## +4-5-6c3

For discussion of other cellular automata.
12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

### +4-5-6c3

Post patterns for this rule here.

Chaotic growth:

Code: Select all

``````x = 4, y = 4, rule = +4-5-6c3
4B\$B\$B\$B!
``````

Why hasn't a glider exploded yet?

137ben
Posts: 343
Joined: June 18th, 2010, 8:18 pm

### Re: +4-5-6c3

What's the rule? Could ya give a rule table?

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

### Re: +4-5-6c3

The rule is in the RuleTree format.
Use make-ruletree.py after copying this to the keyboard:

Code: Select all

``````name = "+4-5-6c3"
n_states = 3 # must match states
n_neighbors = 8
def transition_function(a):
# +4-5-6:3
plus = [4] # +x
minus = [5,6] # -x
states = 3 # must match n_states

p = 0
m = 0
n = a[0] + a[1] + a[2] + a[3] + a[4] + a[5] + a[6] + a[7]
for i in plus:
if n == i:
p = 1
for i in minus:
if n == i:
m = 1
if p == 1:
if a[8] == (states - 1):
return a[8]
else:
return a[8] + 1
if m == 0:
if a[8] == 0:
return a[8]
else:
return a[8] - 1
return a[8]
``````

Why hasn't a glider exploded yet?

flipper77
Posts: 197
Joined: October 24th, 2010, 3:25 am
Location: Spokane, WA

### Re: +4-5-6c3

Here's a small collection of common objects and some others I put together:

Code: Select all

``````x = 60, y = 66, rule = +4-5-6c3
20.BA\$19.2B.B\$22.2B\$18.A2B2.A\$18.AB.BA\$21.B\$21.B\$21.B\$21.B\$21.B\$21.B\$
21.B\$21.B\$21.B\$21.B\$21.B\$21.B\$21.B\$18.AB.BA\$12.B5.A2B2.A\$11.ABA8.2B\$
12.A6.2B.B\$12.A7.BA\$11.ABA\$12.B\$27.AB\$21.B4.B.2B\$20.3B2.2B3.A\$25.A3.
2B\$19.A2B4.2B.B\$11.A7.AB6.BA\$11.BA\$10.AB\$11.A\$2.B\$.3B2\$5B\$A3.A2\$23.A\$
15.3B5.AB15.2ABA11.AB2A\$23.A15.AB.2B11.AB.BA\$9.3A28.B.A11.ABA.B\$9.2B
29.B.AB14.B\$40.B3.A10.BA.B\$7.A2B30.B3.2B9.A2.B\$7.AB14.A16.A3.B13.B\$
23.AB16.A.A14.B\$24.A33.B\$58.B\$44.2B12.B\$43.A2.A11.B\$43.BA.A11.B\$44.B
2A11.B\$45.A8\$27.2A.A\$27.2B.A\$27.2AB!
``````
And finally here's a quadratic growth pattern:

Code: Select all

``````x = 3766, y = 2741, rule = +4-5-6c3
1567.2ABA\$1566.AB.BA\$1567.B.BA\$1567.B2.A\$1567.B\$1567.B\$1567.B\$1567.B\$
1567.B\$1567.B\$1567.B\$1567.B6\$1569.A2.2A\$1567.AB.2B5.A\$1568.A2.B4.4A\$
1567.AB9.2B\$1567.A9.B2A5\$1570.BA3.A\$1570.A.B.2B\$1570.3A.A.A\$1572.2BA.
B\$1576.2B\$1576.A5\$1573.B\$1560.3A9.A2B\$1561.B13.A\$1560.3A8.2B\$1575.A\$
1572.A2B\$1573.B6\$1568.2AB\$1567.B2.B\$1566.ABABA\$1566.A2.A\$1566.2B4.A2B
\$1566.B2.A.AB.A\$1567.BA3.A.A\$1567.AB.B.2B\$1569.2B2A22\$1569.2A\$1568.B.
2B\$1564.AB.AB4.A\$1564.AB.A4.2B\$1564.A3.A3.B\$1568.B2.B\$1567.BAB\$1568.A
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1568.2B\$1569.A10\$1569.2A\$1569.2B\$1566.AB4.BA\$1565.AB2.2B2.BA\$1565.B2.
A2.A2.B\$1565.AB2.2B2.BA\$1566.AB4.BA\$1569.2B\$1569.2A\$1560.3A\$1561.B\$
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A.AB.BA.A.AB11.2A2.BA71.2A2.B.2A.A8.BA47.BA6.2A\$38.A.BA2.BA11.B3.B15.
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2.A.A14.B2.2A27.A.A17.B3AB3.B3AB7.AB.A55.BA20.A.B3.A64.A6.2A1267.3A\$
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3.2A2.AB1268.B\$52.2A4.A2.BA17.A69.A.A54.A.A20.B.B.2A3.3A3.2AB.B48.2AB
2.BA2.A\$57.A3.BA88.A2B53.AB22.ABA.AB.A2.A.B.A3.2B47.A2.B.A.A2.A\$54.BA
.B.A.BA90.A54.A16.2B6.B.B2.3AB.B7.A46.A3B5.2A\$54.A2.B150.2A15.A.B4.2B
2.B2.AB2.B.A3.ABA47.A4.B2A95.A9.2A\$54.3A151.3A14.BA5.A.B.B5.2AB5.B.B
46.A2B2.AB25.AB68.B.B8.2BA\$208.2AB15.BA5.2A9.2A5.B48.A28.4A.AB64.BA2.
A5.B.ABA\$226.A8.A12.B79.A4.ABA64.2A2.B2.A.ABA\$226.A20.3A77.ABA3B.A67.
A.B\$225.3B19.B80.A2.2AB.AB69.B.A.2A.2A\$225.A106.AB.2A69.A.2B1184.A\$
319.BA3.AB7.B.A69.A.A.B.A1182.AB\$318.B2A3.2AB6.A.A76.BAB1179.A\$318.2A
5.2A5.ABA76.2A.A\$333.A64.A.A\$322.A74.B.A.BA79.B74.B74.B74.B74.B74.B
74.B74.B74.B74.B74.B74.B74.B74.B\$396.AB2.B.A78.3A72.3A72.3A72.3A72.3A
72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A\$318.2A5.2A69.AB.2ABA.A.
2A\$318.B2A3.2AB71.A.A2.ABA2.B4.2A\$319.BA3.AB73.A4.A.AB2A3.2A\$397.AB3.
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.A\$3571.B6\$1550.BA\$1549.2A32\$1598.A\$1598.AB\$1599.A21\$1708.A74.A74.A
74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A74.A
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73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.AB73.A
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.A6.2A47.AB2A.2A2.A.B5.2AB\$3522.AB.BA5.2B24.B21.2AB.BA2.A3.B2A2B2A.BA
\$3521.ABA.ABA.AB26.BA21.AB3.A2.AB.B5A.2BA42.B\$3455.4A45.AB22.ABA3.A
23.A22.B.A2.2A.2ABA3.A.A44.ABA\$3455.B3A45.A2B8.ABAB2.ABA.AB.B3.3A45.B
2.A3.BA52.AB.BA\$3455.A.2A48.2A6.AB5.AB.B3A3B23.AB24.B2.2A2.A24.A.A72.
A.A\$3456.ABA48.ABA13.A.A4.A.A21.B.BA22.AB5.2B12.BA10.ABA22.A2BA46.ABA
14.2AB\$3506.2A2.A18.AB4.2B17.ABA23.2A2B.2B2A11.B.BA9.A.A22.AB28.AB18.
A.A9.AB.B.B2A\$3506.A2.2B25.A44.2A.B.2A13.ABA63.4A30.B.BA8.B\$3509.B21.
A51.A2.2A7.3BA68.BA4.A27.A3.B6.A.A35.2AB\$3507.A3.B19.BA51.B.BA6.B.A2.
2B2A43.A21.A3.A27.3B.A7.B.2A34.A.B\$3506.A3.2BA6.A11.A2.A48.2B.B2A5.BA
B6.A41.2A25.B20.2A4.A3.A7.A.A.A34.2BA11.A\$3510.B6.ABAB10.3AB47.A.B.A
7.B3.BAB.2B10.3A7.3A17.A25.ABA19.B.3B3.A13.B47.3BA\$1550.BA1958.AB6.B
3.B9.B.A47.2A.2ABA5.A2.B.2A3.B9.2B9.2B42.A21.AB2.A2.4A12.B37.4A9.A\$
1549.2A1960.A6.B3.B58.ABA.A.B7.B.2A.2A.B.A8.A11.A9.A9.A28.3A13.2AB.B.
AB.B12.A2.BA34.B3A5.3A2B\$3446.ABA68.2B3.BA58.A.A2BA4.B2.B.B2AB.B2.BA
7.A11.A8.BA9.BA26.AB2A18.B.A.A13.B.B34.A2.2A5.A2.BA\$3446.2BA5.2BA52.A
8.B3.A.BA60.A4.B.A.A3.A2.B.ABA7.2B9.2B8.A10.A27.2A18.B.B3.2B12.A.B33.
AB2.BA\$1638.AB1806.5A2.B2.B50.2A.A4.A2.BA3.B.A65.A2B.A.B2.2B.BA9.3A7.
3A16.B2A2BA25.2A.2B15.B2.A.3A.A10.A2.A32.A2B\$1639.2A1807.A2B2.BAB.BA
44.AB4.2B3.2B3.B3.A2.A65.2A2.AB.B2.B39.2B33.BA15.A2B8.BA7.A2BA33.A\$
3448.ABA2.A3.BA43.2A.2A2.B4.A.A.3A3.B2A71.B2.2A40.B.3B46.A.3A.A2BA.A\$
1677.A1671.2BA101.A2BA45.4A.B2.A3.AB2A.BA4.A73.A2B43.B55.3A11.A\$1676.
BA1672.B3.B93.A5.B48.A3.3BA5.4A80.2A\$1677.A1667.2B3.B2.3B91.BA54.B6.B
\$3345.A3.AB.B95.A52.BA5.BA3.A\$3342.A.2A3.AB.A.2B145.2A4.AB.3BA\$3341.A
.A.A8.B98.B54.B4.B\$3342.A2B4.BA102.2B53.2A.B18.A\$3343.A2.ABABA103.B
53.2A.BA18.B\$3345.AB2.BA159.A16.A4.A\$3347.BA78.B4.BA92.BAB\$3429.2A.BA
92.A.A\$3433.A\$3353.ABA\$1697.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.
3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A72.3A
78.3B73.A\$1698.B74.B74.B74.B74.B74.B74.B74.B74.B74.B74.B74.B74.B74.B
74.B74.B74.B74.B74.B74.B74.B74.B80.A74.A2B\$3354.A74.2AB\$3348.B\$3347.
2A.2B\$3350.2A4.A\$3354.BA.B\$3355.B.2B\$3348.2A5.B.B\$3349.BA4.B\$3355.2B\$
3285.A68.A\$3284.3B67.4A\$3283.AB.BA69.BA\$3284.3B\$3285.A\$1609.BA\$1608.
2A\$1620.A\$1620.BA\$1619.AB\$1619.A34\$1550.BA\$1549.2A17\$1598.A\$1598.AB\$
1599.A25\$1598.A\$1598.AB\$1599.A!
``````

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

### Re: +4-5-6c3

That Q.G. pattern's really nice.

Why hasn't a glider exploded yet?

ssaamm
Posts: 125
Joined: June 4th, 2010, 9:43 pm

### Re: +4-5-6c3

QG's found by colliding rake-outputs:

Code: Select all

``````x = 58, y = 135, rule = +4-5-6c3
55.2A\$53.AB.BA\$53.AB.AB\$54.B.A\$54.B.A\$54.B\$54.B\$54.B\$54.B\$54.B\$54.B\$
54.B\$54.B\$54.B\$54.B\$54.B\$54.B\$54.B\$54.B\$54.B\$54.B\$54.A\$53.A90\$2.2A\$AB
.BA\$AB.AB\$.B.A\$.B.A\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.B\$.
A\$A!
``````

Code: Select all

``````x = 30, y = 29, rule = +4-5-6c3
27.2A\$25.AB.BA\$25.AB.AB\$26.B.A\$26.B.A\$26.B\$26.B\$26.B\$26.B\$26.B\$26.B\$
26.B\$26.B\$26.B\$26.B\$26.B\$26.B\$26.B\$26.B\$26.B\$26.B\$26.A\$25.A2\$.2A19.A\$
.20BA\$A\$AB3A\$.AB!
``````

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

### Re: +4-5-6c3

Giant spaceship (p152)

Code: Select all

``````x = 367, y = 41, rule = +4-5-6c3
344.A\$343.3A\$343.BAB2\$343.A.A\$243.2A97.A3.B.2A\$113.AB128.B97.A.B.2B.B
A2.B\$63.3A47.A2.A124.B.A98.2B2.A4.2B\$63.2AB49.A.B122.A2BA100.2B2.A2.B
2.AB\$58.ABA3.A48.B116.A10.2A100.B5.A2.A.B4.A\$58.3B2.2B48.BA98.BA14.2A
112.A.2A.A.B.A2.A2B.B3A\$55.2A8.A.BA10.BA7.AB21.AB.A5.B65.2A5.A2B.A15.
2A13.A2.A111.B3A2.B2.2B.B2.2B.B\$18.3A.3A13.B16.ABA3B6.3A9.A.2A6.2B20.
AB.A4.3A64.2B3.A2.B.ABA7.A5.A12.B2.A.A112.2A.A3.B11.2B.2A\$18.2B2.ABA
12.2B3A14.A2.2A4.A.BA9.A2.B8.A22.BA70.BA3.2A5.BA6.A.B2.B2A12.2A.A.A
118.B2.2B4.A5.2A\$19.B3.AB11.A3.BA14.BA21.2B2.B2.B2A24.B73.B4.B3A6.2B
2.A.BAB15.A.A.BA3.A39.A70.2A.2B6.3A\$20.A4.B11.BA.B14.A24.A.B2AB.B27.A
.B48.2A3.B13.A2.A3.AB9.ABA2.A2.2B2.2A10.2AB.BAB2.B37.A2B70.B2.A3.A.B
2.A.B.B.2B\$3.2BA17.3A11.AB.B9.AB28.A.A2.A27.A2.A5.AB43.B3.B.B6.AB2.A.
2B4.A10.B.A.B.B.B2.2BA8.A2.ABA.2A.A2B36.2A37.B.A24.AB.A10.A2B.A.ABA.A
B\$2A2.BA10.2A5.A.2A11.A.A8.A.B.ABA23.A.BA3.A26.AB6.A.B39.2AB.A4.2B5.A
.A3B.2A15.B3.B.A6.A8.A10.A39.ABA34.2BABA22.ABA2B11.A.B3.BA\$2BA.2A9.AB
A6.BA14.A9.2A.A2.A21.B3.A2.A2B33.AB40.2B2A12.BA3.A10.A10.AB7.B55.A3.A
2BA32.AB3.2A23.A2.BA7.2A2.B2A\$A14.BA21.ABA.2BA4.A2.B2.ABA19.3A2B.2A3.
B33.B40.A2.A16.A8.ABAB4.2A.A3.BA62.AB3.2A5.A27.B2A.2BA25.B8.A.A3.A\$AB
2A35.A3.A3.2A2B.B.B.B21.A3.B.B3.2A32.B40.ABA13.AB.B8.AB2.2A3.3B3.3A
61.B12.AB28.A3.A24.A.AB\$A14.BA21.ABA.2BA4.A2.B2.ABA19.3A2B.2A3.B33.B
40.A2.A16.A8.ABAB4.2A.A3.BA62.AB3.2A5.A27.B2A.2BA25.B8.A.A3.A\$2BA.2A
9.ABA6.BA14.A9.2A.A2.A21.B3.A2.A2B33.AB40.2B2A12.BA3.A10.A10.AB7.B55.
A3.A2BA32.AB3.2A23.A2.BA7.2A2.B2A\$2A2.BA10.2A5.A.2A11.A.A8.A.B.ABA23.
A.BA3.A26.AB6.A.B39.2AB.A4.2B5.A.A3B.2A15.B3.B.A6.A8.A10.A39.ABA34.2B
ABA22.ABA2B11.A.B3.BA\$3.2BA17.3A11.AB.B9.AB28.A.A2.A27.A2.A5.AB43.B3.
B.B6.AB2.A.2B4.A10.B.A.B.B.B2.2BA8.A2.ABA.2A.A2B36.2A37.B.A24.AB.A10.
A2B.A.ABA.AB\$20.A4.B11.BA.B14.A24.A.B2AB.B27.A.B48.2A3.B13.A2.A3.AB9.
ABA2.A2.2B2.2A10.2AB.BAB2.B37.A2B70.B2.A3.A.B2.A.B.B.2B\$19.B3.AB11.A
3.BA14.BA21.2B2.B2.B2A24.B73.B4.B3A6.2B2.A.BAB15.A.A.BA3.A39.A70.2A.
2B6.3A\$18.2B2.ABA12.2B3A14.A2.2A4.A.BA9.A2.B8.A22.BA70.BA3.2A5.BA6.A.
B2.B2A12.2A.A.A118.B2.2B4.A5.2A\$18.3A.3A13.B16.ABA3B6.3A9.A.2A6.2B20.
AB.A4.3A64.2B3.A2.B.ABA7.A5.A12.B2.A.A112.2A.A3.B11.2B.2A\$55.2A8.A.BA
10.BA7.AB21.AB.A5.B65.2A5.A2B.A15.2A13.A2.A111.B3A2.B2.2B.B2.2B.B\$58.
3B2.2B48.BA98.BA14.2A112.A.2A.A.B.A2.A2B.B3A\$58.ABA3.A48.B116.A10.2A
100.B5.A2.A.B4.A\$63.2AB49.A.B122.A2BA100.2B2.A2.B2.AB\$63.3A47.A2.A
124.B.A98.2B2.A4.2B\$113.AB128.B97.A.B.2B.BA2.B\$243.2A97.A3.B.2A\$343.A
.A2\$343.BAB\$343.3A\$344.A!
``````

Why hasn't a glider exploded yet?

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

### Re: +4-5-6c3

Strange Q.G.

Code: Select all

``````x = 612, y = 100, rule = +4-5-6c3
573.B.B\$572.AB.BA.ABA\$573.A.A3.BA\$574.B2.4A\$575.B2A\$574.A\$571.B.A\$
571.BA\$572.BA4.BAB\$571.A4.B2.BA\$571.3BAB4.A4.AB\$570.2A2.A.AB.B5.BA\$
571.A.B2.A.2BA\$564.2A.B.2B2.B4.2A\$563.3A2.AB3.B\$563.2A.AB.A3.2A\$562.A
2.A2.A3.A\$563.A.BA\$564.B2.2A.AB\$563.A.A.2A.B\$571.B\$563.BAB3.AB\$563.3A
3.2BA\$564.A4\$282.A\$281.AB\$283.A\$280.2BA.BA287.A\$279.AB3.B.A280.B4A2B\$
280.BA.A.A281.AB.A2.B\$284.AB279.A.A3.A\$80.B2A475.AB2.2A.AB.3A\$80.3B
285.2A188.ABA6.2BA\$82.B191.A4.ABA69.ABA14.2A79.A110.2B10.A32.B\$84.A
185.2A.BA4.A.A70.A15.2A.B68.A7.BA65.2B55.2A30.A.A\$85.A185.A.BA5.B70.A
.2A15.A.B67.BA7.A63.2A.B51.B5.A30.B\$111.A157.B82.A.B15.A.A9.2A57.B.2A
68.AB.B46.AB2.ABA2.2B.B\$110.2B154.A.A2BA70.B6.BA.AB10.B4.B.B9.AB58.A.
BA69.2A42.A4.B.B2.BA2.A.2A\$109.BA129.2A23.BABA2.AB68.2BA4.BA3.A8.BA.A
2.4A41.2A25.AB.B.2B2AB57.B2A46.BABA.2AB.A7.2BA33.2A\$27.2A87.A123.BA
23.B.2A2.B35.2BA33.2A3.2B3.A2.B5.2B49.BA25.BA3.A3.B57.ABA46.B.B4.A.2B
43.BA\$27.3A78.AB6.A25.3A73.3A11.A.A4.B2.BA25.AB36.2A4.A26.AB.A5.BA3.A
2.BA5.2B46.A2.B2.2A26.2B.AB56.2A2.B42.2BA.A7.B\$22.2A3.B2.BA36.B40.B
33.B75.B8.2B3.B2A2.B2A.B26.3A35.B.2A.2B27.2A7.A3.A.A.A5.B48.AB3.2B29.
B58.A.B42.AB2.A2.B\$22.2B5.2BA35.3B38.A.A118.B.B2.B77.B36.A6.BA6.B2.2A
46.3BA.A26.2A60.A44.2BA.AB16.BA\$23.A.B3.2A35.A4.A37.A121.ABA75.2B36.A
16.A2.AB43.2A5.B26.B2.A64.A41.B.B15.2A.B\$4.2A.B13.3A.2B38.2A3.BA36.2B
103.B15.2A47.2BA30.B.AB25.AB5.2B15.B42.B3.2BA4.B2.A22.AB.2BA63.2B41.
3B16.AB\$3.ABA.2B11.2AB.A.A38.2B41.2AB.2A97.2A.B11.B.2A47.AB.A26.B2A4.
BA23.A.B6.2B13.BA3.2A33.A2.2AB3.A6.2BA22.A.B.A65.2B41.A\$.A.A.B2.B7.4A
B2A43.B.BAB31.AB6.AB99.2BAB9.A2B18.A4.A3B47.2A5.A3.B.AB24.A.A5.2A14.B
.B35.2B.A3.A2.A.A6.A23.B65.A\$AB2A12.2B49.A.2A31.A2BA105.A12.AB9.B2.2A
5.2B.AB6.B43.2BA4.A4B.2A24.A24.B.A36.A.3B.B2.B.B3.A91.B.B.A\$A3.A11.2A
.2BA83.A105.ABA10.2A8.BA2.A2.B3.ABAB.B.BA2B.B4.A29.A6.AB2.A7.B28.A2BA
61.A2.B2.B3.3B92.AB.B\$.2B15.A3.A80.ABA105.A12.AB9.2B4.3A7.B3.A6.A28.
2BA5.2A2.A4.B.2A28.A59.2A2.A.2A3.A.A.B92.2A.A\$A3.A11.2A.2BA83.A105.2B
AB9.A2B13.B2A5.2A.B4.A4.ABA13.A9.BA3.A8.2A4.B.BA32.2B56.2B2AB.BA2.B.B
18.A75.BAB11.B2A\$AB2A12.2B49.A.2A31.A2BA105.2A.B11.B.2A18.2A.B4.A4.AB
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``````

Why hasn't a glider exploded yet?