Thread for Your Accidental Discoveries that Aren't in CGOL

For discussion of other cellular automata.
User avatar
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » January 11th, 2016, 9:58 pm

What I think is a new p12 oscillator in JustFriends:

Code: Select all

x = 6, y = 8, rule = JustFriends
4bo$4bo$b2o$4b2o2$2bobo$o3bo$o3bo!
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

Aidan F. Pierce

User avatar
velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by velcrorex » January 13th, 2016, 5:52 pm

p238 oscillator in B367/S2457

Code: Select all

x = 7, y = 8, rule = B367/S2457
2bo$ob5o$b6o$o2b4o$o2b4o$b6o$ob5o$2bo!
-Josh Ball.

User avatar
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » February 7th, 2016, 11:39 pm

4-cell methuselah lasts 3851 gens and produces a 2479-cell SL:

Code: Select all

x = 3, y = 4, rule = B2-a5_S135678
bo$bo$2bo$o!
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

Aidan F. Pierce

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » February 8th, 2016, 2:02 pm

A for awesome wrote:4-cell methuselah lasts 3851 gens and produces a 2479-cell SL:

Code: Select all

x = 3, y = 4, rule = B2-a5_S135678
bo$bo$2bo$o!
RULE?
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

User avatar
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » February 8th, 2016, 3:15 pm

drc wrote:RULE?
Here:

Code: Select all

@RULE B2-a5_S135678
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate8reflect
0,1,0,1,0,0,0,0,0,1
0,1,0,0,1,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,0,0,1,1,1,1,1,1
0,0,0,1,0,1,1,1,1,1
0,0,0,1,1,0,1,1,1,1
0,0,0,1,1,1,0,1,1,1
0,0,0,1,1,1,1,0,1,1
0,0,0,1,1,1,1,1,0,1
0,0,1,0,1,0,1,1,1,1
0,0,1,0,1,1,0,1,1,1
0,0,1,1,0,1,0,1,1,1
0,1,0,1,0,1,0,1,1,1
1,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
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

Aidan F. Pierce

User avatar
dvgrn
Moderator
Posts: 5888
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by dvgrn » February 8th, 2016, 3:31 pm

A for awesome wrote:
drc wrote:RULE?
Here:

Code: Select all

@RULE B2-a5_S135678...
To generate a rule table for any standard Hensel neighbors2-format rule, just paste the rule string into this script. The rules are generated automatically, so they're not quite as efficient as the above specification -- 47 lines instead of 31, in this case -- but they're a little easier to understand, with labeled sections for birth and survival and death transitions.

With any luck Golly will eventually support Hensel's neighbors2 rule format, and then the script won't be necessary.

Meanwhile, please let me know if you run into any problems with the rule-generator script. If there are bugs, I'd like to know sooner rather than later!

User avatar
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » February 10th, 2016, 10:00 am

A microreflector (repeat time 17) in a non-totalistic rule:

Code: Select all

x = 14, y = 13, rule = B2ce3ai_S23
8b2o$8b2o2$9b2o$9b2ob2o$12b2o3$2o2b2o$2o2b2o$9bo$8bobo$8bobo!
I think this rule might be omniperiodic. The only true periods I haven't seen are 7, 11-12, and 14-15.
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

Aidan F. Pierce

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » February 10th, 2016, 1:16 pm

A for awesome wrote:A microreflector (repeat time 17) in a non-totalistic rule:

Code: Select all

x = 14, y = 13, rule = B2ce3ai_S23
8b2o$8b2o2$9b2o$9b2ob2o$12b2o3$2o2b2o$2o2b2o$9bo$8bobo$8bobo!
I think this rule might be omniperiodic. The only true periods I haven't seen are 7, 11-12, and 14-15.
only 11 and 15 left till omniperiodicidity (o.O)
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

User avatar
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » February 10th, 2016, 5:31 pm

A p26 gun:

Code: Select all

x = 13, y = 14, rule = B2ce3ai_S23
3b2o3b2o$3b2o3b2o2$2b2o2bo2b2o$2b2obobob2o$5bobo$6bo4$b2o7b2o$2bo7bo$o
11bo$2o9b2o!
Edit: A glider duplicator with an unfortunate repeat time of 67:

Code: Select all

x = 13, y = 56, rule = B2ce3ai_S23
9b2o$9b2o$7bo4bo$2b2o3b2o2b2o$2b2o5b2o4$3b2o$3b2o2$2o$o$2bo$b2o3$4b2o$
4b2o3bo$8bobo$8bobo32$8b3o$8bobo2$9bo!
I can't figure out how to separate those gliders, though.
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

Aidan F. Pierce

Sphenocorona
Posts: 480
Joined: April 9th, 2013, 11:03 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Sphenocorona » February 12th, 2016, 12:37 am

Here's some non-trivial oscillators for all periods from 2 to 18 in 2ce3ai, plus a few larger periods (such as 43):

Code: Select all

x = 170, y = 121, rule = B2ce3ai_S23
139b2o$139b2o$obobo12bobo$20bo122b2o$4bo29bobo8b2o3b2o23bo2bo45bo2bobo
13b2o$19bo26bobo2bo30bo59bo$obobo27bo3bo6b3o2b2o2b2o21bo2bo3bo41bo2bo
3bo$20bo22bo2bo3bo2bo83b2o5b2o$o10bo5bobo12bobobo8bo5bo23bo2bobobo4bob
obobobobo5bobobobobobobobo6bo4bo8bo5bo$23b2o19b2o4b2o84bo2bobobo2bo$ob
obo6bo11bo12bo14bob2o20bo6bo41bo2bo3bo4b2o2b3o2b2o$25bo24bo2b2o83bo5bo
$22b3o7bobo15bo24bo6bo41bo4bobo6b7o$22bo2bo22b2o2bo$24bo21b2o3b2o87b4o
$23b2o21bo2bo90bo2bo$48b2o4$98bo2bo$o18b2o77b4o$4bo6b2o3b2o2bo25bo$o3b
o6bo2b2o2bo27bo49b7o$13bo4bo11bo2bobobo25b2o10bo2bobobo9b2o2bo5bo$obob
o8bobo3bo35b2o3b2o2bo27bo2bo2b3o2b2o$14bo4bo10bo2bo3bo4b2o5b2o4bo2b2o
2bo12bo2bo15bo2bo3bo2bo$4bo9bo2b2o24bo5bo7bo2bo2bo29bo2bo5bo$12bo2b2o
3bo9bo2bo3bo3bo2bobobo2bo4bo3bob2o11bo2bobo10b2o2b2o5b2o$4bo7b2o5b2o
20b2o2b3o2b2o4bo4bobob2o24bo2bo$30bo2bo3bo5bo5bo7bo4bo2b2o8bo6bo5b2obo
bob2o$43b7o5bobo4bo26bobobo2bo$30bo2bobobo17b2o3b2o13bo2bobo8bobobob2o
5bo$45b4o9bobo2bo24b2obo2bo2bo3b2o53b2o$45bo2bo9b2o2bob2o25b2o2b2o59bo
2bo$61b2obo28bo2bo57b2o2b2o4b2o$64bo28b2o56b2obo2bo6b2o$64b2o86bobobo$
152bobob2o$142b2o3b2o2b2obobo$124bobobo2bo8b2o2b2o2bo5bo2bo$obobo14b2o
71b2o44b2o6bo7b2o2b2o5b2o$15b2o2bo2bo20b2o47b2o4b2o28bo2bo7bo7bo8bo2bo
5bo$o14b2obo2b2o20bo2bo51b2o37bo8b2o9bo2bobobo2bo$18bo11bo2bo11b2o28bo
2bobobo8b4o31bo4bo5b2ob2o5bob2o4bo2bo2b3o2b2o$obobo10b4ob2o69bo2bo2bo
43bo4bo2b2o4b2o2bo5bo$13b2o5bo9bo2bo8b2o5b2o24bo2bo18bo26bo6bo7bo2b2o
2bo12b7o$4bo6bo2bo7bo20bo5bo45bo43b2o3b2o2bo$11b2o8b2o7bo2bo7bo2bo3bo
2bo23bo2bobobo9b2o5b2o23bobobo2bo15b2o12b4o$obobo36b2o2b3o2b2o41bo5bo
61bo2bo$30bo2bo9bo5bo25bo2bo3bo8bo2bobobo2bo$43b7o41b2o2b3o2b2o$30bo2b
o41bo2bobo12bo5bo$45b4o44b7o$45bo2bo96bo2bo19b2o$95b4o46b4o17bo2bo$95b
o2bo65bob2o$143b7o12bob2o$48bo2bo91bo5bo10bob2o$48b4o89b2o2b3o2b2o6bob
2o$141bo2bobobo2bo4bob2o$2bobo41b7o71bobobo2bobobo7bo5bo4bob2o$46bo5bo
89b2o5b2o3b2o$o43b2o2b3o2b2o73bo6bo$30bo2bobobo6bo2bobobo2bo$obobo7bob
obobo27bo5bo73bobo2bobo$30bo6bo3b2o2b2o5b2o$o3bo36b2o12bo72bo2bo13b2o
5b2o$30bo2bobo17b3o4bobobobobobobobo71bo5bo$obo39b3o79bobobo2bobobo8bo
2bobobo2bo$30bo2bo8bo12b2o3bobobobobobobobo69b2o2b3o2b2o$44b2o5b2o2b2o
89bo5bo$30bo2bobobo7bo5bo94b7o$43bo2bobobo2bo$43b2o2b3o2b2o94b4o$45bo
5bo96bo2bo$45b7o2$47b4o$47bo2bo2$obobo8b2o5b2o24bo2bo46b2o53b2o$13bo3b
2o2bo24b4o46b2o53bo2bo$4bo10b2o2bo129b2o2b2o$14bo5bo9bo2bobobo6b7o23bo
2bobobo13b4o25bobobo2bobobo10b2obo2bo6b2o$4bo9bobo3bo23bo5bo44bo2bo48b
obobo7b2o$11b2ob2o4bob2o4bobo6bo4b2o2b3o2b2o21bo6bo46bo2bo3bo11bobob2o
$4bo6b2o6bo3bo18bo2bobobo2bo93b2obobo$16b2obobo8bo4bo8bo5bo23bo4bo10b
2o6b2o26bobo2bobobo13bo2bo$4bo11bo2bob2o20b2o5b2o36bo2bo6bo50b2o2b2o5b
2o$18b2o10bo6bo36bo4bo8b2o2b2obobo2bo27bo2bo3bo15bo2bo5bo$90bo3b3o2b2o
51bo2bobobo2bo$30bo2bobobo6b2o5b2o21bo4bo10b2o6bo25bobobo2bobobo14bo2b
o2b3o2b2o$45bo5bo41b2o2b2o51b2o2bo5bo$43bo2bobobo2bo39b2o59b7o$43b2o2b
3o2b2o$45bo5bo104b4o$45b7o104bo2bo2$47b4o$47bo2bo$obobo10b2o2b2o$15b2o
2b2o$o3bo$13b7o104b2o$obobo8bo5bo104bo2bo2b2o$11b2o2b3o2b2o100b2o2b2o
2b2o$o3bo6bo2bo3bo2bo97b2obo2bo$13bo5bo80bo6bobobo8bobobo7b2o$obobo7b
2o5b2o83bo15bobobo7b2o$25bobobobobobobobo60bo3bo6bo7b2obobo$15b2o105bo
2bo$15b2o8bobobobobobobobo60bobobo4bo12b2o2b2o2bo2b2o$124bo2bobobobo$
25bobobobobobobobo64bo6bo13bo2bo3bo2bo$123bo2bo2b3o2b2o$25bobobobobobo
bobo64bo2bobobo11b2o2bo5bo$127b7o2$129b4o$129bo2bo!
That little p10 oscillator with the isolated pip spark was probably the most important finding in all of this, it provided an extremely easily manipulated ignition source for restarting the cycle over once any smoke clears out of the way. It's also very easy to phase shift.

Now that we know this rule is omniperiodic, the next problem is building circuits (or finding new spaceships)...

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » February 12th, 2016, 9:32 am

Sphenocorona wrote:Here's some non-trivial oscillators for all periods from 2 to 18 in 2ce3ai, plus a few larger periods (such as 43):

Code: Select all

x = 170, y = 121, rule = B2ce3ai_S23
139b2o$139b2o$obobo12bobo$20bo122b2o$4bo29bobo8b2o3b2o23bo2bo45bo2bobo
13b2o$19bo26bobo2bo30bo59bo$obobo27bo3bo6b3o2b2o2b2o21bo2bo3bo41bo2bo
3bo$20bo22bo2bo3bo2bo83b2o5b2o$o10bo5bobo12bobobo8bo5bo23bo2bobobo4bob
obobobobo5bobobobobobobobo6bo4bo8bo5bo$23b2o19b2o4b2o84bo2bobobo2bo$ob
obo6bo11bo12bo14bob2o20bo6bo41bo2bo3bo4b2o2b3o2b2o$25bo24bo2b2o83bo5bo
$22b3o7bobo15bo24bo6bo41bo4bobo6b7o$22bo2bo22b2o2bo$24bo21b2o3b2o87b4o
$23b2o21bo2bo90bo2bo$48b2o4$98bo2bo$o18b2o77b4o$4bo6b2o3b2o2bo25bo$o3b
o6bo2b2o2bo27bo49b7o$13bo4bo11bo2bobobo25b2o10bo2bobobo9b2o2bo5bo$obob
o8bobo3bo35b2o3b2o2bo27bo2bo2b3o2b2o$14bo4bo10bo2bo3bo4b2o5b2o4bo2b2o
2bo12bo2bo15bo2bo3bo2bo$4bo9bo2b2o24bo5bo7bo2bo2bo29bo2bo5bo$12bo2b2o
3bo9bo2bo3bo3bo2bobobo2bo4bo3bob2o11bo2bobo10b2o2b2o5b2o$4bo7b2o5b2o
20b2o2b3o2b2o4bo4bobob2o24bo2bo$30bo2bo3bo5bo5bo7bo4bo2b2o8bo6bo5b2obo
bob2o$43b7o5bobo4bo26bobobo2bo$30bo2bobobo17b2o3b2o13bo2bobo8bobobob2o
5bo$45b4o9bobo2bo24b2obo2bo2bo3b2o53b2o$45bo2bo9b2o2bob2o25b2o2b2o59bo
2bo$61b2obo28bo2bo57b2o2b2o4b2o$64bo28b2o56b2obo2bo6b2o$64b2o86bobobo$
152bobob2o$142b2o3b2o2b2obobo$124bobobo2bo8b2o2b2o2bo5bo2bo$obobo14b2o
71b2o44b2o6bo7b2o2b2o5b2o$15b2o2bo2bo20b2o47b2o4b2o28bo2bo7bo7bo8bo2bo
5bo$o14b2obo2b2o20bo2bo51b2o37bo8b2o9bo2bobobo2bo$18bo11bo2bo11b2o28bo
2bobobo8b4o31bo4bo5b2ob2o5bob2o4bo2bo2b3o2b2o$obobo10b4ob2o69bo2bo2bo
43bo4bo2b2o4b2o2bo5bo$13b2o5bo9bo2bo8b2o5b2o24bo2bo18bo26bo6bo7bo2b2o
2bo12b7o$4bo6bo2bo7bo20bo5bo45bo43b2o3b2o2bo$11b2o8b2o7bo2bo7bo2bo3bo
2bo23bo2bobobo9b2o5b2o23bobobo2bo15b2o12b4o$obobo36b2o2b3o2b2o41bo5bo
61bo2bo$30bo2bo9bo5bo25bo2bo3bo8bo2bobobo2bo$43b7o41b2o2b3o2b2o$30bo2b
o41bo2bobo12bo5bo$45b4o44b7o$45bo2bo96bo2bo19b2o$95b4o46b4o17bo2bo$95b
o2bo65bob2o$143b7o12bob2o$48bo2bo91bo5bo10bob2o$48b4o89b2o2b3o2b2o6bob
2o$141bo2bobobo2bo4bob2o$2bobo41b7o71bobobo2bobobo7bo5bo4bob2o$46bo5bo
89b2o5b2o3b2o$o43b2o2b3o2b2o73bo6bo$30bo2bobobo6bo2bobobo2bo$obobo7bob
obobo27bo5bo73bobo2bobo$30bo6bo3b2o2b2o5b2o$o3bo36b2o12bo72bo2bo13b2o
5b2o$30bo2bobo17b3o4bobobobobobobobo71bo5bo$obo39b3o79bobobo2bobobo8bo
2bobobo2bo$30bo2bo8bo12b2o3bobobobobobobobo69b2o2b3o2b2o$44b2o5b2o2b2o
89bo5bo$30bo2bobobo7bo5bo94b7o$43bo2bobobo2bo$43b2o2b3o2b2o94b4o$45bo
5bo96bo2bo$45b7o2$47b4o$47bo2bo2$obobo8b2o5b2o24bo2bo46b2o53b2o$13bo3b
2o2bo24b4o46b2o53bo2bo$4bo10b2o2bo129b2o2b2o$14bo5bo9bo2bobobo6b7o23bo
2bobobo13b4o25bobobo2bobobo10b2obo2bo6b2o$4bo9bobo3bo23bo5bo44bo2bo48b
obobo7b2o$11b2ob2o4bob2o4bobo6bo4b2o2b3o2b2o21bo6bo46bo2bo3bo11bobob2o
$4bo6b2o6bo3bo18bo2bobobo2bo93b2obobo$16b2obobo8bo4bo8bo5bo23bo4bo10b
2o6b2o26bobo2bobobo13bo2bo$4bo11bo2bob2o20b2o5b2o36bo2bo6bo50b2o2b2o5b
2o$18b2o10bo6bo36bo4bo8b2o2b2obobo2bo27bo2bo3bo15bo2bo5bo$90bo3b3o2b2o
51bo2bobobo2bo$30bo2bobobo6b2o5b2o21bo4bo10b2o6bo25bobobo2bobobo14bo2b
o2b3o2b2o$45bo5bo41b2o2b2o51b2o2bo5bo$43bo2bobobo2bo39b2o59b7o$43b2o2b
3o2b2o$45bo5bo104b4o$45b7o104bo2bo2$47b4o$47bo2bo$obobo10b2o2b2o$15b2o
2b2o$o3bo$13b7o104b2o$obobo8bo5bo104bo2bo2b2o$11b2o2b3o2b2o100b2o2b2o
2b2o$o3bo6bo2bo3bo2bo97b2obo2bo$13bo5bo80bo6bobobo8bobobo7b2o$obobo7b
2o5b2o83bo15bobobo7b2o$25bobobobobobobobo60bo3bo6bo7b2obobo$15b2o105bo
2bo$15b2o8bobobobobobobobo60bobobo4bo12b2o2b2o2bo2b2o$124bo2bobobobo$
25bobobobobobobobo64bo6bo13bo2bo3bo2bo$123bo2bo2b3o2b2o$25bobobobobobo
bobo64bo2bobobo11b2o2bo5bo$127b7o2$129b4o$129bo2bo!
That little p10 oscillator with the isolated pip spark was probably the most important finding in all of this, it provided an extremely easily manipulated ignition source for restarting the cycle over once any smoke clears out of the way. It's also very easy to phase shift.

Now that we know this rule is omniperiodic, the next problem is building circuits (or finding new spaceships)...
I think we should make a list of rules that are omniperiodic:

B2ce3ai/S23

To do:

B3/S23 (I honestly don't know how litely.
B3/S234 (probably)
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

User avatar
BlinkerSpawn
Posts: 1906
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by BlinkerSpawn » February 12th, 2016, 6:45 pm

drc wrote: I think we should make a list of rules that are omniperiodic:

B2ce3ai/S23

To do:

B3/S23 (I honestly don't know how litely.
B3/S234 (probably)
I hope you're limiting that to rules close to Life, because there's tons more than those.
B3/S234 was proven omniperiodic some time ago, just check the dedicated thread I bumped some weeks ago.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » February 12th, 2016, 9:26 pm

BlinkerSpawn wrote:
drc wrote: I think we should make a list of rules that are omniperiodic:

B2ce3ai/S23

To do:

B3/S23 (I honestly don't know how litely.
B3/S234 (probably)
I hope you're limiting that to rules close to Life, because there's tons more than those.
B3/S234 was proven omniperiodic some time ago, just check the dedicated thread I bumped some weeks ago.
I didn't know about those.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » February 15th, 2016, 5:57 am

Has this HighLife replicator-based ship been discovered before?

Code: Select all

x = 12, y = 15, rule = B36/S23
6bobo$5bo2bo$6bobo5$2b2o2$9b3o2$3o4bo$bobo3bo$2b2o$3bo!
EDIT: Yep, it has. Disregard this post
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

User avatar
A for awesome
Posts: 1901
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1
Contact:

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » February 15th, 2016, 5:59 pm

Code: Select all

x = 22, y = 22, rule = B3-kq4j_S23
7b2o$7b2o$10b2o$9bo$10bo3$6bo8b2o3b2o$4b2o9bobo2b2o$5b2o8bo3$6bo8b2o$
2o2bobo9b2o$2o3b2o8bo3$11bo$12bo$10b2o$13b2o$13b2o!
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

Aidan F. Pierce

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » February 15th, 2016, 6:14 pm

A for awesome wrote:

Code: Select all

x = 22, y = 22, rule = B3-kq4j_S23
7b2o$7b2o$10b2o$9bo$10bo3$6bo8b2o3b2o$4b2o9bobo2b2o$5b2o8bo3$6bo8b2o$
2o2bobo9b2o$2o3b2o8bo3$11bo$12bo$10b2o$13b2o$13b2o!
Repeat time is 5:

Code: Select all

x = 8, y = 8, rule = B3-kq4j_S23
2o4b2o$2o4b2o2$2bobo$2b2o$3bo$2o4b2o$2o4b2o!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » March 3rd, 2016, 6:10 pm

Awesome.

Code: Select all

x = 30, y = 23, rule = cb2
b2o3b2o$o2bobo2bo$4bo$2b5o18$27b2o$26bo2bo!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » March 3rd, 2016, 7:11 pm

B2aen/S1e2i is similar to cb2, it's pretty cool. Despite what you might think at first, it is NOT the same as cb2.

In cb2, this pattern turns into a moon, but in B2aen/S1e2i is a growing rake, front c, back c/2:

Code: Select all

x = 6, y = 6, rule = B2aen_S1e2i
2b2o$bo2bo$o4bo$3bo$3bo$3bo!
A p6 oscillator:

Code: Select all

x = 4, y = 4, rule = B2aen_S1e2i
o$bo$2bo$3bo!
A p6 flip-flop glide-symmetric rake:

Code: Select all

x = 7, y = 3, rule = B2aen_S1e2i
b2ob2o$o3bobo$4bo!
Tagalongs:

Code: Select all

x = 13, y = 5, rule = B2aen_S1e2i
b2o7b2o$o2bo5bo2bo$8bo$bo$8bo!
P4 rake:

Code: Select all

x = 8, y = 4, rule = B2aen_S1e2i
b2o$o2bo$5b2o$7bo!
P16 rake:

Code: Select all

x = 9, y = 11, rule = B2aen_S1e2i
o$bo$2bo$3bo$4bo$5bo$6bo$7bo$8bo$8bo$7bo!
Splitter rake:

Code: Select all

x = 16, y = 15, rule = B2aen_S1e2i
7bo$8bo$8bo$7bo$o12bo$bo4bo5bobo$5bo9bo$15bo$12bobo$bo7b2o2bo$bo8bo$9b
o$12bo$12bo$11bo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » March 3rd, 2016, 7:14 pm

drc wrote:B2aen/S1e2i is similar to cb2, it's pretty cool. Despite what you might think at first, it is NOT the same as cb2.

In cb2, this pattern turns into a moon, but in B2aen/S1e2i is a growing rake, front c, back c/2:

Code: Select all

x = 6, y = 6, rule = B2aen_S1e2i
2b2o$bo2bo$o4bo$3bo$3bo$3bo!
A p6 oscillator:

Code: Select all

x = 4, y = 4, rule = B2aen_S1e2i
o$bo$2bo$3bo!
A p6 flip-flop glide-symmetric rake:

Code: Select all

x = 7, y = 3, rule = B2aen_S1e2i
b2ob2o$o3bobo$4bo!
Tagalongs:

Code: Select all

x = 13, y = 5, rule = B2aen_S1e2i
b2o7b2o$o2bo5bo2bo$8bo$bo$8bo!
P4 rake:

Code: Select all

x = 8, y = 4, rule = B2aen_S1e2i
b2o$o2bo$5b2o$7bo!
P16 rake:

Code: Select all

x = 9, y = 11, rule = B2aen_S1e2i
o$bo$2bo$3bo$4bo$5bo$6bo$7bo$8bo$8bo$7bo!
Splitter rake:

Code: Select all

x = 16, y = 15, rule = B2aen_S1e2i
7bo$8bo$8bo$7bo$o12bo$bo4bo5bobo$5bo9bo$15bo$12bobo$bo7b2o2bo$bo8bo$9b
o$12bo$12bo$11bo!
Can you give me the rule sheet thing?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » March 3rd, 2016, 7:21 pm

muzik wrote:Can you give me the rule sheet thing?

Code: Select all

# isotropic-rule-gen.py, version 1.1
# Change from v1.0:
#    added @ICONS section to output rule, to avoid triggering shared-rule logic in Golly
#
# isotropic-rule.py / isotropicRulegen.py
# Auxillary rule generator from wildmyron's non-totalistic version of apgsearch
# The rulespace is the set of isotropic non-totalistic rules on the Moore
# neighbourhood, using Alan Hensel's notation.
# See http://www.ibiblio.org/lifepatterns/neighbors2.html
# Generate a rule table for an isotropic rule using Alan Hensel's
# isotropic, non-totalistic rule format for CA on the Moore neighbourhood

import golly as g
import os

# Generates the helper rules for apgsearch-isotropic, given a base isotropic 
# rule in Hensel's notation.
class RuleGenerator:

    # notationdict adapted from Eric Goldstein's HenselNotation->Ruletable(1.3).py
    # Modified for neighbourhood2 version of Hensel's notation
    notationdict = {
        "0"  : [0,0,0,0,0,0,0,0],   #    
        "1e" : [1,0,0,0,0,0,0,0],   #   N
        "1c" : [0,1,0,0,0,0,0,0],   #   NE
        "2a" : [1,1,0,0,0,0,0,0],   #   N,  NE
        "2e" : [1,0,1,0,0,0,0,0],   #   N,  E
        "2k" : [1,0,0,1,0,0,0,0],   #   N,  SE
        "2i" : [1,0,0,0,1,0,0,0],   #   N,  S
        "2c" : [0,1,0,1,0,0,0,0],   #   NE, SE
        "2n" : [0,1,0,0,0,1,0,0],   #   NE, SW
        "3a" : [1,1,1,0,0,0,0,0],   #   N,  NE, E
        "3n" : [1,1,0,1,0,0,0,0],   #   N,  NE, SE
        "3r" : [1,1,0,0,1,0,0,0],   #   N,  NE, S
        "3q" : [1,1,0,0,0,1,0,0],   #   N,  NE, SW
        "3j" : [1,1,0,0,0,0,1,0],   #   N,  NE, W
        "3i" : [1,1,0,0,0,0,0,1],   #   N,  NE, NW
        "3e" : [1,0,1,0,1,0,0,0],   #   N,  E,  S
        "3k" : [1,0,1,0,0,1,0,0],   #   N,  E,  SW
        "3y" : [1,0,0,1,0,1,0,0],   #   N,  SE, SW
        "3c" : [0,1,0,1,0,1,0,0],   #   NE, SE, SW
        "4a" : [1,1,1,1,0,0,0,0],   #   N,  NE, E,  SE
        "4r" : [1,1,1,0,1,0,0,0],   #   N,  NE, E,  S
        "4q" : [1,1,1,0,0,1,0,0],   #   N,  NE, E,  SW
        "4i" : [1,1,0,1,1,0,0,0],   #   N,  NE, SE, S
        "4y" : [1,1,0,1,0,1,0,0],   #   N,  NE, SE, SW
        "4k" : [1,1,0,1,0,0,1,0],   #   N,  NE, SE, W
        "4n" : [1,1,0,1,0,0,0,1],   #   N,  NE, SE, NW
        "4z" : [1,1,0,0,1,1,0,0],   #   N,  NE, S,  SW
        "4j" : [1,1,0,0,1,0,1,0],   #   N,  NE, S,  W
        "4t" : [1,1,0,0,1,0,0,1],   #   N,  NE, S,  NW
        "4w" : [1,1,0,0,0,1,1,0],   #   N,  NE, SW, W
        "4e" : [1,0,1,0,1,0,1,0],   #   N,  E,  S,  W
        "4c" : [0,1,0,1,0,1,0,1],   #   NE, SE, SW, NW
        "5i" : [1,1,1,1,1,0,0,0],   #   N,  NE, E,  SE, S
        "5j" : [1,1,1,1,0,1,0,0],   #   N,  NE, E,  SE, SW
        "5n" : [1,1,1,1,0,0,1,0],   #   N,  NE, E,  SE, W
        "5a" : [1,1,1,1,0,0,0,1],   #   N,  NE, E,  SE, NW
        "5q" : [1,1,1,0,1,1,0,0],   #   N,  NE, E,  S,  SW
        "5c" : [1,1,1,0,1,0,1,0],   #   N,  NE, E,  S,  W
        "5r" : [1,1,0,1,1,1,0,0],   #   N,  NE, SE, S,  SW
        "5y" : [1,1,0,1,1,0,1,0],   #   N,  NE, SE, S,  W
        "5k" : [1,1,0,1,0,1,1,0],   #   N,  NE, SE, SW, W
        "5e" : [1,1,0,1,0,1,0,1],   #   N,  NE, SE, SW, NW
        "6a" : [1,1,1,1,1,1,0,0],   #   N,  NE, E,  SE, S,  SW
        "6c" : [1,1,1,1,1,0,1,0],   #   N,  NE, E,  SE, S,  W
        "6k" : [1,1,1,1,0,1,1,0],   #   N,  NE, E,  SE, SW, W
        "6e" : [1,1,1,1,0,1,0,1],   #   N,  NE, E,  SE, SW, NW
        "6n" : [1,1,1,0,1,1,1,0],   #   N,  NE, E,  S,  SW, W
        "6i" : [1,1,0,1,1,1,0,1],   #   N,  NE, SE, S,  SW, NW
        "7c" : [1,1,1,1,1,1,1,0],   #   N,  NE, E,  SE, S,  SW, W
        "7e" : [1,1,1,1,1,1,0,1],   #   N,  NE, E,  SE, S,  SW, NW
        "8"  : [1,1,1,1,1,1,1,1],   #   N,  NE, E,  SE, S,  SW, W,  NW
        }
    
    allneighbours = [  
        ["0"],
        ["1e", "1c"],
        ["2a", "2e", "2k", "2i", "2c", "2n"],
        ["3a", "3n", "3r", "3q", "3j", "3i", "3e", "3k", "3y", "3c"],
        ["4a", "4r", "4q", "4i", "4y", "4k", "4n", "4z", "4j", "4t", "4w", "4e", "4c"],
        ["5i", "5j", "5n", "5a", "5q", "5c", "5r", "5y", "5k", "5e"],
        ["6a", "6c", "6k", "6e", "6n", "6i"],
        ["7c", "7e"],
        ["8"],
        ]
        
    allneighbours_flat = [n for x in allneighbours for n in x]
    
    numneighbours = len(notationdict)
    
    # Use dict to store rule elements, initialised by setrule():
    bee = {}
    ess = {}
    alphanumeric = ""
    rulename = ""
    
    # Save the isotropic rule
    def saveAllRules(self):    
        self.saveIsotropicRule()
    
    # Interpret birth or survival string
    def ruleparts(self, part):

        inverse = False
        nlist = []
        totalistic = True
        rule = { k: False for k, v in self.notationdict.iteritems() }
        
        # Reverse the rule string to simplify processing
        part = part[::-1]
        
        for c in part:
            if c.isdigit():
                d = int(c)
                if totalistic:
                    # Add all the neighbourhoods for this value
                    for neighbour in self.allneighbours[d]:
                        rule[neighbour] = True
                elif inverse:
                    # Add all the neighbourhoods not in nlist for this value
                    for neighbour in self.allneighbours[d]:
                        if neighbour[1] not in nlist:
                            rule[neighbour] = True
                else:
                    # Add all the neighbourhoods in nlist for this value
                    for n in nlist:
                        neighbour = c + n
                        if neighbour in rule:
                            rule[neighbour] = True
                        else:
                            # Error
                            return {}
                    
                inverse = False
                nlist = []
                totalistic = True

            elif (c == '-'):
                inverse = True

            else:
                totalistic = False
                nlist.append(c)
        
        return rule

    # Set isotropic, non-totalistic rule
    # Adapted from Eric Goldstein's HenselNotation->Ruletable(1.3).py
    def setrule(self, rulestring):
    
        # neighbours_flat = [n for x in neighbours for n in x]
        b = {}
        s = {}
        sep = ''
        birth = ''
        survive = ''
        
        rulestring = rulestring.lower()
        
        if '/' in rulestring:
            sep = '/'
        elif '_' in rulestring:
            sep = '_'
        elif (rulestring[0] == 'b'):
            sep = 's'
        else:
            sep = 'b'
        
        survive, birth = rulestring.split(sep)
        if (survive[0] == 'b'):
            survive, birth = birth, survive
        survive = survive.replace('s', '')
        birth = birth.replace('b', '')
        
        b = self.ruleparts(birth)
        s = self.ruleparts(survive)

        if b and s:
            self.alphanumeric = 'B' + birth + 'S' + survive
            self.rulename = 'B' + birth + '_S' + survive
            self.bee = b
            self.ess = s
        else:
            # Error
            g.note("Unable to process rule definition.\n" +
                    "b = " + str(b) + "\ns = " + str(s))
            g.exit()
            

    # Save a rule file:
    def saverule(self, name, comments, table, colours):
        
        ruledir = g.getdir("rules")
        filename = ruledir + name + ".rule"

        results = "@RULE " + name + "\n\n"
        results += "*** File autogenerated by saverule. ***\n\n"
        results += comments
        results += "\n\n@TABLE\n\n"
        results += table
        results += "\n\n@COLORS\n\n"
        results += colours
        results += "\n\n@ICONS\n\n"
        results += "circles\n"

        # Only create a rule file if it doesn't already exist; this avoids
        # concurrency issues when booting an instance of apgsearch whilst
        # one is already running.
        if not os.path.exists(filename):
            try:
                f = open(filename, 'w')
                f.write(results)
                f.close()
            except:
                g.warn("Unable to create rule table:\n" + filename)

    # Defines a variable:
    def newvar(self, name, vallist):

        line = "var "+name+"={"
        for i in xrange(len(vallist)):
            if (i > 0):
                line += ','
            line += str(vallist[i])
        line += "}\n"

        return line

    # Defines a block of equivalent variables:
    def newvars(self, namelist, vallist):

        block = "\n"

        for name in namelist:
            block += self.newvar(name, vallist)

        return block

    def scoline(self, chara, charb, left, right, amount):

        line = str(left) + ","

        for i in xrange(8):
            if (i < amount):
                line += chara
            else:
                line += charb
            line += chr(97 + i)
            line += ","

        line += str(right) + "\n"

        return line

    def isotropicline(self, chara, charb, left, right, n):

        line = str(left) + ","
        neighbours = self.notationdict[n]
        
        for i in xrange(8):
            if neighbours[i]:
                line += chara
            else:
                line += charb
            line += chr(97 + i)
            line += ","

        line += str(right) + "\n"

        return line
        
    def saveIsotropicRule(self):
    
        comments = """
This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details
"""

        table = """
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
"""

        table += self.newvars(["a","b","c","d","e","f","g","h"], [0, 1])

        table += "\n# Birth\n"
        for n in self.allneighbours_flat:
            if self.bee[n]:
                table += "0,"
                table += str(self.notationdict[n])[1:-1].replace(' ','')
                table += ",1\n"
        
        table += "\n# Survival\n"
        for n in self.allneighbours_flat:
            if self.ess[n]:
                table += "1,"
                table += str(self.notationdict[n])[1:-1].replace(' ','')
                table += ",1\n"

        table += "\n# Death\n"
        table += self.scoline("","",1,0,0)
        
        colours = ""
        self.saverule(self.rulename, comments, table, colours)

rulestring = g.getstring("Enter rule string in Alan Hensel's isotropic rule notation", 
                         "B2-a/S12")

rg = RuleGenerator()

rg.setrule(rulestring)
rg.saveIsotropicRule()
g.setrule(rg.rulename)

g.show("Created rule in file: " + rg.rulename + ".rule")
Enter in any rule to auto-generate a rule table
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » March 3rd, 2016, 8:05 pm

drc wrote:
muzik wrote:Can you give me the rule sheet thing?

Code: Select all

# isotropic-rule-gen.py, version 1.1
# Change from v1.0:
#    added @ICONS section to output rule, to avoid triggering shared-rule logic in Golly
#
# isotropic-rule.py / isotropicRulegen.py
# Auxillary rule generator from wildmyron's non-totalistic version of apgsearch
# The rulespace is the set of isotropic non-totalistic rules on the Moore
# neighbourhood, using Alan Hensel's notation.
# See http://www.ibiblio.org/lifepatterns/neighbors2.html
# Generate a rule table for an isotropic rule using Alan Hensel's
# isotropic, non-totalistic rule format for CA on the Moore neighbourhood

import golly as g
import os

# Generates the helper rules for apgsearch-isotropic, given a base isotropic 
# rule in Hensel's notation.
class RuleGenerator:

    # notationdict adapted from Eric Goldstein's HenselNotation->Ruletable(1.3).py
    # Modified for neighbourhood2 version of Hensel's notation
    notationdict = {
        "0"  : [0,0,0,0,0,0,0,0],   #    
        "1e" : [1,0,0,0,0,0,0,0],   #   N
        "1c" : [0,1,0,0,0,0,0,0],   #   NE
        "2a" : [1,1,0,0,0,0,0,0],   #   N,  NE
        "2e" : [1,0,1,0,0,0,0,0],   #   N,  E
        "2k" : [1,0,0,1,0,0,0,0],   #   N,  SE
        "2i" : [1,0,0,0,1,0,0,0],   #   N,  S
        "2c" : [0,1,0,1,0,0,0,0],   #   NE, SE
        "2n" : [0,1,0,0,0,1,0,0],   #   NE, SW
        "3a" : [1,1,1,0,0,0,0,0],   #   N,  NE, E
        "3n" : [1,1,0,1,0,0,0,0],   #   N,  NE, SE
        "3r" : [1,1,0,0,1,0,0,0],   #   N,  NE, S
        "3q" : [1,1,0,0,0,1,0,0],   #   N,  NE, SW
        "3j" : [1,1,0,0,0,0,1,0],   #   N,  NE, W
        "3i" : [1,1,0,0,0,0,0,1],   #   N,  NE, NW
        "3e" : [1,0,1,0,1,0,0,0],   #   N,  E,  S
        "3k" : [1,0,1,0,0,1,0,0],   #   N,  E,  SW
        "3y" : [1,0,0,1,0,1,0,0],   #   N,  SE, SW
        "3c" : [0,1,0,1,0,1,0,0],   #   NE, SE, SW
        "4a" : [1,1,1,1,0,0,0,0],   #   N,  NE, E,  SE
        "4r" : [1,1,1,0,1,0,0,0],   #   N,  NE, E,  S
        "4q" : [1,1,1,0,0,1,0,0],   #   N,  NE, E,  SW
        "4i" : [1,1,0,1,1,0,0,0],   #   N,  NE, SE, S
        "4y" : [1,1,0,1,0,1,0,0],   #   N,  NE, SE, SW
        "4k" : [1,1,0,1,0,0,1,0],   #   N,  NE, SE, W
        "4n" : [1,1,0,1,0,0,0,1],   #   N,  NE, SE, NW
        "4z" : [1,1,0,0,1,1,0,0],   #   N,  NE, S,  SW
        "4j" : [1,1,0,0,1,0,1,0],   #   N,  NE, S,  W
        "4t" : [1,1,0,0,1,0,0,1],   #   N,  NE, S,  NW
        "4w" : [1,1,0,0,0,1,1,0],   #   N,  NE, SW, W
        "4e" : [1,0,1,0,1,0,1,0],   #   N,  E,  S,  W
        "4c" : [0,1,0,1,0,1,0,1],   #   NE, SE, SW, NW
        "5i" : [1,1,1,1,1,0,0,0],   #   N,  NE, E,  SE, S
        "5j" : [1,1,1,1,0,1,0,0],   #   N,  NE, E,  SE, SW
        "5n" : [1,1,1,1,0,0,1,0],   #   N,  NE, E,  SE, W
        "5a" : [1,1,1,1,0,0,0,1],   #   N,  NE, E,  SE, NW
        "5q" : [1,1,1,0,1,1,0,0],   #   N,  NE, E,  S,  SW
        "5c" : [1,1,1,0,1,0,1,0],   #   N,  NE, E,  S,  W
        "5r" : [1,1,0,1,1,1,0,0],   #   N,  NE, SE, S,  SW
        "5y" : [1,1,0,1,1,0,1,0],   #   N,  NE, SE, S,  W
        "5k" : [1,1,0,1,0,1,1,0],   #   N,  NE, SE, SW, W
        "5e" : [1,1,0,1,0,1,0,1],   #   N,  NE, SE, SW, NW
        "6a" : [1,1,1,1,1,1,0,0],   #   N,  NE, E,  SE, S,  SW
        "6c" : [1,1,1,1,1,0,1,0],   #   N,  NE, E,  SE, S,  W
        "6k" : [1,1,1,1,0,1,1,0],   #   N,  NE, E,  SE, SW, W
        "6e" : [1,1,1,1,0,1,0,1],   #   N,  NE, E,  SE, SW, NW
        "6n" : [1,1,1,0,1,1,1,0],   #   N,  NE, E,  S,  SW, W
        "6i" : [1,1,0,1,1,1,0,1],   #   N,  NE, SE, S,  SW, NW
        "7c" : [1,1,1,1,1,1,1,0],   #   N,  NE, E,  SE, S,  SW, W
        "7e" : [1,1,1,1,1,1,0,1],   #   N,  NE, E,  SE, S,  SW, NW
        "8"  : [1,1,1,1,1,1,1,1],   #   N,  NE, E,  SE, S,  SW, W,  NW
        }
    
    allneighbours = [  
        ["0"],
        ["1e", "1c"],
        ["2a", "2e", "2k", "2i", "2c", "2n"],
        ["3a", "3n", "3r", "3q", "3j", "3i", "3e", "3k", "3y", "3c"],
        ["4a", "4r", "4q", "4i", "4y", "4k", "4n", "4z", "4j", "4t", "4w", "4e", "4c"],
        ["5i", "5j", "5n", "5a", "5q", "5c", "5r", "5y", "5k", "5e"],
        ["6a", "6c", "6k", "6e", "6n", "6i"],
        ["7c", "7e"],
        ["8"],
        ]
        
    allneighbours_flat = [n for x in allneighbours for n in x]
    
    numneighbours = len(notationdict)
    
    # Use dict to store rule elements, initialised by setrule():
    bee = {}
    ess = {}
    alphanumeric = ""
    rulename = ""
    
    # Save the isotropic rule
    def saveAllRules(self):    
        self.saveIsotropicRule()
    
    # Interpret birth or survival string
    def ruleparts(self, part):

        inverse = False
        nlist = []
        totalistic = True
        rule = { k: False for k, v in self.notationdict.iteritems() }
        
        # Reverse the rule string to simplify processing
        part = part[::-1]
        
        for c in part:
            if c.isdigit():
                d = int(c)
                if totalistic:
                    # Add all the neighbourhoods for this value
                    for neighbour in self.allneighbours[d]:
                        rule[neighbour] = True
                elif inverse:
                    # Add all the neighbourhoods not in nlist for this value
                    for neighbour in self.allneighbours[d]:
                        if neighbour[1] not in nlist:
                            rule[neighbour] = True
                else:
                    # Add all the neighbourhoods in nlist for this value
                    for n in nlist:
                        neighbour = c + n
                        if neighbour in rule:
                            rule[neighbour] = True
                        else:
                            # Error
                            return {}
                    
                inverse = False
                nlist = []
                totalistic = True

            elif (c == '-'):
                inverse = True

            else:
                totalistic = False
                nlist.append(c)
        
        return rule

    # Set isotropic, non-totalistic rule
    # Adapted from Eric Goldstein's HenselNotation->Ruletable(1.3).py
    def setrule(self, rulestring):
    
        # neighbours_flat = [n for x in neighbours for n in x]
        b = {}
        s = {}
        sep = ''
        birth = ''
        survive = ''
        
        rulestring = rulestring.lower()
        
        if '/' in rulestring:
            sep = '/'
        elif '_' in rulestring:
            sep = '_'
        elif (rulestring[0] == 'b'):
            sep = 's'
        else:
            sep = 'b'
        
        survive, birth = rulestring.split(sep)
        if (survive[0] == 'b'):
            survive, birth = birth, survive
        survive = survive.replace('s', '')
        birth = birth.replace('b', '')
        
        b = self.ruleparts(birth)
        s = self.ruleparts(survive)

        if b and s:
            self.alphanumeric = 'B' + birth + 'S' + survive
            self.rulename = 'B' + birth + '_S' + survive
            self.bee = b
            self.ess = s
        else:
            # Error
            g.note("Unable to process rule definition.\n" +
                    "b = " + str(b) + "\ns = " + str(s))
            g.exit()
            

    # Save a rule file:
    def saverule(self, name, comments, table, colours):
        
        ruledir = g.getdir("rules")
        filename = ruledir + name + ".rule"

        results = "@RULE " + name + "\n\n"
        results += "*** File autogenerated by saverule. ***\n\n"
        results += comments
        results += "\n\n@TABLE\n\n"
        results += table
        results += "\n\n@COLORS\n\n"
        results += colours
        results += "\n\n@ICONS\n\n"
        results += "circles\n"

        # Only create a rule file if it doesn't already exist; this avoids
        # concurrency issues when booting an instance of apgsearch whilst
        # one is already running.
        if not os.path.exists(filename):
            try:
                f = open(filename, 'w')
                f.write(results)
                f.close()
            except:
                g.warn("Unable to create rule table:\n" + filename)

    # Defines a variable:
    def newvar(self, name, vallist):

        line = "var "+name+"={"
        for i in xrange(len(vallist)):
            if (i > 0):
                line += ','
            line += str(vallist[i])
        line += "}\n"

        return line

    # Defines a block of equivalent variables:
    def newvars(self, namelist, vallist):

        block = "\n"

        for name in namelist:
            block += self.newvar(name, vallist)

        return block

    def scoline(self, chara, charb, left, right, amount):

        line = str(left) + ","

        for i in xrange(8):
            if (i < amount):
                line += chara
            else:
                line += charb
            line += chr(97 + i)
            line += ","

        line += str(right) + "\n"

        return line

    def isotropicline(self, chara, charb, left, right, n):

        line = str(left) + ","
        neighbours = self.notationdict[n]
        
        for i in xrange(8):
            if neighbours[i]:
                line += chara
            else:
                line += charb
            line += chr(97 + i)
            line += ","

        line += str(right) + "\n"

        return line
        
    def saveIsotropicRule(self):
    
        comments = """
This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details
"""

        table = """
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
"""

        table += self.newvars(["a","b","c","d","e","f","g","h"], [0, 1])

        table += "\n# Birth\n"
        for n in self.allneighbours_flat:
            if self.bee[n]:
                table += "0,"
                table += str(self.notationdict[n])[1:-1].replace(' ','')
                table += ",1\n"
        
        table += "\n# Survival\n"
        for n in self.allneighbours_flat:
            if self.ess[n]:
                table += "1,"
                table += str(self.notationdict[n])[1:-1].replace(' ','')
                table += ",1\n"

        table += "\n# Death\n"
        table += self.scoline("","",1,0,0)
        
        colours = ""
        self.saverule(self.rulename, comments, table, colours)

rulestring = g.getstring("Enter rule string in Alan Hensel's isotropic rule notation", 
                         "B2-a/S12")

rg = RuleGenerator()

rg.setrule(rulestring)
rg.saveIsotropicRule()
g.setrule(rg.rulename)

g.show("Created rule in file: " + rg.rulename + ".rule")
Enter in any rule to auto-generate a rule table
I'm on mobile so I can't
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » March 5th, 2016, 12:34 am

3-g synth of a rake:

Code: Select all

x = 16, y = 9, rule = B2aen_S1e2i
9bo$10bo$10bo$9bo2$o12bo$bo10bo$bo10bo2bo$o12bo!
Converting moon rake into (I'll just call it the spear):

Code: Select all

x = 16, y = 24, rule = B2aen_S1e2i
9b2o$8bo2bob2o$15bo8$bo$o$o$bo2$bo$bo$2bo5$11bo2bo$10bo4bo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » March 5th, 2016, 8:06 am

drc wrote:3-g synth of a rake:

Code: Select all

x = 16, y = 9, rule = B2aen_S1e2i
9bo$10bo$10bo$9bo2$o12bo$bo10bo$bo10bo2bo$o12bo!
Converting moon rake into (I'll just call it the spear):

Code: Select all

x = 16, y = 24, rule = B2aen_S1e2i
9b2o$8bo2bob2o$15bo8$bo$o$o$bo2$bo$bo$2bo5$11bo2bo$10bo4bo!
For some reason the code still isn't generating the rule properly.

Can you make the rule table thing look like the other ones?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » March 5th, 2016, 10:58 am

muzik wrote:For some reason the code still isn't generating the rule properly.

Can you make the rule table thing look like the other ones?

Code: Select all

@RULE B2aen_S1e2i

*** File autogenerated by saverule. ***


This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details


@TABLE


n_states:2
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}

# Birth
0,1,1,0,0,0,0,0,0,1
0,1,0,1,0,0,0,0,0,1
0,0,1,0,0,0,1,0,0,1

# Survival
1,1,0,0,0,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1

# Death
1,a,b,c,d,e,f,g,h,0


@COLORS



@ICONS

circles
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

muzik
Posts: 3502
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » March 5th, 2016, 11:03 am

drc wrote:
muzik wrote:For some reason the code still isn't generating the rule properly.

Can you make the rule table thing look like the other ones?
Thanks.

Here's a puffer:

Code: Select all

x = 13, y = 19, rule = B2aen_S1e2i
4$bo$obo$bobo$2bobo$3bobo$4bobo$7bo$7bo$6bo!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Post Reply