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Solitaire of Life

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Re: Solitaire of Life

Postby AforAmpere » September 11th, 2018, 10:10 pm

dvgrn wrote:Huh. It looked pretty good. How about 49?

x = 13, y = 14, rule = LifeHistory
10.2A$5.2A3.A$5.C2.C.C$6.CA.C$7.C$5.C2.2ACA$5.CA.A3.C$6.C.A2.2A$6.C.
2A$3.AC.C.C$4.A.A2.C$.A2C2.C3.C$A2.C.A5.A$2A2.A5.CA!


The top can be reduced, so 48:
x = 13, y = 13, rule = LifeHistory
5.2A2.2A$5.C2.C.C$6.CA.C$7.C$5.C2.2ACA$5.CA.A3.C$6.C.A2.2A$6.C.2A$3.A
C.C.C$4.A.A2.C$.A2C2.C3.C$A2.C.A5.A$2A2.A5.CA!


An alternative 48:
x = 13, y = 13, rule = LifeHistory
5.2A2.2A$5.C2.C.C$6.CA.C$7.C$5.C2.2ACA$5.CA.A3.C$6.C.A2.2A$6.C.2A$2A.
AC.C.C$A3.A.A2.C$.A2C2.C3.C$3.C.A5.A$4.A5.CA!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Solitaire of Life

Postby Gamedziner » September 12th, 2018, 6:39 am

The previous problem has one 31-cell solution within a 16-by-16 bounding box (probably less). I found this out using WinLifeSearch.
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Solitaire of Life

Postby dvgrn » September 12th, 2018, 7:09 am

Gamedziner wrote:The previous problem has one 31-cell solution within a 16-by-16 bounding box (probably less). I found this out using WinLifeSearch.

31 cells? Yikes. It's good to have a target, but so far I can only get to 34:

x = 10, y = 12, rule = LifeHistory
2A$C2.CA$2.2C.A$5.C$2.AC.A.C$2.A.C.A.C$6.A2.A$AC3AC2.AC$C2.C$8.2C$7.C
.A$8.A!
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Re: Solitaire of Life

Postby Gamedziner » September 12th, 2018, 7:21 am

dvgrn wrote:
Gamedziner wrote:The previous problem has one 31-cell solution within a 16-by-16 bounding box (probably less). I found this out using WinLifeSearch.
31 cells? Yikes.

What makes it worse is that there are no other 31-cell solutions.
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Solitaire of Life

Postby Gamedziner » September 12th, 2018, 7:27 am

AforAmpere wrote:The top can be reduced, so 48:
x = 13, y = 13, rule = LifeHistory
5.2A2.2A$5.C2.C.C$6.CA.C$7.C$5.C2.2ACA$5.CA.A3.C$6.C.A2.2A$6.C.2A$3.A
C.C.C$4.A.A2.C$.A2C2.C3.C$A2.C.A5.A$2A2.A5.CA!

Easy reduction to 47:
x = 13, y = 13, rule = LifeHistory
5.2A2.A$5.C2.C.C$6.CA.C$7.C$5.C2.2ACA$5.CA.A3.C$6.C.A2.2A$6.C.2A$3.A
C.C.C$4.A.A2.C$.A2C2.C3.C$A2.C.A5.A$2A2.A5.CA!
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Solitaire of Life

Postby BlinkerSpawn » September 12th, 2018, 8:16 am

Gamedziner wrote:
dvgrn wrote:
Gamedziner wrote:The previous problem has one 31-cell solution within a 16-by-16 bounding box (probably less). I found this out using WinLifeSearch.
31 cells? Yikes.

What makes it worse is that there are no other 31-cell solutions.

...which I wasn't actually expecting to find, given I couldn't get lower than 36 at first:
x = 11, y = 11, rule = LifeHistory
2A$C2.C$2.2C$3.A.C$3.C.2AC$4.C3.C$5.A2.A$AC.A.C3.CA$CA.CA5.A$7.A2C$7.
C!

Thanks for the inspiration, dvgrn.
I'll hold off on submitting since people appear to still be working on the bump.
For reference, I also have a 47-cell solution to that one, although Gamedeziner's looks much more conducive to reduction in the top right:
x = 12, y = 15, rule = LifeHistory
7.2A$6.A2.A$3.AC2.C.C$3.A.CA.C$6.C.A.A$4.CA3.C.A$4.C5.AC$5.C$3.A.C$.
2AC.CAC$A7.C$.2C.AC.A.C$2.C.A3.A.A$2.A.A4.C$3.A!

EDIT: Yup, there it is:
x = 13, y = 13, rule = LifeHistory
5.2A2.A$5.C2.C.C$6.CA.C$7.C.A.A$5.C4.C.A$5.CA4.AC$6.C$6.C.2A$3.AC.C.C
$4.A.A2.C$.A2C2.C3.C$A2.C.A5.A$2A2.A5.CA!
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Re: Solitaire of Life

Postby dvgrn » September 12th, 2018, 9:20 am

Gamedziner wrote:
dvgrn wrote:
Gamedziner wrote:The previous problem has one 31-cell solution within a 16-by-16 bounding box (probably less). I found this out using WinLifeSearch.
31 cells? Yikes.

What makes it worse is that there are no other 31-cell solutions.

A minor hint might be (select next line to see it).
Think Aircraft Carriers.
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Re: Solitaire of Life

Postby Hdjensofjfnen » September 12th, 2018, 6:26 pm

Here's a much easier one. Don't use scripts, please! I already found the smallest solution (at least, to my knowledge).
x = 6, y = 3, rule = LifeHistory
5.C$4C.C$5.C!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Solitaire of Life

Postby AforAmpere » September 12th, 2018, 6:42 pm

I doubt there is any smaller solution than 16:
x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2A3.2A$2A!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Solitaire of Life

Postby dvgrn » September 12th, 2018, 10:27 pm

AforAmpere wrote:I doubt there is any smaller solution than 16:
x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2A3.2A$2A!

There actually is, though. I'm hoping someone finds a 15-cell solution, because I couldn't come up with one. Didn't use a search program, though, as requested.
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Re: Solitaire of Life

Postby gmc_nxtman » September 12th, 2018, 10:35 pm

14 cells:

x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2.3A$2.A!
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Re: Solitaire of Life

Postby Gamedziner » September 13th, 2018, 9:15 am

gmc_nxtman wrote:14 cells:

x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2.3A$2.A!
I won't ever say what exactly I get when using WLS for this, unless it is requested. Since Hdjensofjfnen requested that no one should use scripts, I will not reveal the patterns I found even upon others' request.
With that caveat in mind, I can confirm that this is an optimal solution. There is one more optimal solution (excluding flipping along the x-axis).
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Solitaire of Life

Postby A for awesome » September 13th, 2018, 6:27 pm

Gamedziner wrote:
gmc_nxtman wrote:14 cells:

x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2.3A$2.A!
I won't ever say what exactly I get when using WLS for this, unless it is requested. Since Hdjensofjfnen requested that no one should use scripts, I will not reveal the patterns I found even upon others' request.
With that caveat in mind, I can confirm that this is an optimal solution. There is one more optimal solution (excluding flipping along the x-axis).


x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2.A.A$2.2A!
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

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Re: Solitaire of Life

Postby BlinkerSpawn » September 13th, 2018, 6:31 pm

Gamedziner wrote:
gmc_nxtman wrote:14 cells:

x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2.3A$2.A!
I won't ever say what exactly I get when using WLS for this, unless it is requested. Since Hdjensofjfnen requested that no one should use scripts, I will not reveal the patterns I found even upon others' request.
With that caveat in mind, I can confirm that this is an optimal solution. There is one more optimal solution (excluding flipping along the x-axis).

[Sniped by A for Awesome, whoops]
Yet Another Randomly-Generated Puzzle:
x = 12, y = 12, rule = LifeHistory
7.C.3C$10.C$3.C.2C$2.C5.C$.C5.2C2.C$6.C$10.C2$C9.C$10.C$2.C$C.C!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Solitaire of Life

Postby AforAmpere » September 13th, 2018, 7:01 pm

BlinkerSpawn wrote:Yet Another Randomly-Generated Puzzle:
x = 12, y = 12, rule = LifeHistory
7.C.3C$10.C$3.C.2C$2.C5.C$.C5.2C2.C$6.C$10.C2$C9.C$10.C$2.C$C.C!


My best so far is 49:
x = 16, y = 16, rule = LifeHistory
9.2A$9.2A2$7.ACA3C$3.2A.A4.C.A$2.A.C.2CA5.A$.A.C5.C5.A$2.C5.2C2.C2A$
7.C4.A$8.3AC2$.C8.AC$A.A7.AC$A2.C$.C.C$2.A!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Solitaire of Life

Postby AforAmpere » September 16th, 2018, 7:42 pm

A new puzzle:
x = 9, y = 13, rule = LifeHistory
3.C.C2$C3.C3.C$2.C3.C3$.C2.C2.C3$2.C3.C$C3.C3.C2$3.C.C!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Solitaire of Life

Postby gmc_nxtman » September 16th, 2018, 9:05 pm

53 cells:

x = 11, y = 15, rule = LifeHistory
5.A$2A2.C.C$A2.A2.A$.C.A.C3.CA$2.AC.A.C2.A$5.A.2A$2.2A.A$2.CA.C.AC$5.
A.2A$2.2A.A$A2.C.A.CA$AC3.C.A.C$4.A2.A2.A$4.C.C2.2A$5.A!


EDIT: 51:

x = 11, y = 15, rule = LifeHistory
5.A$3.ACACA$2.A5.A$.C.A.CA2.C$.A.CA.ACA$2A$2.A.2A.2A$2.CA.C.AC3$3.CA.
AC.2A$.C2.AC.A.CA$.2A$3.ACAC$3.A2.A!


EDIT: 50:

x = 10, y = 15, rule = LifeHistory
2.A2.A$2.ACAC$2A$C2.AC.A.C$2.CA.ACA.A$9.A$.A.2A.A.A$.CA.C.AC3$2.CA.AC
.2A$C2.AC.A.CA$2A$2.ACAC$2.A2.A!
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Re: Solitaire of Life

Postby BlinkerSpawn » September 17th, 2018, 5:14 pm

46?
x = 9, y = 15, rule = LifeHistory
4.A$2.ACACA$.A5.A$C2.AC.A.C$.AC.A.CA2$.2A.A.2A$.C.AC.AC3$.AC.A.CA$C2.
AC.A.C$.A5.A$2.ACACA$4.A!
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Re: Solitaire of Life

Postby Gamedziner » September 18th, 2018, 6:16 am

BlinkerSpawn wrote:46?
x = 9, y = 15, rule = LifeHistory
4.A$2.ACACA$.A5.A$C2.AC.A.C$.AC.A.CA2$.2A.A.2A$.C.AC.AC3$.AC.A.CA$C2.
AC.A.C$.A5.A$2.ACACA$4.A!

Not an optimal solution.
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Solitaire of Life

Postby Gamedziner » September 25th, 2018, 6:45 am

Since it has been a full week, I'll give a hint: an optimal solution exists with 43 cells.
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
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Re: Solitaire of Life

Postby Hdjensofjfnen » September 27th, 2018, 8:52 pm

gmc_nxtman wrote:14 cells:

x = 7, y = 5, rule = LifeHistory
A2.A.CA$4C.C$5.C$2.3A$2.A!


Correct, that was my solution.
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Solitaire of Life

Postby 77topaz » September 29th, 2018, 12:31 am

Here's a new puzzle, if anyone wants one:
x = 12, y = 10, rule = LifeHistory
2C3.C$4.C.C$3.C.C$3.C.C.C$2.C3.C$2.C5.C$3.C6.C$.C3.C5.C$6.C4.C$5.C!
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Re: Solitaire of Life

Postby gmc_nxtman » September 29th, 2018, 1:50 am

43 cells:

x = 13, y = 10, rule = LifeHistory
.2C3.C$2.A2.C.C$2.A.C.C$.2A.C.C.C$3.C.A.C.A$3.C.A.A.C$.2A.C.A.A.AC$2.
C3.C3.A.C$A.A2.A.C2.A.C$2A4.C4.A!


EDIT: 40:

x = 12, y = 13, rule = LifeHistory
2A$2C3.C$4.C.C$3.C.C$3.C.C.C$.AC.A.C.A$A.C.A3.C$A2.C.A2.2AC$.C.A.C5.C
$2.A2.AC3.AC$5.C$7.A$6.2A!
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Re: Solitaire of Life

Postby Sarp » September 29th, 2018, 8:01 am

Alternative 40
x = 12, y = 12, rule = LifeHistory
2C3.C$.A2.C.C$.A.C.C$2A.C.C.C$2.C.A.C.A$2.C.A3.C$3.C.A2.2AC$.C.A.C5.C
$.2A2.AC3.AC$5.C$7.A$6.2A!
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Re: Solitaire of Life

Postby BlinkerSpawn » September 29th, 2018, 8:11 am

38:
x = 12, y = 11, rule = LifeHistory
2A$2C3.C$4.C.C$3.C.C$3.C.C.C$.AC3.C.A$A.C.2A2.C$A2.C2.3A.C$.CA2.C3.A.
C$6.C2.A.C$5.CA3.A!
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