For discussion of other cellular automata.

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 24th, 2016, 12:25 am
Component:
Code: Select all
x = 6, y = 4, rule = B3/S2i34q
4b2o$2o2bo$2o2bo$4b2o!
EDIT: Transparent caps:
Code: Select all
x = 11, y = 8, rule = B3/S2i34q
4b3o$5bo$b2o2bo2b2o$obo2bo2bobo$obo2bo2bobo$b2o2bo2b2o$5bo$4b3o!
EDIT 2:
Code: Select all
x = 47, y = 9, rule = B3/S2i34q
5b3o10b3o10b3o10b3o$6bo12bo12bo12bo2$41bo$b2o11b2o11b3o10bo$obo10bob2o
9bo12bobo$obo10bob2o9bo12bobo$b2o11b2o11b3o10bo$41bo!
EDIT 3: Lots of blocks!
Code: Select all
x = 6, y = 14, rule = B3/S2i34q
2bo$o3bo$5bo$o4bo$b5o5$b5o$o4bo$5bo$o3bo$2bo!
EDIT 4: Ok, a bit better:
Code: Select all
x = 22, y = 14, rule = B3/S2i34q
2bo$o3bo$5bo$o4bo9b4o$b5o9bo2bo$16b2o$12b2o6b2o$12b2o6b2o$16b2o$b5o9bo
2bo$o4bo9b4o$5bo$o3bo$2bo!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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Post
by A for awesome » September 24th, 2016, 2:47 pm
A 3engine ant gun:
Code: Select all
x = 19, y = 23, rule = B3/S2i34q
3bo$2b2o$3bobo$4bo4$18bo$18bo$18bo$17b2o$17b2o10$5o$3b2o!
Some 3engine guns that look like they might be good inserters:
Code: Select all
x = 28, y = 30, rule = B3/S2i34q
3bo$3bo$4bo2$o$2o5bo$bo4bob2o$o3b2ob2o$4b2o$6bo15b3o$4b2o16b3o$4bo1
8bo$25bo$19b2o5bo$18b3o5b2o$19bo6b2o$21b2o$21b3o$21b3o10$5o$3b2o!
Code: Select all
x = 27, y = 28, rule = B3/S2i34q
2o$2bo3b3o$2o2b2o3bo$7bobo$4b2obo15bo$6bo16bo$4b3o15bo$4b2o$26bo$19
bo5b2o$17b2obo4bo$18b2ob2o3bo$21b2o$20bo$21b2o$22bo11$6b5o$9b2o!
Code: Select all
x = 25, y = 28, rule = B3/S2i34q
9bob2o$10b2o2$15b2o$5b2ob2o4bo$6bob2o$7bo2bo$9bobo8b2o$9b2o8b3o$10b
o7bo$15b2o$15b3o5b2o$15b2o5b3o$22b3o$19b2o$19b3o$20bo10$5o$3b2o!
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

muzik
 Posts: 3504
 Joined: January 28th, 2016, 2:47 pm
 Location: Scotland
Post
by muzik » September 24th, 2016, 2:55 pm
Are there guns for any of the bigger ships that do not involve syntheses using the three basic photons?

A for awesome
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by A for awesome » September 24th, 2016, 2:59 pm
muzik wrote:Are there guns for any of the bigger ships that do not involve syntheses using the three basic photons?
None known yet, although it seems like one might be possible, although hard to explicitly construct, for the 2c/6.
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

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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Post
by A for awesome » September 24th, 2016, 4:31 pm
What I think is the longestlived pattern in a 4x4 box (574 gens, I think there are other predecessors to the same gen 1, but I'm not sure):
Code: Select all
x = 4, y = 4, rule = B3/S2i34q
2obo$ob2o$b2o$bo!
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

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 24th, 2016, 5:33 pm
Dang...
Code: Select all
x = 4, y = 11, rule = B3/S2i34q
2b2o$b3o$2obo$bobo$2b2o2$2b2o$bobo$2obo$b3o$2b2o!
EDIT: Dang...
Code: Select all
x = 5, y = 5, rule = B3/S2i34q
b2o$ob2o$2o2bo$bo2bo$2b3o!
EDIT 2: Dang...
Code: Select all
x = 14, y = 14, rule = B3/S2i34q
b2o8b2o$ob2o6b2obo$2o2bo4bo2b2o$bo2bo4bo2bo$2b3o4b3o5$2b3o4b3o$bo2bo4b
o2bo$2o2bo4bo2b2o$ob2o6b2obo$b2o8b2o!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

BlinkerSpawn
 Posts: 1907
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Post
by BlinkerSpawn » September 24th, 2016, 8:43 pm
A for awesome wrote:What I think is the longestlived pattern in a 4x4 box (574 gens, I think there are other predecessors to the same gen 1, but I'm not sure):
Code: Select all
x = 4, y = 4, rule = B3/S2i34q
2obo$ob2o$b2o$bo!
Yes.
Code: Select all
x = 4, y = 4, rule = B3/S2i34q
2obo$ob2o$bo$b2o!

BlinkerSpawn
 Posts: 1907
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Post
by BlinkerSpawn » September 24th, 2016, 9:52 pm
A for awesome wrote:BlinkerSpawn wrote:BlinkerSpawn, on January 12th wrote:Managed to finally synthesize the weird 23bitter from 13G:
Code: Select all
x = 21, y = 17, rule = tlife
6b2o$6b2o$16bo$15bo$5bo9b3o$4bobo$5bobo$6b2o2$12b2o$12bobo3b3o$12bo5bo
$7b2o10bo$6bo2bo$b2o4b2o4b2o$obo10bobo$2bo10bo!
I totally forgot about that, sorry. The predecessor in the soup seems like it could possibly reduce that synthesis, though.
And it indeed does, after looking in M. I. Wright's backwardsGplusT collision table:
Code: Select all
x = 34, y = 36, rule = B3/S2i34q
obo$b2o$bo14$10bo$8bobo$9b2o3$25b2o$25b3o$25b2o2$24bo$22bobo$12b2o9b2o
$11bobo$13bo3$31bo$30bobo$30bo2bo$31b2o!
On an unrelated note, is there any way to assemble this loop predecessor?
Code: Select all
x = 16, y = 10, rule = B3/S2i34q
15bo$13b2o$13b3o$12b3o$6bo4bobo$5bobo2bo2bo$bo2bo3bo2b2o$obo2bobo$b2o$
bo!

A for awesome
 Posts: 1902
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by A for awesome » September 24th, 2016, 10:23 pm
BlinkerSpawn wrote:after looking in M. I. Wright's backwardsGplusT collision table
Just so you know, I
sorted those a while back, in case that's at all useful.
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

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 25th, 2016, 5:48 pm
Stupid things to do with barges:
Code: Select all
x = 27, y = 7, rule = B3/S2i34q
24b3o$3bo19bo2bo$bo19bo4bo$obo2bo14bobo2bo$bobo17bobo$2bobo17bobo$3bo
19bo!
Longest lasting 4x4?
Code: Select all
x = 4, y = 4, rule = B3/S2i34q
3o$o2bo$o2bo$3bo!
EDIT: 4x5 DIEHARD!!
Code: Select all
x = 4, y = 5, rule = B3/S2i34q
3o$o2bo$o2bo$3bo$3o!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 25th, 2016, 5:52 pm
Sorry for doubleposting.
Here's a partial. Look at the ash, though.
Code: Select all
x = 4, y = 5, rule = B3/S2i34q
3o$o2bo$2b2o$o2bo$3o!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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Post
by A for awesome » September 25th, 2016, 5:59 pm
Hdjensofjfnen wrote:Longest lasting 4x4?
I just posted a much longerlasting 4x4 above. Scroll up.
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

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 25th, 2016, 9:51 pm
A for awesome wrote:Hdjensofjfnen wrote:Longest lasting 4x4?
I just posted a much longerlasting 4x4 above. Scroll up.
Is there an apgsearch page for tlife?
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

Contact:
Post
by A for awesome » September 25th, 2016, 10:07 pm
Hdjensofjfnen wrote:Is there an apgsearch page for tlife?
Yes.
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

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 25th, 2016, 10:16 pm
Another stupid barge reaction:
Code: Select all
x = 9, y = 9, rule = B3/S2i34q
5bo$4bobo$5bobo$3bo2bobo$bo5bo$obo2bo$bobo2bo$2bobo$3bo!
EDIT: Tub eats two prebeehives:
Code: Select all
x = 7, y = 7, rule = B3/S2i34q
5b2o$2bo2b2o$bobob2o$2bo2$3o$3o!
EDIT 2: Almost 180 degrees:
Code: Select all
x = 6, y = 14, rule = B3/S2i34q
3o$bo10$3b2o$2bo2bo$3b2o!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 25th, 2016, 10:38 pm
A "crawling" diehard:
Code: Select all
x = 18, y = 18, rule = B3/S2i34q
11bo$10bo$10b3o6$o$2o$o5$15b3o$15bo$16bo!
EDIT: The front looks promising...
Code: Select all
x = 7, y = 5, rule = B3/S2i34q
3bo$2bobo$bobobo$obobobo$bobobo!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » September 27th, 2016, 9:35 pm
Releases an ant:
Code: Select all
x = 13, y = 13, rule = B3/S2i34q
o$2o$b2o6$11bo$6b2o3b2o$5bobo$5bobo$6bo!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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Post
by A for awesome » September 28th, 2016, 7:41 pm
A few syntheses and components:
Code: Select all
x = 74, y = 45, rule = tlife
40bo$40bobo6bo$29bo10b2o5b2o$28bo19b2o$12bobo13b3o8bo21bo10bo$6bo5b2o
9bo15bo5bo15bo5bo3bo$5b3o5bo8b3o13b3o2b2o5bo9b3o2b2o4b3o$5b3o14b3o19b
2o2b2o16b2o$10b3o14b3o19b2o$10bo16bo42b3o$3bob2o4bo8bob2o4bo7bob2o18bo
b2o8bo$b3ob2o11b3ob2o10b3ob2o6b2o8b3ob2o9bo$o3bo12bo3bo4b2o5bo3bo7b2o
8bo3bo6b3o$obobo12bobobo3bobo5bobobo9bo7bobobo7bo$bobo14bobo6bo6bobo
19bobo8bo$2bo16bo15bo21bo$28bo$28bobo$28b2o3$22bobo$6bo5bo10b2o$4bobo
5bobo8bo$5b2o5b2o2$5bo7bo10bob2ob2obo$5b3o3b3o5bo4b2obobob2o$8bobo9b2o
5bobo$5b3o3b3o5b2o3b3o3b3o$5bo7bo10bo7bo3$20bo3b2o5b2o$18bobo3bobo3bob
o4bo$19b2o4bobobobo4b2o$26bo3bo5bobo$21b3o$23bo6b2o$22bo7bobo$30bo2$
21b2o$22b2o$21bo!
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

BlinkerSpawn
 Posts: 1907
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Post
by BlinkerSpawn » September 28th, 2016, 9:37 pm
In case you're not aware, the standard method of making sidewalks works too.

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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by A for awesome » September 28th, 2016, 10:30 pm
BlinkerSpawn wrote:In case you're not aware, the standard method of making sidewalks works too.
Oops. Sorry.
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

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » October 5th, 2016, 10:05 pm
Done by accident:
Code: Select all
x = 14, y = 4, rule = B3/S2i34q
3bo6bo$4bo4bo$o3bo4bo3bo$b4o4b4o!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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Post
by A for awesome » October 7th, 2016, 8:39 am
Some possiblysynthesizable quadpole predecessors:
Code: Select all
x = 7, y = 7, rule = B3/S2i34q
2o$o3bo$b3o2$3b3o$2bo3bo$5b2o!
Code: Select all
x = 7, y = 7, rule = B3/S2i34q
2obo$o3bo$b3o2$3b3o$2bo3bo$3bob2o!
Code: Select all
x = 7, y = 7, rule = B3/S2i34q
2o2bo$o3bo$b3o2$3b3o$2bo3bo$2bo2b2o!
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

toroidalet
 Posts: 1019
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by toroidalet » October 8th, 2016, 8:57 pm
Hdjensofjfnen wrote:
EDIT: The front looks promising...
Code: Select all
x = 7, y = 5, rule = B3/S2i34q
3bo$2bobo$bobobo$obobobo$bobobo!
It seems to be similar to the front end of the p2 ship, which is shown in comparison with generation 5 of your pattern.
Code: Select all
x = 19, y = 8, rule = B3/S2i34q
3bo10bo$b2ob2o6b2ob2o$b2ob2o6b2ob2o$bo3bo5bobobobo$2o3b2o3bo7bo$13bobo
$13b3o$13b3o!
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."
Terry Pratchett

Hdjensofjfnen
 Posts: 1338
 Joined: March 15th, 2016, 6:41 pm
 Location: r cis θ
Post
by Hdjensofjfnen » October 10th, 2016, 8:15 pm
Stupid reaction:
Code: Select all
x = 12, y = 10, rule = B3/S2i34q
bo$2bo$3o5$9b2o$9bobo$10b2o!
"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/S2i3y4i
4b3o$6bo$o3b3o$2o$bo!

A for awesome
 Posts: 1902
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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Post
by A for awesome » October 12th, 2016, 4:20 pm
Three variants of the same StoB:
Code: Select all
x = 74, y = 25, rule = TLifeHistory
17.2C25.2C26.2C$7.B9.C16.B9.C17.B9.C$6.3B5.BC.C15.3B5.BC.C16.3B5.BC.C
$5.8B.B2C15.8B.B2C16.8B.B2C$4.11B16.11B17.11B$5.10B17.10B18.10B$4.11B
16.11B17.11B$4.10B17.10B18.10B$5.10B17.10B18.10B$4.12B.B13.12B.B14.
12B.B$3.14B2C11.14B2C12.14B2C$3.12B.B2C4.2C5.12B.B2C12.12B.B2C$2.12B
3.B6.C4.12B3.B12.12B3.B$2.13B9.C.CB.13B9.2C4.13B$2.12B11.2CB.12B9.BC.
C2B.12B$.C13B12.15B8.2B2C16B$CBC3BC8B12.6BC8B6.2C11BC8B$CBC3B2C6B13.
6B2C6B6.C.CB4.6B2C6B$.C3BC2BC2DBDB14.4BC2BC2DBDB6.C8.4BC2BC2DBDB$4.3B
C2B3D2B16.3BC2B3D2B4.2C11.3BC2B3D2B$4.7BD2B17.7BD2B18.7BD2B$6.8B19.8B
20.8B$7.6B21.6B22.6B$8.5B22.5B23.5B$9.3B24.3B25.3B!
The only differences are in the lower left catalysts, which should be useful in different situations.
A slightly different one:
Code: Select all
x = 25, y = 27, rule = TLifeHistory
12.B$9.5B2.6B$8.15B.B$9.15B2C$8.14B.B2C$8.14B2.B$9.13B$8.14B$7.15B$2C5.
15B$.C4.16B.B$.C.CB.17B2C$2.2CB.17B2C$4.17B.2B$4.6BC10B$4.6B2C8B$5.4B
C2BC7B$8.3BC7B$8.10B$10.8B$11.7B$12.7B$13.5B$13.5B$13.2DBDB$14.3D$15.
D!
These may or may not be useful at all.
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