Miscellaneous Discoveries in Other Cellular Automata

[googoIpIex]

Commands so far:

Code: Select all

x = 92, y = 71, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3ackny4anqy5c6ek8
7$16b2o28b2o28b2o$16b2o28b2o28b2o7$15bo29bo29bo$14bobo27bobo27bobo8$
14b3o$14bobo58bo$44b3o27bobo$44bobo5$75bo$74bobo3$15bo$14bobo7$14b3o$
14bobo!

[2718281828]

Maybe an orthogonoid can be made in this rule (I just added S3k). It has a pull-fire operation with only one glider:

Code: Select all

x = 30, y = 7, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3ackny4anqy5c6ek8
b2o25b2o$b2o25b2o4$bo25bo$obo23bobo!

I suspect this.
Look at these basic collisions with a block:

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x = 143, y = 72, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3ackny4anqy5c6ek8
4$32bobo$32b3o5$11bobo8bobo7bobo19bobo$11b3o8b3o7b3o19b3o3$8b2o10b2o
10b2o19b2o$8b2o10b2o10b2o19b2o$39b2o$39b2o14$11b2o12b2o15b2o14b2o12b2o
17b2o13b2o15b2o$10b3o11b3o14b3o13b3o11b3o16b3o12b3o14b3o$128b2o$128b2o
$8b2o13b2o16b2o15b2o13b2o18b2o14b2o$8b2o13b2o16b2o15b2o13b2o18b2o14b2o
15b2o$126b2o20$12b2o13b2o13b2o12b2o15b2o14b2o12b2o27b2o$11b3o12b3o12b
3o11b3o14b3o13b3o11b3o26b3o$10b3o12b3o12b3o11b3o14b3o13b3o11b3o26b3o3$
8b2o14b2o14b2o13b2o16b2o15b2o13b2o28b2o$8b2o14b2o14b2o13b2o16b2o15b2o
13b2o28b2o!

The small diagonal glider+block can not be used for slow salvo synthesis. The larger one has a starting point, but we would need a fire command for this thing. In general the rule seems to emit too many spaceships compared to the block frequency.
Further, the fire command includes a -2 pull, a push would be better, as there is a tendency to push things in an orthogonoid. What really matters is the synthesis for the elbow.
I would rather stick, to the 'old rule' and improve it. e.g. by allowing other fire commands.
Here are just some plausible candidates (there are plenty more...):

Code: Select all

x = 64, y = 138, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
5$58b2o$58b2o12$58b2o$21b2o18b2o6bo5bo2b2o$22bo19bo7bo5bo$21b2o18b2o6b
o5bo19$58b2o$26bo10b2o16bo2b2o$27bo10bo17bo$26bo10b2o16bo16$58b2o$28b
2o19bo5bo2b2o$29bo20bo5bo$28b2o19bo5bo13$58b2o$13b2o12b2o9bo16bo2b2o$
14bo13bo10bo16bo$13b2o12b2o9bo16bo16$58b2o$15bo21bo11bo5bo2b2o$16bo21b
o11bo5bo$15bo21bo11bo5bo33$58b2o$28bo5b2o4bo14bo2b2o$29bo5bo5bo14bo$
28bo5b2o4bo14bo!

We also might allow for oscillators, like this one

Code: Select all

x = 2, y = 4, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
bo$o$bo$o!

in the slow salvo.

[2718281828]

A replicator based gun:

Code: Select all

x = 317, y = 69, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
36$306b2o$306b2o3$208b5o$208bo3bo$295b2o$28b2o265b2o$28b2o$208bo3bo$
208b5o3$17b2o$17b2o!

[AforAmpere]

Do you mind if this rule has its own thread? It seems worthy enough. Also:

Code: Select all

x = 8, y = 27, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
4b2o$4b2o2$2o$2o3$5b3o$5bobo17$6bo$5bobo!

[2718281828]

Do you mind if this rule has its own thread? It seems worthy enough. Also:

Code: Select all

x = 8, y = 27, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
4b2o$4b2o2$2o$2o3$5b3o$5bobo17$6bo$5bobo!

No, I will create a thread soon. A current (small) ship collection:

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x = 106, y = 53, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
7$66b4o$63b10o$63bo8bo$66bo2bo7$31b2o$30bobo22bo7b4o2b4o17bo6bo$29bo
24bobo6bob2o2b2obo18bo4bo2$64b8o15bo5b2o5bo$86bobo3bo2bo3bobo$86bo14bo
$87bob2ob4ob2obo$38bo49b2o8b2o$37bo$36bo$35b3o$34bob2o$33bo3bo$22b2o8b
3o$21bobo7bob3o$30bo5$12b3o$10b4o$10bo2bo$9b2ob2o22b2o3b2o$9b4o22bobo
3b2o$9bo25b2obo2bo$37bo3$35b3o$35b2o!

[bprentice]

A nice gun:

Code: Select all

#Rule = Counts
#States = 8
#NW 1,1,0,1,1
#NW 1,0,0,0,1
#NW 0,1,1,1,0
#RT 2,0,0,0,0,0,0,0,3,4,0,0,0
#RT 7,0,0,1,1,0,0,1,0,0,0,0,4
#RT 5,0,0,2,0,0,0,0,0,1,0,0,0
#RT 0,3,0,0,0,0,0,0,0,4,2,0,0
#RT 0,0,0,0,7,6,1,0,0,0,0,0,0
#RT 0,0,0,0,0,0,0,0,0,0,7,0,0
#RT 0,0,0,0,0,0,0,0,0,0,0,0,0
#Rows = 20
#Columns = 43
#Orientation = Down
#L 13.G7.G7.G7.G$13.G7.G7.G7.G$10.2G2$8.2G3$41.2G2$39.2G$2.2G2$2G3$33.
#L 2G2$31.2G$5.G7.G7.G7.G$5.G7.G7.G7.G

Run it on Triangular Cell here:

http://bprentice.webenet.net/Triangular%20Cell/

Brian Prentice

[AforAmpere]

An odd second 28 cell pull:

Code: Select all

x = 4, y = 106, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o$2b2o4$3o$obo13$3o$obo9$3o$obo5$bo$obo38$3o$obo13$3o$obo9$3o$obo5$
bo$obo!

Found with a search program I wrote that I'll post whenever the new thread is up.

EDIT, a pull 1 flip plus a +4 improves the +3 plus flip by one generation:

Code: Select all

x = 40, y = 101, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o34b2o$2b2o34b2o5$3o33b3o$obo33bobo5$3o$obo2$36b3o$36bobo3$bo$obo4$
36b3o$36bobo5$36b3o$36bobo2$bo$obo7$3o$obo$36b3o$36bobo3$3o$obo$36b3o$
36bobo3$3o$obo$36b3o$36bobo10$36b3o$3o33bobo$obo5$bo$obo33b3o$36bobo5$
bo$obo7$bo$obo2$36b3o$36bobo8$3o34bo!

EDIT 2, this +4 and flip plus a -1 is 28 gens better:

Code: Select all

x = 36, y = 101, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
3b2o28b2o$3b2o28b2o4$b3o$bobo27b3o$31bobo8$31b3o$31bobo2$2bo$bobo5$31b
3o$31bobo5$31b3o$31bobo4$2bo$bobo7$31b3o$31bobo$b3o$bobo3$31b3o$31bobo
$2bo$bobo3$31b3o$31bobo5$b3o$bobo4$31b3o$b3o27bobo$bobo6$31b3o$31bobo$
2bo$bobo9$2bo5$31b3o$31bobo8$32bo!

EDIT 3, 98 gens better with a direct +3 flip:

Code: Select all

x = 62, y = 101, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
3b2o24b2o28b2o$3b2o24b2o28b2o4$b3o23b3o$bobo23bobo27b3o$57bobo4$b3o$bo
bo3$57b3o$57bobo2$28bo$27bobo5$b3o53b3o$bobo53bobo5$b3o53b3o$bobo53bob
o4$28bo$27bobo7$57b3o$57bobo$2bo24b3o$bobo23bobo3$57b3o$57bobo$2bo25bo
$27bobo3$57b3o$57bobo5$27b3o$27bobo4$57b3o$27b3o27bobo$27bobo6$57b3o$
57bobo$28bo$27bobo9$28bo5$57b3o$57bobo8$58bo!

I was excited when I found this +3, but it actually has a higher repeat time:

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x = 59, y = 71, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o53b2o$2b2o53b2o4$3o52b3o$obo52bobo8$3o$obo$55b3o$55bobo6$3o$obo5$
3o$obo3$55b3o$55bobo8$3o$obo5$3o$obo5$3o16$55b3o!

I think this +7 is new:

Code: Select all

x = 4, y = 63, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o$2b2o4$3o$obo10$3o$obo11$bo$obo10$3o$obo16$3o$obo5$3o!

[bprentice]

Kicking off triangular rules:
...
Oddly, triangular rules with B1 can support ships
...
There are others too but I’m experiencing minor difficulties finding their RLEs.

Try using Triangular Cell here:

http://bprentice.webenet.net/Triangular%20Cell/

Four ships:

Code: Select all

#Rule = Rule Table
#States = 2
#Counts = 9
#SW 0,1
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,1,0,0,0,0,0,0,0
#RT 0,1,0,0,0,0,0,0,0
#Rows = 2
#Columns = 2
#Orientation = Up
#L .A$A

Code: Select all

#Rule = Rule Table
#States = 2
#Counts = 9
#SW 0,1
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,1,0,0,0,0,0,0,0
#RT 0,1,0,0,0,0,0,0,0
#Rows = 3
#Columns = 9
#Orientation = Up
#L A6.A$4.5A$5.A

Code: Select all

#Rule = Rule Table
#States = 2
#Counts = 9
#SW 0,1
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,1,0,0,0,0,0,0,0
#RT 0,1,0,0,0,0,0,0,0
#Rows = 22
#Columns = 40
#Orientation = Up
#L 4.5A.5A.5A.5A.5A.5A$3.A35.A$3.A35.A$.2A$A$2A$.2A$3.A$3.2A$4.2A$6.A$
#L 6.2A$7.2A$9.A$9.2A$10.2A$12.A$12.2A$13.2A$15.A$15.2A$16.2A.2A

Code: Select all

#Rule = Rule Table
#States = 2
#Counts = 9
#SW 0,1
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,1,0,0,0,0,0,0,0
#RT 0,1,0,0,0,0,0,0,0
#Rows = 15
#Columns = 24
#Orientation = Up
#L 5.A5.A5.A5.A$5.A5.A5.A5.A$5.A5.A5.A5.A2$2.2A$A2$5.2A$3.A2$8.2A$6.A2$
#L 11.2A$9.A

Triangular Cell supports several rule families including:

Rule Table
Counts
Counts 2
BSFKL
George Maydwell

Brian Prentice

[AforAmpere]

12 gen +20 improvement:

Code: Select all

x = 46, y = 82, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
$2b2o40b2o$2b2o40b2o4$3o$obo39b3o$42bobo13$3o$obo39b3o$42bobo11$bo41bo
$obo39bobo7$43bo$42bobo6$42b3o$42bobo3$3o$obo5$42b3o$42bobo7$3o$obo7$
3o6$42b3o!

[bprentice]

Another nice gun:

Code: Select all

#Rule = Counts
#States = 4
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,3,0,2,0,0,0,0,0,0,0,0,0
#RT 0,0,0,0,0,0,0,0,0,0,0,3,0
#RT 0,3,0,0,0,0,2,0,0,0,0,0,0
#Rows = 23
#Columns = 150
#Orientation = Down
#L 123.3C5.3C$16.3C5.3C95.2BCB5.BC2B$15.2BCB5.BC2B89.2C5BCB5.BC2B$15.2B
#L CB5.BC5B2C84.CB2CB4C5.3C$16.3C5.4CB2CBC87.B2C18.3B2C$4.2C3B18.2CB110.
#L CB2CBC$4.CB2CBC103.2CB24.2CB$7.B2C24.B2C76.CB2CBC$31.CB2CBC77.3B2C28.
#L B2C$2CB28.2C3B42.3C5.3C55.CB2CBC$CB2CBC55.3C5.3C5.2BCB5.BC2B54.2C3B
#L $.3B2C54.2BCB5.BC2B4.2BCB5.BC2B54.2C3B$.3B2C54.2BCB5.BC2B5.3C5.3C55.
#L CB2CBC$CB2CBC55.3C5.3C42.3B2C28.B2C$2CB28.2C3B77.CB2CBC$31.CB2CBC76.
#L 2CB24.2CB$7.B2C24.B2C103.CB2CBC$4.CB2CBC110.B2C18.3B2C$4.2C3B18.2CB
#L 87.CB2CB4C5.3C$16.3C5.4CB2CBC84.2C5BCB5.BC2B$15.2BCB5.BC5B2C89.2BCB
#L 5.BC2B$15.2BCB5.BC2B95.3C5.3C$16.3C5.3C

Run on Triangular Cell here:

http://bprentice.webenet.net/Triangular%20Cell/

Brian Prentice

[googoIpIex]

would it be a good idea to find more fire operations?

[AforAmpere]

I'm trying to find more right now, with a script.
New +7:

Code: Select all

x = 4, y = 52, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o$2b2o4$3o$obo10$3o$obo11$bo$obo10$3o$obo10$bo$obo!

Even shorter +3 plus flip:

Code: Select all

x = 4, y = 47, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o$2b2o4$3o$obo5$3o$obo12$3o$obo5$3o$obo9$bo$obo5$bo!

EDIT, another +20 improvement:

Code: Select all

x = 4, y = 71, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o$2b2o4$3o$obo14$3o$obo16$bo$obo14$3o$obo11$3o$obo5$3o!

EDIT 2, And another:

Code: Select all

x = 4, y = 67, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o$2b2o4$3o$obo14$3o$obo12$bo$obo18$3o$obo7$bo$obo5$bo!

Better -3:

Code: Select all

x = 43, y = 46, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o37b2o$2b2o37b2o4$3o36b3o$obo36bobo5$3o36b3o$obo36bobo6$bo$obo36b3o
$39bobo5$bo$obo4$39b3o$39bobo3$bo$obo4$39b3o$bo37bobo5$39b3o!

And replacing the +20 -7 with a +18 -5 saves 4 gens:

Code: Select all

x = 32, y = 104, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o26b2o$2b2o26b2o4$3o25b3o$obo25bobo6$bo$obo7$28b3o$3o25bobo$obo8$3o
$obo2$29bo$28bobo13$bo$obo4$28b3o$28bobo2$3o$obo4$29bo$28bobo5$3o26bo$
obo25bobo6$29bo$bo26bobo$obo4$29bo$28bobo3$3o$obo6$29bo$28bobo6$29bo$
28bobo3$bo2$29bo!

[praosylen]

4c/7 (diagonal?) replicator and high-period puffer in triangular Life, based on a common failed replicator:

Code: Select all

x = 25, y = 7, rule = B3/S23L
$5o15b5o$11b3o3$11b3o$5o15b5o!

Code: Select all

x = 63, y = 7, rule = B3/S23L
$5o15b5o13b5o15b5o$11b3o35b3o3$11b3o35b3o$5o15b5o13b5o15b5o!

This rule has fairly Life-like dynamics overall, but so far I've only found 5 natural objects:

Code: Select all

x = 37, y = 4, rule = B3/S23L
26bobo6bo$obo15bobo4bo3bo3bo2bo$obo6b4o4bo3bo4bobo5bo$19bo!

Plenty of larger still lives exist, although I haven't seen any naturally yet. I don't know about oscillators and spaceships, and unfortunately there are no search programs for triangular rules that I know of.

[2718281828]

I'm trying to find more right now, with a script.

I am using a modification of my sscol script for searching for operations (an slow salvo recipes). I have all collisions which might give operations on the block that involve up to 7G (and some 8G). The problem is more about the filtering.

[AforAmpere]

I just am throwing of an inputted length with random spacing between stuff. Do you already have the stuff in my edits above?

EDIT, replace the +8 +4 in the synth with +18 -6 to save 63 more gens:

Code: Select all

x = 59, y = 117, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2$3b2o38b2o$3b2o38b2o5$5bo39bo$4bobo37bobo5$45bo$44bobo$4b3o$4bobo7$5b
o$4bobo4$45bo$44bobo3$5bo$4bobo4$45bo$44bobo12$4b3o$4bobo38bo$44bobo5$
5bo$4bobo7$45bo$44bobo5$45bo$44bobo4$4b3o$4bobo2$44b3o$44bobo2$4b3o11$
44b3o$44bobo6$45bo$44bobo5$45bo$44bobo5$45bo!

New best tape:

Code: Select all

x = 3, y = 2553, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
bo$obo8$3o$obo7$3o$obo9$3o$obo11$3o$obo9$3o$obo16$bo$obo11$3o$obo5$3o$
obo5$3o$obo13$bo$obo7$3o$obo11$3o$obo8$3o$obo8$3o$obo5$3o$obo12$3o$obo
5$3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo5$3o$obo6$bo$obo13$bo$obo7$
3o$obo5$3o$obo5$3o$obo12$bo$obo12$3o$obo5$bo$obo17$3o$obo10$bo$obo5$bo
$obo5$bo$obo5$bo$obo7$3o$obo8$3o$obo9$3o$obo7$bo$obo8$bo$obo17$3o$obo
10$bo$obo5$bo$obo7$3o$obo7$bo$obo8$bo$obo17$3o$obo6$bo$obo10$bo$obo8$
3o$obo7$bo$obo18$3o$obo16$bo$obo11$3o$obo5$3o$obo8$3o$obo8$3o$obo5$3o$
obo12$3o$obo5$3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo5$3o$obo6$bo$obo
13$bo$obo7$3o$obo5$3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo5$3o$obo14$
3o$obo8$3o$obo13$3o$obo13$3o$obo12$bo$obo12$3o$obo5$bo$obo17$3o$obo10$
bo$obo5$bo$obo8$bo$obo8$bo$obo5$bo$obo12$bo$obo5$bo$obo5$bo$obo17$3o$o
bo10$bo$obo5$bo$obo8$bo$obo8$bo$obo5$bo$obo12$bo$obo5$bo$obo5$bo$obo
17$3o$obo10$bo$obo5$bo$obo8$bo$obo8$bo$obo5$bo$obo12$bo$obo5$bo$obo5$b
o$obo17$3o$obo10$bo$obo5$bo$obo5$bo$obo7$3o$obo13$3o$obo6$bo$obo5$bo$o
bo5$bo$obo17$3o$obo10$bo$obo5$bo$obo10$bo$obo8$3o$obo7$bo$obo18$3o$obo
16$bo$obo11$3o$obo5$3o$obo8$3o$obo8$3o$obo5$3o$obo12$3o$obo5$3o$obo5$
3o$obo16$bo$obo11$3o$obo5$3o$obo5$3o$obo6$bo$obo13$bo$obo7$3o$obo5$3o$
obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo5$3o$obo6$bo$obo9$3o$obo14$3o$obo
9$3o$obo16$bo$obo11$3o$obo5$3o$obo8$3o$obo9$3o$obo6$3o$obo5$bo$obo11$
3o$obo16$bo$obo11$3o$obo5$3o$obo6$3o$obo5$3o$obo10$3o$obo6$3o$obo5$3o$
obo16$bo$obo11$3o$obo5$3o$obo6$bo$obo8$3o$obo8$3o$obo16$bo$obo7$3o$obo
17$bo$obo5$bo$obo17$3o$obo10$bo$obo5$bo$obo5$bo$obo7$3o$obo6$3o$obo8$
3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo19$3o$obo10$bo$obo8$3o$obo9$3o
$obo5$3o$obo6$3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo5$3o$obo6$bo$obo
6$bo$obo8$bo$obo5$bo$obo17$3o$obo10$bo$obo5$bo$obo5$bo$obo5$bo$obo7$3o
$obo8$3o$obo9$3o$obo7$bo$obo8$bo$obo7$3o$obo8$3o$obo8$bo$obo9$bo$obo
10$3o$obo32$bo$obo5$bo$obo14$bo$obo8$bo$obo13$bo$obo13$bo$obo5$bo$obo
12$bo$obo5$bo$obo10$3o$obo5$bo$obo17$3o$obo10$bo$obo5$bo$obo14$bo$obo
13$3o$obo17$bo$obo8$3o$obo5$3o$obo5$3o$obo6$bo$obo13$bo$obo7$3o$obo5$
3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo14$3o$obo12$bo$obo18$3o$obo7$b
o$obo5$bo$obo18$3o$obo5$3o$obo16$bo$obo11$3o$obo5$3o$obo8$bo$obo!

EDIT, 48c/4510:

Code: Select all

x = 159, y = 1217, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
86b2o$86b2o7$81b3o7bo2b2o$80bo3b4ob3o2b2o$80bo4bo2bob2o$81bobo4b3o$82b
3o5b2o2b2o$83b4o4bo2b2o$85bo3b3o3bo$84b3o3b2o$91bobobo$90bo2b2o$90b3o
7$133b2o$133b2o$84bo$83bobo5$84bo$83bobo59b2o$145b2o4$2o46b2o46b2o$2o
46b2o46b2o$12b2o22b2o12b3o7b2o8bo5bo7b2o22b2o22b2o$12b2o22b2o13bo8b2o
9bo5bo6b2o22b2o22b2o$51b2o17bo5bo$108bo$59b3o45bobo$59bobo2$83bobo$83b
3o2$60bo$59bobo$107b3o$83bobo21bobo$83b3o6$107b3o$107bobo6$83bobo$59b
3o21b3o$59bobo$107b3o$107bobo8$60bo$59bobo$83bobo$83b3o21b3o$107bobo2$
60bo$59bobo4$83bobo$83b3o$107b3o$107bobo7$60bo$59bobo4$83bobo$83b3o3$
108bo$107bobo$83bobo$83b3o2$59b3o$59bobo6$107b3o$107bobo5$107b3o$107bo
bo4$60bo$59bobo45b3o$107bobo7$59b3o$59bobo3$83bobo$84bo$59b3o46bo$59bo
bo45bobo5$59b3o$59bobo$83bobo21b3o$83b3o21bobo4$60bo$59bobo4$83bobo$
83b3o$107b3o$107bobo6$60bo$59bobo21bobo$84bo22b3o$107bobo5$59b3o$59bob
o$83bobo$84bo22b3o$107bobo2$59b3o$59bobo2$83bobo21b3o$83b3o21bobo2$59b
3o$59bobo5$83bobo$83b3o3$107b3o$107bobo4$83bobo$84bo22b3o$60bo46bobo$
59bobo4$107b3o$107bobo2$83bobo$84bo3$59b3o$59bobo4$83bobo$59b3o22bo$
59bobo3$108bo$107bobo$83bobo$83b3o5$83bobo$83b3o2$59b3o$59bobo45b3o$
107bobo$83bobo$83b3o3$107b3o$107bobo$83bobo$83b3o3$60bo46b3o$59bobo45b
obo6$108bo$83bobo21bobo$84bo10$59b3o$59bobo$108bo$107bobo3$83bobo$83b
3o$60bo$59bobo$107b3o$107bobo$83bobo$83b3o$60bo$59bobo$107b3o$107bobo
4$83bobo$83b3o21b3o$107bobo5$83bobo$83b3o4$59b3o$59bobo$108bo$83bobo
21bobo$84bo2$59b3o$59bobo2$83bobo$84bo5$83bobo21b3o$84bo22bobo5$108bo$
107bobo$60bo$59bobo2$83bobo$83b3o8$59b3o$59bobo3$107b3o$107bobo$59b3o$
59bobo2$83bobo$84bo5$60bo22bobo22bo$59bobo22bo22bobo6$83bobo$84bo5$83b
obo$84bo9$83bobo$84bo2$108bo$107bobo4$83bobo$83b3o22bo$107bobo5$108bo$
107bobo4$83bobo$84bo2$107b3o$107bobo8$107b3o$107bobo7$83bobo$84bo$107b
3o$107bobo3$83bobo$84bo3$108bo$107bobo6$83bobo$83b3o$108bo$107bobo15$
83bobo$84bo$107b3o$107bobo3$83bobo$84bo6$108bo$107bobo$83bobo$84bo3$
108bo$107bobo2$83bobo$84bo4$107b3o$107bobo$83bobo$83b3o5$83bobo22bo$
83b3o21bobo5$83bobo$83b3o2$108bo$107bobo8$83bobo$84bo8$107b3o$107bobo
6$108bo$83bobo21bobo$83b3o5$83bobo$83b3o3$108bo$107bobo8$107b3o$107bob
o5$83bobo$84bo$108bo$107bobo4$83bobo$83b3o13$107b3o$107bobo3$83bobo$
84bo8$83bobo$84bo3$108bo$107bobo3$83bobo$83b3o7$83bobo21b3o$84bo22bobo
5$83bobo21b3o$84bo22bobo8$107b3o$107bobo$83bobo$83b3o6$107b3o$107bobo
5$107b3o$107bobo4$83bobo$84bo5$83bobo$84bo$107b3o$107bobo4$83bobo$84bo
22b3o$107bobo5$107b3o$107bobo3$83bobo$84bo5$83bobo$84bo6$83bobo22bo$
84bo22bobo5$83bobo$84bo5$107b3o$107bobo4$83bobo$83b3o21b3o$107bobo5$
107b3o$107bobo6$108bo$107bobo3$83bobo$84bo9$108bo$83bobo21bobo$83b3o6$
83bobo21b3o$84bo22bobo5$107b3o$83bobo21bobo$84bo4$107b3o$107bobo4$83bo
bo$84bo8$83bobo$84bo2$108bo$107bobo2$83bobo$84bo8$107b3o$107bobo$83bob
o$83b3o3$107b3o$107bobo5$107b3o$107bobo7$83bobo$84bo6$107b3o$107bobo2$
83bobo$84bo5$107b3o$107bobo8$83bobo$84bo4$107b3o$107bobo3$83bobo$83b3o
7$83bobo$84bo$107b3o$107bobo3$83bobo$84bo5$83bobo$84bo2$108bo$107bobo
7$83bobo$83b3o4$107b3o$107bobo5$108bo$107bobo6$83bobo$84bo5$83bobo$84b
o4$107b3o$83bobo21bobo$84bo6$83bobo$83b3o2$108bo$107bobo5$108bo$107bob
o4$83bobo$83b3o3$108bo$107bobo3$83bobo$84bo4$108bo$83bobo21bobo$84bo4$
108bo$83bobo21bobo$84bo10$83bobo$83b3o22bo$107bobo5$108bo$107bobo5$
108bo$107bobo4$83bobo$84bo5$83bobo$84bo5$83bobo$84bo22b3o$107bobo10$
108bo$83bobo21bobo$84bo4$108bo$83bobo21bobo$84bo7$108bo$83bobo21bobo$
84bo7$108bo$83bobo21bobo$84bo4$108bo$83bobo21bobo$84bo10$83bobo$83b3o
22bo$107bobo5$108bo$107bobo5$108bo$107bobo4$83bobo$84bo12$107b3o$107bo
bo4$83bobo$83b3o5$108bo$107bobo2$83bobo$84bo2$108bo$107bobo4$83bobo$
83b3o3$108bo$107bobo6$83bobo$83b3o$108bo$107bobo3$83bobo$83b3o$108bo$
107bobo9$83bobo$84bo2$108bo$107bobo5$108bo$107bobo5$108bo$107bobo$83bo
bo$83b3o5$83bobo$83b3o5$83bobo$83b3o3$107b3o$107bobo3$83bobo$84bo6$
108bo$107bobo2$79b2o9bo6b2o4b2o$36b2o22b2o17bo4b2o5bo6bo5bo3b2o22b2o$
36b2o22b2o17b2o3b2o4bo6b2o4b2o3b2o22b2o14b2o$24b2o46b2o46b2o26b2o$24b
2o46b2o46b2o$107bobo$107b3o8$157b2o$157b2o2$107bobo$108bo16$107bobo$
107b3o5$107bobo$107b3o5$107bobo$107b3o$126b2o$126bobo10$107bobo$106b4o
$117b2o$98bo5bo12b2o$98b2o5bob3o$98b2o4b3obobo$98b4o6b3o$99b2o6b2obo$
101b5o!

[googoIpIex]

Can someone give me a list of fire commands?

[AforAmpere]

These are the operators I used:

Code: Select all

-2     
f      
+2     
+3     
f      
+4     
+1     
f      
+5     
f      
+18
-5 
f      
+3     
f      
+4     
f      
+8     
+1     
f      
+3     
f      
+3     
f      
+3     
f      
+4     
f      
-5     
f      
+3     
f      
+4     
f      
-4     
f      
-8     
f      
-7     
f      
+18
-6   
f          
-3     
f      
-28    
f      
-3     
f      
+5     
f-     
+8     
+3t     
f      
+20    
+4     
f      
+20
-6     
f      
d

f is the general fire, f- is firing the large ship, +3t is the +3 and flip, and d is the destruction of the block at the end.

EDIT, improved -5 by 4 gens:

Code: Select all

x = 26, y = 53, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
2b2o20b2o$2b2o20b2o4$3o$obo19b3o$22bobo4$3o$obo5$3o19b3o$obo19bobo7$3o
20bo$obo19bobo8$22b3o$22bobo2$3o$obo12$bo2$23bo!

[googoIpIex]

would it help to find combo operators eg.(fire+2) to improve the tape?

[bprentice]

A 4 state triangular grid rule:

Rule.png (98.58 KiB) Viewed 9377 times

that supports oscillators with all periods greater than 2.

An archive, Oscillators.zip, containing the first 20 oscillators is here:

http://bprentice.webenet.net/Triangular%20Cell/

Brian Prentice

[2718281828]

Can someone give me a list of fire commands?

A starting point:

e.g. by allowing other fire commands.
Here are just some plausible candidates (there are plenty more...):

Code: Select all

x = 64, y = 138, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
5$58b2o$58b2o12$58b2o$21b2o18b2o6bo5bo2b2o$22bo19bo7bo5bo$21b2o18b2o6b
o5bo19$58b2o$26bo10b2o16bo2b2o$27bo10bo17bo$26bo10b2o16bo16$58b2o$28b
2o19bo5bo2b2o$29bo20bo5bo$28b2o19bo5bo13$58b2o$13b2o12b2o9bo16bo2b2o$
14bo13bo10bo16bo$13b2o12b2o9bo16bo16$58b2o$15bo21bo11bo5bo2b2o$16bo21b
o11bo5bo$15bo21bo11bo5bo33$58b2o$28bo5b2o4bo14bo2b2o$29bo5bo5bo14bo$
28bo5b2o4bo14bo!

The 'problem' is that we have to consider two degrees of freedom, the block shift and the lane for the fired ship (relative to a standard command). This makes the optimization a bit more complex.

[Hdjensofjfnen]

The trippiest c/3 I've ever seen:

Code: Select all

x = 4, y = 5, rule = B3/S1c2-a3-j
2b2o$bobo$o2bo$bobo$2b2o!

EDIT: Neat!

Code: Select all

x = 8, y = 15, rule = B3/S1c2-a3-j
2b2o$bobo3bo$o2bo2bo$bobo3bo$2b2o6$2b2o$bobo$o2bo$bobo$2b2o!

[Moosey]

Two duoplets devour snakelike ship; foul play suspected.

Code: Select all

x = 42, y = 9, rule = B2i3-q/S1c2-a3-j4jkt
bo$o$9bo3bo3bo3bo3bo3bo3bo3bobo$8bo3bo3bo3bo3bo3bo3bo3bo$8bo3bo3bo3bo
3bo3bo3bo3bo3b2o$8bo3bo3bo3bo3bo3bo3bo3bo$9bo3bo3bo3bo3bo3bo3bo3bobo$o
$bo!

[bprentice]

A gun in 4 state triangular grid rule:

Rule.png (80.24 KiB) Viewed 9281 times

Code: Select all

#Rule = Rule Table
#States = 4
#Counts = 9
#SW 0,1,1,-2
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,3,1,1,0,3,0,0,0
#RT 0,0,0,0,1,0,3,0,0
#RT 0,0,0,0,0,0,0,0,0
#RT 1,0,0,0,0,0,0,0,0
#Rows = 34
#Columns = 67
#Orientation = Down
#L 20.C$14.A2.A4.A2.A.A3.A2.A$14.A2.A4.A2.A.A3.A2.A$20.C5$55.2A$58.A$56.
#L A$60.A$58.A2.A$59.A$61.2A2.C$2A$3.A56.C4.A$.A4.C56.A$65.2A$.C2.2A$7.
#L A$5.A2.A$6.A$10.A$8.A$10.2A5$46.C$32.A2.A3.A.A2.A4.A2.A$32.A2.A3.A.
#L A2.A4.A2.A$46.C

More patterns in this rule are included in archive "Triangular Cell.zip" here:

http://bprentice.webenet.net/Triangular%20Cell/

in directory .../Triangular Cell/Patterns/Rule Table/Rule 106

Brian Prentice

[bprentice]

Two guns in 4 state triangular grid rule:

Rule.png (80.17 KiB) Viewed 9253 times

Code: Select all

#Rule = Rule Table
#States = 4
#Counts = 9
#SW 0,1,1,-2
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,3,1,1,0,0,0,0,0
#RT 3,0,0,0,0,0,0,0,0
#RT 0,3,0,0,0,0,0,2,0
#RT 0,0,0,0,0,0,0,0,0
#Rows = 39
#Columns = 61
#Orientation = Up
#L 16.3C9.3C$15.5C7.2A.2A$15.5C7.2A.2A$28.3C6.3A2C$36.CA2.AC$36.2C3A$22.
#L 3A2C$21.CA2.AC$21.2C3A6.3C$31.2A.2A7.5C$31.2A.2A7.5C$32.3C9.3C4$49.
#L 2AC$49.C$51.2A$54.C$52.C2A2$55.2AC$55.C$57.2A$60.C$58.C2A$16.3C9.3C
#L $15.2A.2A7.5C7.AC2.A2.CA3.AC2.A2.CA$15.2A.2A7.5C7.AC2.A2.CA3.AC2.A2.
#L CA$16.3C$6.2C3A$6.CA2.AC$7.3A2C8.2C3A$20.CA2.AC$21.3A2C$13.3C$5C7.2A
#L .2A$5C7.2A.2A$.3C9.3C

Code: Select all

#Rule = Rule Table
#States = 4
#Counts = 9
#SW 0,1,1,-2
#NW 1,1,1,1,1
#NW 1,1,0,1,1
#NW 0,1,1,1,0
#RT 0,3,1,1,0,0,0,0,0
#RT 3,0,0,0,0,0,0,0,0
#RT 0,3,0,0,0,0,0,2,0
#RT 0,0,0,0,0,0,0,0,0
#Rows = 18
#Columns = 31
#Orientation = Up
#L 10.AC2.A2.CA$10.AC2.A2.CA6.2AC$25.C$27.2A$30.C$28.C2A7$2AC$C$2.2A$5.
#L C$3.C2A6.AC2.A2.CA$12.AC2.A2.CA

More patterns in this rule are included in directory .../Triangular Cell/Patterns/Rule Table/Rule 107.

Brian Prentice

[Gamedziner]

Two duoplets devour snakelike ship; foul play suspected.

Code: Select all

x = 42, y = 9, rule = B2i3-q/S1c2-a3-j4jkt
bo$o$9bo3bo3bo3bo3bo3bo3bo3bobo$8bo3bo3bo3bo3bo3bo3bo3bo$8bo3bo3bo3bo
3bo3bo3bo3bo3b2o$8bo3bo3bo3bo3bo3bo3bo3bo$9bo3bo3bo3bo3bo3bo3bo3bobo$o
$bo!

Same rule, four p6 oscillators, a p8, two p4s, a p11, and a p14:

Code: Select all

x = 75, y = 9, rule = B2i3-q/S1c2-a3-j4jkt
45bo$19bo5bo7b2o8b2ob2o6bo$b2obo4b2ob2o4bo5bo7bo2bo6bo2bo2bo6bo5b3o6b
o3bo$o4bo2bo5bo2bobo6bo4bo4bo5bo2bo2bo4bo2bo4bo7bo3b2o$18bo2bo3bo15bo
b2ob2obo4bobo5bo2bo4bo3bo$19b2o21bo2bo2bo17bo$42bo2bo2bo$43b2ob2o$45b
o!