## Glider Syntheses in Other Rules

For discussion of other cellular automata.

### Glider Syntheses in Other Rules

In several rules, there are small spaceships, which could reasonably be called "gliders". This thread is for glider syntheses in other rules. To start, three spaceship syntheses in B36/S245:
`x = 126, y = 46, rule = B36/S24598b3o\$98b2o\$98bo16\$50b2o10b2o\$49bo14bo\$48bobo12bobo\$48bo2bo10bo2bo2\$122bo2bo\$123bobo\$124bo\$6bo2bo112b2o\$6bobo40b2o12b2o\$7bo40b4o10b4o\$8b2o40b2o10b2o\$23bo26bo12bo\$22bobo\$21bo90b2o\$22bo29bo6bo2bo51bo\$51bobo6bobo36bo2bo10bobo5bo2bo\$54bo6bo37bobo10bo2bo6bobo\$53bo5b2o39bo22bo\$101b2o18b2o\$10b2o\$9b4o\$9b2o\$10bo34bo2bo16bo2bo\$4o41bobo18bobo39bo2bo\$2obo42bo20bo40bobo\$2b2o43b2o16b2o42bo\$2b2o106b2o!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1786
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Glider Syntheses in Other Rules

B35/S3478 seems to be promising for glider syntheses; here are some of mine.

My (incomplete) table of two-glider syntheses that do not simply disappear:
`x = 95, y = 15, rule = B35/S3478obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2\$o17bobo21bobo23bobo23bo\$76bo\$o2b2obo11bobo21bobo23bobo3b2obo16bo\$5bobo29bo10b2obo23b3o\$o3b3o11bobo14b3o4bobo5bobo10bo4bobo4b3o16bo\$5bo8bo9b2obo7b2obo10b3o9b3o24bo\$o11bobo3bobo5bobo6b3o4bobo5bo10b2obo3bobo15bobo5bo\$11b3o11b3o33b3o21b3o\$o11bobo3bobo5bo15bobo23bobo15bobo5bo\$13bo73bo\$o17bobo21bobo23bobo23bo2\$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo!`

A 3-glider synthesis of probably the most common p4 around:
`x = 24, y = 9, rule = B35/S34782obo\$2bobo\$b3o\$2bo2\$4b2obo14bo\$6bobo11b3o\$5b3o12b2obo\$6bo13b3o!`

A 4-glider synthesis of the following flipper:
`x = 26, y = 23, rule = B35/S34782obo\$2bobo\$b3o\$2bo2\$4b2obo14bo\$6bobo11b3o\$5b3o12b2obo\$6bo13b3o11\$23bo\$22b3o\$21bobo\$22bob2o!`

`OOOO..O..`

A synthesis of a c/4 orthogonal spaceship from three gliders:
`x = 31, y = 10, rule = B35/S3478bo28bo\$b3o24bobo\$ob2o23b3o\$b3o24bobo\$29bo2\$2bo\$2b3o\$bob2o\$2b3o!`

14-glider synthesis of a p6:
`x = 35, y = 35, rule = B35/S347834bo\$32bobo\$31b3o\$15b4o13bobo\$16b2o15bo\$15b4o\$16b2o9\$3bobo23bobo\$3b4o21b4o\$3b4o21b4o\$3bobo23bobo10\$16b2o\$15b4o\$16b2o\$2bo12b4o\$b3o\$2bobo\$2obo!`

8-glider synthesis of the 6-cell phoenix:
`x = 100, y = 64, rule = B35/S347899bo\$97bobo\$96b3o\$97bobo\$98bo40\$37bo38bo\$37b3o34bobo\$36bob2o33b3o\$37b3o34bobo\$75bo2\$38bo\$38b3o\$37bob2o\$38b3o\$o18bo\$obo14b3o\$b3o13b2obo\$obo14b3o\$bo2\$18bo\$16b3o\$16b2obo\$16b3o!`

Here are the three oscillators which I would like to find a synthesis for.
`x = 37, y = 8, rule = B35/S34782bo\$bobo\$o2bo30bo\$b3o20b2o8b3o\$4b3o15b2obo7bo2bo\$4bo2bo16b2o8b3o\$4bobo27bo\$5bo!`
c0b0p0

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

### Re: Glider Syntheses in Other Rules

Live Free or Die (s0/b2) has this fun one, using two small p1 spaceships (moons) to construct a p19 oscillator, the monster. The moon is only four cells and the only p1 spaceship in the rule. What I find cool about this reaction is that the evolution of the monster actually contains a few phases in which two moons reappear and collide in the center again.
`x = 13, y = 4, rule = B2/S0o11bo\$bo9bo\$bo9bo\$o11bo!`

Posts: 100
Joined: October 11th, 2013, 8:07 pm
Location: Cambridge, MA

### Re: Glider Syntheses in Other Rules

c0b0p0 wrote:B35/S3478 seems to be promising for glider syntheses; here are some of mine.

B3678/S35678 is even more promising -- it looks like a cross between LongLife and Dimoeba, plus it has a natural glider and natural infinite growth! (I still have not been able to synthesize that.)

Here is a two-glider recipe for the natural p22 I call "the arrow".
`x = 23, y = 13, rule = B3678/S356782bo\$b3o\$4o\$2b2o\$2b2o\$2bo\$3bo16bo\$19b3o\$19b4o\$19b2o\$19b2o\$20bo\$19bo!`

Based on that recipe, below is a synthesis of a common p20 that is generated from a 3x3 block.
`x = 28, y = 19, rule = B3678/S356782bo\$b3o\$4o\$2b2o\$2b2o\$2bo\$3bo16bo\$19b3o\$19b4o\$19b2o\$19b2o\$20bo\$19bo5bo\$24b3o\$24b4o\$24b2o\$24b2o\$25bo\$24bo!`

Here is the natural infinite growth
`x = 12, y = 12, rule = B3678/S356783bo\$2b3o\$b6o\$7o\$b8o\$2b7o\$2b9o\$4b7o\$4b8o\$6b5o\$6b5o\$8bo!`

... and a sparkier version.
`x = 14, y = 14, rule = B3678/S356782bo2\$ob3o\$2b3o3bo\$2b7o\$4b6o\$4b8o\$4b8o\$3b11o\$5b9o\$6b6o\$6b6o\$8b2o\$8b2o!`
c0b0p0

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

### Re: Glider Syntheses in Other Rules

Here is a glider synthesis (in B358/S135) of a block.
`x = 37, y = 181, rule = B358/S135o2\$bo30b2o\$bobo27b2obo\$bobo26bo3bo\$bobo27b2obo\$bo30b2o2\$o52\$10bo2\$11bo\$11bobo17bo\$11bobo16bo2b2o\$11bobo17bo\$11bo2\$10bo54\$33b2o\$32b2o2\$32b2o\$33b2o12\$31b3o2\$30b5o\$28bo7bo30\$12bo2\$13bo\$13bobo\$13bobo\$13bobo\$13bo2\$12bo20b2o\$32b2o!`

A big band (the only p4 in the B3A0124/S1D02 rulespace) is two gliders from the first intermediate oscillator in the pattern above, as shown below.
`x = 49, y = 18, rule = B358/S13545bo\$44bo2b2o\$45bo\$24bo2\$25bo\$25bobo\$25bobo\$25bobo\$o24bo2\$bo22bo\$bobo\$bobo\$bobo\$bo2\$o!`

This rule also has a simple 16-cell eater, shown below.
`x = 38, y = 15, rule = B358/S1353bo3bo\$4b3o2\$37bo2\$36bo\$2o32bobo\$2o32bobo\$2o32bobo\$36bo2\$37bo2\$4b3o\$3bo3bo!`
c0b0p0

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

### Re: Glider Syntheses in Other Rules

c0b0p0 wrote:This rule also has a simple 16-cell eater, shown below.

Here is a 15-cell eater.
`x = 27, y = 17, rule = B358/S13521b3o\$20bo3bo3\$o2\$bo24bo\$bobo21bo\$bobo21bo\$bobo21bo\$bo24bo2\$o3\$20bo3bo\$21b3o!`
c0b0p0

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

### Re: Glider Syntheses in Other Rules

7-glider synthesis of the 6-cell phoenix :
`x = 106, y = 64, rule = B35/S3478105bo\$103bobo\$102b3o\$103bobo\$104bo33\$29bo52bo\$29b3o48bobo\$28bob2o47b3o\$29b3o48bobo\$81bo2\$30bo\$30b3o\$29bob2o\$30b3o8\$o18bo\$obo14b3o\$b3o13b2obo\$obo14b3o\$bo2\$18bo\$16b3o\$16b2obo\$16b3o!`
unname66609

Posts: 87
Joined: December 20th, 2014, 8:30 am

### Re: Glider Syntheses in Other Rules

I'm still spending my time looking around in hexagonal rules...
(first row is 2 gliders, 2nd row is 3).
`x = 193, y = 30, rule = B2/S3H70bobo58bo19bo10bo17bobo\$bo29bo11bo30bo16bo38bo2bo19bo7bo21b2o\$3bo29bo8bo28bo2bo18bo37b2obo15bobo2bo4bo2bobo14bobo\$obo2bo6bo17bobo2bo5bo2bobo24bobo16bobo2bo25bo8b2ob4o44b2obobo\$11bo49bo10bo2bo25bobo19bo8b2obo15bobo2bo4bo2bobo14bo2bo\$bobo2bo3bo2bobo15bobo2bo5bo2bobo15bo12bo14bobo2bo3b2o18bobo2bo6bo2bo19bo7bo18bo2b2o\$5bo29bo8bo15bobo2bo7bobo19bo4bob2obo28bo19bo10bo18b2o\$4bo6bo2bobo17bo11bo47bo10bo15bobo2bo\$13bo47bobo2bo34bob2obo18bo\$15bo49bo36b2o20bo62bo\$64bo39bobo82bo\$186bobo2bo2\$187bobo2bo\$191bo\$190bo5\$bo39bo\$3bo36bo\$obo2bo3bo32bo\$31bo11bo\$bobo2bo2bobo21bo\$5bo4bo19bobo2bo7bo\$4bo\$31bobo2bo\$35bo\$34bo!`
-John Cerkan
John

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Joined: June 29th, 2015, 4:36 pm

### Re: Glider Syntheses in Other Rules

2x2:

Duoplet from 2 gliders:

`x = 11, y = 6, rule = B36/S1253bo\$o2bo3bo\$bobo3bo2bo\$7bobo\$bo\$9bo!`
moved to drc

danieldb

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Location: Right behind you holding a knife

### Re: Glider Syntheses in Other Rules

3-glider synthesis of duplex rake in B2o45/S2o45H:
`x = 30, y = 25, rule = B2o45.S2o4524b2o\$27bo\$25b4o\$25b3o\$25b3obo\$29bo11\$o\$ob3o\$2b3o11b2o2bo\$b4o11b2obo\$2bo13b2obo\$4b2o11bob2o\$19bo2\$20bo!`
strake

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Location: Mountain View, California