2x2

For discussion of other cellular automata.
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velcrorex
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Re: 2x2

Post by velcrorex » November 5th, 2015, 5:44 pm

Spaceships!
c/6, 2c/6 and 2c/4

Code: Select all

x = 99, y = 58, rule = B36/S125
40bo6bo33bo6bo$39bo3b2o3bo29b2o10b2o$35b2o4bob2obo4b2o25b2o10b2o$35bo
2bo2b2o2b2o2bo2bo$38bob2o4b2obo21bobo5bobo6bobo5bobo$36b2o2bo2b2o2bo2b
2o26bo4bo2bo4bo$38bo10bo30bo2bo2bo2bo$72bo7bo2bo2bo2bo7bo$36bo2bo8bo2b
o19bo2bo5b2obo2bob2o5bo2bo$36b5o6b5o21b2o5b3o4b3o5b2o$39b2o6b2o24bo5b
3o6b3o5bo$39bo8bo23b2o5bo10bo5b2o$40bobo2bobo24b2o5b4o4b4o5b2o$40b3o2b
3o25bo22bo$73b2o5b4o2b4o5b2o$73b3o5bobo2bobo5b3o$41bo4bo26bobobo5bo2bo
5bobobo$40bo6bo26b3o5b2o2b2o5b3o$4b2o3b2o28bo2bo2bo2bo26b2o3bo8bo3b2o$
bob3o3b3obo25bo2bo2bo2bo26bo5b2o4b2o5bo$4bo5bo30bo4bo25b2o2bo16bo2b2o$
2b2o7b2o59bo2b3obobo6bobob3o2bo$2bo9bo27b3o2b3o23bo2bo2b2o3bo4bo3b2o2b
o2bo$4bo5bo29bo6bo24bo5bobo8bobo5bo$2bo3b3o3bo27bo6bo32bo8bo$2bobob3ob
obo24bob3o4b3obo21bo9bo4bo9bo$7bo30bo10bo21bo2bo7b2o2b2o7bo2bo$7bo65b
2o3b2o2bo4bo2b2o3b2o$7bo30b4o4b4o23bob5o3bo2bo3b5obo$3bobo3bobo25b2o2b
o4bo2b2o21b2o6b2o6b2o6b2o$6b3o27b3o10b3o20b2obo5bob4obo5bob2o$3bo7bo
25b3obo4bob3o20bo11b4o11bo$5bo3bo26b2o12b2o19b2o24b2o$5bo3bo25bo3bobo
4bobo3bo19b2o2b2o14b2o2b2o$bo3bo3bo3bo22bob2obo4bob2obo23bobo14bobo$bo
11bo24b2o8b2o21bo4bo5bo4bo5bo4bo$2bo9bo25b3o6b3o22b3o6b3o2b3o6b3o$3bob
o3bobo27b2o6b2o27b2o2bo2bo2bo2bo2b2o$6bobo30b2o6b2o26b3o2bo2b4o2bo2b3o
$5bo3bo29bo8bo27b3ob2o6b2ob3o$4bobobobo27b2o8b2o27b3obo6bob3o$3bo2bobo
2bo28bo6bo30b6o2b6o$2bo9bo25bobo6bobo31bo2b2o2bo$2bo9bo26bo8bo33b2o2b
2o$2bo2bo3bo2bo59bo3bo16bo3bo$37bo12bo20bo7bo3bo2bo3bo7bo$o3bo5bo3bo
21bo2bo8bo2bo19b2o6bo4b2o4bo6b2o$bobo7bobo22bobo10bobo20b2o3bob12obo3b
2o$2bo4bo4bo23bo2b3o4b3o2bo21bobob6o4b6obobo$2b3obobob3o25b2o2bo2bo2b
2o26b2ob4o4b4ob2o$b2o3bobo3b2o24b4o4b4o25bob3o10b3obo$2bo3bobo3bo26b3o
4b3o28b3o3bo2bo3b3o$obo2bobobo2bobo58b3obo14bob3o$bo3bobobo3bo25bo8bo
24b2obob3o8b3obob2o$40b2o4b2o26b2o6b6o6b2o$6b3o33b4o29bo3b2o2b4o2b2o3b
o$7bo32bo2b2o2bo29b3o10b3o$5b2ob2o31b2o2b2o!
-Josh Ball.

Bullet51
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Re: 2x2

Post by Bullet51 » November 6th, 2015, 4:48 am

velcrorex wrote:Spaceships!
c/6, 2c/6 and 2c/4

Code: Select all

code
Nice! I believe it's new.
Still drifting.

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A for awesome
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Re: 2x2

Post by A for awesome » May 13th, 2016, 2:56 pm

I think this is a new p14 hassler:

Code: Select all

x = 32, y = 32, rule = B36/S125
oobbooobboboobobboboobobbooobboo$
bobbbbobbbbobbbbbbbbobbbbobbbbob$
bobbooooooooobobbobooooooooobbob$
bbobboooooooobboobboooooooobbobb$
obboooobooobbobbbbobboooboooobbo$
booobboobobbooobbooobboboobbooob$
bobbbboobobbobboobbobboboobbbbob$
bbobooboobbbooobbooobbbooboobobb$
obbbbobobbboobooooboobbbobobbbbo$
ooobboooobobobbbbbboboboooobbooo$
bbboobobbbobobobbobobobbboboobbb$
bobbobboobobbboooobbboboobbobbob$
ooobboobbbboobooooboobbbboobbooo$
ooooobooooboooobbooooboooobooooo$
bobobobbooboboobbooboboobbobobob$
ooobboooobboooooooooobboooobbooo$
ooobboooobboooooooooobboooobbooo$
bobobobbooboboobbooboboobbobobob$
ooooobooooboooobbooooboooobooooo$
ooobboobbbboobooooboobbbboobbooo$
bobbobboobobbboooobbboboobbobbob$
bbboobobbbobobobbobobobbboboobbb$
ooobboooobobobbbbbboboboooobbooo$
obbbbobobbboobooooboobbbobobbbbo$
bbobooboobbbooobbooobbbooboobobb$
bobbbboobobbobboobbobboboobbbbob$
booobboobobbooobbooobboboobbooob$
obboooobooobbobbbbobboooboooobbo$
bbobboooooooobboobboooooooobbobb$
bobbooooooooobobbobooooooooobbob$
bobbbbobbbbobbbbbbbbobbbbobbbbob$
oobbooobboboobobboboobobbooobboo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Lewis
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Re: 2x2

Post by Lewis » May 14th, 2016, 3:29 am

A for awesome wrote:I think this is a new p14 hassler:
It can also be supported by two copies of another P14 oscillator:

Code: Select all

x = 12, y = 20, rule = B36/S125
11bo$10bo2$7bo$7bobo$10bo2$2bo$3bo$ob2o$ob2o$3bo$2bo2$10bo$7bobo$7bo2$
10bo$11bo!

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A for awesome
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Re: 2x2

Post by A for awesome » September 10th, 2016, 5:07 pm

Probably not too noteworthy, but 9-cell 1848-gen methuselah:

Code: Select all

x = 6, y = 7, rule = B36/S125
2bo$bo2$2b2o$5bo$o4bo$b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: 2x2

Post by A for awesome » September 15th, 2016, 10:08 pm

2c/5 pseudo-wickstretcher:

Code: Select all

x = 14, y = 67, rule = B36/S125
6b2o$5b4o$4b6o$6b2o$2bobob2obobo$3b2ob2ob2o$b2o8b2o$b2obo4bob2o$4bo
4bo$6b2o$2bo2b4o2bo$2b2o6b2o$3bobo2bobo$4o6b4o$bo10bo$o12bo$2bo8bo$
2b2o6b2o$2bo8bo$4bo4bo$bo2bo4bo2bo$obo8bobo$b2ob2o2b2ob2o$4b6o$3o3b
2o3b3o$2bob6obo$bo3bo2bo3bo$2bo3b2o3bo$bob8obo$bo10bo$o12bo$3bo6bo$
2b2o6b2o$2bo8bo$3b8o2$4bo4bo$4bob2obo$3bo2b2o2bo$3bo2b2o2bo$2bo8bo$
bo10bo$bobo2b2o2bobo$obob6obobo$o2bo6bo2bo$o2b2o4b2o2bo$b2ob2o2b2ob
2o$5bo2bo$5b4o$3b2o4b2o3$2bobob2obobo$5bo2bo$5bo2bo$5bo2bo$2b2o2b2o
2b2o$2bo3b2o3bo$2bo8bo$2o3b4o3b2o$3bob4obo$5bo2bo$4bo4bo$bo3bo2bo3b
o$4b2o2b2o2$4b2o2b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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A for awesome
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Re: 2x2

Post by A for awesome » September 24th, 2016, 3:50 pm

The longest-lived patterns within a 4x4 bounding box (1157 gens each):

Code: Select all

x = 4, y = 4, rule = B36/S125
b3o$3o$3bo$o!

Code: Select all

x = 4, y = 4, rule = B36/S125
3bo$2o$2b2o$3o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: 2x2

Post by Prokaryotic Life » December 6th, 2016, 12:09 am

This is a 9 cell methuselah of an acorn interacting with a domino. It has a large bounding box but in terms of # of cells it's small for its lifespan.

Code: Select all

x = 10, y = 4, rule = B36/S125
bbbbo$bbbbbbo$bbboobbooo$$$$oo
And another that is a 5 cell methuselah interacting with two dominoes, lasting 2293 generations.

Code: Select all

x = 9, 13, rule = B36/S125
bbbbbbboo$$$$$$bbbo$bbbbobo$bbbbbbbo$bbbbbbbo$$$oo

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Mr. Missed Her
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Re: 2x2

Post by Mr. Missed Her » February 21st, 2017, 2:27 pm

The wiki indicates that a 2x2 universe that consists entirely of 2x2 blocks is permanently made up of 2x2 blocks. So, it seems like blocks are unit cells of period 2 in 2x2. If so, what rule do they simulate?
There is life on Mars. We put it there with not-completely-sterilized rovers.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.

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Apple Bottom
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Re: 2x2

Post by Apple Bottom » February 21st, 2017, 2:48 pm

Mr. Missed Her wrote:The wiki indicates that a 2x2 universe that consists entirely of 2x2 blocks is permanently made up of 2x2 blocks. So, it seems like blocks are unit cells of period 2 in 2x2. If so, what rule do they simulate?
The answer is on the wiki as well. (Eppstein answers the same question here, and also does the same for various other rules that share this property with B36/S125.)

Note that the emulated automaton does not use the Moore neighborhood -- so it's not simply "Bx/Sy" for some given x and y.
If you speak, your speech must be better than your silence would have been. — Arabian proverb

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A for awesome
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Re: 2x2

Post by A for awesome » December 22nd, 2017, 6:26 pm

2 new (?) c/5s:

Code: Select all

x = 32, y = 62, rule = B36/S125
o13bo7bo3bo$b2o9b2o6bo2bobo2bo$2bobo5bobo9bobobo$5o5b5o3bo11bo$3bobo3b
obo7bobo5bobo$4bobobobo9bo3bo3bo$3b4ob4o5bobobo2bo2bobobo$17bo3bob3obo
3bo$2b5ob5o5b2o2b2ob2o2b2o$4bo5bo12bobo$4b2o3b2o9bo2bobo2bo$7bo12b2o5b
2o$7bo13bo5bo$3bo3bo3bo8b2o5b2o$bo2b3ob3o2bo$2b2obo3bob2o6bo9bo$2bo3bo
bo3bo4b2o2bo5bo2b2o$21b2o3b2o$2bob2o3b2obo7bob2ob2obo$3bobo3bobo7b2obo
3bob2o$2bo2bo3bo2bo8b2o3b2o$2b2o7b2o8b2o3b2o$bo11bo$o3bo5bo3bo6b2o3b2o
$3bob2ob2obo10bo3bo$2bo2bo3bo2bo10bobo$bobobo3bobobo6b4ob4o$22bobobo$
3bo2bobo2bo8bo2b3o2bo$5bo3bo12b5o$6bobo15bo$5b5o13b3o$5b5o10bo2bobo2bo
$4bo5bo8bobo5bobo$3b2o5b2o6bo3b5o3bo$7bo9b2ob3obob3ob2o$5bo3bo8b3o3bo
3b3o$6b3o9bobo7bobo$19bobo5bobo$5b5o10bo7bo$4bobobobo10b7o$5b5o14bo$5b
5o10bobobobobo$20b2o5b2o2$22bobobo$6bobo13bo3bo$2bo2bo3bo2bo9bo3bo$bo
11bo7bob3obo$bo4bobo4bo4b3o7b3o$3b3o3b3o8bo7bo$4bobobobo7b5o3b5o$20bo
7bo$21b2o3b2o$23bobo$22b2ob2o$24bo$22b5o$19bo9bo$18bobobo3bobobo$21b3o
b3o$22b2ob2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: 2x2

Post by A for awesome » February 11th, 2018, 12:36 pm

What seems to be a new small p3:

Code: Select all

x = 9, y = 7, rule = B36/S125
6bobo$6bobo$2o2bobo$o2bo2bo$2bobo$4bobo$4bobo!
Found with dr.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Apple Bottom
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Re: 2x2

Post by Apple Bottom » February 18th, 2018, 3:17 pm

Has the 2x2 wiki moved? Wikia claims it doesn't exist anymore.
If you speak, your speech must be better than your silence would have been. — Arabian proverb

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dani
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Re: 2x2

Post by dani » February 18th, 2018, 3:27 pm

Apple Bottom wrote:Has the 2x2 wiki moved? Wikia claims it doesn't exist anymore.
It probably got removed due to inactivity, considering I was most likely the one who made it.
moose#0915

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A for awesome
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Re: 2x2

Post by A for awesome » November 4th, 2019, 5:25 pm

A c/4d wickstretcher:

Code: Select all

x = 29, y = 27, rule = B36/S125
2bo2bo$3bobobo$2o3b3o$2bob2o4bo$6bo4bo$3b3o4bobo$4b2o2bob3o$3bo3bo2b3o
$3bob3o2bo2bobo$4b3ob2obob3o$6bo3bob3o$13b2o$14bobo$10bo$9bo2bob3o$10b
obo3bo$17bo$11bo3bob2o$11b2o2bo5b3o$14bo4bobo2bo$16b2obobo3bo$17b3o3b
2o$17bo5bo$22bob2o$18bobo3b2o$27bo$28bo!
Unrelated: are there any currently-accessible pattern collections for this rule that aren't already posted in this thread? Eppstein's glider database has been down for ages, and although there are supposedly more spaceships in this rule than the ones listed there, I have no idea where to find them (or practically anything else known in this rule for that matter, again apart from what's been posted on this thread).
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: 2x2

Post by Hdjensofjfnen » December 20th, 2019, 1:54 am

A for awesome wrote:
September 15th, 2016, 10:08 pm
2c/5 pseudo-wickstretcher:

Code: Select all

x = 14, y = 67, rule = B36/S125
6b2o$5b4o$4b6o$6b2o$2bobob2obobo$3b2ob2ob2o$b2o8b2o$b2obo4bob2o$4bo
4bo$6b2o$2bo2b4o2bo$2b2o6b2o$3bobo2bobo$4o6b4o$bo10bo$o12bo$2bo8bo$
2b2o6b2o$2bo8bo$4bo4bo$bo2bo4bo2bo$obo8bobo$b2ob2o2b2ob2o$4b6o$3o3b
2o3b3o$2bob6obo$bo3bo2bo3bo$2bo3b2o3bo$bob8obo$bo10bo$o12bo$3bo6bo$
2b2o6b2o$2bo8bo$3b8o2$4bo4bo$4bob2obo$3bo2b2o2bo$3bo2b2o2bo$2bo8bo$
bo10bo$bobo2b2o2bobo$obob6obobo$o2bo6bo2bo$o2b2o4b2o2bo$b2ob2o2b2ob
2o$5bo2bo$5b4o$3b2o4b2o3$2bobob2obobo$5bo2bo$5bo2bo$5bo2bo$2b2o2b2o
2b2o$2bo3b2o3bo$2bo8bo$2o3b4o3b2o$3bob4obo$5bo2bo$4bo4bo$bo3bo2bo3b
o$4b2o2b2o2$4b2o2b2o!
Is this smaller one already known?

Code: Select all

x = 14, y = 65, rule = B36/S125
6b2o$5b4o$4b6o$6b2o$2bobob2obobo$3b2ob2ob2o$b2o8b2o$b2obo4bob2o$4bo4b
o$6b2o$2bo2b4o2bo$2b2o6b2o$3bobo2bobo$4o6b4o$bo10bo$o12bo$2bo8bo$2b2o
6b2o$2bo8bo$4bo4bo$bo2bo4bo2bo$obo8bobo$b2ob2o2b2ob2o$4b6o$3o3b2o3b3o
$2bob6obo$bo3bo2bo3bo$2bo3b2o3bo$bob8obo$bo10bo$o12bo$3bo6bo$2b2o6b2o
$2bo8bo$3b8o2$4bo4bo$4bob2obo$3bo2b2o2bo$3bo2b2o2bo$2bo8bo$bo10bo$bob
o2b2o2bobo$obob6obobo$o2bo6bo2bo$o2b2o4b2o2bo$b2ob2o2b2ob2o$5bo2bo$6b
2o2$6b2o2$6b2o2$6b2o2$6b2o2$6b2o2$6b2o2$6b2o2$6b2o!

"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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