## Solitaire of Life

A forum where anything goes. Introduce yourselves to other members of the forums, discuss how your name evolves when written out in the Game of Life, or just tell us how you found it. This is the forum for "non-academic" content.

31x2:
x = 26, y = 12, rule = LifeHistoryC14.C$C2A12.C2A$3.C14.C$2.A14.A$2.2C2A3.2A6.2C2A$6.C2.A11.C$4.2C.A.C9.2C.A.C$3.A2.C2.2A7.A2.C.2A$3.2C.C.A9.2C.C$5.A2.C11.A.AC.A$5.A.A12.A.A.2A$6.C14.C! 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Solitaire of Life Population should be minimal, but bounding box isn't. gmc_nxtman Posts: 1146 Joined: May 26th, 2015, 7:20 pm ### Re: Solitaire of Life 30 cells, minimal bounding box: x = 10, y = 12, rule = LifeHistoryC$C2A$3.C$2.A2.A$2.2CA.A$6.C2A$4.2C3.C$3.A2.C.2A$3.2C.C.A$5.A2.C$5.A.A$6.C!

EDIT: In case that's optimal, here's another challenge:
x = 12, y = 12, rule = LifeHistory5.C2$3.C3.C$4.C.C$.C3.C$C5.C.C.C$.C3.C5.C$2.C7.C$7.C$4.C.C$.C$2.C.C!#C [[ ANGLE 45 ]]
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: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Solitaire of Life

A for awesome wrote:30 cells, minimal bounding box:
RLE

EDIT: In case that's optimal, here's another challenge:
RLE

WLS prepared (not solution):
x = 12, y = 12, rule = LifeHistory5.C2$3.C3.C$4.CDC$.C2.DCD$C3.2DC.C.C$.C3.C5.C$2.C7.C$7.C$4.C.C$.C$2.C.C!

x = 12, y = 12, rule = LifeHistory5.A2$3.A2D2A$4.ADAD$.A.ADA2D$A.DA2D3A.A$.A2.2A2D3.A$2.A7.A$7.A$4.A.A$.A$2.A.A!
Last edited by PHPBB12345 on February 12th, 2018, 8:34 pm, edited 1 time in total.

PHPBB12345

Posts: 485
Joined: August 5th, 2015, 11:55 pm

### Re: Solitaire of Life

A for awesome wrote:EDIT: In case that's optimal, here's another challenge:
x = 12, y = 12, rule = LifeHistory5.C2$3.C3.C$4.C.C$.C3.C$C5.C.C.C$.C3.C5.C$2.C7.C$7.C$4.C.C$.C$2.C.C!#C [[ ANGLE 45 ]]

That one was... rather interesting to work on: (44)
x = 12, y = 15, rule = LifeHistory4.AC$5.A$3.C2.AC$3.AC.C$.CA2.C2.A$C2.A2.CACAC$.C2.AC5.C$2.CA2.2A2.CA$4.A2.C$4.CAC$.C$.ACAC$4.A$3.A$3.2A![[ ANGLE 45 ]]

EDIT: 42
x = 12, y = 13, rule = LifeHistory5.CA$5.A$3.CA2.C$2.A.C.CA$.C3.C2.2A$C5.C.C.C$AC3.CA.A2.C$2.C.A2.A.AC$2.A.A2.C$.2A.C.CA$.C2.A$2.C.C$3.A!
Last edited by BlinkerSpawn on February 12th, 2018, 9:04 pm, edited 2 times in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1823
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Solitaire of Life

rle

Not optimal.
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: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Solitaire of Life

Never got word back on my 42-cell solution, so I'll go ahead and post this:
x = 5, y = 9, rule = LifeHistoryC3.C$.C.C$2.C$C3.C$.C.C$2.C$C3.C$.C.C$2.C!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1823
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Solitaire of Life

BlinkerSpawn wrote:Never got word back on my 42-cell solution, so I'll go ahead and post this:
x = 5, y = 9, rule = LifeHistoryC3.C$.C.C$2.C$C3.C$.C.C$2.C$C3.C$.C.C$2.C!

31 cells:
x = 9, y = 12, rule = LifeHistory2A.2A$2A.A$3.A2.A$3.E.A.E$4.E.E$5.E$3.E.A.E$2.A.E.E.A$2.A2.E2.A$3.E.A.E$4.E.E$5.E! EDIT: 26 cells: x = 7, y = 11, rule = LifeHistory2.2A$.A2.A$.E.A.E$2.E.E$3.E$.E.A.E$A.E.E.A$A2.E2.A$.E.A.E$2.E.E$3.E! I think that's the smallest solution. https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... gameoflifemaniac Posts: 715 Joined: January 22nd, 2017, 11:17 am Location: There too ### Re: Solitaire of Life BlinkerSpawn wrote:Never got word back on my 42-cell solution So sorry about that, I completely missed your edit. Is there some secret trick that I don't know about to be notified of edits to posts? Anyway, I'm not 100% sure that 42 is optimal, given that I haven't verified with a search program, but it's the smallest I've been able to get: x = 12, y = 12, rule = LifeHistory4.AC$5.A$3.C2.AC$3.AC.C$.CA2.C2.A$C2.A2.CACAC$.C2.AC5.C$2.CA3.A2.CA$4.A.AC$4.C.C$.CA.A.A$.AC.CA!

I'm surprised no one found my solution, as the "diagonalistic" nature of the puzzle should have been an obvious clue.
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: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Solitaire of Life

Can I post a puzzle?
EDIT:
My puzzle:
obbbo$bobob$obobo!

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Solitaire of Life

Ahem, anyway, I've never created one of these, but here we go, an easy-but-kinda-tricky one:
x = 9, y = 11, rule = B3/S232o$obo2$2bobobo$5bobo$7b2o2$7bo2$6bo$4bo! My lowest is 47 cells, but I'm a novice, so it can probably be reduced. Please stop using my full name. Refer to me as dani. she/they "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 880 Joined: October 27th, 2017, 3:43 pm Location: i love to eat bees ### Re: Solitaire of Life danny wrote:Ahem, anyway, I've never created one of these, but here we go, an easy-but-kinda-tricky one: x = 9, y = 11, rule = B3/S232o$obo2$2bobobo$5bobo$7b2o2$7bo2$6bo$4bo!

My lowest is 47 cells, but I'm a novice, so it can probably be reduced.

Two 28-cell solutions:
x = 25, y = 11, rule = LifeHistory2C12.2C$C.C11.C.C.2A$2.A2.A10.A.A$2.C.C.C2.2A4.AC.C.C2.2A$3.A.C.C2.A8.C.C2.A$5.A.2CA11.2CA$4.2A14.A$6.AC13.C$6.A12.A.A$4.A.C11.A.C$4.CA12.CA!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1823
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Solitaire of Life

x = 25, y = 11, rule = LifeHistory2C12.2C$C.C11.C.C.2A$2.A2.A10.A.A$2.C.C.C2.2A4.AC.C.C2.2A$3.A.C.C2.A8.C.C2.A$5.A.2CA11.2CA$4.2A14.A$6.AC13.C$6.A12.A.A$4.A.C11.A.C$4.CA12.CA!

27-cell corollary snipe of #1:
x = 11, y = 11, rule = LifeHistory2C$C.C$2.A2.A$2.C.C.C2.2A$3.A.C.C2.A$5.A.2CA$5.A$6.AC$7.A$4.2AC$4.C!
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: 1695
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Solitaire of Life

wwei23 wrote:My puzzle:
obbbo$bobob$obobo!

This puzzle is impossible. There is no way to stabilise the centre cell (in red below) without causing one of it's neighbours to die. I suggest you at least create a solution yourself before posting another puzzle
x = 5, y = 3, rule = LifeHistoryC3.C$.CDC$C.C.C!
wildmyron

Posts: 946
Joined: August 9th, 2013, 12:45 am

### Re: Solitaire of Life

Is this good for first time?
x = 10, y = 15, rule = LifeHistory2C$C.C3.2A$2.A3.A.A$2.CAC.C2.A$5.C.C.A$2.2A3.2C$A2.4A$2A5.CA$5.A3.A$4.A.C2A$4.CA$7.2A$8.A$7.A$7.2A!
c(>^x^<c)~
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.

There’s one problem,

Fluffy doesn’t exist :(

Redstoneboi

Posts: 319
Joined: May 14th, 2018, 3:57 am

### Re: Solitaire of Life

Redstoneboi wrote:Is this good for first time?
x = 10, y = 15, rule = LifeHistory2C$C.C3.2A$2.A3.A.A$2.CAC.C2.A$5.C.C.A$2.2A3.2C$A2.4A$2A5.CA$5.A3.A$4.A.C2A$4.CA$7.2A$8.A$7.A$7.2A!

Pretty good for someone learning the ropes.
Here's another one:
x = 10, y = 11, rule = LifeHistory3.C.C$3.C5.C$2.C6.C$C2$8.C$7.C$2.3C$6.3C$4.C$8.C! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1823 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Solitaire of Life BlinkerSpawn wrote:Pretty good for someone learning the ropes. Here's another one: x = 10, y = 11, rule = LifeHistory3.C.C$3.C5.C$2.C6.C$C2$8.C$7.C$2.3C$6.3C$4.C$8.C!

I got 37 after some playing around:
x = 10, y = 13, rule = LifeHistory2.AC.CA$3.C.2A$2AC$C$4.2A$4.A.A.C$6.AC.A$2.3CA3.A$.A4.3C$2.2AC.A$4.A$4.A.A$5.2A!

Edit: Never mind, I accidentally erased 2 white cells while drawing. Make that 41.
Last edited by Billabob on May 16th, 2018, 4:20 pm, edited 1 time in total.
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Billabob

Posts: 140
Joined: April 2nd, 2015, 5:28 pm

### Re: Solitaire of Life

Billabob wrote:
BlinkerSpawn wrote:Pretty good for someone learning the ropes.
Here's another one:
x = 10, y = 11, rule = LifeHistory3.C.C$3.C5.C$2.C6.C$C2$8.C$7.C$2.3C$6.3C$4.C$8.C! I got 37 after some playing around: x = 10, y = 13, rule = LifeHistory2.AC.CA$3.C.2A$2AC$C$4.2A$4.A.A.C$6.AC.A$2.3CA3.A$.A4.3C$2.2AC.A$4.A$4.A.A$5.2A! 22: x = 11, y = 12, rule = LifeHistory2.AC.CA$3.C.2A2.CA$2AC6.CA$C2$5.2A.C$4.A.AC.A$2.3C4.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! 19 yay: x = 11, y = 12, rule = LifeHistory2.AC.CA$3.C.2A2.CA$2AC6.CA$C2$7.AC$4.A2.C$2.3C3.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! wwei23 Posts: 935 Joined: May 22nd, 2017, 6:14 pm Location: The (Life?) Universe ### Re: Solitaire of Life wwei23 wrote:22: x = 11, y = 12, rule = LifeHistory2.AC.CA$3.C.2A2.CA$2AC6.CA$C2$5.2A.C$4.A.AC.A$2.3C4.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! 19 yay: x = 11, y = 12, rule = LifeHistory2.AC.CA$3.C.2A2.CA$2AC6.CA$C2$7.AC$4.A2.C$2.3C3.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! I believe you meant to say 39 and 36? Still not optimal. LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1823 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Solitaire of Life BlinkerSpawn wrote: wwei23 wrote:22: x = 11, y = 12, rule = LifeHistory2.AC.CA$3.C.2A2.CA$2AC6.CA$C2$5.2A.C$4.A.AC.A$2.3C4.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! 19 yay: x = 11, y = 12, rule = LifeHistory2.AC.CA$3.C.2A2.CA$2AC6.CA$C2$7.AC$4.A2.C$2.3C3.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! I believe you meant to say 39 and 36? Still not optimal. 35: x = 10, y = 12, rule = LifeHistory2.AC.CA$3.C.A.A.C$2AC5.AC$C2$7.AC$4.A2.C$2.3C3.A$.A3.A3C$2.2AC$4.A2.AC$7.2A! wwei23 Posts: 935 Joined: May 22nd, 2017, 6:14 pm Location: The (Life?) Universe ### Re: Solitaire of Life 34: x = 10, y = 11, rule = LifeHistory2.AC.CA$3.C.A.A.C$2AC5.AC$C2$5.2A.C$2.A2.A.CA$2.3C$5.A3C$4.C4.A$4.2A2.CA!

I can't see any obvious ways to get lower.
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Billabob

Posts: 140
Joined: April 2nd, 2015, 5:28 pm

### Re: Solitaire of Life

Billabob wrote:34:
x = 10, y = 11, rule = LifeHistory2.AC.CA$3.C.A.A.C$2AC5.AC$C2$5.2A.C$2.A2.A.CA$2.3C$5.A3C$4.C4.A$4.2A2.CA! I can't see any obvious ways to get lower. Fairly certain 34 is optimal, so you get to submit a puzzle. LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1823 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Solitaire of Life BlinkerSpawn wrote: Billabob wrote:34: x = 10, y = 11, rule = LifeHistory2.AC.CA$3.C.A.A.C$2AC5.AC$C2$5.2A.C$2.A2.A.CA$2.3C$5.A3C$4.C4.A$4.2A2.CA!

I can't see any obvious ways to get lower.

Fairly certain 34 is optimal, so you get to submit a puzzle.

Brilliant. Here's my challenge:

x = 10, y = 9, rule = LifeHistory6.C$5.C3.C$.C3.C2.C$C4.C$3.C$3.C4.C$3.C2.C$4.C$.C4.C!
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Billabob

Posts: 140
Joined: April 2nd, 2015, 5:28 pm

### Re: Solitaire of Life

43:
x = 11, y = 12, rule = LifeHistory7.A$6.C.A$2.2A.C.A.C$.C.A.C2.C$C2.A.C$2A.C.A.A$3.C.A.ACA$3.C.AC3.A$4.C3.3A$AC3.ACA$2A6.A$7.2A! 41: x = 11, y = 12, rule = LifeHistory7.A$6.C.A$5.C.A.C$.CA2.C2.C$C2.A.C$2A.C.A.A$3.C.A.ACA$3.C.AC3.A$4.C3.3A$AC3.ACA$2A6.A$7.2A!

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Solitaire of Life

30:
x = 11, y = 9, rule = LifeHistory7.C$.A4.C.A.C$A.C3.C2.CA$.C3.AC$4.C4.2A$4.C4.C$3.AC.AC.A$2.A2.C2.A$2.CA2.AC!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]