
bbbobbbooboobboo$
bobobbobbbooobob$
booobbbbbooooobb$
ooobboooobbbbobb$
oobobbobobbooboo$
oobbbobobobboobb$
bbbobbooboooobob$
booobbbooobbbbob$
obboobbbbooboooo$
ooobobboobobooob$
obbboobbboobbboo$
bbboooobobbbboob$
bbooobooobooboob$
bbooobooobobbobb!

And an xq42, xq42_2fusuf2z102, seen in two soups:

Code: Select all

x = 16, y = 16, rule = B3678/S3567
booboobbbboobbbb$
boboooboobbbbbbb$
oooooooboboboobb$
bobbbooboboobbbo$
obbboobobbooooob$
bbbbbobobooboboo$
booooobboobbbbob$
obbbbbbbobooobbo$
oobbbboobooobooo$
bobobbbbbboooobb$
ooobbboobbbobbbb$
bboboobobbbooooo$
boooooobbooboobo$
bbbobbobbbbbbobb$
booobobbbbboobbb$
oobboboobbbbbbob!

EDIT 3: in B367/S3567, another member of the centipede family appeared (twice already!), xq24_bvnsfvjzlvavlvaz27tvnzw55:

Code: Select all

x = 16, y = 16, rule = B367/S3567
oobbobboboobbooo$
oobobbobbboobbbo$
obbobooobbbobobb$
booooobbboooobbb$
booobobobbbbobob$
oboboooooboobooo$
obbooooboobbbbbb$
oooboboboboobboo$
oooobboobbbooobo$
bobbooooobbboooo$
oooooobbooooobbb$
bboooboboboooboo$
bobooobobooboboo$
oobobbobbbboboob$
bobobboboooobbbo$
oboooobobbbobobb!

EDIT 4: in B367/S3567, yet another centipede, xq24_0huuzavlvftgzlvavlvazqvt7uvp:

Code: Select all

x = 16, y = 16, rule = B367/S3567
obbbboobbobooooo$
oooobobobbbbbbbo$
bobooboooobboboo$
obobobbboboobboo$
ooboooooobbobbbb$
oboobobobbbboooo$
boboboooooboobbb$
oboboobbooobbobb$
bobboooooooobbbb$
bbobooobbbooboob$
bbobobbobboobboo$
boooobbobooboboo$
ooboobobobbbbbbo$
bbobobooobbobbbb$
bbbboooboooboobo$
bobboooboooobobo!

I'm gonna start naming these after their minimum population for now; thus we so far have centipede 97, centipede 84, centipede 82, centipede 72, and centipede 64 (xq24's only, not counting related ships with different periods).

EDIT 5: centipede 69 showed up:

Code: Select all

x = 16, y = 16, rule = B367/S3567
bbobooobbbboobbo$
ooobbbbooobbbbbb$
ooboooobbobbbobo$
oooobooooobobobo$
bobobooobboobboo$
bboobobboobobbob$
obooooboooobbbob$
obbobbboooooobbb$
oobbboobbbbobboo$
booobooboobobobb$
oobbobbboobboooo$
oboobobbbooboooo$
bobbbbboooobobbb$
oboobobooobbbboo$
bobboooooooooobb$
ooboobobooobbobb!

EDIT 6: centipede 92:

Code: Select all

x = 16, y = 16, rule = B367/S3567
obbobobobbboboob$
bobobbobbbbbbooo$
bbbbbbbbbbbboobb$
bobbbobooboboboo$
bbbbbobooboobobb$
obbbbbboooboobbb$
oboobbbobooobobo$
ooboobbobobooobb$
bboooooobbboobob$
oobbbooobooobooo$
booooobooooboobo$
booboobbobbbooob$
oobooobobbbbobbb$
bbobbobbooboooob$
oobobboobbbobobo$
bbbobbobbooooobo!

EDIT 7: centipede 74 and centipede 79:

Code: Select all

x = 16, y = 16, rule = B367/S3567
boobbboobbbboboo$
oobbbbobooboobbb$
bobobbobboobobob$
bbooooobbbbboobb$
bbbboboobooooboo$
oobobbbooobooobb$
bbooobbboboboooo$
bobooobbboobbobo$
booobbobobbboooo$
oboobbbbbooobbbo$
bbbbboooboooooob$
obbbbbbbobbobbbb$
booobboobbbooboo$
bobbbooooooobbbb$
oobbbooboobbbobo$
obboooboobboobbo!

Code: Select all

x = 16, y = 16, rule = B367/S3567
bbboobbobbbbbooo$
bobobbooboobbobb$
bbbboobbbbobboob$
oboboooobobobobo$
obbboobbbboooboo$
boooooooboboooob$
bbbbbboobooooobo$
bboboooobobbbooo$
bbbboobobobooooo$
boboboooooobobob$
oobbooobbbbooboo$
bbobbobbobboboob$
ooobbooboooboobo$
oboobbbobbbobbbo$
ooobbbbbboobbbob$
oooobboobobobbob!

EDIT 8: centipede 87:

Code: Select all

x = 16, y = 16, rule = B367/S3567
oboboobobbbobbbo$
booobbbbobboobbb$
bbbboooooobobbbb$
ooooboobbobobbob$
bbooboboobbobbob$
oooboboobobooobo$
boooboooobbboboo$
oobooobbbooboooo$
ooboboboobbooobb$
oobooboboobbbooo$
oobbbbbooobbbbob$
boboooooobboobbo$
obobbbobbbobooob$
oobbooooobobobbo$
booboboobooobobb$
obbboooobooobbbo!

EDIT 9: centipede 102:

Code: Select all

x = 16, y = 16, rule = B367/S3567
boobobbboboooobb$
ooobbooobbbooobb$
boobboobooobobbo$
bboooobbbooobooo$
obbboobbobbbbooo$
oobbobooobbbobbb$
obbbobobbooooobo$
bbbbboobboooooob$
bboboboboboboooo$
oboobobbbbbbboob$
bbooboobobooobbb$
bbobooobobbboobb$
ooboooooboobbobb$
oobobbbooooooobb$
oboobobobbboobbo$
obbobboooobobbbo!

EDIT 10: centipede 89:

Code: Select all

x = 16, y = 16, rule = B367/S3567
bbooboobbooooobo$
boboobooobobobob$
bbbooooobobooobb$
oobbobobboobbbbb$
ooooobobobbbobbb$
obobobbobbboobbb$
obbbbbooobbbbooo$
oboooobbbobbooob$
boooooboobbbobbo$
ooobboooobbbbooo$
boooooobbbbboobb$
obbobooobboboobo$
oobbobooobbbobob$
obbbbbobobooobbo$
bbboobobooboobob$
bbobboobbooooobb!

EDIT 11: centipede 99:

Code: Select all

x = 16, y = 16, rule = B367/S3567
oobbbobbobobbboo$
ooobobbboobbbobo$
bboobbobbbbbboob$
bboobobobobooobo$
obbbobbbobbboboo$
bbbobobooobboooo$
obooobbbbobbbbob$
bobboboboboboobb$
ooboobbbbbobbbbb$
booobbbobboooooo$
bboooobobbbobboo$
bobobbbooooobooo$
bobbooooobbobobb$
boboboobbbbobboo$
booooboboooooooo$
oobbbboooooboboo!

EDIT 12: centipede 77:

Code: Select all

x = 16, y = 16, rule = B367/S3567
bboobooboobbobob$
obbbboobobobbbbo$
bbooobbobboboboo$
oobbobooooobbbbo$
boobbboobobboobb$
bobbbbbbbbobbooo$
bobbobboobbobobb$
oooooobbbooobbbb$
obbobbboooooboob$
bboooboboboooobb$
obobobooobobooob$
obbobbbbboboooob$
bbbbbooboooobboo$
obobobbbbboobbbb$
obbooboooooobboo$
obbooboobbbbbbbo!

[Apple Bottom]

After all the period-24 centipedes, here's an xq800 now:

Code: Select all

x = 16, y = 16, rule = B367/S3567
obooobbboobobobo$
ooboobobbboobobo$
oooobbobboobbbbb$
obooooboobooboob$
bboboobobobobobo$
oobbooboobbbbbbb$
bbboooooobbboooo$
bbboobooobobooob$
boobbbbbbbbboooo$
bobbbbbbbbobbbob$
bbobbooobboobobo$
bbooboobbboobobo$
oobbbobboobboboo$
boobbboobbbboooo$
boooooobbobboboo$
bobbooobooboobbo!

To my knowledge, this is also the highest period for any spaceship on Catagolue, ahead of Eppstein's 10356 (period 340), Eppstein's 20015 (period 300) and Eppstein's 3955 (period 182).

This new ship, FWIW, doesn't seem to be in Eppstein's database.

EDIT: centipede 107:

Code: Select all

x = 16, y = 16, rule = B367/S3567
ooobobbobbboooob$
oobobobbobbbobbb$
bbobbbobboobboob$
bboboobobooobobb$
oboboobbbbbbbooo$
bbobobbobbboboob$
bbobbboobobboooo$
booobobbooobobbo$
obooboboobbooooo$
boboobooooobbbob$
bbobobobbooooobb$
ooboobbbbboobbbo$
bobobbbobbboobbb$
obbboooooobboooo$
ooobooobbboooboo$
obbboobboooboobo!

EDIT 2: centipede 62:

Code: Select all

x = 16, y = 16, rule = B367/S3567
oobboooooooooooo$
bbobboobbobbbbob$
booobbbbooobooob$
oboboobooobbbobb$
bbboooobobbobobb$
obbbbooooobboboo$
oobbbbbbbboooboo$
bbbobooobobboooo$
obobbbbboboboobb$
bbooooobobbboooo$
bboobooobbbboooo$
obobbboboobbbboo$
bbbobobobbbbbbbb$
obbbobooobobbbbb$
bbboooboobooobob$
obbboooobbooobbo!

EDIT 3: the xq800 showed up a second time; also, centipede 114:

Code: Select all

x = 16, y = 16, rule = B367/S3567
ooooobbbobbbobbb$
bboobobooobooobb$
ooobbbbbooooobbo$
bobboooboobboobo$
oobbbooobooobobb$
oboobobbobobbbbb$
bboobbooobbbobob$
oobobboboobbbbbb$
oboobobbbbbbobbo$
oooobbbbbobboobo$
obbbbbobbbbboobb$
oooobboooobobbbo$
boobbbboobbboobb$
booboobobooboooo$
bbooobbooboobobb$
obobooboboooboob!

EDIT 4: centipede 109:

Code: Select all

x = 16, y = 16, rule = B367/S3567
boboobooobbbooob$
obbobooooobboobo$
booooobbbbbboooo$
obobobobobobbboo$
oobbboobbbboobbb$
oooboboobbobooob$
bbbbboobbboooboo$
bboobbobobboboob$
bbbbbbbobbbbboob$
bboooboobbbooooo$
bobooooobbboobbo$
booobboobbboobob$
obbobooooobobooo$
obooboobbooboooo$
boooobbboobooobb$
oboooooboobooboo!

EDIT 5: centipede 122:

Code: Select all

x = 16, y = 16, rule = B367/S3567
ooobbobooooboobb$
oooobboobbbbbobb$
boboboobboobbbbo$
oboooboooboboboo$
bbobobbbobbobbbo$
bbbbbobbbboooobb$
obbbbobbboboobbb$
bbobboooboobboob$
bbboobboobbobbbb$
oobooobbboobbbbb$
obbbboobboobbbbo$
obbbboobbbbbobbb$
obobbbooboooobob$
bobbbbobobbbbbbb$
oboobbobboobbooo$
oooobbooobobobbb!

EDIT 6: centipede 67:

Code: Select all

x = 16, y = 16, rule = B367/S3567
bbobobboobobbboo$
bbbobobboboobbob$
bbboobooobbobooo$
obooboobbbbobobo$
bbbooboobobboobb$
bobooobbbobobobo$
obooobbooobobobb$
ooooboobooobbbob$
bbbbooooboooboob$
ooobbbbbbooboboo$
bbbbbobbobobboob$
obobbobboooobobb$
bobobobobobooobb$
obooooooooobobob$
boobooobbobbbboo$
bbbbobbobooboobo!

[Apple Bottom]

I've started searching this rule again. Here's a new spaceship, centipede 104:

Code: Select all

x = 16, y = 16, rule = B367/S3567
obbbobbbbobobbob$
oobbooboboobbbob$
bbobbbobboboooob$
oooboooobbboobbo$
ooboobbboobobobb$
obboobbbbobboooo$
bobbbbbbboobbooo$
obooobbbbbbbbboo$
bboooooooboobboo$
ooooboobbboooobb$
obbbbboooboobbbo$
obobbbbooobbboob$
boooboobobobobob$
ooobbobbboobbobo$
ooobbooooboooobb$
ooboooobbooobboo!

EDIT: centipede 94:

Code: Select all

x = 16, y = 16, rule = B367/S3567
oooboooboobooobo$
oooboooboboobbob$
booboobbbboooobo$
obobboooooooobbb$
ooboooobbobboobb$
bbobbbooobbbbboo$
oobobboboobobooo$
bboobooobbbbbooo$
obboobbbbobboboo$
bobobobbbbbbobbo$
ooobbboobobbooob$
boobbbooobbboboo$
ooooobobobbobobb$
obbbobbobbbboboo$
boboooboboboobbb$
obobobbooooobobo!

[400spartans]

c/6 orthogonal, looks like a new speed.

Code: Select all

x = 13, y = 70, rule = B367/S3567
3b3ob3o$3b2obob2o$2b3obob3o$bo2b2ob2o2bo$3b3ob3o2$4bo3bo$5b3o$4bo3bo2$
3bobobobo$2b9o$b3ob3ob3o$b5ob5o$2bobo3bobo$3obo3bob3o$b4o3b4o$b2ob2ob
2ob2o$4ob3ob4o$b11o$3b3ob3o$2bob5obo$3b2obob2o2$b2o7b2o$b3o5b3o$2bo7bo
$2b3o3b3o2$6bo$2b9o$2b9o$3b2obob2o$2b9o$2b9o$4b5o$6bo$4bobobo$5bobo$5b
3o2$6bo$5b3o$4b2ob2o$5bobo$2b9o$3b3ob3o$3bob3obo$3bo5bo$b11o$6ob6o$4o
5b4o$b2o3bo3b2o$4b5o$3b7o$4b2ob2o$4b5o$2bobo3bobo$4o5b4o$b3o5b3o$b2o7b
2o$4o5b4o$3o7b3o$2bobo3bobo$b5ob5o$4b5o$2bob2ob2obo$5bobo$4bobobo$5b3o
!