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Solitaire of Life

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Re: Solitaire of Life

Postby Macbi » January 25th, 2018, 10:17 am

BlinkerSpawn wrote:
Macbi wrote:Not there yet.

Well?
x = 11, y = 8, rule = LifeHistory
4.CA.AC$4.C3.A$5.AC$3.C.A$.2AC.A.C.AC$A3.A2.2A.A$.A2.C.A$AC3.2C!

Well done! I think that's also the smallest bounding box possible. You get to set the next one.
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Re: Solitaire of Life

Postby BlinkerSpawn » January 25th, 2018, 10:53 am

Macbi wrote:Well done! I think that's also the smallest bounding box possible. You get to set the next one.

I'll let someone else set one because I proposed this one.
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Re: Solitaire of Life

Postby AforAmpere » January 25th, 2018, 5:46 pm

New one:
x = 11, y = 8, rule = LifeHistory
6.C$4.C.C$3.C3.2C$4.C2.C$10.C$.C8.C$3.C2.C2.C$2C!
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 Macbi » January 25th, 2018, 5:54 pm

Okay, I'm playing this one. 28 cells:
x = 11, y = 8, rule = LifeHistory
6.C$4.CAC$3.C3.2C$3.AC2.C.A$8.A.C$.C3A5.C$A2.C2.C2.C$2C3.2A2.2A!
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Re: Solitaire of Life

Postby AforAmpere » January 25th, 2018, 6:24 pm

Macbi wrote:Okay, I'm playing this one. 28 cells:
x = 11, y = 8, rule = LifeHistory
6.C$4.CAC$3.C3.2C$3.AC2.C.A$8.A.C$.C3A5.C$A2.C2.C2.C$2C3.2A2.2A!

That is optimal.
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 BlinkerSpawn » January 26th, 2018, 12:20 am

Considering the last one was over so quickly, here's a more elegant one inspired by my first one:
x = 13, y = 13, rule = LifeHistory
6.C2$2.C7.C$6.C$4.C3.C2$C2.C5.C2.C2$4.C3.C$6.C$2.C7.C2$6.C!

Have fun!
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Re: Solitaire of Life

Postby danny » January 26th, 2018, 12:38 am

BlinkerSpawn wrote:Considering the last one was over so quickly, here's a more elegant one inspired by my first one:
x = 13, y = 13, rule = LifeHistory
6.C2$2.C7.C$6.C$4.C3.C2$C2.C5.C2.C2$4.C3.C$6.C$2.C7.C2$6.C!

Have fun!

Probably suboptimal, 98 cells:
x = 17, y = 17, rule = LifeHistory
.2A3.2A$2.A3.A3.2A.2A.A$.A6.C2.A.A.2A$.4A2.3A3.A$4.C7.CA$.2A4.ACA$.A
4.C3.C4.2A$3.A.A.A.A.A.A2.A$2.CA.C.A.A.C.AC$A2.A.A.A.A.A.A$2A4.C3.C4.
A$7.ACA4.2A$3.AC7.C$3.A3.3A2.4A$2A.A.A2.C6.A$A.2A.2A3.A3.A$9.2A3.2A!
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Re: Solitaire of Life

Postby A for awesome » January 26th, 2018, 1:10 am

55:
x = 14, y = 15, rule = LifeHistory
2.A3.CA2.A$.A.A2.A2.A.A$2.CA3.A.AC$4.2AC.A$4.C3.C$2A6.2A2.2A$C2.C5.C
2.CA$2.2A4.A$4.CA2.CA$4.A.C.A2.A$2.C.A.A3.CA$2.2A2.2A$6.C$7.A$6.2A!

EDIT: 52:
x = 13, y = 14, rule = LifeHistory
5.AC$6.A2.2A$.AC3.A.A.C$.A2.A.C.A$2.2ACA2.C$8.2A.2A$C2AC5.C.AC$A2.A5.
A$4.CA2.CA$6.C2.A.A$.AC3.2A2.CA$.2A$6.CA$6.2A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Solitaire of Life

Postby BlinkerSpawn » January 26th, 2018, 9:32 am

A random fill of right around 14% generates some nice puzzles.
Examples:
x = 39, y = 15, rule = LifeHistory
.C2.A.CA$.2A2C.A$7.A9.C$.C4A.A8.A.C11.AC2.2A$A4.C.CA8.A.A10.C2.A.C$.C
.A15.C2.A8.C.C$AC.AC13.2C.C.C6.AC.C$2.A16.C.A.C6.A2.2A$2.C.A2C11.C2.
2C8.CA$.AC.A2.A11.2A11.C4.C$6.A.A7.3A2.C.A6.A5.A.C$C.AC3.C8.C2.C2.2A
6.AC5.A$AC2.A12.2A$3.A.C$4.A!
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Re: Solitaire of Life

Postby _zM » January 26th, 2018, 11:27 am

48:

x = 15, y = 15, rule = LifeHistory
6.2A$6.AC2$3.CA5.AC$3.A3.C.A.A$4.AC2A.C$9.A3.2A$AC2.CA3.AC2.CA$2A3.A$
5.C.2ACA$3.A.A.C3.A$3.CA5.AC2$7.CA$7.2A!
stop drop and goll
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Re: Solitaire of Life

Postby BlinkerSpawn » January 26th, 2018, 12:28 pm

_zM wrote:48:
four rotated long hooks with blocks

That was my best solution and most likely the optimal one.
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Re: Solitaire of Life

Postby Macbi » January 26th, 2018, 1:55 pm

Yeah, 48 wins.
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Re: Solitaire of Life

Postby Rhombic » February 7th, 2018, 8:04 pm

x = 15, y = 10, rule = LifeHistory
4.C3.C2$C4.C2.C2.C2.C$5.C$11.C.C$C8.C$2.C2$3.C$5.C!

By hand I've achieved 54.
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Re: Solitaire of Life

Postby AforAmpere » February 7th, 2018, 8:22 pm

52:
x = 20, y = 13, rule = LifeHistory
7.2A$6.A.A4.2A$6.A7.A$7.AC2A.C$10.A.2A$2A.AC4.C2.C2.C.AC$2A.A5.CA3.2A
.A$3.A11.C.C.A$3.AC7.ACA3.2A$6.CA4.A$7.A$7.C.A$8.AC!
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 » February 10th, 2018, 9:10 pm

38:

x = 15, y = 10, rule = LifeHistory
4.CA.AC$5.A.A2.A$CA3.C2.CA.C.AC$A3.AC5.A.A$.A6.2A.C.C$CA6.AC.2A$2.CA$
2.A$3.C2A$5.C!


Here's a new puzzle, in case that one is minimal:

x = 10, y = 8, rule = LifeHistory
2C3.C.C2$7.C.C$5.C3.C$C.C2$5.2C$8.C!
Last edited by gmc_nxtman on February 11th, 2018, 3:18 am, edited 1 time in total.
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Re: Solitaire of Life

Postby BlinkerSpawn » February 10th, 2018, 9:14 pm

27 for that one, probably minimal:
x = 10, y = 10, rule = LifeHistory
2A3.2A$2C3.C.C$7.A$6.AC.C$.A3.C2.AC$C.C2.2A$.A$5.2C$5.A2.C$7.2A!
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Re: Solitaire of Life

Postby gmc_nxtman » February 11th, 2018, 2:52 am

BlinkerSpawn wrote:27 for that one, probably minimal:
x = 10, y = 10, rule = LifeHistory
2A3.2A$2C3.C.C$7.A$6.AC.C$.A3.C2.AC$C.C2.2A$.A$5.2C$5.A2.C$7.2A!


That is probably minimal, seeing as the smallest I could achieve was 29.

New one, hopefully harder than the last one:

x = 12, y = 6, rule = LifeHistory
2.2C3.C.C$4.C2.C$.C.C$C5.C4.C$.C3.C$3.C!
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Re: Solitaire of Life

Postby danny » February 11th, 2018, 4:00 am

BlinkerSpawn wrote:27 for that one, probably minimal:
x = 10, y = 10, rule = LifeHistory
2A3.2A$2C3.C.C$7.A$6.AC.C$.A3.C2.AC$C.C2.2A$.A$5.2C$5.A2.C$7.2A!

Bounding box reduction:
x = 10, y = 9, rule = LifeHistory
2A3.2A$2C3.C.C$7.A$6.AC.C$.A3.C2.AC$C.C2.2A$.A$5.2C2A$5.A2.C!
get down with the sickness.
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Re: Solitaire of Life

Postby Saka » February 11th, 2018, 5:26 am

gmc_nxtman wrote:New one, hopefully harder than the last one:

x = 12, y = 6, rule = LifeHistory
2.2C3.C.C$4.C2.C$.C.C$C5.C4.C$.C3.C$3.C!

Pop 34
x = 13, y = 11, rule = LifeHistory
2A$A7.2A$.A2C3.C.C$4.C2.C$.CAC.A.A$C3.A.C4.CA$.CA2.C5.2A$3.CA$.2A$A.A
$.A!
Proud owner and founder of Sakagolue
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Solitaire of Life

Postby Rhombic » February 11th, 2018, 9:31 am

Trivial reduction:
x = 13, y = 10, rule = LifeHistory
.A6.2A$.A2C3.C.C$4.C2.C$.CAC.A.A3.2A$C3.A.C4.CA$.CA2.C$3.CA$.2A$A.A$.
A!
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Re: Solitaire of Life

Postby BlinkerSpawn » February 11th, 2018, 10:20 am

Three 30-cell solutions:
x = 33, y = 23, rule = LifeHistory
28.A$8.2A17.A.A$2.2C3.C.C12.2C3.C.C$.A2.C2.C13.A2.C.AC.A.A$.C.CA3.A2.
2A8.C.CA.A3.A.A$CA3.ACA3.CA7.CA4.C4.C$.C3.C15.C.2AC$.A.C.A15.A.C$2.A.
A17.A$3.A5$26.2A$27.A$22.2C3.C.CA$21.A2.C.AC.A$21.C.CA.A4.A$20.CA4.C
3.AC$21.C.2AC$21.A.C$22.A!

EDIT: Variants of the last two:
x = 13, y = 22, rule = LifeHistory
8.A$.A5.A.A$.A2C3.C.C$4.C.AC.A.A$.CACA.A3.A.A$C5.C4.C$.C3AC$3.C7$6.2A
$.A5.A$.A2C3.C.CA$4.C.AC.A$.CACA.A4.A$C5.C3.AC$.C3AC$3.C!
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Re: Solitaire of Life

Postby A for awesome » February 11th, 2018, 10:54 am

30 cells some different ways:
x = 77, y = 10, rule = LifeHistory
2.A6.A10.A6.A7.A6.A7.A6.A15.A$2.A2C3.C.C9.A2C3.C.C6.A2C3.C.C6.A2C3.C.
C8.2C3.C.C$5.C2.C2.A11.C2.C2.A8.C2.C2.A8.C2.C2.A6.A2.C2.C2.A$2.CAC.A.
A3.A7.CAC.A.A3.A4.CAC.A.A3.A4.CAC.A.A3.A5.CAC.A.A3.A$.C3.A.C3.AC6.C3.
A.C3.AC3.C3.A.C3.AC3.C3.A.C3.AC3.AC3.A.C3.AC$A.CA2.C13.CA2.C10.CA2.C
10.CA2.C8.A2.CA2.C$A.A.CA12.A.A.CA13.CA13.CA10.A.A.CA$.A16.2A17.A14.A
12.A$39.A13.A$38.2A12.2A!
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 gmc_nxtman » February 11th, 2018, 1:51 pm

I believe BlinkerSpawn's last solution is minimal at 30 cells in population and 96 cells in area:

x = 12, y = 8, rule = LifeHistory
6.2A$.A5.A$.A2C3.C.CA$4.C.AC.A$.CACA.A4.A$C5.C3.AC$.C3AC$3.C!


New puzzle:

x = 10, y = 12, rule = LifeHistory
C$C$3.C2$2.2C$6.C$4.2C3.C$6.C$3.2C.C$8.C2$6.C!
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Re: Solitaire of Life

Postby Rhombic » February 11th, 2018, 5:04 pm

56
x = 15, y = 14, rule = LifeHistory
2.C10.2A$2.C2A5.2A2.A$5.C2.A2.3A$4.A3.2A$4.2C2A2.2A$8.CA2.A$6.2C2.AC$
2.2A.A2.C.A$.A.A.2C.C2.A$.A.A2.A2.AC$2A.2A2.2A$8.C$6.A$6.2A!
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Re: Solitaire of Life

Postby PHPBB12345 » February 12th, 2018, 2:49 am

Rhombic wrote:56
RLE

48
x = 13, y = 14, rule = LifeHistory
2.C$2.C2A$5.C4.2A$4.A4.A2.A$4.2C2A2.2A$8.CA$6.2C2.AC$2.2A.A2.C.A$.A.A
.2C.C2.A$.A.A2.A2.AC$2A.2A2.2A$8.C$7.A$7.2A!

EDIT: 35
x = 10, y = 12, rule = LifeHistory
C$C2A5.2A$3.C4.A$2.A6.A$2.2C2A2.2A$6.C$4.2C.2AC$3.A2.C2.A$3.2C.C.A$6.
A.CA$6.A$5.AC!

EDIT: 34
x = 12, y = 12, rule = LifeHistory
C$C2A$3.C$2.A$2.2C2A3.2A$6.C2.A.A$4.2C.A.C.A$3.A2.C.A.A$3.2C.C.A$6.A.
CA$6.A$5.AC!
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