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.
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Billabob
Posts: 158
Joined: April 2nd, 2015, 5:28 pm

Re: Solitaire of Life

Post by Billabob » May 16th, 2018, 6:22 pm

BlinkerSpawn wrote:30:

Code: Select all

x = 11, y = 9, rule = LifeHistory
7.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!
I think that’s optimal, well done.
▄▀
▀▀▀

wwei23

Re: Solitaire of Life

Post by wwei23 » July 5th, 2018, 4:41 pm

Can I post a puzzle, since no one else seems to be posting one?

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Macbi
Posts: 903
Joined: March 29th, 2009, 4:58 am

Re: Solitaire of Life

Post by Macbi » July 5th, 2018, 4:47 pm

Please do.

wwei23

Re: Solitaire of Life

Post by wwei23 » July 5th, 2018, 4:56 pm

Code: Select all

x = 5, y = 5, rule = LifeHistory
.2A$.A.2A$A3.A$2A.A$2.2A!
I myself will offer a 36-cell solution, the smallest I can get:

Code: Select all

x = 11, y = 11, rule = LifeHistory
2.C$.C.C4.2C$.C.C3.C2.C$2.C.2A2.2C$4.A.2A$3.A3.A$3.2A.A$.2C2.2A.C$C2.
C3.C.C$.2C4.C.C$8.C!
After manually inspecting this one, I noticed that the red cells have to be dead.

Code: Select all

x = 7, y = 7, rule = LifeHistory
2.3D$.D2A2D$2DAD2AD$DA3DAD$D2ADA2D$.2D2AD$2.3D!
As a result, to prevent birth on blue, four cells will always be on:

Code: Select all

x = 7, y = 7, rule = LifeHistory
2.3DC$CD2ABD$DBAD2AD$DA3DAD$D2ADABD$.DB2ADC$.C3D!
All solutions must have at least 24 cells.

Code: Select all

x = 7, y = 7, rule = LifeHistory
2B3DCB$CD2A2DB$2DAD2AD$DA3DAD$D2ADA2D$B2D2ADC$BC3D2B!
Four cells to prevent birth on blue:

Code: Select all

x = 7, y = 7, rule = LifeHistory
2.3DC$CB2ADB$2DAD2AD$DA3DAD$D2ADA2D$.BD2ABC$.C3D!
Such cells will touch white, so four more cells are required to stabilize the white cells.

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Macbi
Posts: 903
Joined: March 29th, 2009, 4:58 am

Re: Solitaire of Life

Post by Macbi » July 6th, 2018, 4:12 pm

wwei23 wrote:I myself will offer a 36-cell solution, the smallest I can get:

Code: Select all

x = 11, y = 11, rule = LifeHistory
2.C$.C.C4.2C$.C.C3.C2.C$2.C.2A2.2C$4.A.2A$3.A3.A$3.2A.A$.2C2.2A.C$C2.
C3.C.C$.2C4.C.C$8.C!
LLS verifies that this the unique optimal solution.

wwei23

Re: Solitaire of Life

Post by wwei23 » July 6th, 2018, 4:39 pm

Almost posted this as a puzzle, but then I was doing my preparative analysis, and then this happened:

Code: Select all

x = 8, y = 8, rule = LifeHistory
3.3D$2.D2A2D$.2DAD2AD$D2A3DAD$DA2D2A2D$2DADA3D$.D2A2DED$2.5D!
What's the highest minimal stabilization to unstabilized ratio possible? I managed to get 3 in that last puzzle.
This will be the next puzzle with 14 cells, then...

Code: Select all

x = 7, y = 7, rule = LifeHistory
3.3D$2.2D2AD$.D2ADAD$2DA3DA$DA2D2AD$D2ADA2D$.2DA2D!
I managed to find a 38 cell solution.

Code: Select all

x = 11, y = 11, rule = LifeHistory
9.C$2.2C4.C.C$.C2.C3.C.C$.C.C2.2A.C$2.C.2A.A$4.A3.A$3.A2.2A.C$3.2A.A
2.C$.2C2.A2.C$C2.C2.2C$.2C!
I just try to make everything connected pre-blocks, because those tend to be excruciatingly hard.
Now for my analysis!

Every solution will have at least 24 cells.
Three are forced on. Three are needed to stabilize the two in the upper left, four to stabilize the one on the lower right:

Code: Select all

x = 9, y = 9, rule = LifeHistory
2.3B$2.BC3D$3B2D2AD$BCD2ADAD$B2DA3DA$.DA2D2ADE$.D2ADA2DE$2.2DA2DC$5.
2E!

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BlinkerSpawn
Posts: 1992
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Solitaire of Life

Post by BlinkerSpawn » July 7th, 2018, 10:59 am

wwei23 wrote:Every solution will have at least 24 cells.
Three are forced on. Three are needed to stabilize the two in the upper left, four to stabilize the one on the lower right:

Code: Select all

x = 9, y = 9, rule = LifeHistory
2.3B$2.BC3D$3B2D2AD$BCD2ADAD$B2DA3DA$.DA2D2ADE$.D2ADA2DE$2.2DA2DC$5.
2E!
This would be a lot more fun if you hadn't done half the solving already

Code: Select all

x = 9, y = 9, rule = LifeHistory
.2C2B$C2.C3D$C.C2D2AD$BCD2ADAD$B2DA3DA$.DA2D2ADE$.D2ADA2DE$2.2DA2DC$
5.2E!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

wwei23

Re: Solitaire of Life

Post by wwei23 » July 7th, 2018, 12:16 pm

That's not even a still life, what's going on here?

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Majestas32
Posts: 549
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Location: 'Merica

Re: Solitaire of Life

Post by Majestas32 » July 9th, 2018, 1:06 am

BlinkerSpawn wrote:
wwei23 wrote:Every solution will have at least 24 cells.
Three are forced on. Three are needed to stabilize the two in the upper left, four to stabilize the one on the lower right:

Code: Select all

x = 9, y = 9, rule = LifeHistory
2.3B$2.BC3D$3B2D2AD$BCD2ADAD$B2DA3DA$.DA2D2ADE$.D2ADA2DE$2.2DA2DC$5.
2E!
This would be a lot more fun if you hadn't done half the solving already

Code: Select all

x = 9, y = 9, rule = LifeHistory
.2C2B$C2.C3D$C.C2D2AD$BCD2ADAD$B2DA3DA$.DA2D2ADE$.D2ADA2DE$2.2DA2DC$
5.2E!
:facepalm:
Searching:
b2-a5k6n7cs12-i3ij4k5j8
b2-a3c7cs12-i

Currently looking for help searching these rules.

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gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

Re: Solitaire of Life

Post by gmc_nxtman » July 9th, 2018, 2:50 am

New puzzle:

Code: Select all

x = 10, y = 10, rule = LifeHistory
5.C2.C$8.C$3.C2.C$.C2.C$.C2.C$4.2C2.C$8.C$C$3.C5.C$4.2C!

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Goldtiger997
Posts: 762
Joined: June 21st, 2016, 8:00 am

Re: Solitaire of Life

Post by Goldtiger997 » July 9th, 2018, 6:29 am

gmc_nxtman wrote:New puzzle:

Code: Select all

x = 10, y = 10, rule = LifeHistory
5.C2.C$8.C$3.C2.C$.C2.C$.C2.C$4.2C2.C$8.C$C$3.C5.C$4.2C!
42:

Code: Select all

x = 15, y = 11, rule = LifeHistory
12.2A$8.AC2.C$7.A2.A.C$7.C.AC.2A$A.2A.CA.C$2A.A.C2.C$5.A2.2C2.CA$4.A
7.C$4.CA2.2A4.A$7.C2.A2.CA$8.2C!

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Macbi
Posts: 903
Joined: March 29th, 2009, 4:58 am

Re: Solitaire of Life

Post by Macbi » July 9th, 2018, 1:35 pm

42 isn't optimal.

wwei23

Re: Solitaire of Life

Post by wwei23 » July 9th, 2018, 5:44 pm

38 and 38:

Code: Select all

x = 33, y = 11, rule = LifeHistory
9.2A17.2A$8.C2.C15.C2.C$8.A2.C15.A2.C$6.CA.CA14.CA.CA$4.C2.C15.C2.C$
4.CA.C15.CA.C$5.A.2C2.CA6.2A3.A.2C2.CA$2A.A.A5.C7.A2.A.A5.C$A.AC.A.2A
4.A7.AC.A.2A4.A$6.C2.A2.CA11.C2.A2.CA$7.2C17.2C!
And 38 and 38 and 38:

Code: Select all

x = 49, y = 12, rule = LifeHistory
7.2A15.2A18.2A$6.C2.C13.C2.C16.C2.C$6.A2.C13.A2.C16.A2.C$4.CA.CA12.CA
.CA15.CA.CA$2.C2.C13.C2.C16.C2.C$2.CA.C13.CA.C16.CA.C$3.A.2C2.CA9.A.
2C2.CA12.A.2C2.CA$3.A5.C10.A5.C13.A5.C$.CA.3A4.A6.CA.3A4.A7.A.CA.3A4.
A$2.A.C2.A2.CA4.A2.A.C2.A2.CA7.2A.A.C2.A2.CA$A4.2C9.2A4.2C18.2C$2A!
35:

Code: Select all

x = 11, y = 11, rule = LifeHistory
6.2A$5.C2.C$5.A2.C$3.CA.CA$.C2.C$.CA.C$4.2C2.CA$.3A4.C$C3.2A4.A$2A.C
2.A2.CA$4.2C!
34:

Code: Select all

x = 11, y = 11, rule = LifeHistory
6.2A$5.C2.C$5.A2.C$3.CA.CA$.C2.C$.CA.C$4.2C2.CA$A.2A4.C$CA2.2A4.A$3.C
2.A2.CA$4.2C!

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Macbi
Posts: 903
Joined: March 29th, 2009, 4:58 am

Re: Solitaire of Life

Post by Macbi » July 9th, 2018, 6:16 pm

Yep, 34 wins.

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Solitaire of Life

Post by AforAmpere » July 9th, 2018, 6:42 pm

Here's a new one:

Code: Select all

x = 11, y = 10, rule = LifeHistory
7.2C2$4.C4.2C$C8.C$C5.C$.2C3.C$3.C2$6.C$6.C!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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Macbi
Posts: 903
Joined: March 29th, 2009, 4:58 am

Re: Solitaire of Life

Post by Macbi » July 9th, 2018, 7:09 pm

AforAmpere wrote:Here's a new one:

Code: Select all

x = 11, y = 10, rule = LifeHistory
7.2C2$4.C4.2C$C8.C$C5.C$.2C3.C$3.C2$6.C$6.C!
33

Code: Select all

x = 11, y = 11, rule = LifeHistory
3.2A2.A2.A$3.A3.2C2A$4.A$3.AC4.2C$CA7.C$C5.CA.A$.2CA2.CA.2A$3.C2$6.CA
$6.CA!

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Saka
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Contact:

Re: Solitaire of Life

Post by Saka » July 9th, 2018, 7:09 pm

AforAmpere wrote:Here's a new one:

Code: Select all

x = 11, y = 10, rule = LifeHistory
7.2C2$4.C4.2C$C8.C$C5.C$.2C3.C$3.C2$6.C$6.C!
34:

Code: Select all

x = 13, y = 11, rule = LifeHistory
9.A$3.2A2.2C3A$3.A2.A5.A$4.C2A2.2C.A$CA7.C.A$C5.C2A$.2CA2.C$3.C2$6.CA
$6.CA!
EDIT: Aw really? Darn it!

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BlinkerSpawn
Posts: 1992
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Location: Getting a snacker from R-Bee's

Re: Solitaire of Life

Post by BlinkerSpawn » July 9th, 2018, 10:08 pm

29 looks better:

Code: Select all

x = 11, y = 11, rule = LifeHistory
7.A$7.2CA$2.2A6.A$.A2.C4.2C$C.2A5.C$C5.CA.A$.2CA2.C.A$3.C2$6.CA$6.CA!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

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Hdjensofjfnen
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Re: Solitaire of Life

Post by Hdjensofjfnen » July 16th, 2018, 8:40 pm

31. It doesn't improve the previous one, but is still worth noting, if only for the 16-bitter:

Code: Select all

x = 12, y = 11, rule = LifeHistory
7.A$7.2CA$10.A$.2A.CA3.2C$C.A.A.A2.C$C5.C4.A$.2CA2.CA2.2A$3.C2$6.CA$
6.CA!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

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

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Saka
Posts: 3627
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Location: Indonesia
Contact:

Re: Solitaire of Life

Post by Saka » August 6th, 2018, 7:22 am

I like this game so here's a puzzle:

Code: Select all

x = 12, y = 12, rule = LifeHistory
3.C2$10.C$C5.C$6.C.C$.2C2.C$8.C2.C$.C4.2C2.C$.C$7.C$.C4.C$9.C!

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PHPBB12345
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Re: Solitaire of Life

Post by PHPBB12345 » August 6th, 2018, 9:24 am

Saka wrote:I like this game so here's a puzzle:

Code: Select all

x = 12, y = 12, rule = LifeHistory
3.C2$10.C$C5.C$6.C.C$.2C2.C$8.C2.C$.C4.2C2.C$.C$7.C$.C4.C$9.C!
75, isn't optimal.

Code: Select all

x = 15, y = 16, rule = LifeHistory
4.AC$4.2A3.A$8.A.A.CA$.AC5.C.A.2A$.A2.A.A.C.C$3.2C.AC2.A$10.C.AC$3.C
4A2CA.CA$3.C3.A$A4.A3.C4A$3AC4ACA4.A$11.C2A$2.4A2.4A$2.A2.A2.A$9.A$8.
2A!
61:

Code: Select all

x = 15, y = 13, rule = LifeHistory
4.AC$4.2A3.A$8.A.A.CA$.AC5.C.A.2A$.A2.A.A.C.C$3.2C.AC2.A$10.C.AC$3.C
4A2CA.CA$3.C$2A.A.2A.AC4A$A.AC.2A.C5.A$11.C2A$11.A!

dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

Re: Solitaire of Life

Post by dani » August 6th, 2018, 1:57 pm

Here's a 57, definitely suboptimal (although I haven't checked):

Code: Select all

x = 15, y = 13, rule = LifeHistory
4.AC$4.A.A5.2A$6.A5.CA$.AC3.A.CA$.A2.A.A.C.C$3.2C.AC2.A$10.C.AC$3.C4A
2C2.C$3.C8.A.A$2A.A.2A.AC3.2A$A.AC.2A.C$9.2AC$11.A!

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Solitaire of Life

Post by AforAmpere » August 6th, 2018, 6:21 pm

Here's 50:

Code: Select all

x = 14, y = 13, rule = LifeHistory
4.AC$4.2A$11.AC$.AC4.AC.A.A$.A2.A.A.C.C$3.2C.AC2.A$10.C.AC$3.CA.2A2C
2.C$3.C.2A5.A$2A.A5.C2A$A.AC4.C$9.2AC$11.A!

And a different 50:

Code: Select all

x = 14, y = 14, rule = LifeHistory
5.2A$5.CA2$11.AC$2.CA3.AC.A.A$2.A.A.A.C.C$3.2C.AC2.A$10.C.AC$3.CA.2A
2C2.C$3.C.2A5.A$2A.A5.C2A$A.AC4.C$9.2AC$11.A!
And another:

Code: Select all

x = 14, y = 14, rule = LifeHistory
4.2A$4.AC2$11.AC$2.CA3.AC.A.A$2.A2.A2.C.C$3.2C2AC2.A$10.C.AC$3.CA.2A
2C2.C$3.C.2A5.A$2A.A5.C2A$A.AC4.C$9.2AC$11.A!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

User avatar
gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

Re: Solitaire of Life

Post by gmc_nxtman » August 6th, 2018, 11:46 pm

44:

Code: Select all

x = 14, y = 13, rule = LifeHistory
2.2A$2.AC2$9.AC$CA3.AC.A.A$A.A3.C.CA$.2C2.C$5.A.AC2AC$.CA3.2C2.C2.A$.
C10.2A$2.A3.AC$.CA3.C2.A$8.AC!

wwei23

Re: Solitaire of Life

Post by wwei23 » August 7th, 2018, 10:43 am

Here's another 44:

Code: Select all

x = 12, y = 13, rule = LifeHistory
2.2A$2.AC2$5.2A2.AC$CA4.C3.A$A.A3.C.C$.2C2.CA.2A$5.A2.C2.C$.CA3.2C2.C
A$.C$2.A3.AC2.2A$.CA3.C.A2.A$9.CA!
Edit:
41:

Code: Select all

x = 12, y = 13, rule = LifeHistory
2.2A$2.AC2$5.2A2.AC$CA4.C3.A$A.A3.C.C$.2C2.CA.2A$5.A2.C2.C$.CA3.2C2.C
A$.C$2.A3.AC$.CA3.C2.A$8.AC!

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