## tlife (B3/S2-i34q)

For discussion of other cellular automata.
Hdjensofjfnen
Posts: 1338
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Location: r cis θ

### Re: tlife (B3/S2-i34q)

Component:

Code: Select all

x = 6, y = 4, rule = B3/S2-i34q
4b2o$2o2bo$2o2bo$4b2o!  EDIT: Transparent caps: Code: Select all x = 11, y = 8, rule = B3/S2-i34q 4b3o$5bo$b2o2bo2b2o$obo2bo2bobo$obo2bo2bobo$b2o2bo2b2o$5bo$4b3o!

EDIT 2:

Code: Select all

x = 47, y = 9, rule = B3/S2-i34q
5b3o10b3o10b3o10b3o$6bo12bo12bo12bo2$41bo$b2o11b2o11b3o10bo$obo10bob2o
9bo12bobo$obo10bob2o9bo12bobo$b2o11b2o11b3o10bo$41bo!  EDIT 3: Lots of blocks! Code: Select all x = 6, y = 14, rule = B3/S2-i34q 2bo$o3bo$5bo$o4bo$b5o5$b5o$o4bo$5bo$o3bo$2bo!

EDIT 4: Ok, a bit better:

Code: Select all

x = 22, y = 14, rule = B3/S2-i34q
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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife (B3/S2-i34q) A 3-engine ant gun: Code: Select all x = 19, y = 23, rule = B3/S2-i34q 3bo$2b2o$3bobo$4bo4$18bo$18bo$18bo$17b2o$17b2o10$5o$3b2o!  Some 3-engine guns that look like they might be good inserters: Code: Select all x = 28, y = 30, rule = B3/S2-i34q 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/S2-i34q
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/S2-i34q 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

### Re: tlife (B3/S2-i34q)

Are there guns for any of the bigger ships that do not involve syntheses using the three basic photons?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

A for awesome
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Contact:

### Re: tlife (B3/S2-i34q)

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: 0x-1
Contact:

### Re: tlife (B3/S2-i34q)

What I think is the longest-lived 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/S2-i34q
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 ### Re: tlife (B3/S2-i34q) Dang... Code: Select all x = 4, y = 11, rule = B3/S2-i34q 2b2o$b3o$2obo$bobo$2b2o2$2b2o$bobo$2obo$b3o$2b2o!

EDIT: Dang...

Code: Select all

x = 5, y = 5, rule = B3/S2-i34q
b2o$ob2o$2o2bo$bo2bo$2b3o!

EDIT 2: Dang...

Code: Select all

x = 14, y = 14, rule = B3/S2-i34q
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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  BlinkerSpawn Posts: 1907 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife (B3/S2-i34q) A for awesome wrote:What I think is the longest-lived 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/S2-i34q 2obo$ob2o$b2o$bo!
Yes.

Code: Select all

x = 4, y = 4, rule = B3/S2-i34q
2obo$ob2o$bo$b2o!  LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1907 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: tlife A for awesome wrote: BlinkerSpawn wrote: BlinkerSpawn, on January 12th wrote:Managed to finally synthesize the weird 23-bitter 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 backwards-G-plus-T collision table:

Code: Select all

x = 34, y = 36, rule = B3/S2-i34q
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/S2-i34q 15bo$13b2o$13b3o$12b3o$6bo4bobo$5bobo2bo2bo$bo2bo3bo2b2o$obo2bobo$b2o$
bo!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

A for awesome
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### Re: tlife

BlinkerSpawn wrote:after looking in M. I. Wright's backwards-G-plus-T 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

### Re: tlife (B3/S2-i34q)

Stupid things to do with barges:

Code: Select all

x = 27, y = 7, rule = B3/S2-i34q
24b3o$3bo19bo2bo$bo19bo4bo$obo2bo14bobo2bo$bobo17bobo$2bobo17bobo$3bo
19bo!

Longest lasting 4x4?

Code: Select all

x = 4, y = 4, rule = B3/S2-i34q
3o$o2bo$o2bo$3bo!  EDIT: 4x5 DIEHARD!! Code: Select all x = 4, y = 5, rule = B3/S2-i34q 3o$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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  Hdjensofjfnen Posts: 1338 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: tlife (B3/S2-i34q) Sorry for double-posting. Here's a partial. Look at the ash, though. Code: Select all x = 4, y = 5, rule = B3/S2-i34q 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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife (B3/S2-i34q) Hdjensofjfnen wrote:Longest lasting 4x4? Code: Select all RLE I just posted a much longer-lasting 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 ### Re: tlife (B3/S2-i34q) A for awesome wrote: Hdjensofjfnen wrote:Longest lasting 4x4? Code: Select all RLE I just posted a much longer-lasting 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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife (B3/S2-i34q) 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 ### Re: tlife (B3/S2-i34q) Another stupid barge reaction: Code: Select all x = 9, y = 9, rule = B3/S2-i34q 5bo$4bobo$5bobo$3bo2bobo$bo5bo$obo2bo$bobo2bo$2bobo$3bo!  EDIT: Tub eats two pre-beehives: Code: Select all x = 7, y = 7, rule = B3/S2-i34q 5b2o$2bo2b2o$bobob2o$2bo2$3o$3o!

EDIT 2: Almost 180 degrees:

Code: Select all

x = 6, y = 14, rule = B3/S2-i34q
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/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!


Hdjensofjfnen
Posts: 1338
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: tlife (B3/S2-i34q)

A "crawling" diehard:

Code: Select all

x = 18, y = 18, rule = B3/S2-i34q
11bo$10bo$10b3o6$o$2o$o5$15b3o$15bo$16bo!

EDIT: The front looks promising...

Code: Select all

x = 7, y = 5, rule = B3/S2-i34q
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/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!


Hdjensofjfnen
Posts: 1338
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: tlife (B3/S2-i34q)

Releases an ant:

Code: Select all

x = 13, y = 13, rule = B3/S2-i34q
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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife (B3/S2-i34q) 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 R-Bee's ### Re: tlife (B3/S2-i34q) In case you're not aware, the standard method of making sidewalks works too. LifeWiki: Like Wikipedia but with more spaceships. [citation needed] A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife (B3/S2-i34q) 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 ### Re: tlife (B3/S2-i34q) Done by accident: Code: Select all x = 14, y = 4, rule = B3/S2-i34q 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/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!


A for awesome
Posts: 1902
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

### Re: tlife (B3/S2-i34q)

Code: Select all

x = 7, y = 7, rule = B3/S2-i34q
2o$o3bo$b3o2$3b3o$2bo3bo$5b2o! Code: Select all x = 7, y = 7, rule = B3/S2-i34q 2obo$o3bo$b3o2$3b3o$2bo3bo$3bob2o!

Code: Select all

x = 7, y = 7, rule = B3/S2-i34q
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 Joined: August 7th, 2016, 1:48 pm Location: my computer Contact: ### Re: tlife (B3/S2-i34q) Hdjensofjfnen wrote: EDIT: The front looks promising... Code: Select all x = 7, y = 5, rule = B3/S2-i34q 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/S2-i34q 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

### Re: tlife (B3/S2-i34q)

Stupid reaction:

Code: Select all

x = 12, y = 10, rule = B3/S2-i34q
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/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  A for awesome Posts: 1902 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: tlife (B3/S2-i34q) Three variants of the same S-to-B: 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