Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

[dani]

XOR oscillators along with p2(ish) and p4 sparkers:

Code: Select all

x = 33, y = 124, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
30bo$28b3o$28bo$26b3o$26bo4b2o$24b3o4bo$24bo4b3o$22b3o4bo$22bo4b3o$20b
3o4bo$20bo4b3o$18b3o4bo$18bo4b3o$16b3o4bo$16bo4b3o$14b3o4bo$14bo4b3o$
13b2o4bo$17b3o$14bo2bo$15b3o$15bo3$30bo$28b3o$28bo$26b3o$26bo4b2o$24b
3o4bo$24bo4b3o$22b3o4bo$22bo4b3o$20b3o4bo$20bo4b3o$18b3o4bo$18bo4b3o$
16b3o4bo$16bo4b3o$14b3o4bo$14bo4b3o$13b2o4bo$17b3o$17bo$b2o12b3o$ob2o
11bo$b2o2$30bo$28b3o$28bo$26b3o$26bo4b2o$24b3o4bo$24bo4b3o$22b3o4bo$
22bo4b3o$20b3o4bo$20bo4b3o$18b3o4bo$18bo4b3o$16b3o4bo$16bo4b3o$14b3o4b
o$14bo4b3o$13b2o4bo$17b3o$17bo$12b2ob3o$13bobo$11bo$14bo3$30bo$28b3o$
28bo$26b3o$26bo4b2o$24b3o4bo$24bo4b3o$22b3o4bo$22bo4b3o$20b3o4bo$20bo
4b3o$18b3o4bo$18bo4b3o$16b3o4bo$16bo4b3o$14b3o4bo$14bo4b3o$13b2o4bo$
17b3o$14bo2bo$12b3ob2o$12bo$15bo3$30bo$28b3o$28bo$26b3o$26bo4b2o$24b3o
4bo$24bo4b3o$22b3o4bo$22bo4b3o$20b3o4bo$20bo4b3o$18b3o4bo$18bo4b3o$16b
3o4bo$16bo4b3o$14b3o4bo$10bo3bo4b3o$8bo4b2o4bo$8b2obo5b3o$17bo$15b3o$
15bo$8b2obo$8bo$10bo!

I feel like every rule I discover has some sort of XOR oscillator, haha.

Is there any use? Can this be paired with the p2 reflector?

EDIT2: p6 sparker example:

Code: Select all

x = 25, y = 26, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
22bo$20b3o$20bo$18b3o$18bo4b2o$16b3o4bo$16bo4b3o$14b3o4bo$14bo4b3o$12b
3o4bo$12bo4b3o$10b3o4bo$10bo4b3o$8b3o4bo$8bo4b3o$6b3o4bo$6bo4b3o$4b3o
4bo$4bo4b3o$3b2o4bo$7b3o$o6bo$3bo2$3bo$bo3bo!

[77topaz]

XOR oscillators along with p2(ish) and p4 sparkers:

Code: Select all

RLE

I feel like every rule I discover has some sort of XOR oscillator, haha.

Is there any use? Can this be paired with the p2 reflector?

EDIT2: p6 sparker example:

Code: Select all

RLE

Interesting: the first two are p1022, the third is p24, the fourth is p56, the fifth is p48 and the one in the edit is also p48.

[2718281828]

An updated list of small (stable) 180° G to G reflector:

Code: Select all

x = 46, y = 107, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$27b2o$28bo$27b2o5$10bo$26bo$9b3o16bo$9bobo15b2obo$8b2o18bo$14b2o10bo
6b2o4b2o$8b2o4bo11b3o4bo6bo$9bo4b2o12bo4b2o4b2o$9b2o17b2o4$28bo$30bo$
29b2o$27bo$33b2o4b2o$33bo6bo$33b2o4b2o$27bo$29b2o$30bo$28bo5$30bo$28b
3o$28bo$22bo$20b5o8b2o4b2o$14bo5bo3bo8bo6bo$16bo2b2obob2o7b2o4b2o$15b
2o3bo3bo$20b5o$22bo8$28bo$24bo5bo$22b3o4b2o$22bo$33b2o4b2o$24bo8bo6bo$
33b2o4b2o$22bo$22b3o4b2o$24bo5bo$28bo6$30bo$28bo$23bo$33b2o4b2o$26bo2b
o3bo6bo$33b2o4b2o$23bo$28bo$30bo8$27bo$25b5o$19bo5bo3bo3b2o4b2o$21bo2b
2obob2o2bo6bo$20b2o3bo3bo3b2o4b2o$25b5o$27bo7$27bo$25b5o3b2o4b2o$19bo
5bo3bo3bo6bo$21bo2b2obob2o2b2o4b2o$20b2o3bo3bo$25b5o$27bo!

There is a new one that shifts the G and allows this 90° reflector, which is might be of some use if we need an larger delay:

Code: Select all

x = 49, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
16bo$14b3o$14bo$8bo$6b5o8b2o$o5bo3bo8bo22b2o$2bo2b2obob2o7b2o21bo$b2o
3bo3bo31b2o$6b5o$8bo11bo19bo$18b5o15b5o$18bo3bo15bo3bo$17b2obob2o13b2o
bob2o$18bo3bo15bo3bo$18b5o15b5o$20bo19bo3$20b2o18b2o$21bo19bo$19bo19bo
!

And something on orthogonal spaceships partials:
The first one is c/7, the second one c/10 and the third one c/11. The latter ones are adjustable to all slower c/n speeds:

Code: Select all

x = 50, y = 102, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$7bo$25bo2bo13bo$25b3o$7bo18bo$7bo15bo$7bo13bobo$21b3o$42bo$7bo16bo2b
o13b3o$25b3o13bo2bo$7bo18bo$6b3o12bo$5b5o11bobo17b3o$6b3o12b3o17bobo$
41bo$7bo17bo2bo$25b3o14bo$26bo14b3o$23bo16bo2bo$6bobo12bobo$21b3o$41b
3o$24bo2bo13bobo$7bo17b3o15bo$6b3o17bo$6b3o12bo20bo$5b2ob2o11bobo17b3o
$5bo3bo11b3o17bo2bo$5bo3bo$25bo2bo$7bo17b3o13b3o$26bo14bobo$23bo17bo$
7bo13bobo$6b3o12b3o18bo$7bo33b3o$24bo2bo12bo2bo$25b3o$6b3o17bo$21bo19b
3o$7bo13bobo17bobo$5bo3bo11b3o19bo$4bo2bo2bo$25bo2bo13bo$25b3o13b3o$7b
o18bo14bo2bo$23bo$21bobo$6b3o12b3o17b3o$6bobo32bobo$6b3o15bo2bo13bo$
25b3o$7bo15bo2bo15bo$21bo19b3o$21b2o17bo2bo$7bo$7bo$7bo33b3o$41bobo$
43bo$7bo$42bo$7bo33b3o$6b3o32bo2bo$5b5o$6b3o$41b3o$7bo33bobo$41bo2$42b
o$6bobo32b3o$40bo2bo3$7bo$6b3o$6b3o$5b2ob2o$5bo3bo$5bo3bo2$7bo3$7bo$6b
3o$7bo3$6b3o2$7bo$5bo3bo$4bo2bo2bo!

EDIT1:

Somehow related to the mentioned 180° reflector, a signal splitter for the snowflake reaction chains. Unfortunately it is not a stable splitter, but a periodic one with p>= 47. The period is determined by the gun which powers the signal splitter.

The p = 47 version:

Code: Select all

x = 71, y = 84, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$30bo$28bo$28b2o3$28bo$26b5o$26bo3bo$25b2obob2o$26bo3bo$26b5o$28bo$
42bo$26bo13bo$24b5o11b2o$24bo3bo$23b2obob2o11bo$24bo3bo10b5o$24b5o10bo
3bo$26bo11b2obob2o$39bo3bo$28bo10b5o$26b5o10bo$26bo3bo$25b2obob2o$26bo
3bo$26b5o5bo$28bo5b3o28bo$34bo12bo15bo$11bo15bo17b5o13b2o$9b5o11b5o15b
o3bo16bo$9bo3bo5bo5bo3bo9bobo2b2obob2o3b2o$8b2obob2o2b5o2b2obob2o8b3o
3bo3bo4bo$9bo3bo3bo3bo3bo3bo15b5o4b2o$9b5o2b2obob2o2b5o17bo18bo$11bo5b
o3bo5bo5b2o28b2o$17b5o11bo2b2o5b2o18bo$19bo8bo3b2o3bo5bo21bo$26b5o4bo
9bo$26bo3bo7bo3bo$25b2obob2o$26bo3bo$26b5o$28bo2$26bo$4b3o17b5o$4bobo
17bo3bo$23b2obob2o$24bo3bo$24b5o$26bo2$28bo$26b5o$26bo3bo$25b2obob2o$
26bo3bo$26b5o$28bo2$30bo$28b5o$28bo3bo$27b2obob2o$28bo3bo$28b5o$30bo2$
5bo$4b3o23b2o$4bobo24bo$5bo23bo!

[Rhombic]

LLS broad search for c/17 --> can be tunable if you think a given supposition could lead to a better result, that's the beauty of LLS. This is the full search tree:

Code: Select all

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 0 0 
0 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 0 
0 x30 x31 x32 x33 x34 x35 x36 x37 x38 x39 x40 x41 x42 x43 x44 x45 0 
0 x46 x47 x48 x49 x50 x51 x52 x53 x54 x55 x56 x57 x58 x59 x60 x61 0 
0 x62 x63 x64 x65 x66 x67 x68 x69 x70 x71 x72 x73 x74 x75 x76 x77 0 
0 x78 x79 x80 x81 x82 x83 x84 x85 x86 x87 x88 x89 x90 x91 x92 x93 0 
0 0 x94 x95 x96 x97 x98 x99 x100 x101 x102 x103 x104 x105 x106 x107 0 0 
0 0 x108 x109 x110 x111 x112 x113 x114 x115 x116 x117 x118 x119 x120 x121 0 0 
0 0 x122 x123 x124 x125 x126 x127 x128 x129 x130 x131 x132 x133 x134 0 0 0 
0 0 0 x135 x136 x137 x138 x139 x140 x141 x142 x143 x144 x145 0 0 0 0 
0 0 0 0 0 x146 x147 x148 x149 x150 x151 x152 x153 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0 
0 * * * * * * * * * * * * * * * * 0  
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 0 0 
0 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 0 
0 x30 x31 x32 x33 x34 x35 x36 x37 x38 x39 x40 x41 x42 x43 x44 x45 0 
0 x46 x47 x48 x49 x50 x51 x52 x53 x54 x55 x56 x57 x58 x59 x60 x61 0 
0 x62 x63 x64 x65 x66 x67 x68 x69 x70 x71 x72 x73 x74 x75 x76 x77 0 
0 x78 x79 x80 x81 x82 x83 x84 x85 x86 x87 x88 x89 x90 x91 x92 x93 0 
0 0 x94 x95 x96 x97 x98 x99 x100 x101 x102 x103 x104 x105 x106 x107 0 0 
0 0 x108 x109 x110 x111 x112 x113 x114 x115 x116 x117 x118 x119 x120 x121 0 0 
0 0 x122 x123 x124 x125 x126 x127 x128 x129 x130 x131 x132 x133 x134 0 0 0 
0 0 0 x135 x136 x137 x138 x139 x140 x141 x142 x143 x144 x145 0 0 0 0 
0 0 0 0 0 x146 x147 x148 x149 x150 x151 x152 x153 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

[2718281828]

XOR oscillators along with p2(ish) and p4 sparkers:

These oscillators can be switched on and off relatively easily, using a single G:

Code: Select all

x = 61, y = 27, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$33bo$31b3o19b2o$31bo21bo$29b3o21b2o$29bo4b2o$28b2o4bo$32b3o$32bo$16b
2o12b3o$15bob2o11bo$16b2o4$33bo$31b3o$31bo$29b3o$29bo4b2o$28b2o4bo$5b
2o25b3o$4bob2o24bo$5b2o9b2o12b3o$15bob2o11bo$16b2o!

Together with 'destroy' and rebuild techniques it might be possible to construct a stable diagonal light-speed signal converter (with large repeat times). We can use the signal e.g. by:

Code: Select all

x = 30, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
26bo$24b5o$18bo5bo3bo$16b3o4b2obob2o$16bo4bo2bo3bo$14b3o7b5o$14bo4b2o
5bo$13b2o4bo$17b3o$17bo$b2o12b3o$ob2o11bo$b2o!

[BlinkerSpawn]

2-cell push:

Code: Select all

x = 18, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bo$9b2ob2o$9bo2bo$8b2ob2o$10bo$7bo$5b5o4bo$5bo3bo4b3o$4b2obob2o2bo2b
o$5bo3bo4bo2bo$5b5o4b3o$7bo8bo$10bo$8b2ob2o$9bo2bo$9b2ob2o$11bo6$3o$ob
o!

The final pushes must be an odd number of ticks apart.

[dani]

2-cell push:

Reduced the p2 used and p1-ized some of the parts:

Code: Select all

x = 17, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$8bo5bo$8b2o2bo$12b2o$7bo$5b5o4bo$5bo3bo4b3o$4b2obob2o5bo$5bo3bo4b
o$5b5o4b2o$7bo$12b2o$8b2o2bo$8bo5bo$10bo7$3o$obo!

I'll look for a p1 solution unless anybody beats me to it.

EDIT: Seemingly no p1 solution for the rightmost catalyst, but here's a slight reduction:

Code: Select all

x = 17, y = 23, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$8bo$8b2o2$7bo5b2o$5b5o4bo$5bo3bo4b3o$4b2obob2o5bo$5bo3bo4bo$5b5o
4b2o$7bo$12b2o$8b2o2bo$8bo5bo$10bo7$3o$obo!

[2718281828]

I'll look for a p1 solution unless anybody beats me to it.

As it works for both periods I think it is not that important to get a p1 version. The p2 rotor will never interact with something else, the reaction speed is exactly the same. The fact that with the second configuration the period is shifted is therefore never a problem. It also works works two of four configurations with the R (but destroys it):

Code: Select all

x = 104, y = 54, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
12bo24bo$10bo24bo$10b2o23b2o2$9bo5b2o17bo5b2o8b2o$7b5o4bo15b5o4bo9bo$
7bo3bo4b3o13bo3bo4b3o7b3o$6b2obob2o5bo12b2obob2o2bo2bo9bo$7bo3bo4bo15b
o3bo4bo9bo$7b5o4b2o14b5o4b2o8b2o$9bo24bo$15b2o23b2o8b2o$10b2o3bo19b2o
3bo9bo$10bo6bo17bo6bo9bo$12bo24bo7$2b3o22b3o$2bobo22bobo7$12bo24bo31bo
24bo$10bo24bo31bo24bo$10b2o23b2o30b2o23b2o2$9bo5b2o17bo5b2o24bo5b2o17b
o5b2o$7b5o4bo15b5o4bo22b5o4bo15b5o4bo$7bo3bo4b3o13bo3bo4b3o20bo3bo4b3o
13bo3bo4b3o$6b2obob2o5bo12b2obob2o2bo2bo19b2obob2o5bo12b2obob2o2bo2bo$
7bo3bo4bo15bo3bo4bo22bo3bo4bo15bo3bo4bo$7b5o4b2o14b5o4b2o21b5o4b2o14b
5o4b2o$9bo24bo31bo24bo$15b2o23b2o30b2o23b2o$10b2o3bo19b2o3bo26b2o3bo
19b2o3bo$10bo6bo17bo6bo24bo6bo17bo6bo$12bo24bo31bo24bo7$2b3o22b3o29b3o
22b3o$2bobo22bobo29bobo22bobo$2bo24bo33bo24bo!

It also works with front collisions, the canalizing reaction only needs to provide a domino spark. It also allows these oscillators:

Code: Select all

x = 29, y = 34, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$22bo$20bo$4bo15b2o$6bo$5b2o12bo5b2o$3bo13b5o4bo$11b2o4bo3bo4b3o$11bo
4b2obob2o5bo$11b2o4bo3bo4bo$3bo13b5o4b2o$5b2o12bo$6bo18b2o$4bo15b2o3bo
$20bo6bo$22bo3$22bo$20bo$20b2o$10bo$19bo5b2o$3bo13b5o4bo$5bo11bo3bo4b
3o$4b3o4bo4b2obob2o5bo$5bo11bo3bo4bo$3bo13b5o4b2o$19bo$10bo14b2o$20b2o
3bo$20bo6bo$22bo!

[Rhombic]

Smaller p5, stator not minimal:

Code: Select all

x = 10, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o$5bo$o4b3o$2bo4bo$b2o4b3o$3b2obo2bo$4bo2bo$2bo4b2o!

[BlinkerSpawn]

Smaller p5, stator not minimal:

Code: Select all

x = 10, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o$5bo$o4b3o$2bo4bo$b2o4b3o$3b2obo2bo$4bo2bo$2bo4b2o!

p5/13/27/37/32:

Code: Select all

x = 91, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
78bo$78b3o$4bo13bo15bo19bo19b2o4bo$4b3o11b3o13b3o17b3o18bo4b3o$2o4bo7b
2o4bo9b2o4bo13b2o4bo18b3o4bo$bo2bob3o6bo2bob3o8bo2bob3o12bo2bob3o18bo
2bob3o$b3o4bo6b3o4bo8b3o4bo12b3o4bo18b3o4bo$3bo2bo10bo4b3o8bo4b3o12bo
4b3o18bo4b3o$6b2o9b3o4bo8b3o4bo12b3o4bo18b3o4bo$19bo2bo12bo4b3o12bo4b
3o18bo4b3o$22b2o11b3o4bo12b3o4bo18b3o4bo$37bo2bo16bo4b3o18bo4b3o$40b2o
15b3o4bo18b3o4bo$59bo2bo22bo2bo$62b2o24b2o!

[dani]

Miscellaneous new, useful looking catalyst:

Code: Select all

x = 18, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$2bo3bo$b2ob5o$4bo3bo$3b2obob2o$4bo3bo4bobobo$4b5o$6bo!

In this reaction the snowflake, strangely enough, gets regenerated twice using two completely different reactions, which is convenient for posting space

[Rhombic]

Miscellaneous new, useful looking catalyst:

Code: Select all

x = 18, y = 8, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$2bo3bo$b2ob5o$4bo3bo$3b2obob2o$4bo3bo4bobobo$4b5o$6bo!

In this reaction the snowflake, strangely enough, gets regenerated twice using two completely different reactions, which is convenient for posting space

Great catalyst!! Variations:

Code: Select all

x = 57, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
47bo$49bo$48b2o6bo$22bo$o19bo13bo21bo$2bo3bo13b2o14bo3bo$b2ob5o26b2ob
5o$4bo3bo29bo3bo$3b2obob2o27b2obob2o$4bo3bo4bobobo20bo3bo4bobobo$4b5o
29b5o$6bo33bo6$13bo33bo2bo$13b3o31b3ob2o$15bo33bobo$50bo2bo!

But the important question is... what conduits do we know/insertion reactions for the tridot? It is one of the most useful patterns in this rule but I am unaware of a catalytic generation!

[BlinkerSpawn]

Something else funky:

Code: Select all

x = 14, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7b2o$5bo2bo$5b2o2$12b2o$o11bo$12b2o2$5b2o$5bo$7bo!

EDIT: Dot factory:

Code: Select all

x = 17, y = 12, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$bo8b2o$b2o5bo2bo$8b2o2$15b2o$3bo11bo$15b2o2$8b2o$8bo$10bo!

[dani]

That's a really satisfying two patterns! The Z in the second can be turned into the 4-celler which also reduces the bounding box.

I call the type of reaction exemplified in the first codebox a 'halo reaction', with the requirement of having the snowflake's central cell be in the same place the sacrificial dot was. An example that I probably posted earlier in the thread:

Code: Select all

x = 8, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$2bo$3o3$7bo3$3o$2bo$b2o!

That one is less useful since it requires two signals, but it is stilla valid reaction

[2718281828]

Together with 'destroy' and rebuild techniques it might be possible to construct a stable diagonal light-speed signal converter (with large repeat times).

It is possible to build light-speed diagonal signal converters:
The recipe is the following:

Code: Select all

x = 92, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
45bobo$45b3o4$67b2o$66bob2o$67b2o$19bo28bo$17b5o64b3o$17bo3bo23b2o39bo
$16b2obob2o23bo32bo6b2o$17bo3bo23b2o32bobo$17b5o57b3o$19bo$16bo26bo29b
o$14b3o24b3o2bo24b3o15b2o$14bo4bo21bo29bo17bo$12b3o24b3o27b3o17b2o$12b
o4b2o20bo4b2o23bo4b2o3bo$10b3o4bo19b3o4bo22b3o4bo3b3o$10bo4b3o19bo4b3o
22bo4b3o3bobo$8b3o4bo19b3o4bo22b3o4bo6bo$8bo4b3o19bo4b3o22bo4b3o$7b2o
4bo20b2o4bo23b2o4bo$11b3o24b3o27b3o$3b2o6bo23bo2bo29bo$4bo4b3o24b3o27b
3o$3b2o4bo26bo29bo$8b2o25b2o28b2o!

The signal at the end of the wire hits a dot-snowflake constellation which emits an R plus two dots. The R must be used with splitters and reflector to deactivate the (then oscillating wire) and rebuild the dot-snowflake constellation the actual version uses 5G+2R for deactivation and rebuilding - but might be optimized and rearranged.

The only problem for practical use is that I know only one way to deactivate the oscillator. If the period of the wire large this leads to high repeat times.

Does someone know the formula behind this sequence of these oscillators? Somehow related to:

p5/13/27/37/32:

Code: Select all

x = 91, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
78bo$78b3o$4bo13bo15bo19bo19b2o4bo$4b3o11b3o13b3o17b3o18bo4b3o$2o4bo7b
2o4bo9b2o4bo13b2o4bo18b3o4bo$bo2bob3o6bo2bob3o8bo2bob3o12bo2bob3o18bo
2bob3o$b3o4bo6b3o4bo8b3o4bo12b3o4bo18b3o4bo$3bo2bo10bo4b3o8bo4b3o12bo
4b3o18bo4b3o$6b2o9b3o4bo8b3o4bo12b3o4bo18b3o4bo$19bo2bo12bo4b3o12bo4b
3o18bo4b3o$22b2o11b3o4bo12b3o4bo18b3o4bo$37bo2bo16bo4b3o18bo4b3o$40b2o
15b3o4bo18b3o4bo$59bo2bo22bo2bo$62b2o24b2o!

In general it seems that the period increases with length, but for me it looks very chaotic:
When considering e.g.:

Code: Select all

x = 89, y = 47, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$81bo$79b3o$79bo$77b3o$36bo40bo4b2o$34b3o38b3o4bo$34bo40bo4b3o$32b3o
38b3o4bo$32bo4b2o34bo4b3o$30b3o4bo33b3o4bo$30bo4b3o33bo4b3o$28b3o4bo
33b3o4bo$28bo4b3o33bo4b3o$26b3o4bo33b3o4bo$26bo4b3o33bo4b3o$24b3o4bo
33b3o4bo$24bo4b3o33bo4b3o$22b3o4bo33b3o4bo$22bo4b3o33bo4b3o$20b3o4bo
33b3o4bo$20bo4b3o33bo4b3o$18b3o4bo33b3o4bo$18bo4b3o33bo4b3o$16b3o4bo
33b3o4bo$16bo4b3o33bo4b3o$14b3o4bo33b3o4bo$14bo4b3o33bo4b3o$12b3o4bo
33b3o4bo$12bo4b3o33bo4b3o$10b3o4bo33b3o4bo$10bo4b3o33bo4b3o$8b3o4bo33b
3o4bo$8bo4b3o33bo4b3o$6b3o4bo33b3o4bo$6bo4b3o33bo4b3o$5b2o4bo34b2o4bo$
9b3o38b3o$6bo2bo37bo2bo$7b3o38b3o$7bo40bo$6b2o39b2o!

The left oscillator has a period of 62 which seems to be minimal for the length (roughly twice the bounding box) as the signal goes once to the end of the oscillator and once to the beginning. In contrast the second oscillator is p174762 which is not really useful for practical use.

EDIT1:
Okay, if the bounding box is 2^n x (2^n+3) then the period is 2^(n+1)-2 which is minimal:

Code: Select all

x = 521, y = 259, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
518bo$516b3o$516bo$514b3o$514bo4b2o$512b3o4bo$512bo4b3o$510b3o4bo$510b
o4b3o$508b3o4bo$508bo4b3o$506b3o4bo$506bo4b3o$504b3o4bo$504bo4b3o$502b
3o4bo$502bo4b3o$500b3o4bo$500bo4b3o$498b3o4bo$498bo4b3o$496b3o4bo$496b
o4b3o$494b3o4bo$494bo4b3o$492b3o4bo$492bo4b3o$490b3o4bo$490bo4b3o$488b
3o4bo$488bo4b3o$486b3o4bo$486bo4b3o$484b3o4bo$484bo4b3o$482b3o4bo$482b
o4b3o$480b3o4bo$480bo4b3o$478b3o4bo$478bo4b3o$476b3o4bo$476bo4b3o$474b
3o4bo$474bo4b3o$472b3o4bo$472bo4b3o$470b3o4bo$470bo4b3o$468b3o4bo$468b
o4b3o$466b3o4bo$466bo4b3o$464b3o4bo$464bo4b3o$462b3o4bo$462bo4b3o$460b
3o4bo$460bo4b3o$458b3o4bo$458bo4b3o$456b3o4bo$456bo4b3o$454b3o4bo$454b
o4b3o$452b3o4bo$452bo4b3o$450b3o4bo$450bo4b3o$448b3o4bo$448bo4b3o$446b
3o4bo$446bo4b3o$444b3o4bo$444bo4b3o$442b3o4bo$442bo4b3o$440b3o4bo$440b
o4b3o$438b3o4bo$438bo4b3o$436b3o4bo$436bo4b3o$434b3o4bo$434bo4b3o$432b
3o4bo$432bo4b3o$430b3o4bo$430bo4b3o$428b3o4bo$428bo4b3o$426b3o4bo$426b
o4b3o$424b3o4bo$424bo4b3o$422b3o4bo$422bo4b3o$420b3o4bo$420bo4b3o$418b
3o4bo$418bo4b3o$416b3o4bo$416bo4b3o$414b3o4bo$414bo4b3o$412b3o4bo$412b
o4b3o$410b3o4bo$410bo4b3o$408b3o4bo$408bo4b3o$406b3o4bo$406bo4b3o$404b
3o4bo$404bo4b3o$402b3o4bo$402bo4b3o$400b3o4bo$400bo4b3o$398b3o4bo$398b
o4b3o$396b3o4bo$396bo4b3o$394b3o4bo$394bo4b3o$392b3o4bo$392bo4b3o$390b
3o4bo$244bo145bo4b3o$242b3o143b3o4bo$242bo145bo4b3o$240b3o143b3o4bo$
240bo4b2o139bo4b3o$238b3o4bo138b3o4bo$238bo4b3o138bo4b3o$236b3o4bo138b
3o4bo$236bo4b3o138bo4b3o$234b3o4bo138b3o4bo$234bo4b3o138bo4b3o$232b3o
4bo138b3o4bo$232bo4b3o138bo4b3o$230b3o4bo138b3o4bo$230bo4b3o138bo4b3o$
228b3o4bo138b3o4bo$228bo4b3o138bo4b3o$226b3o4bo138b3o4bo$226bo4b3o138b
o4b3o$224b3o4bo138b3o4bo$224bo4b3o138bo4b3o$222b3o4bo138b3o4bo$222bo4b
3o138bo4b3o$220b3o4bo138b3o4bo$220bo4b3o138bo4b3o$218b3o4bo138b3o4bo$
218bo4b3o138bo4b3o$216b3o4bo138b3o4bo$216bo4b3o138bo4b3o$214b3o4bo138b
3o4bo$214bo4b3o138bo4b3o$212b3o4bo138b3o4bo$212bo4b3o138bo4b3o$210b3o
4bo138b3o4bo$210bo4b3o138bo4b3o$208b3o4bo138b3o4bo$208bo4b3o138bo4b3o$
206b3o4bo138b3o4bo$206bo4b3o138bo4b3o$204b3o4bo138b3o4bo$204bo4b3o138b
o4b3o$202b3o4bo138b3o4bo$202bo4b3o138bo4b3o$200b3o4bo138b3o4bo$200bo4b
3o138bo4b3o$198b3o4bo138b3o4bo$198bo4b3o138bo4b3o$196b3o4bo138b3o4bo$
196bo4b3o138bo4b3o$194b3o4bo138b3o4bo$194bo4b3o138bo4b3o$192b3o4bo138b
3o4bo$192bo4b3o138bo4b3o$190b3o4bo138b3o4bo$190bo4b3o138bo4b3o$188b3o
4bo138b3o4bo$188bo4b3o138bo4b3o$186b3o4bo138b3o4bo$186bo4b3o138bo4b3o$
184b3o4bo138b3o4bo$184bo4b3o138bo4b3o$182b3o4bo138b3o4bo$104bo77bo4b3o
138bo4b3o$102b3o75b3o4bo138b3o4bo$102bo77bo4b3o138bo4b3o$100b3o75b3o4b
o138b3o4bo$100bo4b2o71bo4b3o138bo4b3o$98b3o4bo70b3o4bo138b3o4bo$98bo4b
3o70bo4b3o138bo4b3o$96b3o4bo70b3o4bo138b3o4bo$96bo4b3o70bo4b3o138bo4b
3o$94b3o4bo70b3o4bo138b3o4bo$94bo4b3o70bo4b3o138bo4b3o$92b3o4bo70b3o4b
o138b3o4bo$92bo4b3o70bo4b3o138bo4b3o$90b3o4bo70b3o4bo138b3o4bo$90bo4b
3o70bo4b3o138bo4b3o$88b3o4bo70b3o4bo138b3o4bo$88bo4b3o70bo4b3o138bo4b
3o$86b3o4bo70b3o4bo138b3o4bo$86bo4b3o70bo4b3o138bo4b3o$84b3o4bo70b3o4b
o138b3o4bo$84bo4b3o70bo4b3o138bo4b3o$82b3o4bo70b3o4bo138b3o4bo$82bo4b
3o70bo4b3o138bo4b3o$80b3o4bo70b3o4bo138b3o4bo$80bo4b3o70bo4b3o138bo4b
3o$78b3o4bo70b3o4bo138b3o4bo$78bo4b3o70bo4b3o138bo4b3o$76b3o4bo70b3o4b
o138b3o4bo$76bo4b3o70bo4b3o138bo4b3o$74b3o4bo70b3o4bo138b3o4bo$74bo4b
3o70bo4b3o138bo4b3o$72b3o4bo70b3o4bo138b3o4bo$29bo42bo4b3o70bo4b3o138b
o4b3o$27b3o40b3o4bo70b3o4bo138b3o4bo$27bo42bo4b3o70bo4b3o138bo4b3o$25b
3o40b3o4bo70b3o4bo138b3o4bo$25bo4b2o36bo4b3o70bo4b3o138bo4b3o$23b3o4bo
35b3o4bo70b3o4bo138b3o4bo$23bo4b3o35bo4b3o70bo4b3o138bo4b3o$21b3o4bo
35b3o4bo70b3o4bo138b3o4bo$21bo4b3o35bo4b3o70bo4b3o138bo4b3o$19b3o4bo
35b3o4bo70b3o4bo138b3o4bo$19bo4b3o35bo4b3o70bo4b3o138bo4b3o$17b3o4bo
35b3o4bo70b3o4bo138b3o4bo$17bo4b3o35bo4b3o70bo4b3o138bo4b3o$15b3o4bo
35b3o4bo70b3o4bo138b3o4bo$15bo4b3o35bo4b3o70bo4b3o138bo4b3o$13b3o4bo
35b3o4bo70b3o4bo138b3o4bo$13bo4b3o35bo4b3o70bo4b3o138bo4b3o$11b3o4bo
35b3o4bo70b3o4bo138b3o4bo$11bo4b3o35bo4b3o70bo4b3o138bo4b3o$9b3o4bo35b
3o4bo70b3o4bo138b3o4bo$9bo4b3o35bo4b3o70bo4b3o138bo4b3o$7b3o4bo35b3o4b
o70b3o4bo138b3o4bo$7bo4b3o35bo4b3o70bo4b3o138bo4b3o$5b3o4bo35b3o4bo70b
3o4bo138b3o4bo$5bo4b3o35bo4b3o70bo4b3o138bo4b3o$3b3o4bo35b3o4bo70b3o4b
o138b3o4bo$3bo4b3o35bo4b3o70bo4b3o138bo4b3o$b3o4bo35b3o4bo70b3o4bo138b
3o4bo$bo4b3o35bo4b3o70bo4b3o138bo4b3o$2o4bo36b2o4bo70b3o4bo138b3o4bo$
4b3o40b3o70bo4b3o138bo4b3o$bo2bo39bo2bo71b2o4bo139b2o4bo$2b3o40b3o75b
3o143b3o$2bo42bo74bo2bo142bo2bo$b2o41b2o75b3o143b3o$121bo145bo$120b2o
144b2o!

The fourth one above has a period of 510, and might be suitable for practical use. However the repeat time of these type of signal converters has a lower bound at 2xbounding box - so the repeat time will depend linearly on the length of the light-speed wire.

[77topaz]

Without the little L-shape on the end, these oscillators are simply one-dimensional XOR/Sierpinski's gasket simulators, which follow OEIS sequence A160657, the same sequence as Margolus Rule 10 linear oscillators (which can be observed in rules like 2x2 and Wild Seas).

[2718281828]

Something simple on stable 180° G reflector:

Code: Select all

x = 10, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3bo$2b2o$o$6b2o$6bo$6b2o$o$2b2o$3bo$bo3$bo$3bo$2b2o2$o5b2o$6bo$6b2o
2$2b2o$3bo$bo!

I think the lower one is unknown and slightly smaller. And it provides a small spark that might be used.
Unfortunately this is not stable:

Code: Select all

x = 36, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9$27bo$24b2o3bo$24bo3b2o$26bo$18bo6b2o5b2o$16b5o11bo$10bo5bo3bo11b2o$
12bo2b2obob2o3bo$11b2o3bo3bo7b2o$16b5o7bo$18bo11bo!

[2718281828]

Three new spaceship tagalongs for the c/3 (strictly 2c/6) spaceships:

Code: Select all

x = 104, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
77bo7bo$76b3o5b3o$80b3o$80b3o$78bo2bo2bo$76b2o7b2o2$81bo$78bob3obo$77b
o7bo$81bo$81bo2$78bo5bo$78b7o2$81bo2$40bo5bo31bo5bo$39b3o3b3o29b3o3b3o
$35b3o2bo5bo2b3o21b3o2bo5bo2b3o$35bobob3o3b3obobo21bobob3o3b3obobo$34b
obobobo2bo2bobobobo19bobobobo2bo2bobobobo$bo2b3o28bo5bo3bo5bo21bo5bo3b
o5bo$4bobo28b2o13b2o21b2o13b2o$bo3bobo34b3o35b3o$3b2obo31b3obobob3o27b
3obobob3o$bob4o35b3o35b3o2$4bo7bo3bo26bo7bo3bo25bo7bo3bo$15b3o36b3o35b
3o$8bo3bo7bo26bo3bo7bo25bo3bo7bo$3b3o13b3o20b3o13b3o19b3o13b3o$8bo3bo
34bo3bo33bo3bo$14bo3bo34bo3bo33bo3bo$8bo3bo2bobo29bo3bo2bobo28bo3bo2bo
bo$15bo4b2o32bo4b2o31bo4b2o$17b4o35b4o34b4o!

[dani]

An extensible tagalong:

Code: Select all

x = 18, y = 43, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bobobo4$2bobobobo2$3bo$b2o4bo$7b2o$obo4bo$o2bo$o4bo$2o3b2o$bo3bo2$2bo
3b2o$3bobobo$3b2ob2o$5bo$6bobo$5b5o$6bobo3$7bobobo3$10bo$10bo2bo$10bo
2$13b2o$12b3o$13b2o2$12bo2bo$11bo3b2o$11bo3bo2$12bo3b2o$13bobobo$13b2o
b2o$15bo!

What i believe to be the first p12 c/3 ship:

Code: Select all

x = 12, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bobobo4$2bobobobo2$3bo$b2o4bo$7b2o$obo4bo$o2bo$o4bo$2o3b2o$bo3bo4$b3o
$bobo$b3o3bobo$6b5o$7bobo$6bo$4b2ob2o$4bobobo$4b2ob2o$4b4o$4b2obob2o$
4b3obobo$5bobob2o2$8bo$5bo2bo2bo$8bo2$6bo$6bo2bo$6bo!

It's based off a failed puffer engine. Have some more stuff. Dot puffer:

Code: Select all

x = 13, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bobobo4$2bobobobo2$3bo$b2o4bo$7b2o$obo4bo$o2bo$o4bo$2o3b2o$bo3bo4$2b
3o$2bobo$2b3o3bobo$7b5o$8bobo$7bo$5b2ob2o$5bobobo$5b2ob2o$5b4o$5b2obob
2o$5b3obobo$6bobob2o2$9bo$6bo2bo2bo$9bo2$7bo$7bo2bo$7bo!

Can be lit with a T but not relit.

The first c/3 rake, a sideways R-rake of period 24:

Code: Select all

x = 22, y = 45, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14bobobo4$14bobobobo2$15bo$13b2o4bo$19b2o$12bobo4bo$12bo2bo$12bo4bo$
12b2o3b2o$13bo3bo2$14bo3b2o$11bo3bobobo$10b3o2b2ob2o$9b5o3bo$10b3o$11b
o5$12bobo$18bo$18bo2bo$18bo2$4bobo$3b5o7bobobo$4bobo2$4bobobo$3b7o5bob
obobo$6bobo$16bo$8b2o4b2o4bo$4bo2b3o10b2o$8b2o3bobo4bo$o12bo2bo$o5b2o
5bo4bo$b2o2b3o5b2o3b2o$b2o3b2o6bo3bo!

I had to use the extended c/3 in the above post to clean up the excess dots.

EDIT: What makes it so hard to find other speeds in this rule?
EDIT2: Reduced and corrected period

[2718281828]

Nice c/3 type ships/puffers/rakes.

EDIT: What makes it so hard to find other speeds in this rule?

I think the reason is that snowflake not as chaotic and more stable than e.g. B3/S23. For example we have much more eating abilities, almost every still life can act as an eater for the G or R. Another aspect related to the chaotic behaviour is that we don't have long living methuselahs. In B3/S23 we have 5-cell pattern which last longer than 1000 generations. In snowflakes we don't have something like this. I'd wonder if there is a 5-cell pattern which last more than 100 generations, of course ignoring these kind of pattern (even 4 cells - I think longest lasting 4-cell pattern until stabilization in a 20x20 box):

Code: Select all

xx = 20, y = 5, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo17bo2$o2$o!

The longest lasting twodots snowflake-predecessor, 3-cell the tridots with a lifespan of 5 and 17.

Code: Select all

x = 22, y = 1, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo14bobobo!

Still, it is somehow comparable to B3/S23 as we have natural spaceships of four types (G/R as common as the glider, the c/6 diagonal ship slightly less common than the XWSSs, the 2c/19 ship slightly more common than the copperhead with similar speed), also the amount of linear growth pattern is similar. On the other hand the stability allows many simple G/R reflectors and oscillators of all periods which makes it a nice playground for engineering.

[dani]

The longest lasting twodots snowflake-predecessor, 3-cell the tridots with a lifespan of 5 and 17.

Code: Select all

x = 22, y = 1, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo14bobobo!

You've got that wrong! 21M:

Code: Select all

x = 4, y = 2, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo$3bo!

Tied with a bigger (technically smaller) 21M:

Code: Select all

x = 7, y = 1, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo3bo!

Does anybody have the longest c/4 partial? That first methuselah I shared looks like a potential frontend

EDIT: Even smaller 21M:

Code: Select all

x = 4, y = 1, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
ob2o!

[2718281828]

You've got that wrong! 21M:

Code: Select all

x = 4, y = 2, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
obo$3bo!

Thanks for correcting me.

A 2c/19 side-rake:

Code: Select all

x = 34, y = 50, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18bo$15bo5bo2$12bobo3bo3bobo3$18bo$17b3o$16b5o$17b3o$18bo$7bo$4bo5bo$
2o11b2o3b2o3bobobo$o5b3o5bo3bobob2o3b2obo$o2bo2bobo2bo2bobob2o3bo3bo$b
3o3bo3b3o10bobo$5b5o$5bo3bo14bobo$4b2obob2o13b3o$5bo3bo$5b5o6bo$7bo3$
16bo$7bo$4bo5bo14bo5bo$2bo9bo11bo7bo$b3o3bo3b3o2bo7bo7bo$2bo9bo10b3obo
bob3o$24bo3bo3bo$6b3o15bo3bo3bo$5b2ob2o15bo2bo2bo$5bo3bo17b3o$5b2ob2o
18bo$6b3o5$21bobo$18b3obob3o$17b4o3b4o$18b3obob3o$22bo$20b5o$21bobo$
21b3o$22bo!

Now we have side-rake for all known orthogonal spaceship speeds (c/2, c/3, 2c/19). With side-rakes we should be able to construct everything else, esp front/side/back G/R-rakes for the slower speeds.

[2718281828]

Something which I got from my spaceship collision script.

For 3G collisions it seems that we have 5 still lifes [the 4 and 5 cell eater (? [does it have a name?] and Z), 1/2-snowflake, 3/4-snowflake, snowflake].
For the R we also have 3G options. And furthermore there are four still lifes which appear in a constellation, but not separately:

Code: Select all

x = 198, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6$6bo46bobo$5bobo32bobo10b3o14b2o27bobo31bobo14b2o$5b3o19bo12b3o26b2ob
o26b3o31b3o14bo36bo3b2o$6bo15bo3bobo41b2o78b2o16bobo2bo12bobo2bo$21bob
o2b3o24b2o113b3ob3o11b3o2b2o$9b2o10b3o3bo9b2o2b2o11bo3b3o9b2o3b2o22b2o
49b2o20bobo12bo$5b2ob2obo10bo15bob2obo9b2o3bobo10bo3bo24bo5b2o43bo15b
2o4bo$6bo2b2o26b2o2b2o27b2o3b2o22b2o4b2obo24b2o15b2o16bo16b2o$5b2o19b
2o78b2o26bo32b2o17bo$27bo105b2o50b2o$26b2o111bo12b3o$138b3o11bobo$138b
obo$139bo!

EDIT1:
For 2G+R we have slightly more objects, the most interesting ones (esp. it includes the important 6-bit eater):

Code: Select all

x = 216, y = 97, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9$46bobo$46b3o$43b3o103b2o37bo$18bobo24bo16b3o15bo62bobo2b2obo35bobo$
18b3o23b2o18bo14bobo45b3o13b3o3b2o13bo22b3o5bobo$63b2o14b3o20b2o2b2o
21bo33bobo22bo6b3o$59b2o19bo22bob2obo19b2o33b3o$60bo2b2o19bobo15b2o2b
2o14b2o40bo$41b2o16b2ob2obo18b3o34bob2o4b2o12b3o41b3o$18b3o21bo20b2o
16b3o19b3o16b2o4b2obo13bo43bo$20bo20b2o40bo21bo23b2o13b2o17b3o4b2o16b
2o$19b2o61b2o20b2o59bo3b2obo$25b2o137b2o4b2o$25bo$25b2o18$18bo$17bobo$
17b3o$18bo3$17b3o29bo$19bo23b3o2bobo30b2o5b2o17b2o$18b2o25bo2b3o31bo4b
2obo16bo27bobo$44b2o3bo31b2o5b2o10b3o4b2o26b3o$102bo29b3o$51b2o29b3o
16b2o21b2o8bo$23b3o24b2obo30bo38bob2o6b2o$23bobo25b2o30b2o17bo21b2o$
101b3o$101bobo$102bo13$15b2o5b2o$14b2obo4bo$15b2o5b2o3$14b3o$16bo$15b
2o12$18b3o$20bo$19b2o$15b2o$16bo3b2o$15b2o2b2obo$20b2o!

[dani]

Nice, have you tallied the amount of reactions? It's probably a really low amount all things considered but it would be interesting to see.

Also, the 4-bit eater is referred to as a 'half-carrier' by apgsearch-nt v1.0, and it's what I've always referred to it when referring to rules with it.

I'm curious to see if it can be disproven that every object above 1 bit can be made with >1.0 glider per bit. There are a lot of obscure still lifes with no known recipe on catagolue that form almost instantaneously, take this for example:

Code: Select all

x = 16, y = 16, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
boobbbobobobooob$
obbobbbobbbboobo$
obbbbobbooboobbb$
bobbbobbbboobbbb$
oobbbbboboobboob$
oobbbboobobboobb$
obbbbboobbbobooo$
oobobboobobobbbo$
oobobbbobbooooob$
obbbobbbobooboob$
oobbobbobobobobb$
oobobooooobooobo$
oboobbboobbobobb$
bboobobbboobbbbb$
booobooooooboboo$
obbbbbbbboobooob!

(This is one of two asymmetric occurrences known on catagolue, the other completely forms in 1 generation rather than two.)

I sometimes worry about these types of still life not being synthesizable, it looks nigh impossible to get that 7-cell nucleus in there. I haven't poured through all of the symmetric occurrences yet though, so maybe there's a better solution in those.

This isn't limited to symmetric still lifes, though, or even just this, this even affects the 8-cell phoenix I got momentarily obsessed over. Although, now it has a bit more occurrences so maybe there's a gem hidden in there. I don't know.

Another thing, the most common, big still lifes are all typically formed by a bunch of snowflakes, T's, and dots in a very confined space, so even those look improbable at best.

[dani]

Interesting 2G->3D(ots):

Code: Select all

x = 7, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$bo$2o2$6bo2$2o$bo$2o!

If we had a parallel duplicator (we probably do) then this would be a G->3D.

EDIT: Signal splitters:

Code: Select all

x = 96, y = 86, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
85bo$83b5o$83bo3bo$82b2obob2o$83bo3bo$83b5o$85bo2$87bo$85b5o$85bo3bo$
84b2obob2o$85bo3bo$85b5o$87bo2$85bo$83b5o$83bo3bo$82b2obob2o$83bo3bo$
83b5o$85bo2$87bo$85b5o$85bo3bo$84b2obob2o$85bo3bo$85b5o$87bo2$85bo$83b
5o$83bo3bo$15bo66b2obob2o$17bo65bo3bo$16b2o7bo15bo15bo25b5o$9bo13b5o
11b5o11b5o19bo5bo$7b5o11bo3bo5bo5bo3bo5bo5bo3bo17b5o$7bo3bo5bo4b2obob
2o2b5o2b2obob2o2b5o2b2obob2o16bo3bo5bo$2o4b2obob2o2b5o3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo10b2o4b2obob2o2b5o3b2o$bo5bo3bo3bo3bo3b5o2b2obob2o2b5o
2b2obob2o2b5o11bo5bo3bo3bo3bo3bo$2o5b5o2b2obob2o4bo5bo3bo5bo5bo3bo5bo
12b2o5b5o2b2obob2o4bo$9bo5bo3bo11b5o11b5o27bo5bo3bo$4b2o9b5o13bo15bo
24b2o9b5o$4bo12bo56bo12bo$6bo13bo55bo13bo$18b5o65b5o$18bo3bo65bo3bo$
17b2obob2o63b2obob2o$18bo3bo65bo3bo$18b5o65b5o$20bo69bo2$18bo69bo$16b
5o65b5o$16bo3bo65bo3bo$15b2obob2o63b2obob2o$16bo3bo65bo3bo$16b5o65b5o$
18bo69bo2$20bo69bo$18b5o65b5o$18bo3bo65bo3bo$17b2obob2o63b2obob2o$18bo
3bo65bo3bo$18b5o65b5o$20bo69bo2$18bo69bo$16b5o65b5o$16bo3bo65bo3bo$15b
2obob2o63b2obob2o$16bo3bo65bo3bo$16b5o65b5o$18bo69bo2$20bo69bo$18b5o
65b5o$18bo3bo65bo3bo$17b2obob2o63b2obob2o$18bo3bo65bo3bo$18b5o65b5o$
20bo69bo!