Visual Art and Conway's Game of Life

For general discussion about Conway's Game of Life.
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rbosch
Posts: 3
Joined: January 12th, 2015, 3:59 pm

Visual Art and Conway's Game of Life

Post by rbosch »

Hi, everyone.

Earlier today I added a small page to my art site that shows an example
of a Game of Life mosaic and collects links to

1. the paper "Designing Game of Life mosaics with integer programming"
2. animations of several image-based patterns
3. RLE files for several patterns.

I hope you enjoy it. The link is

http://www.dominoartwork.com/life.html

Best,

Bob Bosch
User avatar
simsim314
Posts: 1828
Joined: February 10th, 2014, 1:27 pm

Re: Visual Art and Conway's Game of Life

Post by simsim314 »

I was thinking about making life pattern more visually appealing.

Fast search on the web came up with these concepts:

http://vimeo.com/81969424
http://blenderartists.org/forum/showthr ... me-of-Life

So I thought I will make something like this in golly:

Code: Select all

@RULE LifeArt

@TABLE
# state 0:  OFF
# state 1,2,3,4,5,6:  ON             
n_states:7
neighborhood:Moore
symmetries:rotate8

var a={0}
var b={0}
var c={0}
var d={0}
var e={0}
var f={0}
var i={0,1,2,3,4,5,6}
var j={0,1,2,3,4,5,6}
var k={0,1,2,3,4,5,6}
var l={0,1,2,3,4,5,6}
var m={0,1,2,3,4,5,6}
var n={0,1,2,3,4,5,6}
var o={0,1,2,3,4,5,6}
var p={0,1,2,3,4,5,6}
var q={1,2,3,4,5,6}
var R={1,2,3,4,5,6}
var S={1,2,3,4,5,6}
var T={1,2,3,4,5,6}


# normal 3-neighbour birth
0,R,S,T,a,b,c,d,e,1
0,R,S,a,T,b,c,d,e,1
0,R,S,a,b,T,c,d,e,1
0,R,S,a,b,c,T,d,e,1
0,R,S,a,b,c,d,T,e,1
0,R,a,S,b,T,c,d,e,1
0,R,a,S,b,c,T,d,e,1
#1->2
# 3-neighbour color upgrade 
1,R,S,T,a,b,c,d,e,2
1,R,S,a,T,b,c,d,e,2
1,R,S,a,b,T,c,d,e,2
1,R,S,a,b,c,T,d,e,2
1,R,S,a,b,c,d,T,e,2
1,R,a,S,b,T,c,d,e,2
1,R,a,S,b,c,T,d,e,2

# 2-neighbour color upgrade 
1,R,S,a,b,c,d,e,f,2
1,R,a,S,b,c,d,e,f,2
1,R,a,b,S,c,d,e,f,2
1,R,a,b,c,S,d,e,f,2

#2->3
# 3-neighbour color upgrade 
2,R,S,T,a,b,c,d,e,3
2,R,S,a,T,b,c,d,e,3
2,R,S,a,b,T,c,d,e,3
2,R,S,a,b,c,T,d,e,3
2,R,S,a,b,c,d,T,e,3
2,R,a,S,b,T,c,d,e,3
2,R,a,S,b,c,T,d,e,3

# 3-neighbour color upgrade 
2,R,S,a,b,c,d,e,f,3
2,R,a,S,b,c,d,e,f,3
2,R,a,b,S,c,d,e,f,3
2,R,a,b,c,S,d,e,f,3


#3->4
# 4-neighbour color upgrade 
3,R,S,T,a,b,c,d,e,4
3,R,S,a,T,b,c,d,e,4
3,R,S,a,b,T,c,d,e,4
3,R,S,a,b,c,T,d,e,4
3,R,S,a,b,c,d,T,e,4
3,R,a,S,b,T,c,d,e,4
3,R,a,S,b,c,T,d,e,4

# 4-neighbour color upgrade 
3,R,S,a,b,c,d,e,f,4
3,R,a,S,b,c,d,e,f,4
3,R,a,b,S,c,d,e,f,4
3,R,a,b,c,S,d,e,f,4


#4->5
# 5-neighbour color upgrade 
4,R,S,T,a,b,c,d,e,5
4,R,S,a,T,b,c,d,e,5
4,R,S,a,b,T,c,d,e,5
4,R,S,a,b,c,T,d,e,5
4,R,S,a,b,c,d,T,e,5
4,R,a,S,b,T,c,d,e,5
4,R,a,S,b,c,T,d,e,5

# 5-neighbour color upgrade 
4,R,S,a,b,c,d,e,f,5
4,R,a,S,b,c,d,e,f,5
4,R,a,b,S,c,d,e,f,5
4,R,a,b,c,S,d,e,f,5

#5->6
# 6-neighbour color upgrade 
5,R,S,T,a,b,c,d,e,6
5,R,S,a,T,b,c,d,e,6
5,R,S,a,b,T,c,d,e,6
5,R,S,a,b,c,T,d,e,6
5,R,S,a,b,c,d,T,e,6
5,R,a,S,b,T,c,d,e,6
5,R,a,S,b,c,T,d,e,6

# 6-neighbour color upgrade 
5,R,S,a,b,c,d,e,f,6
5,R,a,S,b,c,d,e,f,6
5,R,a,b,S,c,d,e,f,6
5,R,a,b,c,S,d,e,f,6


#6->6
# 6-neighbour color upgrade 
6,R,S,T,a,b,c,d,e,6
6,R,S,a,T,b,c,d,e,6
6,R,S,a,b,T,c,d,e,6
6,R,S,a,b,c,T,d,e,6
6,R,S,a,b,c,d,T,e,6
6,R,a,S,b,T,c,d,e,6
6,R,a,S,b,c,T,d,e,6

# 6-neighbour color upgrade 
6,R,S,a,b,c,d,e,f,6
6,R,a,S,b,c,d,e,f,6
6,R,a,b,S,c,d,e,f,6
6,R,a,b,c,S,d,e,f,6

# Otherwise ON states die and become the history state
q,i,j,k,l,m,n,o,p,0

@COLORS
0    0     0     0
1    255  254    244
2    230  210  105
3  220  150  105
4  150    68    68
5  78  43    50
6   30   30   80
It's not the same but it has very nice feature of distinguishing between stable and non stable parts of the pattern.

Here is sample of something which looks interesting:

Code: Select all

x = 1248, y = 338, rule = LifeArt
317.6A$316.A5.A347.6A$322.A346.A5.A$316.A4.A353.A$318.2A349.A4.A$331.
4A336.2A$330.A3.A349.4A$325.2A7.A348.A3.A$324.4A2.A2.A353.A$276.3A33.
A.A8.A3.2A339.A.A8.2A2.A2.A$275.5A32.2A10.4A2.A2.A295.3A36.2A9.3A$
275.3A.2A32.A11.2A7.A293.5A36.A9.2A2.A2.A$278.2A50.A3.A293.3A.2A53.A$
331.4A296.2A50.A3.A$684.4A$294.A.A23.2A328.A.A$294.2A20.4A.2A327.2A
21.2A$295.A20.6A329.A17.4A.2A$317.4A348.6A$282.A387.4A$283.A$281.3A$
311.2A$295.3A11.2A.2A331.3A16.2A$295.A13.4A16.2A314.A16.2A.2A$296.A
13.2A15.2A.2A314.A15.4A16.2A$327.4A332.2A15.2A.2A$258.A.A67.2A330.A
19.4A$258.2A49.A350.A20.2A$259.A48.3A3.2A343.A.A$307.5A.3A9.3A331.A$
311.3A9.A3.2A295.A34.A15.2A3.A$311.3A9.A.A2.2A295.A47.3A4.2A$257.5A
50.A9.A5.A294.3A46.A2.A5.2A$256.A4.A49.A11.A2.2A282.5A57.A7.2A$261.A
61.A285.A4.A57.2A$256.A3.A64.A288.A317.2A$258.A59.A2.A287.A3.A316.2A.
2A13.2A$322.A6.2A280.A59.A2.A255.4A13.4A$318.A3.A4.2A.2A343.A6.2A247.
2A14.2A.2A$319.4A4.4A340.A3.A4.2A.2A264.2A$328.2A342.4A4.4A244.A$681.
2A244.3A$295.2A629.A.2A3.A11.A$292.3A.2A19.2A5.A2.A320.2A276.A6.A10.
4A$292.5A19.4A8.A316.3A.2A19.2A5.A2.A239.A6.A14.5A.A$293.3A20.2A.2A3.
A3.A316.5A19.4A8.A239.2A18.A6.2A$318.2A5.4A317.3A20.2A.2A3.A3.A238.2A
18.A3.A.3A$266.2A25.A377.2A5.4A259.A3.3A$252.A11.A4.A22.A21.A304.2A
321.A$253.A16.A22.A19.2A302.A4.A285.2A5.A$251.3A10.A5.A41.A.2A7.2A
298.A50.2A229.3A.2A5.2A30.2A$265.6A27.A.A11.A.A7.A2.2A290.A5.A41.2A3.
3A4.A227.5A5.2A22.4A4.4A$298.2A12.2A3.A3.3A2.A291.6A37.3A.A3.5A4.2A
226.3A22.A2.A3.A3.A4.2A.2A$299.A14.A.3A2.A4.A321.A.A11.3A3.A2.2A6.A
255.A6.A6.2A$321.5A322.2A13.A4.2A9.A230.A20.A3.A2.A2.A$316.A5.2A325.A
25.A2.A232.2A8.2A9.4A$676.A233.2A8.2A5.3A$324.A2.A293.3A292.3A6.2A.2A
$300.2A15.2A9.A291.A2.A53.A2.A239.2A5.3A$285.A12.2A.2A11.3A.2A4.A3.A
291.A32.2A15.2A9.A239.2A9.4A$285.A8.A3.4A12.5A6.4A265.A25.2A29.2A.2A
11.3A.2A4.A3.A249.A3.A$268.A.A18.2A2.A.A3.2A14.3A277.A28.3A12.3A5.A3.
4A12.5A6.4A253.A$268.2A10.2A6.A2.2A3.A296.3A27.A3.A8.A2.3A3.2A.A3.2A
14.3A260.A2.A$269.A19.2A2.A.A3.2A322.3A.A8.A.A6.A3.A$285.A8.A3.4A321.
4A9.A2.3A3.2A.A3.2A$285.A12.2A.2A336.3A5.A3.4A$300.2A349.2A.2A$277.A
2.A372.2A$281.A348.A2.A281.A2.A$269.A7.A3.A352.A260.A23.A$267.3A3.A4.
4A335.2A11.A3.A261.2A17.A3.A$267.2A5.2A318.A24.A11.4A260.2A19.4A13.4A
$266.A6.3A319.A18.A7.2A2.3A303.A3.A$267.2A5.2A317.3A17.A8.2A2.3A307.A
$267.3A3.A4.4A12.5A7.2A306.A7.2A2.3A270.6A27.A2.A$269.A7.A3.A11.A4.A
5.2A.2A310.A11.4A12.5A7.2A237.A5.A8.3A$281.A16.A5.4A309.2A11.A3.A11.A
4.A5.2A.2A242.A7.A3.A.A.A10.A$277.A2.A12.A3.A7.2A327.A16.A5.4A237.A4.
A8.A7.A10.3A$222.A72.A334.A2.A12.A3.A7.2A240.2A5.A5.2A15.A3.A$223.A
424.A256.A.A19.3A4.A$221.3A48.3A12.2A15.A317.3A281.2A10.A8.3A.A.2A$
272.A19.3A9.2A316.A32.3A269.2A3.A$273.A12.A3.A12.A.2A316.A20.A.A6.A3.
2A270.A.A$248.2A36.2A6.A8.A.A337.A2.A6.A.A2.2A242.A$244.4A.2A37.2A.A.
2A8.2A296.2A38.4A.A5.A5.A221.A19.A.A$244.6A40.A306.4A.2A37.2A2.A7.A2.
2A223.2A18.2A12.A2.A7.2A5.4A$140.6A99.4A245.6A97.6A50.A226.2A13.A23.A
4.2A.2A3.A3.A$139.A5.A149.A2.A194.A5.A98.4A53.A240.2A4.2A11.A3.A4.4A
8.A$145.A153.A6.2A16.5A170.A148.A2.A238.7A7.A11.4A5.2A5.A2.A$139.A4.A
77.A72.A3.A4.2A.2A14.A4.A18.A2.A142.A4.A153.A6.2A14.5A213.3A3.A7.2A2.
3A$141.2A80.A48.5A19.4A4.4A20.A22.A6.2A135.2A67.A83.A3.A4.2A.2A12.A4.
A18.A2.A191.A4.A8.2A2.3A$154.4A63.3A47.A4.A28.2A16.A3.A19.A3.A4.2A.2A
147.4A53.A59.5A19.4A4.4A18.A22.A6.2A188.A7.2A2.3A$153.A3.A118.A48.A
22.4A4.4A147.A3.A51.3A58.A4.A28.2A14.A3.A19.A3.A4.2A.2A180.A11.A11.4A
$149.A7.A113.A3.A81.2A144.A7.A117.A45.A23.4A4.4A181.A.A7.2A11.A3.A$
144.7A2.A2.A116.A52.2A170.7A2.A2.A113.A3.A79.2A182.2A25.A$99.3A41.A2.
3A.2A148.2A24.A126.3A41.A2.3A.2A120.A47.2A19.2A40.A2.A174.A2.A$98.5A
29.A.A9.7A2.A2.A139.4A.2A29.A13.3A7.A95.5A29.A.A9.7A2.A2.A140.2A88.A$
98.3A.2A28.2A15.A7.A138.6A30.A.A11.A9.2A94.3A.2A28.2A15.A7.A135.4A.2A
40.A2.A7.3A29.A3.A$101.2A30.A19.A3.A139.4A31.2A12.3A6.A.2A96.2A30.A
19.A3.A135.6A27.A12.2A.2A5.A3.2A29.4A13.4A$154.4A191.3A3.A.A150.4A
136.4A28.A.A11.A.5A2.A.A2.2A44.A3.A39.4A63.A$355.2A323.2A13.A2.3A.A5.
A49.A38.A3.A12.A2.A48.2A$143.2A352.2A65.A132.2A4.A2.2A46.A2.A43.A16.A
46.2A$114.A.A22.4A.2A322.A.A22.4A.2A65.A137.A31.3A59.A2.A13.A3.A$114.
2A23.6A323.2A23.6A64.3A139.A28.A3.A.A.A10.A61.4A201.2A199.2A$115.A24.
4A186.4A12.5A7.2A109.A24.4A154.3A79.A7.A10.3A263.4A197.4A$318.A10.A3.
A11.A4.A5.2A.2A99.3A189.3A26.4A12.5A7.2A18.A5.2A15.A3.A198.2A62.2A.2A
196.2A.2A$302.A14.A.A4.2A7.A16.A5.4A100.A190.A2.A15.A9.A3.A11.A4.A5.
2A.2A15.A.A19.3A4.A39.3A3.2A52.A.A17.2A75.2A.2A13.2A48.2A15.2A182.2A
15.2A$112.3A187.A.A10.2A2.A3.4A2.A2.A12.A3.A7.2A102.A189.A2.2A.A13.2A
11.A16.A5.4A17.2A10.A8.3A.A.2A32.A5.A3.A2.2A9.2A42.2A17.4A22.2A49.4A
13.4A62.2A.2A196.2A.2A$112.A21.2A56.A109.2A9.2A.A5.A3.2A19.A102.A.A
35.2A161.A2.A3.A9.3A5.2A2.A2.A12.A3.A7.2A4.A34.2A3.A35.A3.A5.A11.A2.
2A40.A17.A4.A20.4A49.2A14.2A.2A61.4A42.4A151.4A$113.A18.2A.2A56.A121.
2A2.A3.4A2.A2.A117.2A34.2A.2A162.A3.2A8.3A6.3A19.A13.A3.A34.A.A34.3A
9.A10.3A2.A58.2A2.2A8.A11.2A.2A66.2A63.2A42.A3.A12.A2.A136.2A$132.4A
16.2A37.3A123.A.A4.2A7.A117.A23.3A8.4A16.2A160.3A5.2A2.A2.A33.A6.A69.
A5.A10.A4.A62.A7.2A.A3.A2.A5.2A46.A133.A16.A$128.A4.2A15.2A.2A163.A
10.A3.A141.A11.2A15.2A.2A162.2A11.A27.A4.A4.A.A71.A.2A11.5A69.5A4.A3.
A51.3A58.A.A13.A3.A49.A2.A13.A3.A109.A.A13.A3.A$98.A28.A.A20.4A176.4A
142.A27.4A162.A9.A3.A28.5A5.2A23.2A5.4A25.A27.2A71.A2.A4.A4.2A49.A.2A
3.A11.A43.2A13.2A5.3A62.4A110.2A13.2A5.3A$99.A26.A24.2A352.2A174.4A
55.2A4.2A.2A3.A3.A14.5A7.A99.5A4.A3.A50.A6.A10.4A41.A9.2A9.A.3A175.A
9.2A9.A.3A$97.3A28.2A609.4A3.4A8.A13.A4.A5.3A21.2A5.A2.A32.A17.A7.2A
9.2A.A3.A2.A5.2A14.2A22.A6.A14.5A.A49.A6.A8.2A36.A146.A6.A8.2A$304.5A
184.2A224.A19.2A.2A3.2A5.A2.A19.A28.4A8.A32.2A14.A2.A7.A10.A11.2A.2A
4.4A4.4A22.2A18.A6.2A47.A3.A3.8A.A38.A18.A.A123.A3.A3.8A.A$141.A.A3.
4A152.A4.A18.A2.A156.3A3.2A9.A150.5A57.A12.3A.2A5.2A29.A3.A29.2A.2A3.
A3.A31.2A16.2A8.A22.4A4.A3.A4.2A.2A20.2A18.A3.A.3A34.A.A12.A3.A7.4A
37.3A12.3A.2A3.A108.A.A12.A3.A7.4A$139.A4.A2.A2.2A156.A22.A6.2A147.3A
14.2A148.A4.A18.A2.A36.A.A8.2A5.A37.A4.A21.2A5.2A5.4A57.3A23.2A9.A6.
2A42.A3.3A24.3A9.2A16.A8.A51.2A4.4A.A.2A95.3A9.2A16.A8.A$139.A3.A4.A
2.2A150.A3.A19.A3.A4.2A.2A145.A3.A12.A.2A113.A38.A22.A6.2A28.A8.A7.2A
42.A18.2A.2A73.3A8.A20.A2.A52.A28.5A8.A76.2A5.5A4.A94.5A8.A$80.5A53.A
3.A5.A2.A40.A112.A22.4A4.4A94.5A47.4A13.A.A114.A.A31.A3.A19.A3.A4.2A.
2A37.2A5.A41.3A6.3A5.A3.4A75.A.A7.2A41.2A5.A55.3A.2A27.A2.A39.A13.2A
4.A5.A3.A94.3A.2A27.A2.A$79.A4.A54.2A8.2A42.A121.A21.2A94.A4.A48.3A
13.2A29.A85.2A34.A7.A14.4A4.4A23.A15.3A.2A5.2A41.A2.3A3.2A.A3.2A76.A
2.A5.A.A38.3A.2A5.2A30.2A24.2A32.A6.2A31.A12.5A8.3A98.2A32.A6.2A$84.A
54.2A50.3A120.A.A121.A96.A127.3A22.2A22.A.A24.2A.2A40.A.A6.A3.A43.A.A
35.2A20.3A13.2A9.5A5.2A22.4A4.4A27.A.A23.A3.A4.2A.2A28.3A14.2A9.A104.
A.A23.A3.A4.2A.2A$79.A3.A196.2A28.3A4.A115.A3.A95.3A123.2A5.A46.2A24.
4A41.A2.3A3.2A.A3.2A40.2A56.4A13.A.A9.3A22.A2.A3.A3.A4.2A.2A27.2A17.
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.A12.4A$256.A51.2A.2A5.A3.2A286.A45.3A.2A11.A2.2A$251.A3.A53.A.5A2.A.
A2.2A280.A3.A46.3A.3A11.A2.2A$253.A56.A2.3A.A5.A283.A49.2A.2A12.A2.A$
314.A3.A2.2A335.3A3.2A9.2A$318.A340.A4.2A$320.A$258.2A38.A$257.2A39.A
.A23.2A300.2A50.2A$259.A38.2A22.2A.2A298.A.A18.A29.2A.2A$306.2A14.4A
301.A18.A.A11.2A14.4A$304.2A.2A14.2A321.2A10.2A.2A14.2A$283.A20.4A
350.4A$276.2A5.A.A19.2A352.2A$275.2A6.2A$277.A2$315.2A352.2A$267.2A.
2A39.4A.2A347.4A.2A$294.2A15.6A331.2A15.6A$293.2A17.4A9.A2.A318.2A17.
4A9.A2.A$271.3A21.A33.A295.3A21.A33.A$270.5A50.A3.A294.5A50.A3.A$270.
3A.2A41.A3.A4.4A294.3A.2A41.A3.A4.4A$273.2A42.A4.2A303.2A42.A4.2A$
312.2A7.3A342.2A7.3A$311.2A9.2A341.2A9.2A$313.A7.A4.4A337.A7.A4.4A$
325.A3.A349.A3.A$329.A353.A$325.A2.A350.A2.A2$312.6A348.6A$311.A5.A
347.A5.A$317.A353.A$311.A4.A348.A4.A$313.2A352.2A!
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