Hexagonal Generations

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Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Hexagonal Generations

Post by Sphenocorona » February 23rd, 2014, 4:48 pm

Unfortunately the Generations algorithm does not support the hexagonal neighborhood. So I decided to try and experiment by making my own Generations rules in the hexagonal neighborhood.
Here's the example of the rule HexGens256-2356-4:

Code: Select all

@RULE HexGens256-2356-4

@TABLE
n_states:4
neighborhood:hexagonal
symmetries:permute

var A={0,2,3}
var B={A}
var C={A}
var D={A}
var a={A,1}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}

#birth
0,1,1,A,B,C,D,1
0,1,1,1,A,B,C,1
0,1,1,1,1,1,A,1
0,1,1,1,1,1,1,1

#survival
1,1,1,A,B,C,D,1
1,1,1,1,1,1,A,1
1,1,1,1,1,1,1,1

#decay and death
1,a,b,c,d,e,f,2
2,a,b,c,d,e,f,3
3,a,b,c,d,e,f,0
This rule has two commonly appearing patterns: a small diagonal 2c/3 'glider' and a large period 6 spiral (it's period 6 but has a mod of 1). I have not found any other objects except for those made by the two objects above, but the number of interactions is already rich and these two objects alone probably make the rule Turing-complete. Here's a sampler of interactions:

Code: Select all

x = 352, y = 266, rule = HexGens256-2356-4
206.ABCBA$205.ABC2.CB$205.B2C4.C$205.A2C.2A$206.BC.AB2A.C$206.AB.2ACA
2.B$207.2B3.BA.C$207.A2B2CBA$209.5A$211.2A$214.2C10.ABCBA$211.C13.ABC
2.CB$211.AB12.B2C4.C$211.A3B10.A2C.2A$213.C.2C9.BC.AB2A.C$216.B9.AB.
2ACA2.B$227.2B3.BA.C$211.B15.A2B2CBA$211.2C16.5A$211.B19.2A$211.AC22.
C$212.BC2A13.A4.CB$212.ABA2BC.CB7.A2B2ACBA$213.A2BC4.C5.2A3B3A$214.AC
3.A7.2AC2.2CB$215.B2.4A6.AC.A.2CA$215.AC.ABCBA2.BC.AB.2A.CB$216.BC.2A
.BA.CB2.ABCBA.CA$216.A2C.A.CA6.4A2.B$217.B2C2.C2A7.A3.CA$217.3A3B2A5.
C4.C2BA$216.ABC2A2BA7.BC.C2BABA$216.BC4.A13.2ACB$216.C22.CA$219.2A19.
B$218.5A16.2C$218.AB2C2BA15.B$216.C.AB3.2B$216.B2.AC2A.BA9.BA$217.C.
2ABA.CB9.CB.C$221.2A.2CA10.CB$219.C4.2CB$220.BC2.CBA10.A$115.A105.ABC
BA11.2B$115.2B120.3A$64.ABA48.3A$65.BA$66.A$75.ABCBA44.ABA$75.BC2.CBA
43.BA$75.C4.2CB39.3A.A$78.2A.2CA39.2B$75.C.2ABA.CB40.A$75.B2.AC2A.BA$
76.C.AB3.2B$79.AB2C2BA$80.5A79.ABA$82.2A79.AB2CBA$80.C82.B4C2BA$163.C
5.2B$163.B2.3A.BA$163.AC.ABA.CA$164.B2.AC.C2A.C2A3.BCBA$165.C.2A2B2A
2.2B4.C.CBA$169.3A4.BC6.CBA$167.C5.C2.B7.2ABA$168.BC3.C3.C6.A2BCBA59.
A$177.CB6.BC2.CBA2.ABC3.CB47.2B$185.C4.2CBABC6.C46.3A$188.2A.2CAC3.3A
$185.C.2ABA.C2A2.2A2B2A.C$185.B2.AC2A.BA2.2AC.CA2.B$186.C.AB3.2B3.AC.
ABA.CA$189.AB2C2BA2.AB.3A2.B$190.5A4.2B5.C$192.2A5.A2B4CB$174.ABA12.B
C10.AB2CBA$173.AB2CBA10.CB12.ABA$173.B4C2BA5.2A$173.C5.2B4.5A$173.B2.
3A.BA2.A2B2CBA$173.AC.ABA.CA3.2B3.BA.C$174.B2.AC.C2A2.AB.2ACA2.B$175.
C.2A2B2A2.2AC.AB2A.C$179.3A3.CA2C.2A$177.C6.CBAB2C4.C$178.BC3.CBA2.AB
C2.CB6.BC$190.ABC2BA5.AB$192.AB2A7.C.ABA$193.ABC6.CB2.BA$194.ABC.C8.A
53.A$BC3.C190.ABCB61.2B$C260.3A$3.3A$C.2A2B2A$B2.AC.C2A$AC.ABA.CA$.B
2.3A.BA$2.C5.2B$3.B4C2BA$4.AB2CBA219.ABA$6.ABA221.BA$19.ABA209.A$20.A
B$21.A5$11.BC3.C$11.C$14.3A$11.C.2A2B2A234.ABA$11.B2.AC.C2A234.BA$11.
AC.ABA.CA235.A17.A$12.B2.3A.BA252.2B$13.C5.2B252.3A$14.B4C2BA$15.AB2C
BA$17.ABA5$277.ABA$278.BA$279.A3$65.BC3.C$65.C$68.3A$65.C.2A2B2A$65.B
2.AC.C2A$65.AC.ABA.CA7.ABA$66.B2.3A.BA7.AB$67.C5.2B8.A$68.B4C2BA$69.A
B2CBA$71.ABA2$290.3A$291.2B$292.A4$322.C.C$324.2A$324.C2A11$349.ABA$
350.BA$351.A3$302.3A$303.2B$304.A21$110.A$109.A2BA201.3A$108.2A4BA
200.2B11.ABCBA$108.2AC2.2CB200.A10.ABC2.CB$109.AC.A.2CA210.B2C4.C$
107.C.AB.2A.CB198.BC10.A2C.2A$110.ABCBA.CA197.C.BC9.BC.AB2A.C$111.4A
2.B199.AB9.AB.2ACA2.B$113.A3.C211.2B3.BA.C$111.C4.CB195.B15.A2B2CBA$
106.ABC3.BC.CBA195.2C16.5A$106.BC205.B19.2A$99.ABA4.AC205.AC22.C$98.A
B2CBA3.B3.3A200.BC2A13.A4.CB$97.A2B4CB2.AC.2A2B2A2.C195.ABA2BC.CB7.A
2B2ACBA$54.ABA41.2B5.C2.B2.AC.C2A.CB195.A2BC4.C5.2A3B3A$55.AB41.AB.3A
2.B.AC.ABA.CA199.AC3.A7.2AC2.2CB$56.A42.AC.ABA.CA.B2.3A.BA199.B2.4A6.
AC.A.2CA$96.BC.2AC.CA2.B2.C5.2B199.AC.ABCBA2.BC.AB.2A.CB$97.C2.2A2B2A
.CA2.B4C2BA199.BC.2A.BA.CB2.ABCBA.CA$102.3A3.B3.AB2CBA200.A2C.A.CA6.
4A2.B$108.CA4.ABA202.B2C2.C2A7.A3.CA$46.BC3.C56.CB209.3A3B2A5.C4.C2BA
$46.C51.ABC.CB3.CBA208.ABC2A2BA7.BC.C2BABA$49.3A46.BC4.C213.BC4.A13.
2ACB$46.C.2A2B2A44.C3.A215.C22.CA$46.B2.AC.C2A43.B2.4A216.2A19.B$46.A
C.ABA.CA43.AC.ABCBA214.5A16.2C$47.B2.3A.BA43.BC.2A.BA.C211.AB2C2BA15.
B$48.C5.2B43.A2C.A.CA211.C.AB3.2B$49.B4C2BA43.B2C2.C2A210.B2.AC2A.BA
9.B$50.AB2CBA45.A4B2A211.C.2ABA.CB9.2C.C$52.ABA48.A2BA216.2A.2CA10.3B
A$105.A12.ABC.CB3.CB192.C4.2CB12.BA$118.BC4.C48.A148.BC2.CBA13.C$118.
C3.A49.A2BA147.ABCBA10.2C$118.B2.4A46.2A4BA163.2A$118.AC.ABCBA45.2AC
2.2CB161.5A$119.BC.2A.BA.C43.AC.A.2CA160.AB2C2BA$119.A2C.A.CA43.C.AB.
2A.CB158.C.AB3.2B$120.B2C2.C2A45.ABCBA.CA157.B2.AC2A.BA$121.A4B2A46.
4A2.B158.C.2ABA.CB$123.A2BA49.A3.C162.2A.2CA$125.A48.C4.CB160.C4.2CB$
169.ABC3.BC.CBA161.BC2.CBA$169.BC172.ABCBA$162.ABA4.AC$161.AB2CBA3.B
3.3A$160.A2B4CB2.AC.2A2B2A2.C$117.ABA41.2B5.C2.B2.AC.C2A.CB$118.AB41.
AB.3A2.B.AC.ABA.CA$119.A42.AC.ABA.CA.B2.3A.BA$159.BC.2AC.CA2.B2.C5.2B
$160.C2.2A2B2A.CA2.B4C2BA$165.3A3.B3.AB2CBA$171.CA4.ABA$109.BC3.C56.C
B$109.C51.ABC.CB3.CBA$112.3A46.BC4.C$109.C.2A2B2A44.C3.A$109.B2.AC.C
2A43.B2.4A$109.AC.ABA.CA43.AC.ABCBA$110.B2.3A.BA43.BC.2A.BA.C$111.C5.
2B43.A2C.A.CA$112.B4C2BA43.B2C2.C2A$113.AB2CBA45.A4B2A$115.ABA48.A2BA
$168.A12.ABC.CB3.CB$181.BC4.C$181.C3.A$181.B2.4A$181.AC.ABCBA$182.BC.
2A.BA.C$182.A2C.A.CA$183.B2C2.C2A$184.A4B2A$186.A2BA$188.A!

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Hexagonal Generations

Post by bprentice » February 23rd, 2014, 6:27 pm

A program that does support the Generations rule family on a hexagonal grid was introduced to this Forum here:

viewtopic.php?f=11&t=1027&p=7429

This program allows new members of the Generations rule family to be specified in two ways. First, the rule can be entered directly into a rule table using the rule parameter dialog. And second, a random rule can be generated by depressing the N key.

A better way to find and explore new members of the rule family might be to write a script for Golly similar to this one:

viewtopic.php?f=11&t=1140&p=8451#p8451

Brian Prentice

EricG
Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

Re: Hexagonal Generations

Post by EricG » February 24th, 2014, 11:29 am

Here's a Golly script for hexagonal generations I posted awhile back:
viewtopic.php?f=9&t=933#p6818
Edit: I just remembered: the script should be updated for the new .rule format, and could also benefit from using hexagonal icons. Unfortunately no time for that just right now!

Since Hexagonal Generations rules are a subset of MCell's Weighted Life definition, you can find examples of hexagonal generations rule in discussions of Weighted Life. See discussions of the Nocturne rule and the Cyclones rules here:
viewtopic.php?f=11&t=935#p6832
and see related rules, like Pinwheel, here:
http://www.mirekw.com/ca/rullex_wlif.html

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Hexagonal Generations

Post by bprentice » February 26th, 2014, 1:59 pm

Here is a Python script that generates and tests random Generations rules on a hexagonal grid:

Code: Select all

from random import randint
import golly as g

def ruleString(v):
  s = set()
  for n in range(0, randint(0, 6)):
    s.add(randint(0, 6))
  a = ['A' , 'B', 'C', 'D', 'E', 'F']
  for i in s:
    t = v + ',' + '1,' * i
    if i < 6:
      for j in range(0, 6 - i):
        t = t + a[j] + ','
    file.write(t + '1\n')

def birth():
  file.write('\n')
  file.write('#birth\n')
  ruleString('0')

def survival():
  file.write('\n')
  file.write('#survival\n')
  ruleString('1')

def decay():
  file.write('\n')
  file.write('#decay\n')
  for n in range(1, noStates):
    file.write(str(n) + ',a,b,c,d,e,f,' + str((n + 1) % noStates) + '\n')

noStates = 5
file = open(g.getdir('rules') + 'test.table', 'w')
file.write('n_states:' + str(noStates) + '\n')
file.write('neighborhood:hexagonal\n')
file.write('symmetries:permute\n\n')
s = 'var A={0'
for n in range(2, noStates):
  s = s + ',' + str(n)
file.write(s + '}\n')
a = ['B', 'C', 'D', 'E', 'F']
for b in a:
  file.write('var ' + b + '={A}\n')
file.write('var a={A,1}\n')
a = ['b', 'c', 'd', 'e', 'f']
for b in a:
  file.write('var ' + b + '={a}\n')
birth()
survival()
decay()
file.close()
g.new('testing rule')
g.setalgo('RuleLoader')
g.setrule('test')
g.select([0, 0, 100, 100])
g.randfill(33)
g.select([])
g.fit()
First set line 32 to the number of states desired. Then place the script in your Scripts directory and connect it to the N key using the Keyboard option of the Preferences dialog. Then repeatedly press N followed by Return until an interesting rule shows up. When one does, simply rename file test.table in your Rules directory to save it. You may need a lot of patience.

Brian Prentice

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » February 26th, 2014, 5:03 pm

I've been exploring this type of CA also. My notation for these type of rules uses the normal Generations rule format, appending "H" to the "B/S" component of the rulestring. The most interesting rule I've found is B2/S1H/C3, which has a natural p999 sparky rotating oscillator. The most common spaceship in the rule is non-monotonic, has speed 22c/158, and has a side spark (!). It could potentially be made into a puffer, but my expectation is that the puffer will be huge, since in this rule nearly all patterns are diehards.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Hexagonal Generations

Post by bprentice » February 26th, 2014, 6:07 pm

Here is another rule that supports guns made from spinners:

Code: Select all

@RULE B234_S1H_C4

@TABLE

n_states:4
neighborhood:hexagonal
symmetries:permute

var A={0,2,3}
var B={A}
var C={A}
var D={A}
var E={A}
var F={A}
var a={A,1}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}

#birth
0,1,1,A,B,C,D,1
0,1,1,1,A,B,C,1
0,1,1,1,1,A,B,1

#survival
1,1,A,B,C,D,E,1

#decay
1,a,b,c,d,e,f,2
2,a,b,c,d,e,f,3
3,a,b,c,d,e,f,0

Rule format B234/S1H/C4

Brian Prentice
Last edited by bprentice on March 1st, 2014, 7:50 pm, edited 1 time in total.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » February 27th, 2014, 6:49 pm

bprentice wrote:Here is another rule that supports guns made from spinners:

Rule format B234/S1H/C4
What are the spinners?

The following are patterns I have found interesting in B2/S1H/C3.

p999:

Code: Select all

x = 18, y = 18, rule = B2/S1H/C3
8.B$8.A$8.A2BA$8.B.B.B.B$6.A4.A2B$5.ABA5.2B$B2AB3A5.A.B$2.B2.A3.A.ABA
.A$2.2B.2A2.B2AB.2A$2.A.A.A2.BA.A3.BA$3.2B2.B.2A6.A$4.B9.2A$3.B2AB8.A
3$12.B2$12.B.B!
22c/158 ship:

Code: Select all

x = 6, y = 9, rule = B2/S1H/C3
2.A$2.AB$4.BA$4.2A$.A2.A$ABA.BA$A3.BA$.A2.BA$.2A.2A!
My first attempt to create a puffer:

Code: Select all

x = 32, y = 32, rule = B2/S1H/C3
2.A$2.AB$4.BA$4.2A$.A2.A$ABA.BA$A3.BA$.A2.BA$.2A.2A18$23.4A.2A$23.A3B
2AB$30.B$23.A2.A3.2A$23.2A.BA$25.2A!
My second attempt to create a puffer (which results in a VERY sparky ship which (oddly enough) does not change the period):

Code: Select all

x = 45, y = 45, rule = B2/S1H/C3
4A.2A$A3B2AB$7.B$A2.A3.2A$2A.BA$2.2A31$41.A$41.AB$43.BA$43.2A$40.A2.A
$39.ABA.BA$39.A3.BA$40.A2.BA$40.2A.2A!
Because of the side sparks of the 22c/158 ship, it can destroy a common p4 and remain unharmed (the two naturally occuring periods are p4 and p999).

Code: Select all

x = 76, y = 40, rule = B2/S1H/C3
72.A$72.AB$74.BA$74.2A$71.A2.A$70.ABA.BA$70.A3.BA$71.A2.BA$71.2A.2A
27$2.A$.A2B$AB.BA$.2BA$2.A!
The rule table is below.

Code: Select all

@RULE B2_S1H_C3


@TABLE

n_states:3
neighborhood:hexagonal
symmetries:permute

var a={0,2}
var b={a}
var c={a}
var d={a}
var e={0,1,2}
var f={a}
var g={e}
var h={e}
var i={e}
var j={e}
var k={e}
var l={a}
0,1,1,a,b,c,d,1
1,l,a,b,c,d,f,2
1,1,1,i,e,g,h,2
2,e,g,h,i,j,k,0
@COLORS

# colors from
# http://necsi.org/postdocs/sayama/sdsr/java/loops.java
# Color.black,Color.blue,Color.red,Color.green,
# Color.yellow,Color.magenta,Color.white,Color.cyan,Color.orange
1    0    0  255
2  255    0    0
3    0  255    0

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 1st, 2014, 5:47 pm

A new 9-cell predecessor for the natural p999:

Code: Select all

x = 22, y = 19, rule = B2/S1H/C3
2A$2.3A16$18.3A$21.A!
If you find infinite growth in this rule or find an 8-cell predecessor for the p999, please post immediately.

EricG
Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

Re: Hexagonal Generations

Post by EricG » March 3rd, 2014, 11:11 am

"If you find infinite growth in this rule [..] please post immediately."

Here you go. This puffer, made from three ships, makes the p4 oscillator.

Code: Select all

x = 77, y = 85, rule = Hex_B2_S1_C3
3.2A$3.3BA$3.AB.BA$ABA2.3B$A2B.A2B$.B.2B2.A$.A3B2.B$2.AB.ABA$11.2A.B$
12.B$12.ABA$13.ABA$14.ABA$13.A2.A$13.AB2A$15.A18$23.A$22.4A$22.A3.B
25.A$22.ABA27.2A$19.3A.2A4.2A21.A$20.A.A7.B22.B$21.AB3.B.2A.BA$23.B5.
A18.A$22.3A22.3A$21.2A5.A8.2A8.A$22.B3.BA2B8.A5.B2.2A2.B$22.2A4.ABA7.
A2.2A.2A$39.A2.A2.B$28.2A9.2A$26.A.3BA9.2A2BA$26.A2B.2B11.A.B3.2A$28.
A2.A13.2A3.2A$47.2A3.BA$48.2B2.2B$48.ABA.ABA19$63.A$63.2BA$50.2A.B3.B
6.2BA$51.2A4.A6.A.A$57.A2.A9.B$57.2A.2B.B2A5.A$52.2A4.A.2B2.3A4.2A$
53.A5.AB.A8.A.A$57.A2.A2.AB2.A5.A$57.2A8.2A2.AB3.B$67.A5.2B2A$67.5A2.
B$68.A.3B.2A$69.2A2.2A!
I apologize for the change of rule name and rule format - just change it to whatever you need.
Deleting the leftmost ship will leave you a potentially useful spark producer, but this is a very sparse rule - I'm a bit surprised you found the ship!
Last edited by EricG on March 3rd, 2014, 11:30 am, edited 1 time in total.

EricG
Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

Re: Hexagonal Generations

Post by EricG » March 3rd, 2014, 11:29 am

The script posted here: viewtopic.php?f=11&t=1328&p=11073#p11073
can also be used for Hexagonal Generations rules (unlike the one above, this script makes files in the .rule format rather than .tree). You can input a string with the format B2/S1/C3 to produce a .rule called Hex_B2_S1_C3. You can also use the script to try out Callahan's non-totalistic hexagonal notation with extra decay states (eg B2o/S1/C3).

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 3rd, 2014, 7:15 pm

The ship is, in my view, about as naturally-occuring in this rule as the LWSS is in CGoL. (This view might be biased because I have experimented with one-cell-thick soups a bit too much.) It is the most common spaceship in this rule despite the fact that it has a side spark (while smoking ships are much more common in normal Generations rules) and is non-monotonic. (Non-monotonic spaceships being common seems to be peculiar to Hexagonal Generations rules, which is why I want to explore them further.)

I actually tried switching to B25/S1H/C3 because it has a more naturally-occuring spaceship, only to find that I could not make an extremely smoky ship like I can in this rule, so I switched back to this rule.

The longest-lived 5-cell pattern I could find:

Code: Select all

OOO..
...OO
(Golly does not have a plaintext extension for three-state rules, so first set the rule to Life, then paste the pattern, then change the rule back to B2/S1H/C3.)

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 4th, 2014, 6:50 pm

EricG wrote:Deleting the leftmost ship will leave you a potentially useful spark producer, but this is a very sparse rule - I'm a bit surprised you found the ship!
The spark producer is useful. Based on EricG's puffer (the first in this rule), I tried to make a p999 puffer using the spark producers, which unfortunately made the rule behave like it is not a very sparse rule. The best result I got for the puffer is below.

Code: Select all

x = 196, y = 176, rule = B2/S1H/C3
58.AB$56.A.A$55.2A2B$55.A2.B.2A$56.B2.B2.A$56.BA.A.3A$55.ABA6.B$55.A.
A$56.2A.A$57.4A$62.A2.2A$62.2A2.BA$60.B.2A.A2B$60.A2.B3.BA$61.A$62.2B
$60.A3BA$61.A$59.A2.2A$59.2A2.3AB3$87.A$61.2A3.B20.2BA11.B.A$62.A2.A
21.A2B12.3A$65.2A23.A5.B$66.A20.A2.2A$87.2B2.A6.A$87.ABA6.A.2A$89.A6.
3A$90.A$90.ABA.BA$92.B2.AB$91.AB$92.A.2A$92.A2.A$93.A$93.2A$95.3A$97.
A5$100.A$90.ABA7.B$91.2B2.A5.BA$92.BA.2B2.2A.A$90.A2BA.ABA2.A$91.B4.A
$91.2A3.B3.B3.B$105.A$98.A3.2A.A$95.A2.AB2.AB.2A$95.AB2A.BA.3A$97.A2.
A.A$101.2A$102.A8$142.A$141.4A$141.A3.B25.A$141.ABA27.2A$138.3A.2A4.
2A21.A$139.A.A7.B22.B$140.AB3.B.2A.BA$142.B5.A18.A$141.3A22.3A$140.2A
5.A8.2A8.A$141.B3.BA2B8.A5.B2.2A2.B$141.2A4.ABA7.A2.2A.2A$158.A2.A2.B
$147.2A9.2A$145.A.3BA9.2A2BA$145.A2B.2B11.A.B3.2A$147.A2.A13.2A3.2A$
166.2A3.BA$167.2B2.2B$167.ABA.ABA7$3.2A$3.3BA$3.AB.BA$ABA2.3B$A2B.A2B
$.B.2B2.A$.A3B2.B$2.AB.ABA$11.2A.B$12.B$12.ABA$13.ABA$14.ABA165.A$13.
A2.A165.2BA$13.AB2A152.2A.B3.B6.2BA$15.A154.2A4.A6.A.A$176.A2.A9.B$
176.2A.2B.B2A5.A$171.2A4.A.2B2.3A4.2A$172.A5.AB.A8.A.A$176.A2.A2.AB2.
A5.A$176.2A8.2A2.AB3.B$186.A5.2B2A$186.5A2.B$187.A.3B.2A$188.2A2.2A8$
23.A$22.4A$22.A3.B25.A$22.ABA27.2A$19.3A.2A4.2A21.A$20.A.A7.B22.B$21.
AB3.B.2A.BA$23.B5.A18.A$22.3A22.3A$21.2A5.A8.2A8.A$22.B3.BA2B8.A5.B2.
2A2.B$22.2A4.ABA7.A2.2A.2A$39.A2.A2.B$28.2A9.2A$26.A.3BA9.2A2BA$26.A
2B.2B11.A.B3.2A$28.A2.A13.2A3.2A$47.2A3.BA$48.2B2.2B$48.ABA.ABA19$63.
A$63.2BA$50.2A.B3.B6.2BA$51.2A4.A6.A.A$57.A2.A9.B$57.2A.2B.B2A5.A$52.
2A4.A.2B2.3A4.2A$53.A5.AB.A8.A.A$57.A2.A2.AB2.A5.A$57.2A8.2A2.AB3.B$
67.A5.2B2A$67.5A2.B$68.A.3B.2A$69.2A2.2A!
In this stage, the p999 that appears during this spaceship's cycle is not visible yet. Below is a stage in which the p999 is visible. (I marked the pattern to point out where the p999 is.)

Code: Select all

x = 287, y = 195, rule = B2/S1H/C3
186.3B.B2.B.3B3.B3.3B.3B.B2.B.4B.B5.3B.3B2.4B.4B.B2.B$187.B2.B2.B.B5.
B3.B4.B2.B2.B.B2.B.B5.B3.B2.B.B2.B.B2.B.B.B$187.B2.4B.3B3.B3.3B2.B2.
4B.4B.B5.3B.3B2.4B.4B.2B$187.B2.B2.B.B5.B3.B4.B2.B2.B.B2.B.B7.B.B4.B
2.B.B.B2.B.B$187.B2.B2.B.3B3.3B.3B2.B2.B2.B.B2.B.3B3.3B.B4.B2.B.B2.B.
B2.B4$193.B$193.B$193.B$193.B$193.B$193.B$193.B$193.B$193.B$193.B$
193.B$193.B$191.5B$192.3B$193.B$58.BA$57.3BA3.2A$56.3B.AB3.B2.A$57.B.
A4.AB2.2A$57.2BA4.A.2A2.A$56.A2B5.B3.2BA$56.A.2A7.B.B$57.B2.B$57.2A5.
2A$57.2A6.BA$58.B.B2.A.AB125.BA$59.B3.AB2.2B120.BA3.B2A4.A$59.2BA3.BA
.BA30.2A89.B4.2A3.A2BA$61.B3.B.2A31.3BA85.B4.2A2.A5.B$61.ABA.2A.A31.A
B.BA40.A2.2A40.AB3.A2.B5.2A$63.BA2.3A31.A3B40.2B.2BA40.2A5.A$63.A.A
20.BA7.2A.2BA.3A39.A2B.AB41.2A3.A2B$64.3A18.3B7.A3B.A.2A38.B2.A.A4.B
39.B2.BA2BA$84.2B.2A7.A.B2.2A.BABA34.A49.ABA4.A$84.ABA.ABA4.B2.A3.A5.
2A32.B2.A.B4A42.B4.B$86.2A.2B7.2A.2A4.AB.B31.A2.5A.A8.A33.A$87.3B9.B
2.A5.2B33.A5.3A8.A2BA31.3A$87.AB9.ABA4.B4.B32.2A9.B8.BA32.A$99.A9.B.A
.A38.AB10.B$103.A5.2A.3A38.2B3.2A4.3BA$103.2A5.B44.A3.A7.B$156.A5.AB
2A2BA$109.A5.AB38.AB6.2B.B$100.B.B6.2A4.B41.BA4.A4B$118.B36.B2.A6.A.B
A$102.B14.BA11$97.2A$98.A$99.A.A$99.A2BA$96.3A.B$95.2A.A2.B$96.B4.BA$
97.BA2.BA$97.2B2ABA17.BA80.B5.A$98.A2.A18.A.B39.AB44.2BA$120.ABA39.B
41.BA2.AB.BA$120.B.A42.B39.AB2.2A2B$121.AB41.BA41.3A2.A$168.A40.A$
168.2A$168.A$169.A$164.A2.BA.B.B35.AB.B$164.2A2.AB.B.A34.BA$171.2BA$
172.A.A33.B$174.B$170.B3.A$167.A6.B.ABA$167.2A6.2A2BA$143.3A2.A13.B.B
6.6AB.B$142.A4B.BA22.A.A2.A2BA$143.A3.2B15.B5.A4.2A.ABA$143.A4.2A19.A
2BA3.B60.3B$142.ABA.2A2.2A18.A.2A3B60.2B$98.BA43.2B2.A3.A23.B61.B.B$B
97.A.B44.B2A26.ABA63.B$3.ABA92.ABA45.A26.B.2A64.B$B.B.2B92.B.A141.B$
4.B3.B2.B87.AB142.B$3.AB3.A235.B$4.2B2.A2.B3.B229.B$5.A2.2A162.BA72.B
$15.B.B153.3B73.B$170.2B.2A73.B$170.ABA.ABA72.B$172.2A.2B76.3B.B2.B.
3B3.3B2.4B.4B.4B$173.3B78.B2.B2.B.B5.B2.B.B2.B.B2.B.B2.B$16.A156.AB
79.B2.4B.3B3.3B2.4B.4B.4B$16.2B236.B2.B2.B.B5.B7.B4.B4.B$16.ABA235.B
2.B2.B.3B3.B7.B4.B4.B5$5.A$4.B.BA$7.A68.BA$11.A64.A.B$4.B2.A3.2B63.AB
A$7.A2B.ABA62.B.A$9.BA.A4.B59.AB$9.A2.A174.2A$10.2ABA3.B.B157.A2.A5.
2B.A$12.A164.3A2B5.B.2A$177.A.A.B4.B.A$175.A2.A.A.BA4.A$175.2A.A2B.AB
A4.2BA$175.A.A3.B2.A2.B2A.A$176.ABA2.2A$178.B$178.ABA9.B$180.B.B2.B4.
2A$43.AB135.2B4.A.2A.BA$43.B138.B2A.A2B.3B$46.B136.2AB.5B$45.BA139.2A
2.B$49.A$49.2A$49.A$50.A$45.A2.BA.B.B$45.2A2.AB.B.A$52.2BA$53.A.A$55.
B$51.B3.A$48.A6.B.ABA$48.2A6.2A2BA$24.3A2.A13.B.B6.6AB.B$23.A4B.BA22.
A.A2.A2BA$24.A3.2B15.B5.A4.2A.ABA$24.A4.2A19.A2BA3.B$23.ABA.2A2.2A18.
A.2A3B$24.2B2.A3.A23.B$26.B2A26.ABA$27.A26.B.2A5$53.BA$52.3B$51.2B.2A
$51.ABA.ABA$53.2A.2B$54.3B$54.AB14$68.2A$58.A2.A5.2B.A$58.3A2B5.B.2A$
58.A.A.B4.B.A$56.A2.A.A.BA4.A$56.2A.A2B.ABA4.2BA$56.A.A3.B2.A2.B2A.A$
57.ABA2.2A$59.B$59.ABA9.B$61.B.B2.B4.2A$61.2B4.A.2A.BA$63.B2A.A2B.3B$
64.2AB.5B$67.2A2.B!
The p999 is in the middle of its life here, and it arises from the reaction of some active junk with the natural p4. It is then killed by the section of the pattern marked "The Lethal Spark", which, true to its name, interacts with the p999 and kills it. If someone can find a way to either move the p999 away from the spark or to eat the spark, we would have a p999 puffer.

EricG
Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

Re: Hexagonal Generations

Post by EricG » March 4th, 2014, 9:02 pm

Here's a puffer that produces p999s:

Code: Select all

x = 131, y = 95, rule = B2/S1H/C3
3.2A.B$3.2A$3AB2.A$A2B3.B$2.B.A2.B$A.BA.B3A$A2B2AB.A15.A2.A2.A$.ABA.A
.2A14.2B6A$5.A.2A12.B.ABA5.A$4.2A3.A17.2A2BA$5.A3.B11.B.B3.B4A$5.A2.A
.A15.A$5.2A2.2BA13.A2BA$6.2A2.2B14.A.B$9.2B16.3A$6.A3.B$5.A.A2.2B$4.
2AB.2AB26.A$4.A2.B2.A25.A2BA7.3A$5.B3A28.B.A7.A.A$5.B.2A28.3A7.3A$6.B
3A33.A$6.A2.B33.A$7.2ABA20.BA10.A.A$9.A20.3B5.2A4.A.2B63.A$29.2B.2A5.
B4.A.ABA62.2A$29.ABA.2A4.2A70.A.A$31.2A.B17.A57.2A.B$32.3B.BA14.2B57.
B$32.AB.A2BA2.ABABA3.AB2AB56.AB$37.2AB.BA3.A3.2B.2A52.AB3.A2.A$44.A2B
A59.B7.BA$42.5A43.B24.2A$41.A3B11.A31.2A14.B7.AB2A$42.A.BA9.ABA30.A2B
.B20.A$56.B33.BA$53.B.2B39.AB12.B.BA2.A$54.2A.AB31.BA2.BAB15.2B2.ABA$
91.AB18.A.B4.A$92.A7.B10.AB.2AB$93.A18.3A$92.2B5.B2.A11.A2.A$92.A2BA
2.BA2.2B11.B.2B.B$95.BA5.ABA13.B$95.2B8.ABA2.B6.B2AB$95.ABA8.2B$107.A
3$41.ABA$39.B2.2B$22.B19.3A$20.2A14.B4.AB3A.B$20.A2B.B17.2B.B$22.BA
19.B.2BA$28.AB12.B.B.A$22.BA2.BAB15.2B2.ABA$23.AB18.A.B4.A$24.A7.B10.
AB.2AB$25.A18.3A$24.2B5.B2.A11.A2.A69.B$24.A2BA2.BA2.2B11.B.2B.B65.A
3B$27.BA5.ABA13.B71.2B$27.2B8.ABA2.B6.B2AB65.A.3ABA$27.ABA8.2B78.AB.B
A$39.A79.A3B$121.2A2$127.A$127.2A$129.A$123.AB.2A2B$124.3B2.BA$126.BA
.B$126.A3.A$127.B4$51.B$50.A3B$54.2B$50.A.3ABA$50.AB.BA$51.A3B$53.2A
2$59.A$59.2A$61.A$55.AB.2A2B$56.3B2.BA$58.BA.B$58.A3.A$59.B!
Edit: Swapped in a smaller version

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 6th, 2014, 5:48 pm

I decided to make a converter (spark-to-longer-lasting spark) as a potential component for a gun in this rule. The best I could find is below:

Code: Select all

x = 34, y = 63, rule = B2/S1H/C3
8.B$8.A$8.A2BA$8.B.B.B.B$6.A4.A2B$5.ABA5.2B$B2AB3A5.A.B$2.B2.A3.A.ABA
.A$2.2B.2A2.B2AB.2A$2.A.A.A2.BA.A3.BA$3.2B2.B.2A6.A$4.B9.2A$3.B2AB8.A
3$12.B2$12.B.B41$32.A$32.A$32.A$33.A$33.A!
I also did some soup-checking to find a small predecessor for the 22c/158 ship. Through removal of red cells and sparks, I found a 10-cell result:

Code: Select all

x = 7, y = 4, rule = B2/S1H/C3
A2B$2.2A.A$3.A.BA$4.A!
It would be better if a dedicated back-tracking program were used to decompose it into smaller methuselahs and make a "synthesis" of the ship. (I do not have a dedicated backtracking program.)

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 10th, 2014, 8:11 pm

A better converter, with spark death time being 802:

Code: Select all

x = 74, y = 93, rule = B2/S1H/C3
8.B$8.A$8.A2BA$8.B.B.B.B$6.A4.A2B$5.ABA5.2B$B2AB3A5.A.B$2.B2.A3.A.ABA
.A$2.2B.2A2.B2AB.2A$2.A.A.A2.BA.A3.BA$3.2B2.B.2A6.A$4.B9.2A$3.B2AB8.A
3$12.B2$12.B.B41$32.A$32.A$32.A$33.A$33.A13$59.B.B2$61.B3$58.A8.B2AB$
58.2A9.B$56.A6.2A.B2.2B$56.AB3.A.AB2.A.A.A$58.2A.B2AB2.2A.2B$58.A.ABA
.A3.A2.B$59.B.A5.3AB2AB$59.2B5.ABA$60.2BA4.A$59.B.B.B.B$62.A2BA$65.A$
65.B!
I am (still!) not able to convert this huge spark to a p4 (let alone two 11c/158 gliders), which is very troublesome. Note as well that I would need to get a good hassling mechanism to push that spark to the place I put it, and if the gliders destroy the p999s in the finished product, then the first place to look should be this converter.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 12th, 2014, 1:41 pm

Going the more traditional way, here is a giant sparker:

Code: Select all

x = 36, y = 69, rule = B2/S1H/C3
8.B$8.A$8.A2BA$8.B.B.B.B$6.A4.A2B$5.ABA5.2B$B2AB3A5.A.B$2.B2.A3.A.ABA
.A$2.2B.2A2.B2AB.2A$2.A.A.A2.BA.A3.BA$3.2B2.B.2A6.A$4.B9.2A$3.B2AB8.A
3$12.B2$12.B.B34$21.B.B2$23.B3$20.A8.B2AB$20.2A9.B$18.A6.2A.B2.2B$18.
AB3.A.AB2.A.A.A$20.2A.B2AB2.2A.2B$20.A.ABA.A3.A2.B$21.B.A5.3AB2AB$21.
2B5.ABA$22.2BA4.A$21.B.B.B.B$24.A2BA$27.A$27.B!
The explosion generated, if left on its own, would last for ~120 generations. Unfortunately, the spark destroys the p999s.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 14th, 2014, 6:49 pm

c0b0p0 wrote:Going the more traditional way, here is a giant sparker:

Code: Select all

x = 36, y = 69, rule = B2/S1H/C3
8.B$8.A$8.A2BA$8.B.B.B.B$6.A4.A2B$5.ABA5.2B$B2AB3A5.A.B$2.B2.A3.A.ABA
.A$2.2B.2A2.B2AB.2A$2.A.A.A2.BA.A3.BA$3.2B2.B.2A6.A$4.B9.2A$3.B2AB8.A
3$12.B2$12.B.B34$21.B.B2$23.B3$20.A8.B2AB$20.2A9.B$18.A6.2A.B2.2B$18.
AB3.A.AB2.A.A.A$20.2A.B2AB2.2A.2B$20.A.ABA.A3.A2.B$21.B.A5.3AB2AB$21.
2B5.ABA$22.2BA4.A$21.B.B.B.B$24.A2BA$27.A$27.B!
The explosion generated, if left on its own, would last for ~120 generations. Unfortunately, the spark destroys the p999s.
This generates a more accessible spark:

Code: Select all

x = 50, y = 50, rule = B2/S1H/C3
3.B.B2$5.B3$2.A8.B2AB$2.2A9.B$A6.2A.B2.2B$AB3.A.AB2.A.A.A$2.2A.B2AB2.
2A.2B$2.A.ABA.A3.A2.B$3.B.A5.3AB2AB$3.2B5.ABA$4.2BA4.A$3.B.B.B.B$6.A
2BA$9.A$9.B15$38.B$38.A$38.A2BA$38.B.B.B.B$38.A2.A2BA$37.4A3.A$36.ABA
.2A2.B$37.A4.B$32.B2AB$34.B4.A2BA$34.2B4.3A$34.A.A2.2A$35.2B.A2BA5.B.
B$36.2B.A$35.B.2B.A2.A5.B$39.2A2.2A$41.B$41.2A!
4-cell 172-generation methuselah:

Code: Select all

x = 5, y = 3, rule = B2/S1H/C3
A$.2A$4.A!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » March 19th, 2014, 2:21 pm

I finally made a p4 factory using hexrot.py (neither the factory nor the p4 has a name yet).

Code: Select all

x = 58, y = 69, rule = B2/S1H/C3
7.A2.A$7.5A3$B5.B$7.A$B.B4.A4.BA$5.A2BA5.2A$6.A8.A$8.B$13.2A$14.A4$
12.2A$13.B$13.2A.A$15.3A2$13.2A$13.A$14.B$16.2A2.2A$16.ABA.A2B$17.A4.
BA$18.AB2ABA$22.A13$19.ABA$19.A2.A$19.5A2$18.A7.A$16.A2B8.2BA$17.A.A
7.A.A2$19.B9.B$5.B.B34.B.B$7.A35.A$8.2B32.2B$9.B33.B$9.2B10.B.2A4.2A.
B10.2B$10.A13.2A3.2A13.A$25.6A$7.B.B14.A2.3A2.A14.B.B$24.AB.A2.A.BA$
9.B15.A2B3.2BA15.B$26.ABA2.ABA$7.2A43.2A$7.AB2.2A36.2A2.BA$7.B.B.ABA
35.ABA.B.B$8.A2B2.A36.A2.2BA$9.A2.2A37.2A2.A$8.2A2.2A38.2A2.2A$9.A47.
A$10.3A18.2A2.2A18.3A$12.A19.A3.A19.A!
The p4 lives for around forty generations, which should be plenty to build a gun.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » April 20th, 2014, 8:50 pm

The related rule B2/S16H/C3 has a tiny p20 -- it has a minimum population of 9. Unfortunately, it does not have the giant rotating p999 sparker that got me interested in the Hexagonal Generations rulespace in the first place.

Code: Select all

x = 10, y = 10, rule = B2/S16H/C3
B4.B3$2.B.A.B$B3.2A3.B$4.3A2$6.B2$5.B3.B!

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Hexagonal Generations

Post by bprentice » February 11th, 2015, 12:49 pm

Rule B23/03456H/C7 with some examples:

Code: Select all

@RULE B23_03456H_C7
@TREE
num_states=7
num_neighbors=8
num_nodes=28
1 0 1 3 4 5 6 0
1 0 2 3 4 5 6 0
2 0 1 0 0 0 0 0
1 1 2 3 4 5 6 0
2 1 3 1 1 1 1 1
3 2 4 2 2 2 2 2
1 1 1 3 4 5 6 0
2 3 6 3 3 3 3 3
3 4 7 4 4 4 4 4
4 5 8 5 5 5 5 5
2 6 0 6 6 6 6 6
3 7 10 7 7 7 7 7
4 8 11 8 8 8 8 8
5 9 12 9 9 9 9 9
6 13 13 13 13 13 13 13
2 0 0 0 0 0 0 0
3 10 15 10 10 10 10 10
4 11 16 11 11 11 11 11
5 12 17 12 12 12 12 12
6 18 18 18 18 18 18 18
7 14 19 14 14 14 14 14
3 15 15 15 15 15 15 15
4 16 21 16 16 16 16 16
5 17 22 17 17 17 17 17
6 23 23 23 23 23 23 23
7 19 24 19 19 19 19 19
8 20 25 20 20 20 20 20
9 26 26 26 26 26 26 26
@COLORS
0   0   0   0
1 255   0   0
2   0 255   0
3   0   0 255
4 255 255   0
5   0 255 255
6 255   0 255

Code: Select all

x = 9, y = 9, rule = B23/03456H/C7
6.F.F$6.2AD$4.4AC$3.B3AD$2.C2A$.D3A$C3AD$D2AE$BCD!

Code: Select all

x = 8, y = 8, rule = B23/03456H/C7
5.F.F$5.2AD$4.3AC$4.2AD$2.2A$F3A$.2AD$FDC!

Code: Select all

x = 8, y = 8, rule = B23/03456H/C7
4.C.DC$3.D3A$2.E4AF$.DA.2A$C3A$.3A$D2A$F.F!

Code: Select all

x = 27, y = 46, rule = B23/03456H/C7
24.DA$22.4AD$21.B4AC$20.2A.2AD$20.3A.C$19.D3ACA$19.3AD$19.CDC$18.4B$
18.CDC$17.3AD$16.D3ACA$16.3A.C$15.2A.2AD$15.B4AC$15.4AD$16.DA11$10.DA
$8.4AD$7.B4AC$6.2A.2AD$6.3A.C$5.D3ACA$5.3AD$5.CDC$4.2B$3.3A$3.2B$3.CD
C$2.3AD$.D3ACA$.3A.C$2A.2AD$B4AC$4AD$.DA!

Code: Select all

x = 39, y = 9, rule = B23/03456H/C7
6.BCB$5.C2A$4.D3AF$3.E3A4.ECA7.FDBA7.ECA3.A$2.F2A6.ECA7.FDB8.ECA$2.3A
5.FDB8.ECA7.FDB$F3A5.FDBA7.ECA7.FDBA$.3A$EF!

Code: Select all

x = 14, y = 21, rule = B23/03456H/C7
10.DAED$9.E4A$8.F4A$7.EA.3A$6.D3A$6.4A$6.D3A$3.AB2CD$2.ABDF.2CBCF$2.B
DF2.A.2A$.ABDF.AF3A$.BDF2.A.2A$ABDF.2CBCF$AB2CD$2.D3A$.4A$D3A$EA.3A$F
4A$E4A$DAED!

Code: Select all

x = 23, y = 46, rule = B23/03456H/C7
19.DAED$18.E4A$17.F4A$16.EA.3A$15.D3A$15.4A$15.E3A$16.A2$19.AD$17.E2A
E$16.D3AD$16.E2AE$17.AD17$4.DAED$3.E4A$2.F4A$.EA.3A$D3A$4A$E3A$.A4$3.
AD$.E2AE$D3AD$E2AE$.AD!

Code: Select all

x = 24, y = 50, rule = B23/03456H/C7
20.DAED$19.E4A$18.F4A$17.EA.3A$16.D3A$16.4A.A$16.E3A$17.A6$18.AD$16.E
2AE$15.D3AD$15.E2AE$16.AD13$5.DAED$4.E4A$3.F4A$2.EA.3A$.D3A$.4A.A$.E
3A$2.A8$3.AD$.E2AE$D3AD$E2AE$.AD!

Code: Select all

x = 53, y = 31, rule = B23/03456H/C7
32.EBFE$31.F3AB$31.5A$29.FA.2AB4.ECA7.FDBA$28.E3A.A5.ECA7.FDB$28.B4A
5.ECA7.FDBA$28.F2AB6.ECA7.FDB$28.ABA6.FCA7.FDBA$36.FECA7.FDB$35.FECB
7.FDBA$33.2E2CBA7.FDB$31.2E2C2A8.FDBA$31.2C2A10.FDB$31.2A11.FDBA$44.F
DB$43.FECA$41.2FECB$39.2F2DCBA$37.2F2D2BA$35.2F2D2BA$33.2F2D2BA$31.2F
2D2BA$6.DED22.2D2BA$5.E2AB22.2BA$4.F4A22.A$4.3AB7.FDBA7.ECA$2.3A.2A7.
FDB8.ECA$.B5A8.ECA7.FDB$4ABA8.ECA7.FDBA$B2AC$.AB!

Code: Select all

x = 19, y = 27, rule = B23/03456H/C7
13.C.DC$12.D3A$11.E4AF$10.DA.2A.DBA$9.C3A.CFDB$10.3ACDECA$9.D2A.FECB$
9.F.F2DCBA$12.2BA$12.A2$11.F.C$10.D2AD$9.C3AC$9.D2AD$9.F.C2$8.A$7.2BA
$3.F.F2DCBA$2.D2A.FECB$2.3ACDECA$C3A.CFDB$DA.2A.DBA$E4AF$D3A$C.DC!
Brian Prentice

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Hexagonal Generations

Post by bprentice » February 11th, 2015, 1:08 pm

Some more examples:

Code: Select all

x = 21, y = 23, rule = B23/03456H/C7
14.F.AEFBA$13.E6AE$12.D7AB$11.C9A$10.E9AE$9.10AF$9.9A$7.F10A$6.E9AB$
5.C9ACA$4.E9ADB$4.F8AEBA$3.D.7AFDB$2.E8A.DBA$.D9AFDB$C8ABFDBA$D6A.E.F
DB$B6AEF.EBA$C5AB2.EDB$D5A2FEDBA$4A.F2D2BA$.DCB2.2BA$6.A!

Code: Select all

x = 36, y = 23, rule = B23/03456H/C7
20.BFCACDCACFB$19.C10AC$18.F11AF$18.12A$12.ABED7A.7ADEBA$10.D5A.12A.
5AD$9.27A$8.B7A2.8A2.7AB$7.C8A.9A.8AC$6.D28AD$5.E9A.9A.9AE$4.F10A.8A.
10AF$4.11A.3A.3A.11A$2.13A.6A.13A$.B13A.5A.13AB$.C32AC$.F11A.7A.11AF$
2.30A$.F.A.23A.A.F$.4A.4A.A.6A.A.4A.4A$.4ACEF.AB9ABA.FEC4A$4AF5.10A5.
F4A$DEFE6.CDBDBDBDC6.EFED!

Code: Select all

x = 39, y = 21, rule = B23/03456H/C7
10.BCDC6.AB.B.B.BA6.CDCB$9.F3AD5.F8AF5.D3AF$8.E5ACDEF.9A.FEDC5AE$8.F
3A.4A.A.6A.A.4A.3AF$7.D.A.23A.A.D$6.E30AE$5.F11A.7A.11AF$4.D13A.4A.
13AD$3.E33AE$2.F7A.2A.2A.6A.2A.2A.7AF$.E6A.9A.A.9A.6AE$.F7A.2A.2A.6A.
2A.2A.7AF$.E33AE$.D13A.4A.13AD$.F11A.7A.11AF$.E30AE$.D.A.23A.A.D$.F3A
.4A.A.6A.A.4A.3AF$E5ACDEF.9A.FEDC5AE$F3AD5.F8AF5.D3AF$BCDC6.AB.B.B.BA
6.CDCB!

Code: Select all

x = 17, y = 17, rule = B23/03456H/C7
8.DAED.DEAD$7.E8AE$6.F4A.4AF$5.EA.6A.AE$4.D3A.3A.3AD$3.B12AB$2.7A.7A$
.FE12AEF$2.B5.A5.B$FE12AEF$7A.7A$B12AB$D3A.3A.3AD$EA.6A.AE$F4A.4AF$E
8AE$DAED.DEAD!

Code: Select all

x = 20, y = 25, rule = B23/03456H/C7
16.EF.C$13.ABC3AD$11.A2BD4A$10.ACDE5AF$9.ACB7AE$9.BDA.6A$8.ABE8AF$8.B
D8A$7.AC9A$7.B7A$6.9AB$5.E10A$4.D10AD$4.10AE$4.B9A$5.7AB$2.9ACA$2.8AD
B$F8AEBA$.6A.ADB$E7ABCA$F5AEDCA$.4AD2BA$D3ACBA$C.FE!

Code: Select all

x = 19, y = 17, rule = B23/03456H/C7
15.A$13.4A$11.AB3ABA$11.BC2ACB$8.CDCB.A.BCDC$7.D2A.4A.2AD$6.C5A.5AC$
5.E12AE$4.D13AD$3.C14AC$2.B6A.A.6AB$.18A$.8A.8A$18A$.15A$F14AF$EF.AB.
BCB.BA.FE!

Code: Select all

x = 32, y = 14, rule = B23/03456H/C7
13.EFBCDEF.FEDCBFE$12.F14AF$11.B15AB$7.ABAC16ACABA$5.4A.8A.8A.4A$4.F
26AF$4.13A.13A$2.30A$.E14A.14AE$D30AD$15A.15A$.4A.18A.4A$FDEF2EFEDCBA
.FDF.ABCDEF2EFEDF$4.A18.A!

Code: Select all

x = 28, y = 19, rule = B23/03456H/C7
17.FCF$17.2A$15.5A$15.4A$11.2AC5AC2A$4.CDEF.ABCD.4A.DCBA.FEDC$3.D23AD
$2.E24AE$.F25AF$E26AE$F25AF$E24AE$D23AD$CDEF.ABCD.4A.DCBA.FEDC$6.2AC
5AC2A$9.4A$8.5A$9.2A$8.FCF!

Code: Select all

x = 31, y = 29, rule = B23/03456H/C7
22.F.BC.BA$22.5ACBA$20.7AD2BA$19.B7AEDB$19.8AF2D$17.10A.FEA$16.C10A.
2AB$15.D3A.10AC$14.C4A.10AD$13.F16AE$4.D.ABCDEF2.4A.11AF$3.E26A$2.F
28A$.B28AB$31A$B28AB$F28A$E26A$D.ABCDEF2.4A.11AF$8.F16AE$8.C4A.10AD$
8.D3A.10AC$8.C10A.2AB$8.10A.FEA$9.8AF2D$8.B7AEDB$8.7AD2BA$9.5ACBA$8.F
.BC.BA!

Code: Select all

x = 35, y = 19, rule = B23/03456H/C7
17.FCF$17.2A$15.5A$15.4A$11.2AC5AC2A$4.CDEF.ABCD.4A.DCBA.FEDCBA.FEDC$
3.D30AD$2.E31AE$.F32AF$E33AE$F32AF$E31AE$D30AD$CDEF.ABCD.4A.DCBA.FEDC
BA.FEDC$6.2AC5AC2A$9.4A$8.5A$9.2A$8.FCF!
Brian Prentice

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Hexagonal Generations

Post by bprentice » February 11th, 2015, 1:21 pm

Yet more examples:

Code: Select all

x = 125, y = 125, rule = B23/03456H/C7
90.2ACDC2A$89.ACD2ADCA$88.ACE3AECA$88.AEF2AFEA$74.AC.ABA7.CFD.A.DFC7.
ABA.CA$73.B6AE4.12A4.E6AB$62.ABDEA.FEBFE7AF3.B5A.5AB3.F7AEFBEF.AEDBA$
61.B5A.4A.7AD3.12A3.D7A.4A.5AB$60.D19AE.C13AC.E19AD$59.E20AF.14A.F20A
E$58.22A.15A.22A$58.13A.32A.13A$56.F.9A.2A.7A.8A.8A.7A.2A.9A.F$55.E
62AE$54.B10A.3A.16A.16A.3A.10AB$53.F64AF$50.ABE12A.19A.19A.12AEBA$49.
C2A.4A.A.5A.38A.5A.A.4A.2AC$49.35A.35A$47.12A.2A3.4A.4A.18A.4A.4A3.2A
.12A$46.B6A2.4A.A.3A.17A.17A.3A.A.4A2.6A$45.10A.4A.4A.5A3.18A3.5A.4A.
4A.9A$45.18A.9A.A.A.4A.4A.A.A.9A.17A$44.E14A.A.3A4.11A.2A.11A4.3A.A.
14A$44.F14A.17A.2A.A.2A.17A.14A$44.D19A.3A.24A.3A.19AD$44.E10A.3A.14A
.2A.2A.2A.2A.14A.3A.10AE$44.F13A.A.38A.A.13AF$34.3A2.AB.C2.A.10A.21A.
21A.10A.A2.C.BA2.3A$33.A2CAC18A.20A.2A.20A.18ACA2CA$32.CD2EF16A.14A.
6A.5A.6A.14A.16AF2EDC$31.D2AFD14A.A.3A.9A.2A.4A.6A.4A.2A.9A.3A.A.14AD
F2AD$30.C3A.16A.20A.4A.4A.20A.16A.3AC$29.AD20A.11A.5A.14A.5A.11A.20AD
A$28.ACEF.A.26A.7A2.11A2.7A.26A.A.FECA$28.ACED17A.8A.3A.26A.3A.8A.17A
DECA$28.2AF25A.12A2.9A2.12A.25AF2A$29.C7A.9A.20A.12A.20A.9A.7AC$29.9A
.11A.4A.10A.7A.7A.10A.4A.11A.9A$28.11A.7A.14A.22A.14A.7A.11A$28.B11A.
14A.8A.17A.8A.14A.11AB$29.12A.2A.2A.7A.7AD18AD7A.7A.2A.2A.12A$28.C13A
.A.7A.A.3A.A.DC2.15A2.CD.A.3A.A.7A.A.13AC$29.20A2.4A2.4A3.F14AF3.4A2.
4A2.20A$23.EFDEF.12A2.A.2A.6A.5A4.EDADEF.A.FEDADE4.5A.6A.2A.A2.12A.FE
DFE$21.24A.14AF.ABC12.CBA.F14A.24A$20.B7A.31AEB2AB11.B2ABE31A.7AB$19.
18A.A.A.2A.2A.11ADC3AF10.F3ACD11A.2A.2A.A.A.18A$19.40A.B3AB9.B3AB.40A
$17.C17A.7A.13AD2.F2AC10.C2AF2.D13A.7A.17AC$16.15A.6A.4A.6A.5AE3.BCB
11.BCB3.E5A.6A.4A.6A.15A$16.B15A2.21AF24.F21A2.15AB$16.E.13A.10A.11A
27.11A.10A.13A.E$15.F4A.9A.23A26.23A.9A.4AF$14.B5A.21A.A.7A29.7A.A.
21A.5AB$13.E7A.4A.11A.A2.A.7AF28.F7A.A2.A.11A.4A.7AE$12.F16A.A.4A.6A.
6AE29.E6A.6A.4A.A.16AF$13.4A.10A.20AD30.D20A.10A.4A$10.17A.7A.6A.6A
31.6A.6A.7A.17A$9.E7A.A2.2A2.A.20AD32.D20A.A2.2A2.A.7AE$8.D12A.5A.14A
.A.FECBFB25.BFBCEF.A.14A.5A.12AD$7.B12A.2A.10A.7AD3.B3AC24.C3AB3.D7A.
10A.2A.12AB$6.13A.15A.3A.2AC2.5AB23.B5A2.C2A.3A.15A.13A$6.B12A.2A.10A
.7AD3.B3AC24.C3AB3.D7A.10A.2A.12AB$6.D12A.5A.14A.A.FECBFB25.BFBCEF.A.
14A.5A.12AD$6.E7A.A2.2A2.A.20AD32.D20A.A2.2A2.A.7AE$6.17A.7A.6A.6A31.
6A.6A.7A.17A$8.4A.10A.20AD30.D20A.10A.4A$6.F16A.A.4A.6A.6AE29.E6A.6A.
4A.A.16AF$6.E7A.4A.11A.A2.A.7AF28.F7A.A2.A.11A.4A.7AE$6.B5A.21A.A.7A
29.7A.A.21A.5AB$6.F4A.9A.23A26.23A.9A.4AF$6.E.13A.10A.11A27.11A.10A.
13A.E$5.B15A2.21AF24.F21A2.15AB$4.15A.6A.4A.6A.5AE3.BCB11.BCB3.E5A.6A
.4A.6A.15A$4.C17A.7A.13AD2.F2AC10.C2AF2.D13A.7A.17AC$5.40A.B3AB9.B3AB
.40A$4.18A.A.A.2A.2A.11ADC3AF10.F3ACD11A.2A.2A.A.A.18A$4.B7A.31AEB2AB
11.B2ABE31A.7AB$4.24A.14AF.ABC12.CBA.F14A.24A$5.EFDEF.12A2.A.2A.6A.5A
4.EDADEF.A.FEDADE4.5A.6A.2A.A2.12A.FEDFE$10.20A2.4A2.4A3.F14AF3.4A2.
4A2.20A$8.C13A.A.7A.A.3A.A.DC2.15A2.CD.A.3A.A.7A.A.13AC$8.12A.2A.2A.
7A.7AD18AD7A.7A.2A.2A.12A$6.B11A.14A.8A.17A.8A.14A.11AB$5.11A.7A.14A.
22A.14A.7A.11A$5.9A.11A.4A.10A.7A.7A.10A.4A.11A.9A$4.C7A.9A.20A.12A.
20A.9A.7AC$2.2AF25A.12A2.9A2.12A.25AF2A$.ACED17A.8A.3A.26A.3A.8A.17AD
ECA$ACEF.A.26A.7A2.11A2.7A.26A.A.FECA$AD20A.11A.5A.14A.5A.11A.20ADA$C
3A.16A.20A.4A.4A.20A.16A.3AC$D2AFD14A.A.3A.9A.2A.4A.6A.4A.2A.9A.3A.A.
14ADF2AD$CD2EF16A.14A.6A.5A.6A.14A.16AF2EDC$A2CAC18A.20A.2A.20A.18ACA
2CA$3A2.AB.C2.A.10A.21A.21A.10A.A2.C.BA2.3A$9.F13A.A.38A.A.13AF$8.E
10A.3A.14A.2A.2A.2A.2A.14A.3A.10AE$7.D19A.3A.24A.3A.19AD$6.F14A.17A.
2A.A.2A.17A.14AF$5.E14A.A.3A4.11A.2A.11A4.3A.A.14AE$5.18A.9A.A.A.4A.
4A.A.A.9A.18A$4.10A.4A.4A.5A3.18A3.5A.4A.4A.10A$4.B6A2.4A.A.3A.17A.
17A.3A.A.4A2.6AB$4.12A.2A3.4A.4A.18A.4A.4A3.2A.12A$5.35A.35A$4.C2A.4A
.A.5A.38A.5A.A.4A.2AC$4.ABE12A.19A.19A.12AEBA$6.F64AF$6.B10A.3A.16A.
16A.3A.10AB$6.E62AE$6.F.9A.2A.7A.8A.8A.7A.2A.9A.F$7.13A.32A.13A$6.22A
.15A.22A$6.E20AF.14A.F20AE$6.D19AE.C13AC.E19AD$6.B5A.4A.7AD3.12A3.D7A
.4A.5AB$6.ABDEA.FEBFE7AF3.B5A.5AB3.F7AEFBEF.AEDBA$16.B6AE4.12A4.E6AB$
16.AC.ABA7.CFD.A.DFC7.ABA.CA$29.AEF2AFEA$28.ACE3AECA$28.ACD2ADCA$28.
2ACDC2A!

Code: Select all

x = 49, y = 49, rule = B23/03456H/C7
40.2A$38.A3BA$36.A2B2D2BA$34.A2BD3ED2BA$23.A8.A2B2DF2.F2DB$21.A2B6.A
2B2D2F.F.2FD$19.A2B2DFDF.ABCDEF.AB2EBA.F$17.A2B2DF.13A.4AD$16.ABDE2F
17A.2AF$16.BDE2.BA.18A$15.ABE.FE15A.6A$15.BDF.E.21ABA$14.ABDFB3A.10A.
8ACBA$14.BDF15AEF8AD2BA$13.ABD.14AD2.8AED2BA$13.BDF5A.F.A.FED.C2.9AF
2D2BA$12.ABE6AE12.8A.F2D2BA$12.BD7AD11.F9A2FEDBA$11.AC8AC11.E8AB2.EDB
$11.B8A13.D8AEF.EBA$10.9AD14.7A.E.FDB$10.8AE14.CDE.5ABFDBA$8.F8AF17.F
2A.4AFDB$7.D8A19.5A.A.DBA$6.F9A17.9AF$3.ABD.A.5A19.8AD$3.BDF4A.2AF17.
F8AF$2.ABDFB5A.EDC14.E8A$2.BDF.E.7A14.D9A$.ABE.FE8AD13.8AB$.BDE2.B8AE
11.C8ACA$ABDE2F9AF11.D7ADB$A2B2DF.8A12.E6AEBA$.A2B2DF9A2.C.DEF.A.F.5A
FDB$2.A2BDE8A2.D14A.DBA$3.A2BD8AFE15AFDB$4.ABC8A.10A.3ABFDBA$5.AB21A.
E.FDB$6.6A.15AEF.EBA$7.18A.AB2.EDB$6.F2A.17A2FEDBA$6.D4A.13A.F2D2BA$
6.F.AB2EBA.FEDCBA.FDF2D2BA$6.D2F.F.2F2D2BA6.2BA$5.B2DF2.F2D2BA8.A$4.A
2BD3ED2BA$5.A2B2D2BA$6.A3BA$7.2A!

Code: Select all

x = 5, y = 5, rule = B23/03456H/C7
3.A$.4A$.3A$4A$.A!

Code: Select all

x = 69, y = 69, rule = B23/03456H/C7
24.FC.ABCDEF.A$24.10AB$22.12AE$21.D12AF$20.C13AE$15.ABEF.13A2.F$14.E
4A.15A$13.B17A.3AC$13.6A.14AD$11.B6A2.10A.2AE$10.C9A.9ABED$9.B10A.8AD
$9.3A.7A.7AE$7.B12A.6AF2.FDBA3.FDBA3.FDBA4.F.A$6.E13A.A.2A5.FDB4.FDB
4.FDB4.D4A$5.21A3.FDBA3.FDBA3.FDBA3.E4A$5.B10A.6A.A24.D5AF$5.E19AB23.
E4AD$5.F3A.14AC24.D3AE$7.A2.14A25.CDED$4.C5A5.7AC$3.D18A33.A$2.12A.5A
C32.A2B$2.14A.3A33.B2D$F17AC34.D2F$C13A.A.B35.F$.13A$13AF$B11AE42.A$C
10AD3.F37.A2B$D8A.B2.2FD37.B2D$E6A.2AE2.2DB37.D2F$F9AD2.2BA37.F$.4A.
3AE3.A47.C.F$ABEFE.2AD51.D2A.EFEBA$5.F.C47.A3.E3A.4A$15.F37.A2B2.D9AF
$13.2FD37.B2D2.E2A.6AE$13.2DB37.D2F2.B.8AD$13.2BA37.F3.D10AC$13.A42.E
11AB$55.F13A$55.13A$15.F35.B.A.13AC$13.2FD34.C17AF$13.2DB33.3A.14A$
13.2BA32.C5A.12A$13.A33.18AD$46.C7A5.5AC$16.DEDC25.14A2.A$15.E3AD24.C
14A.3AF$14.D4AE23.B19AE$13.F5AD24.A.6A.10AB$14.4AE3.ABDF3.ABDF3.ABDF
3.21A$13.4AD4.BDF4.BDF4.BDF5.2A.A.13AE$14.A.F4.ABDF3.ABDF3.ABDF2.F6A.
12AB$40.E7A.7A.3A$39.D8A.10AB$36.DEB9A.9AC$35.E2A.10A2.6AB$34.D14A.6A
$33.C3A.17AB$34.15A.4AE$33.F2.13A.FEBA$34.E13AC$34.F12AD$34.E12A$34.B
10A$34.A.FEDCBA.CF!

Code: Select all

x = 71, y = 71, rule = B23/03456H/C7
36.A32.A$34.4A29.4A$34.3A30.3A$33.4A29.4A$34.A32.A2$34.A30.A$32.A2B
29.2BA$32.B2D28.2DB$32.D2F27.2FD$32.F30.F3$34.A23.A$32.A2B22.2BA$32.B
2D21.2DB$32.D2F20.2FD$32.F23.F3$34.A16.A$32.A2B15.2BA$32.B2D14.2DB$
32.D2F13.2FD$32.F16.F$26.CDED6.BCACACACB6.DEDC$26.3AE6.8A6.E3A$24.F4A
BDEF.11A.FEDB4AF$25.3A.4A.A.6A.A.4A.3A$23.E.A.23A.A.E$22.F30AF$22.11A
.7A.11A$20.E13A.4A.13AE$19.F33AF$19.7A.2A.2A.6A.2A.2A.7A$17.F6A.9A.A.
9A.6AF$18.7A.2A.2A.6A.2A.2A.7A$17.F33AF$17.E13A.4A.13AE$18.11A.7A.11A
$17.F30AF$17.E.A.23A.A.E$18.3A.4A.A.6A.A.4A.3A$16.F4ABDEF.11A.FEDB4AF
$17.3AE6.8A6.E3A$16.CDED6.BCACACACB6.DEDC$21.F16.F$20.D2F13.2FD$19.B
2D14.2DB$18.A2B15.2BA$19.A16.A3$14.F23.F$13.D2F20.2FD$12.B2D21.2DB$
11.A2B22.2BA$12.A23.A3$7.F30.F$6.D2F27.2FD$5.B2D28.2DB$4.A2B29.2BA$5.
A30.A2$3.A32.A$.4A29.4A$.3A30.3A$4A29.4A$.A32.A!

Code: Select all

x = 64, y = 64, rule = B23/03456H/C7
39.BFCBEBCFB$38.C8AC$37.D4A.4AD$36.CA.6A.AC$35.B3A.3A.3AB$35.12A$33.F
6A.6AF$16.ABDF12.EB12ABE12.FDBA$16.BDF12.AEC5.A5.CEA12.FDB$15.ABDF12.
EB12ABE12.FDBA$31.F6A.6AF$32.12A$31.B3A.3A.3AB$31.CA.6A.AC$31.D4A.4AD
$9.A21.C8AC21.A$7.A2B21.BFCBEBCFB21.2BA$7.B2D50.2DB$7.D2F49.2FD$7.F
52.F12$8.AEF.BCDCB22.BCDCB.FEA$7.2EB6AF21.F6AB2E$6.FBC4A.2AC20.C2A.4A
CBF$6.2A.7AB19.B7A.2A$4.B3A.3A.3AE18.E3A.3A.3AB$3.C4A.5A.AB17.BA.5A.
4AC$2.D5A.7AC16.C7A.5AD$.CA.4A.A.5AF15.F5A.A.4A.AC$B3A.7A.3AB14.B3A.
7A.3AB$F5A.A.4A.AC15.CA.4A.A.5AF$C7A.5AD16.D5A.7AC$BA.5A.4AC17.C4A.5A
.AB$E3A.3A.3AB18.B3A.3A.3AE$B7A.2A21.2A.7AB$C2A.4ACBF20.FBC4A.2AC$F6A
B2E21.2EB6AF$BCDCB.FEA22.AEF.BCDCB12$9.F8.F$7.2FD7.D2F$7.2DB6.B2D$7.
2BA5.A2B$7.A8.A!

Code: Select all

x = 129, y = 129, rule = B23/03456H/C7
89.CD.ABCDEDCBA.DC$88.D14AD$88.15A$82.EF.F18AF.FE$81.F3A.8A.8A.3AF$
80.D26AD$79.E13A.13AE$78.F28AF$77.C14A.14AC$76.B30AB$76.F14A.14AF$76.
E4A.18A.4AE$76.DBCD2CDCBA.FEDBDEF.ABCD2CDCBD$80.A18.A3$86.E3.E$84.2EC
2.C2E$73.E8.2E2C3A2C2E8.E$72.C2E5.2E2C2A2.2A2C2E5.2EC$71.A2C2E2.2E2C
2A5.2A2C2E2.2E2CA$46.EFDEFCB18.2A2C3E2C2A8.2A2C3E2C2A18.BCFEDFE$45.F
6AF19.2AC2DC2A11.2AC2DC2A19.F6AF$45.7AE20.A3BA14.A3BA20.E7A$43.F8AD
21.2A17.2A21.D8AF$39.CD.A.7AB12.ABA34.ABA12.B7A.A.DC$38.D11AC12.B2AB
33.B2AB12.C11AD$38.11AD5.ECA4.4AD32.D4A4.ACE5.D11A$36.11A.C6.ECA4.B4A
31.4AB4.ACE6.C.11A$35.B11ACA5.ECA5.D2AB32.B2AD5.ACE5.AC11AB$34.C11AD
7.ECA5.ABA33.ABA5.ACE7.D11AC$33.D11AC7.ECA50.ACE7.C11AD$32.E11AB8.ECA
49.ACE8.B11AE$31.D12A8.EDB50.BDE8.12AD$30.C3A.7A8.2EDBA12.FEF19.FEF
12.ABD2E8.7A.3AC$29.B5A.5AF6.2E2CBA13.2DE18.E2D13.AB2C2E6.F5A.5AB$28.
8A.3AE5.2E2C2A15.FEA17.AEF15.2A2C2E5.E3A.8A$28.9A.AD4.2E2C2A11.F32.F
11.2A2C2E4.DA.9A$26.D11AB3.2E2C2A12.ED31.DE12.2A2C2E3.B11AD$25.C11AD
4.2C2A13.FDF30.FDF13.2A2C4.D11AC$25.D10AE5.2A15.2E31.2E15.2A5.E10AD$
26.9AF5.A17.A32.A17.A5.F9A$25.9A4.ECA69.ACE4.9A$24.F.8A4.ECA68.ACE4.
8A.F$24.8AB4.ECA69.ACE4.B8A$22.F8AC5.ECA68.ACE5.C8AF$21.E8AD5.ECA69.A
CE5.D8AE$21.F6A.C6.ECA68.ACE6.C.6AF$21.D6ACA5.ECA69.ACE5.AC6AD$21.E5A
D7.ECA68.ACE7.D5AE$21.F4AC7.ECA69.ACE7.C4AF$21.C3AB8.ECA68.ACE8.B3AC$
21.BFED8.EDB69.BDE8.DEFB$31.2EDBA68.ABD2E$29.2E2CBA69.AB2C2E$27.2E2C
2A72.2A2C2E$27.2C2A37.A37.2A2C$27.2A78.2A2$39.FEA50.AEF$38.EDE19.A11.
A19.EDE$37.FDF52.FDF$27.ABDA69.ADBA$26.B3AB68.B3AB$25.6A67.6A$25.B3AB
68.B3AB$25.ABDA69.ADBA$34.FDF52.FDF$34.EDE19.A11.A19.EDE$34.FEA50.AEF
2$20.2A78.2A$19.2C2A37.A37.2A2C$18.2E2C2A72.2A2C2E$19.2E2CBA69.AB2C2E
$20.2EDBA68.ABD2E$9.BFED8.EDB69.BDE8.DEFB$8.C3AB8.ECA68.ACE8.B3AC$7.F
4AC7.ECA69.ACE7.C4AF$6.E5AD7.ECA68.ACE7.D5AE$5.D6ACA5.ECA69.ACE5.AC6A
D$4.F6A.C6.ECA68.ACE6.C.6AF$3.E8AD5.ECA69.ACE5.D8AE$3.F8AC5.ECA68.ACE
5.C8AF$4.8AB4.ECA69.ACE4.B8A$3.F.8A4.ECA68.ACE4.8A.F$3.9A4.ECA69.ACE
4.9A$3.9AF5.A17.A32.A17.A5.F9A$.D10AE5.2A15.2E31.2E15.2A5.E10AD$C11AD
4.2C2A13.FDF30.FDF13.2A2C4.D11AC$D11AB3.2E2C2A12.ED31.DE12.2A2C2E3.B
11AD$.9A.AD4.2E2C2A11.F32.F11.2A2C2E4.DA.9A$8A.3AE5.2E2C2A15.FEA17.AE
F15.2A2C2E5.E3A.8A$B5A.5AF6.2E2CBA13.2DE18.E2D13.AB2C2E6.F5A.5AB$C3A.
7A8.2EDBA12.FEF19.FEF12.ABD2E8.7A.3AC$D12A8.EDB50.BDE8.12AD$E11AB8.EC
A49.ACE8.B11AE$D11AC7.ECA50.ACE7.C11AD$C11AD7.ECA5.ABA33.ABA5.ACE7.D
11AC$B11ACA5.ECA5.D2AB32.B2AD5.ACE5.AC11AB$11A.C6.ECA4.B4A31.4AB4.ACE
6.C.11A$.11AD5.ECA4.4AD32.D4A4.ACE5.D11A$D11AC12.B2AB33.B2AB12.C11AD$
CD.A.7AB12.ABA34.ABA12.B7A.A.DC$3.F8AD21.2A17.2A21.D8AF$4.7AE20.A3BA
14.A3BA20.E7A$3.F6AF19.2AC2DC2A11.2AC2DC2A19.F6AF$3.EFDEFCB18.2A2C3E
2C2A8.2A2C3E2C2A18.BCFEDFE$27.A2C2E2.2E2C2A5.2A2C2E2.2E2CA$27.C2E5.2E
2C2A2.2A2C2E5.2EC$27.E8.2E2C3A2C2E8.E$37.2EC2.C2E$38.E3.E3$29.A18.A$
24.DBCD2CDCBA.FEDBDEF.ABCD2CDCBD$23.E4A.18A.4AE$22.F14A.14AF$21.B30AB
$21.C14A.14AC$21.F28AF$21.E13A.13AE$21.D26AD$21.F3A.8A.8A.3AF$21.EF.F
18AF.FE$26.15A$25.D14AD$25.CD.ABCDEDCBA.DC!

Code: Select all

x = 8, y = 4, rule = B23/03456H/C7
2.2AFDBA$.3AFDB$.2A.ECA$2A.ECA!
Brian Prentice

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: Hexagonal Generations

Post by c0b0p0 » April 15th, 2015, 9:58 pm

Here is a G-to-p999 reaction.

Code: Select all

x = 61, y = 117, rule = B2/S1H/C3
52.2A$50.B2.A$51.A$49.A2.B$49.2A11$48.B$48.4A$47.4A2B.B$48.B3.BA$48.
2A$50.3A$52.A$56.ABA$57.2BA$56.2A.A$53.B2.2A2.A$60.B$57.B2.A$56.BA2.B
79$12.B$13.A$3.B7.A2BA$A2.A5.B.B.B.B$2A.AB5.A2BA$A2.A3B4.A$.3AB2.2B3.
B$.2A.2B2.3B$6.2B2.BA$8.A.2A!

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