Travelling Ts(b3s23-a5) and its variants

[hotcrystal0]

Weird P3 resembling part of the P3 used for LCMs (the one nicknamed “key and lock”), found in a tetramer form in the B3/S23-a5-e D4_+2 census and also happens to work in B3/S23-a5:

Code: Select all

x = 13, y = 7, rule = B3/S23-a5
3b2o3b2o$3bo5bo$o11bo$4obobob4o$4bo3bo$2bo7bo$2b2o5b2o!

Edit: Another partial for the P114:

Code: Select all

x = 26, y = 21, rule = B3/S23-a5
17bo$8bo6b2o$7b3o5b2ob2o$7bo2bo5bo$6bo13bo$3bo12b2o3b2o$2bob4o8b3ob2o
bo$2bo4b2o4b2obobo4bo$obob2o2b2o3b5o2b2obobo$3obo3bo4b2obo4bob3o$2bob
o2b2ob2o6bo2bobo$4bobo10bobobo$4bobobo3b6obobo$2b2o2bo2b2o3bob4o2b2o$
3bobo3bobob2ob2o2bobo$3bob2o3bo2b2obo2b2obo$2b2o5b2o11b2o$4bob3o11b2o
$4bobo9b4obo$5bo3b2o4b6o$6b2obo8b2o!

[PK22]

A few new eaters:

Code: Select all

x = 77, y = 18, rule = B3/S23-a5
59bo$60bo$58b3o5$bo41bo$2o39b3o$bo38bo$13b2o23bo2bo31bo$10bobob3o21b3o
bo29bobobo$10b3o4bo11bo11bo30bob3o$12bob3o11b2o8b3o30b2obo$13b2o14bo9b
o29bo3bo$39b2o27bob3o$68bobo$69bo!

[hotcrystal0]

A few new eaters:

Code: Select all

x = 77, y = 18, rule = B3/S23-a5
59bo$60bo$58b3o5$bo41bo$2o39b3o$bo38bo$13b2o23bo2bo31bo$10bobob3o21b3o
bo29bobobo$10b3o4bo11bo11bo30bob3o$12bob3o11b2o8b3o30b2obo$13b2o14bo9b
o29bo3bo$39b2o27bob3o$68bobo$69bo!

How did you find these (especially the leftmost one)? If you have a catalyst searching program, then can you try to run it on the known stable reflector partials?
Edit: The middle one seems to have the same reaction as eater bridge snake and the right one has the same reaction as carrier siamese snake:

Code: Select all

x = 38, y = 30, rule = B3/S23-a5
15bo19b2o$13b3o19bo$12bo23bo$10bo2bo21b2o$10b3obo19bo$3bo9bo13bo6b3o$
2obo6b3o11b2obo9bo$3bo7bo15bo8b2o$11b2o11$4bo20bo$5bo20bo$3b3o18b3o$11b
o$10bobobo$10bob3o$9b2obo17b2ob2o$7bo3bo16bo2b2obo$6bob3o17b2o$6bobo$
7bo!

[PK22]

How did you find these (especially the leftmost one)? If you have a catalyst searching program, then can you try to run it on the known stable reflector partials?

I wrote a program to randomly collide Ts and gliders with still lifes from Catagolue and check if they survive the collision, then use the changes in population to check if they are unique.

Synthesis for the p216 teardrop hassler in 28G, involving a spark to buy time to synthesise the p24s:

Code: Select all

x = 513, y = 211, rule = B3/S23-a5
43$338bo72bo$336bobo70b2o$337b2o71b2o2$331bo$332b2o$331b2o4$336bo$337b
2o$336b2o17$361bobo$362b2o25bo$362bo25bo$388b3o10$385bo$383b2o37bobo$
384b2o36b2o$423bo2$116bo$115bo281bo$65bo49b3o278b3o$66b2o328b3o$65b2o$
397bo2b2o$374b2o19b2obob3o$373bo2bo18bobo2b2o$374b3o9b2o8b2o$385bo2bo$
376b3o7b3o$87bobo286bo2bo$87b2o278b2o8b2o9b3o$88bo274b2o2bobo18bo2bo$
362b3obob2o19b2o$363b2o2bo2$43bo322b3o$44bo321b3o$42b3o322bo$214bo$
215bo$213b3o10bo114bo$227bo113b2o36b2o$225b3o112bobo37b2o$379bo2$248bo
$247b3o$247b3o2$248bo2b2o$246b2obob3o$246bobo2b2o$247b2o$374b3o$376bo
25bo$375bo25b2o$218b2o181bobo$214b2o2bobo$213b3obob2o$214b2o2bo2$217b
3o$217b3o$218bo2$116b3o$116bo122b3o$117bo121bo$240bo10b3o$251bo$252bo$
72bo$72b2o$71bobo353b2o$426b2o$428bo4$432b2o$94b2o335b2o$93b2o338bo$
43b3o49bo$45bo307b2o71b2o$44bo309b2o70bobo$353bo72bo!

[splitterrules]

Is this a new eater?

Code: Select all

x = 9, y = 11, rule = B3/S23-a5
8bo$6b3o$2b2obo$2bob2ob2o$6bobo$6bo$7bo$6b2o$2o$b2o$o!

[hotcrystal0]

Is this a new eater?

Code: Select all

x = 9, y = 11, rule = B3/S23-a5
8bo$6b3o$2b2obo$2bob2ob2o$6bobo$6bo$7bo$6b2o$2o$b2o$o!

It depends on what you count as "new". It looks like an alternative version of the well-known (at least amongst people here) snake as eater, but it has a completely different stator:

Code: Select all

x = 26, y = 11, rule = B3/S23-a5
8bo$6b3o$2b2obo$2bob2ob2o$6bobo$6bo15b2obo$7bo14bob2o$6b2o$2o14b2o$b2o
14b2o$o15bo!

[hotcrystal0]

A few new eaters:

Code: Select all

x = 77, y = 18, rule = B3/S23-a5
59bo$60bo$58b3o5$bo41bo$2o39b3o$bo38bo$13b2o23bo2bo31bo$10bobob3o21b3o
bo29bobobo$10b3o4bo11bo11bo30bob3o$12bob3o11b2o8b3o30b2obo$13b2o14bo9b
o29bo3bo$39b2o27bob3o$68bobo$69bo!

LOL WHAT (boat catalyzing a spark the leftmost eater makes in its eating reaction in a really weird way)

Code: Select all

x = 19, y = 13, rule = B3/S23-a5
10bo$9bobo$10b2o3$3bo$2obo$3bo$14b2o$11bobob3o$11b3o4bo$13bob3o$14b2o
!

[PK22]

A few new eaters:

Code: Select all

x = 77, y = 18, rule = B3/S23-a5
59bo$60bo$58b3o5$bo41bo$2o39b3o$bo38bo$13b2o23bo2bo31bo$10bobob3o21b3o
bo29bobobo$10b3o4bo11bo11bo30bob3o$12bob3o11b2o8b3o30b2obo$13b2o14bo9b
o29bo3bo$39b2o27bob3o$68bobo$69bo!

LOL WHAT (boat catalyzing a spark the leftmost eater makes in its eating reaction in a really weird way)

Code: Select all

x = 19, y = 13, rule = B3/S23-a5
10bo$9bobo$10b2o3$3bo$2obo$3bo$14b2o$11bobob3o$11b3o4bo$13bob3o$14b2o
!

Another cool reaction with the eater - it can convert a pseudo double-T to a glider on a transparent lane:

Code: Select all

x = 35, y = 31, rule = B3/S23-a5
7bo$6b2o$7bo2$7bo$6b2o$7bo$30b2o$27bobob3o$27b3o4bo$29bob3o$30b2o6$11b
o$11b2o$10bobo9$2o$b2o$o!

The double T is only about 58% as common as the flying F naturally, so this reaction is of limited use, unfortunately.
A couple 5G syntheses for the eater:

Code: Select all

x = 63, y = 20, rule = B3/S23-a5
58bobo$17bo40b2o$o15bo42bo$b2o13b3o$2o$21bo$19b2o27bobo6bobo$5bo14b2o
3bo23b2o6b2o$6b2o17bobo21bo8bo$5b2o18b2o6$48bo$48b2o$47bobo11b2o$60b2o
$62bo!

[hotcrystal0]

Another cool reaction with the eater - it can convert a pseudo double-T to a glider on a transparent lane:

Code: Select all

x = 35, y = 31, rule = B3/S23-a5
7bo$6b2o$7bo2$7bo$6b2o$7bo$30b2o$27bobob3o$27b3o4bo$29bob3o$30b2o6$11b
o$11b2o$10bobo9$2o$b2o$o!

Nice, that's our first stable spaceship-to-spaceship converter that takes a sufficiently small and common spaceship as the input (yes I know it's a pseudo-spaceship but still)! Also, can you run your program on other spaceships like the climbing C and flying F? Maybe some active regions like the B-heptaplet too?

[LuveelVoom]

2t2t

Code: Select all

x = 32, y = 13, rule = B3/S23-a5
3bo$2obo$3bo3$4bo$3b2o$4bo$27b2o$24bobob3o$24b3o4bo$26bob3o$27b2o!

[PK22]

New p8 from C2_1, most likely found by FWKnightship:

Code: Select all

x = 17, y = 11, rule = B3/S23-a5
14b2o$13bo2bo$13b2obo$8bo4b3o$8b2o$7bobo$7b2o$b3o4bo$ob2o$o2bo$b2o!

The hassled object is a predecessor of the trans-rotated bun. While the 2G synth is not able to insert it here, I found a 13G synthesis by sparking a ship:

Code: Select all

x = 135, y = 43, rule = B3/S23-a5
88bo$86b2o$87b2o2$73bo$72bo$72b3o2$65bobo$66b2o$bo64bo$2bo$3o102bo16b
2o$106bo14bo2bo$104b3o14b2obo4bo$121b3o4bo$128b3o$12bo$13bo$11b3o105b
2o$69b2o47bobo$68bobo47b2o$68b2o$8b2o$7bobo98b3o$9bo100bo4b3o$109bo4bo
b2o14b3o$114bo2bo14bo$115b2o16bo4$72bo$71b2o$71bobo2$64b3o$66bo$65bo2$
50b2o$51b2o$50bo!

[hotcrystal0]

Monomer of a known D8_1 P10 sparker by attaching halves of another P10 onto its ends:

Code: Select all

x = 19, y = 19, rule = B3/S23-a5
9bo4bo$8bobo3bo$9bo2bobobo$6bobobobobobo$6bobobob2o$6bobobo$3b3o3b2o5b
2o$15bo$bob3o12bo$obo3bo9b2o$bob4o2$2b3o$4bo$4o$7bo$2b2o2bo2bo$6bo2bo
$8bo!

[hotcrystal0]

Partials on the small lake predecessor:

P48+; 48 and 49 only work with the dot but 50+ works with the domino

Code: Select all

x = 24, y = 15, rule = B3/S23-a5
7bo$6bobo$6bobo$4b2o3b2o$3bo7bo$4b2o3b2o$2o4bobo8bo$3o3bobo7bobo$b2o4b
o8bobo4bo$14b2o3b2o2bo$13bo7bo$14b2o3b2o$16bobo$16bobo$17bo!

P70; should be easy but junk cleanup is needed

Code: Select all

x = 50, y = 44, rule = B3/S23-a5
4$15bo16bo$9bo3b4ob3o6b3ob4o3bo$9bo7b2ob2o4b2ob2o7bo$11b2o3bobob2o4b2o
bobo3b2o$17b2o10b2o$12bobobob2o8b2obobobo$13bob3obo8bob3obo$16bobo10bo
bo$16bo14bo3$11b3o20b3o$11b3o20b3o3$16bo14bo$16bobo10bobo$13bob3obo8bo
b3obo$12bobobob2o8b2obobobo$17b2o10b2o$11b2o3bobob2o4b2obobo3b2o$9bo7b
2ob2o4b2ob2o7bo$9bo3b4ob3o6b3ob4o3bo$15bo16bo!

P114; likely impossible

Code: Select all

x = 17, y = 23, rule = B3/S23-a5
5$11bo$10bobo$7bobo3bo$7bo2bobo$11bo3$11bo$7bo2bobo$7bobo3bo$10bobo$
11bo!

P31

Code: Select all

x = 36, y = 37, rule = B3/S23-a5
6$16b2o5b2o2$15bo9bo$14bobo7bobo$13bo3bo5bo3bo$14bobo7bobo$11bo3bo9bo
3bo$10bobo15bobo$9bo3bo13bo3bo$7bo2bobo15bobo2bo$7bo3bo17bo3bo6$7bo3bo
17bo3bo$7bo2bobo15bobo2bo$9bo3bo13bo3bo$10bobo15bobo$11bo3bo9bo3bo$14b
obo7bobo$13bo3bo5bo3bo$14bobo7bobo$15bo9bo2$16b2o5b2o!

[hotcrystal0]

Here’s a partial P27 by a 7n-1 phase-shifting reaction. While completions are known in CGoL, none are in this rule. This seems to be the most promising lead for a P27 right now.

Code: Select all

x = 17, y = 20, rule = B3/S23-a5
2b2o$3bo5bo$bo6bobo$b5o2bo2bo$6bob2obo$b3o2bobo2b3o$bo4bobob3o$3b2obo
bobo2b3o$4bobo3bobo3bo$4bobo3bo2bobo$2b2obob3obobob2o$bo3bo5bobo$bob2o
b3obo2bo$2bo2bo3b3ob3o$3bobob2ob3o3bo$4bobo4bob3o$2bobo3b2o3bo$bob2o$
bo$2o!

[Disaster16439]

Partials on the small lake predecessor:

P48+; 48 and 49 only work with the dot but 50+ works with the domino

Code: Select all

x = 24, y = 15, rule = B3/S23-a5
7bo$6bobo$6bobo$4b2o3b2o$3bo7bo$4b2o3b2o$2o4bobo8bo$3o3bobo7bobo$b2o4b
o8bobo4bo$14b2o3b2o2bo$13bo7bo$14b2o3b2o$16bobo$16bobo$17bo!

P72; should be easy but junk cleanup is needed

Code: Select all

x = 50, y = 44, rule = B3/S23-a5
4$15bo16bo$9bo3b4ob3o6b3ob4o3bo$9bo7b2ob2o4b2ob2o7bo$11b2o3bobob2o4b2o
bobo3b2o$17b2o10b2o$12bobobob2o8b2obobobo$13bob3obo8bob3obo$16bobo10bo
bo$16bo14bo3$11b3o20b3o$11b3o20b3o3$16bo14bo$16bobo10bobo$13bob3obo8bo
b3obo$12bobobob2o8b2obobobo$17b2o10b2o$11b2o3bobob2o4b2obobo3b2o$9bo7b
2ob2o4b2ob2o7bo$9bo3b4ob3o6b3ob4o3bo$15bo16bo!

P114; likely impossible

Code: Select all

x = 17, y = 23, rule = B3/S23-a5
5$11bo$10bobo$7bobo3bo$7bo2bobo$11bo3$11bo$7bo2bobo$7bobo3bo$10bobo$
11bo!

P31

Code: Select all

x = 36, y = 37, rule = B3/S23-a5
6$16b2o5b2o2$15bo9bo$14bobo7bobo$13bo3bo5bo3bo$14bobo7bobo$11bo3bo9bo
3bo$10bobo15bobo$9bo3bo13bo3bo$7bo2bobo15bobo2bo$7bo3bo17bo3bo6$7bo3bo
17bo3bo$7bo2bobo15bobo2bo$9bo3bo13bo3bo$10bobo15bobo$11bo3bo9bo3bo$14b
obo7bobo$13bo3bo5bo3bo$14bobo7bobo$15bo9bo2$16b2o5b2o!

The p72 is actually p70.

[hotcrystal0]

Bun spark program stuff:

Complete oscillators:

P6

Code: Select all

x = 62, y = 22, rule = B3/S23-a5
10b8o26b8o$10b8o26b8o$10b8o26b8o$10b8o26b8o$10b8o26b8o$10b8o26b8o$4b6o
8b6o14b6o8b6o$4b6o8b6o6b2o6b6o8b6o$2b2o6b8o6b2o3bo2bo3b2o6b8o6b2o$2b2o
6b8o6b2o3bobo4b2o6b8o6b2o$2o2b6o8b6o2b2obo4b2o2b6o8b6o2b2o$2o2b6o8b6o
2b2o4bob2o2b6o8b6o2b2o$2b2o6b8o6b2o4bobo3b2o6b8o6b2o$2b2o6b8o6b2o3bo2b
o3b2o6b8o6b2o$4b6o8b6o6b2o6b6o8b6o$4b6o8b6o14b6o8b6o$10b8o26b8o$10b8o
26b8o$10b8o26b8o$10b8o26b8o$10b8o26b8o$10b8o26b8o!

P7

Code: Select all

x = 43, y = 43, rule = B3/S23-a5
22b2obob2o$22b2obob2o$21bo3bo3bo$20bobo5bobo$18b2obo7bob2o$18b2o11b2o
2$18b3o9b3o2$18b2o11b2o$4b2obob2o7b2obo7bob2o$4b2obob2o9bobo5bobo$3bo
3bo3bo9bo3bo3bo$2bobo5bobo9b2obob2o$2obo7bob2o7b2obob2o$2o11b2o$20b3o
$3o9b3o5bobo$22b2o8b2obob2o$2o11b2o3bob3o9b2obob2o$2obo7bob2ob4obobob
2o4bo3bo3bo$2bobo5bobo3bo2b2ob2o2bo3bobo5bobo$3bo3bo3bo4b2obobob4ob2o
bo7bob2o$4b2obob2o9b3obo3b2o11b2o$4b2obob2o8b2o$20bobo5b3o9b3o$20b3o$
28b2o11b2o$14b2obob2o7b2obo7bob2o$14b2obob2o9bobo5bobo$13bo3bo3bo9bo3b
o3bo$12bobo5bobo9b2obob2o$10b2obo7bob2o7b2obob2o$10b2o11b2o2$10b3o9b3o
2$10b2o11b2o$10b2obo7bob2o$12bobo5bobo$13bo3bo3bo$14b2obob2o$14b2obob
2o!

P10 sparker similar to SKOP 11; 3 isomers shown (bottom one has the most clearance around the spark)

Code: Select all

x = 44, y = 80, rule = B3/S23-a5
2b3o2$bobobo$o4b3o$2o4bobo$bo5bobo21b2o$8bobo19bob2o$9bobo12bo3bo$10b
obo10b3o2bobo$11b2o7bo4bo2bo$12b2o5b2o2b2o5b2o$15bo2bo4bo7b2o$13bobo2b
3o10bobo$15bo3bo12bobo$10b2obo19bobo$11b2o21bobo5bo$35bobo4b2o$36b3o4b
o$38bobobo2$39b3o6$39b3o2$38bobobo$36b3o4bo$35bobo4b2o$34bobo5bo$33bo
bo$32bobo$31bobo$31b2o$30b2o$24bo3bo$23b3o2bobo$11b2o7bo4bo2bo$10b2ob
o5b2o2b2o5bob2o$15bo2bo4bo7b2o$13bobo2b3o$15bo3bo$12b2o$11b2o$10bobo$
9bobo$8bobo$bo5bobo$2o4bobo$o4b3o$bobobo2$2b3o6$39b3o2$38bobobo$36b3o
4bo$2b3o30bobo4b2o$34bobo5bo$bobobo27bobo$o4b3o24bobo$2o4bobo22bobo$b
o5bobo21b2o$8bobo19b2o$9bobo12bo3bo$10bobo10b3o2bobo$11b2o7bo4bo2bo$12b
2o5b2o2b2o5bob2o$15bo2bo4bo7b2o$13bobo2b3o$15bo3bo$10b2obo$11b2o!

P22 (completion of the P22+)

Code: Select all

x = 52, y = 52, rule = B3/S23-a5
32bo$31bobo$20bo10bo2bo$19bobo10b2o$18bo2bo$19b2o6b3o$27bo$23bo2b2o$23b
o5bo$23b3o3b3o$25bo5bo$27b2o2bo$27bo$14bo10b3o6b2o$13bobo17bo2bo$2bo10b
o2bo4b2o10bobo$bobo10b2o4bo2bo10bo$o2bo17bobo$b2o3bo15bo$6b2o2b4o$6bo
3bobo$6b3obo13b2o$22bo2bo$8bob3o9bo2bo$6bobo3bo8b2obo$5b4o2b2o34bo$12b
o3b2o10b3o15bobo$15bo2bo8bo2bo4bo10bo2bo$3b2o10bobo16bobo10b2o$2bo2bo
10bo10b3o3bo2bo$3bobo21bo6b2o6b3o$4bo37bo$38bo2b2o$24bo13bo5bo$23bobo
12b3o3b3o$12bo10bo2bo13bo5bo$11bobo10b2o16b2o2bo$10bo2bo28bo$11b2o3bo
23b3o6b2o$16b2o2b4o24bo2bo$16bo3bobo13b2o10bobo$16b3obo14bo2bo10bo$36b
obo$18bob3o14bo$16bobo3bo$15b4o2b2o$22bo3b2o$25bo2bo$13b2o10bobo$12bo
2bo10bo$13bobo$14bo!

P24

Code: Select all

x = 59, y = 35, rule = B3/S23-a5
4b28o$4b28o$4b28o$4b28o$4o28b4o$4o28b4o$4o28b4o$4o28b4o$4b28o$4b28o$4b
28o$4b28o12$27b28o$27b28o$27b28o$19bo7b28o$18b3o2b4o28b4o$17bo2bo2b4o
28b4o$18b2o3b4o28b4o$23b4o28b4o$27b28o$27b28o$27b28o$27b28o!

P32; P16 and P32 supports interchangeable

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x = 33, y = 15, rule = B3/S23-a5
4b2o$5bo$bo$bo4bo$5b2o17b2o$5bobo16bobo$3b2o21bo2bo$obo22b2obobo$b2o8b
o5bo6bobob2o$bo4bo3b3o3b3o3b2ob3o$6bob2o9b2ob2obob5o$2bo5bo2bo5bo2bo3b
ob2obo2bo$2b2o4b5o3b5o4bo2bo2b2o$26b2o$26b2o!

Partials:

P44 rotator; P4 could work but a custom sparker is needed

Code: Select all

x = 13, y = 13, rule = B3/S23-a5
4b2o3$4bo$o2bobo$ob2obo3bo$2b3o3b3o$3bo3bob2obo$7bobo2bo$8bo3$7b2o!

P68 flipper; likely impossible

Code: Select all

x = 15, y = 18, rule = B3/S23-a5
$5b2o$4b2o$4bobo$4bo2bo$3b2obo2bo$bobo3b3o$bo2b2obobo$4bobob2o2bo$4b3o
3bobo$4bo2bob2o$6bo2bo$7bobo$8b2o$7b2o!

P10; the sparks are close together so not sure if possible

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x = 9, y = 15, rule = B3/S23-a5
2$6bo$4b2ob2o$4b2ob2o$4b2o2bo$2bo3b2o3$2bo3b2o$4b2o2bo$4b2ob2o$4b2ob2o
$6bo!

P22+; 2 ways shown

Code: Select all

x = 50, y = 46, rule = B3/S23-a5
7b2o5b2o2$5b2o9b2o$4bo2bo7bo2bo$3bo2b2o7b2o2bo$2bo17bo$2bobo13bobo$o2b
2o13b2o2bo$o21bo6$o21bo$o2b2o13b2o2bo$2bobo13bobo$2bo17bo$3bo2b2o7b2o
2bo$4bo2bo7bo2bo$5b2o9b2o2$7b2o5b2o9$b2o40bo$42bo$3b2o35bo3b2o$2bo2bo
33bob3o$2b2o2bo10b2o2bobo3bo7bo3bo2bo4bo$7bo10bo2bobo4bo8bobo2bo4bo$5b
obo10bo2b3ob5o5bobo8bo2bo$5b2o2bo8bo4bo4bo8bo6b3obo$9bo7b3o3bo3bo7bo10b
o$47bo$44b3o2$42b3o2$41bobobo!

Edit: reorganized everything
Edit 2: added more

[PK22]

Tiny p5 I have no clue how we missed:

Code: Select all

x = 8, y = 14, rule = B3/S23-a5
b2o$bo4b2o$2b3o2bo$4b2o2$4bo$4bo$4bo$4bo2$3b2o$bo2b3o$b2o4bo$6b2o!

A synthesis should be easy; the Carrier siamese eater tail is pretty common, and there should be an edgeshot synthesis somewhere on Catagolue.

Cool p4 T-nose:

Code: Select all

x = 12, y = 12, rule = B3/S23-a5
2bo$2bo$b3o4b2o$4bo2bobo$3obo2bo$b2obo2bo2bo$b2ob4obobo$4bo2bo2bo$bo2b
o2bo$obobo2bobo$b3o4b2o$2bo!

[ThePlayzr]

Cool p4 T-nose:

Code: Select all

x = 12, y = 12, rule = B3/S23-a5
2bo$2bo$b3o4b2o$4bo2bobo$3obo2bo$b2obo2bo2bo$b2ob4obobo$4bo2bo2bo$bo2b
o2bo$obobo2bobo$b3o4b2o$2bo!

Much smaller:

Code: Select all

x = 7, y = 12, rule = B3/S23-a5
2bo$2bo$b3o$4bo$3ob3o$b2obobo$b2obo$4bobo$bo2b3o$obobo$b3o$2bo!

[hotcrystal0]

Tiny p5 I have no clue how we missed:

Code: Select all

x = 8, y = 14, rule = B3/S23-a5
b2o$bo4b2o$2b3o2bo$4b2o2$4bo$4bo$4bo$4bo2$3b2o$bo2b3o$b2o4bo$6b2o!

This implies a new catalyst (and a variation of it):

Code: Select all

x = 20, y = 28, rule = B3/S23-a5
2o10b2o$o4b2o5bo4b2o$b3o2bo6b3o2bo$3b2o10b2o3$2b3o9b3o$14b3o2$15b3o$17b
o5$bo11bo$obo9bobo$b2o10b2o$6b2o10b2o$b4o2bo5b4o2bo$bo2b2o7bo2b2o3$4b
o10b3o$3b3o8b2o$4bo$5bo7bo$4bo8b2o!

[hotcrystal0]

I think we should look into hybrids for partials. For example, these known P68, P60, and P114 flipper partials all have the exact same spacing and lead to the exact same region being created:

Code: Select all

x = 43, y = 22, rule = B3/S23-a5History
31.E.2E$33.2E$32.E$35.A$4.2A13.2E15.A$3.2A29.A$3.A.A14.2A11.A2.2A$3.A
2.A12.A2.A11.A2.A$2.2A.C2.A10.ACA11.A2.D2.2A$E.A.2DC2A10.DCD10.A2.2DC
A.A$E2.AC.A.A10.D12.2A.D.A3.A$3.A.A.CA2.E10.D9.A3.A.D.2A$3.2AC2D.A.E8.
DCD10.A.AC2D2.A$3.A2.C.2A10.ACA10.2A2.D2.A$5.A2.A10.A2.A13.A2.A$6.A.A
11.2A14.2A2.A$7.2A30.A$6.2A13.2E14.A$38.A$41.E$39.2E$39.2E.E!

By combining them in pairs, we get P64, P87, and P91 partials.

Code: Select all

x = 63, y = 70, rule = B3/S23-a5History
7.2A21.2E$6.2A$6.A.A20.2A$6.A2.A18.A2.A$5.2A.C2.A8.F8.ACA12.F7.2D2.3D
.D.D$3.E.A.2DC2A8.F8.DCD13.F6.D.D.D3.D.D$3.E2.AC.A.A6.5F8.D10.5F5.2D2.
3D.3D$6.A.A.CA2.E5.F7.D16.F6.D3.D.D3.D$6.2AC2D.A.E5.F7.DCD13.F7.D3.3D
3.D$6.A2.C.2A15.ACA$8.A2.A16.A2.A$9.A.A17.2A$10.2A$9.2A17.2E6$34.2E.E
$34.2E$36.E$33.A$7.2E23.A$34.A$8.2A21.2A2.A$7.A2.A20.A2.A$7.ACA18.2A2.
D2.A$7.DCD8.F9.A.AC2D2.A7.F6.2D2.3D.3D$7.D10.F8.A3.A.D.2A8.F5.D.D.D.D
3.D$10.D5.5F6.2A.D.A3.A5.5F4.2D2.3D3.D$8.DCD7.F8.A2.2DCA.A9.F5.D3.D.D
3.D$8.ACA7.F9.A2.D2.2A8.F6.D3.3D3.D$7.A2.A18.A2.A$8.2A18.A2.2A$29.A$9.
2E20.A$30.A$27.E$28.2E$26.E.2E8$E.2E$2.2E$.E$4.A$5.A25.2A$3.A28.2A$2.
A2.2A24.A.A$3.A2.A23.A2.A$2.A2.D2.2A8.F9.A2.C.2A9.F6.2D2.3D.2D$.A2.2D
CA.A8.F9.2AC2D.A.E8.F5.D.D.D.D2.D$.2A.D.A3.A5.5F7.A.A.CA2.E5.5F4.2D2.
3D2.D$.A3.A.D.2A7.F6.E2.AC.A.A11.F5.D5.D2.D$2.A.AC2D2.A7.F6.E.A.2DC2A
10.F6.D3.3D.3D$2.2A2.D2.A17.2A.C2.A$5.A2.A19.A2.A$5.2A2.A18.A.A$8.A19.
2A$6.A22.2A$7.A$10.E$8.2E$8.2E.E!

While the P87 looks impossible and the P91 looks hard, I was able to find a completion for the P64:

Code: Select all

 x = 66, y = 330, rule = B3/S23-a5
2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o
$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b
64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o
$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b
64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o
$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b
64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o
$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b
64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o
$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b
64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o$2b64o
$2b64o30$12b10o$12b10o$10b2o10b2o20b10o$10b2o10b2o8b2o10b10o$8b2o2b10o
2b2o4b2o2bo7b2o10b2o$8b2o2b10o2b2o4b2ob2o7b2o10b2o$6b2o2b2o10b2o2b2o2b
2ob2o5b2o2b10o2b2o$6b2o2b2o10b2o2b2o4b2o6b2o2b10o2b2o$8b2o2b10o2b2o6b
2o4b2o2b2o10b2o2b2o$8b2o2b10o2b2o5b2ob2o2b2o2b2o10b2o2b2o$10b2o10b2o7b
2ob2o4b2o2b10o2b2o$10b2o10b2o7bo2b2o4b2o2b10o2b2o$12b10o10b2o8b2o10b2o
$12b10o20b2o10b2o$44b10o$44b10o30$64o$64o$64o$64o$64o$64o$64o$64o$64o
$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$
64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o
$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$
64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o
$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$
64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o
$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o$64o!

[PK22]

Every reaction of the form dot+R->another R, from a new search program I'm working on:

Code: Select all

x = 909, y = 207, rule = B3/S23-a5
900bo2b4o$204bo100bo97bo2bo96bo2bo96bo2bo93bob6o94b6o94bobo$bob3o97b3o
97b2o97bob2o97b4o93bob3ob2o94b3ob2o94bobob2o94bobob2o93b2obo2b2o$3bo
99bo98bo2bo96bo2bobo94bo3bo95bo3bo93bobo3bo95bob4o92bobob4o96bo$3b2o
96bob2o98b2o98b2o98b2o98bo99bo301b2o$406bo$202bo92$703bo100bo$101bo
100b2o98b2o$3b4o96b4o95b2o98b2o99bo97bob2o98b2o98b2o98b2o100bo$2bobo
97bobo98bo99bo99b2o98bobo95bobobo97bobo97bobo98bobo$b2obo2b2o92b2obo2b
2o94bobo97bobo95bo2b2o99bo99bo99bo99bo97bo3bo$4bo99bo98bo2bo96bo2bo97b
o101bo99bo99bo99bo97bo2bo$o4b2o98b2o96b4o96b4o96b2ob2o96bo99bo99bo99bo
97bo2b2o$205bo99bo97b5o$202bo100bo200b3o97b3o97b3o97b3o92$105bo98bobo
97bobo$103bobobo96b2obo96b2obo$4b3o95bo3b2o98b3o97b3o$3b2ob2o100bo92b
2o3bo94b2o3bo$3bo3bo93b2o3bo95bo99bo$3b2o2bo95bobo95bob2o96bob2o$bo2b
3o95b2o98b2o98b2o$104bobo96bobo97bo$305bo!

EDIT: All reactions with a domino:

Code: Select all

x = 909, y = 409, rule = B3/S23-a5
305b2o$206b2o$305bo99bo97bo2bo96bo2bo96bo2bo92b2ob6o94b6o$2ob3o97b3o
97b3o96bob2o96bob2o93b2ob3ob2o94b3ob2o94b3ob2o94bobob2o94bobob2o$3bo
99bo99bo98bo2bo96bo2bob2o93bo3bo92b2obo3bo95bo3bo95bob4o91b2obob4o$3b
2o95b2ob2o98b2o98b2o98b2o98bo99bo99bo$706b2o91$904b2o2$304b2o199bo99bo
98bobo97bobo97bobo$503bobobo95bobobo91b2o3b2obo96b2obo96b2obo$3bo96b2o
b2o98b2o98b2o99b3o95bo3b2o94bo3b2o98b3o97b3o97b3o$3b2o98bobo94b2obobo
97bobo97b2ob2o100bo99bo92b2o3bo94b2o3bo94b2o3bo$2o2b2o99bo99bo98b3o96b
o3bo93b2o3bo94b2o3bo95bo99bo99bo$4bo101bo99bo98bo97b2o2bo95bobo97bobo
3b2o90bob2o96bob2o96bob2o$3b2ob2o96bo99bo195b2o2b3o95b2o98b2o98b2o98b
2o98b2o$3b5o296bo199bo99bo98bo99bo99bo$104b3o97b3o98bo$305bo199b2o296b
2o91$4bobo97bobo$4b2obo96b2obo493bo$6b3o97b3o492bo$b2o3bo94b2o3bo398bo
bo95bo2bo93bob6o94b6o94b6o$2bo99bo98bob3o97b3o97b3o96bob2obo94b3ob2o
92bobobob2o92bobobob2o94bobob2o$bob2o96bob2o96bobo97bobo99bo98bo2bo96b
o3bo95bob4o92bobob4o92bobob4o$2b2o98b2o99b2o96bob2o98b2o98b2o98bo296bo
$3bob2o96bo302bo$105b2o299bo91$703bo100bo$405bo297bo100bo$199bo4b2o97b
o99bobo96b2o102bo300bo$3b4o96b4o92bo3b3o94bob2o98b2o98b2o99bo2bo96b2o
98b2o98b2o2bo$2bobo97bobo96b2o3b2o92bo5bo99bo96bo99b2o98bobo97bobo97bo
bo$b2obo2b2o92b2obo2b2o92b2ob2o98bo99bo98bobo98b2o99bo99bo99bo$4bo99bo
98b2ob2o94b2o2bo95b2o2bo96bo2bo97bo101bo99bo99bo$o4b2o95bo2b2o98bo98b
3o97b3o96b4o96b2ob2o96bo99bo99bo$o101bo402bo97b5o$502bo201b3o97b3o97b
3o$502bo93$3b2o$bobobo$bo2b3o$5bo2$4bo$5bo$5bo!

[hotcrystal0]

P32 wing hassler, found by hand and not using any search programs:

Code: Select all

x = 21, y = 23, rule = B3/S23-a5
b4o$b4o$b4o$b4o$b4o$b4o12bo$b4o12b3o$b4o15bo$17b3o$16bo$9bo5bobo$3b2o
3bobo5b2o$3bobo2bo2bo$4bo4b3o$b3o6bo$o15b4o$b3o12b4o$3bo12b4o$16b4o$16b
4o$16b4o$16b4o$16b4o!

The population can be reduced by replacing the P4 sparkers with the small P32, but that version isn’t as neat-looking.

[I6_I6]

Every reaction of the form dot+R->another R, from a new search program I'm working on:

Code: Select all

x = 909, y = 207, rule = B3/S23-a5
900bo2b4o$204bo100bo97bo2bo96bo2bo96bo2bo93bob6o94b6o94bobo$bob3o97b3o
97b2o97bob2o97b4o93bob3ob2o94b3ob2o94bobob2o94bobob2o93b2obo2b2o$3bo
99bo98bo2bo96bo2bobo94bo3bo95bo3bo93bobo3bo95bob4o92bobob4o96bo$3b2o
96bob2o98b2o98b2o98b2o98bo99bo301b2o$406bo$202bo92$703bo100bo$101bo
100b2o98b2o$3b4o96b4o95b2o98b2o99bo97bob2o98b2o98b2o98b2o100bo$2bobo
97bobo98bo99bo99b2o98bobo95bobobo97bobo97bobo98bobo$b2obo2b2o92b2obo2b
2o94bobo97bobo95bo2b2o99bo99bo99bo99bo97bo3bo$4bo99bo98bo2bo96bo2bo97b
o101bo99bo99bo99bo97bo2bo$o4b2o98b2o96b4o96b4o96b2ob2o96bo99bo99bo99bo
97bo2b2o$205bo99bo97b5o$202bo100bo200b3o97b3o97b3o97b3o92$105bo98bobo
97bobo$103bobobo96b2obo96b2obo$4b3o95bo3b2o98b3o97b3o$3b2ob2o100bo92b
2o3bo94b2o3bo$3bo3bo93b2o3bo95bo99bo$3b2o2bo95bobo95bob2o96bob2o$bo2b
3o95b2o98b2o98b2o$104bobo96bobo97bo$305bo!

EDIT: All reactions with a domino:

Code: Select all

x = 909, y = 409, rule = B3/S23-a5
305b2o$206b2o$305bo99bo97bo2bo96bo2bo96bo2bo92b2ob6o94b6o$2ob3o97b3o
97b3o96bob2o96bob2o93b2ob3ob2o94b3ob2o94b3ob2o94bobob2o94bobob2o$3bo
99bo99bo98bo2bo96bo2bob2o93bo3bo92b2obo3bo95bo3bo95bob4o91b2obob4o$3b
2o95b2ob2o98b2o98b2o98b2o98bo99bo99bo$706b2o91$904b2o2$304b2o199bo99bo
98bobo97bobo97bobo$503bobobo95bobobo91b2o3b2obo96b2obo96b2obo$3bo96b2o
b2o98b2o98b2o99b3o95bo3b2o94bo3b2o98b3o97b3o97b3o$3b2o98bobo94b2obobo
97bobo97b2ob2o100bo99bo92b2o3bo94b2o3bo94b2o3bo$2o2b2o99bo99bo98b3o96b
o3bo93b2o3bo94b2o3bo95bo99bo99bo$4bo101bo99bo98bo97b2o2bo95bobo97bobo
3b2o90bob2o96bob2o96bob2o$3b2ob2o96bo99bo195b2o2b3o95b2o98b2o98b2o98b
2o98b2o$3b5o296bo199bo99bo98bo99bo99bo$104b3o97b3o98bo$305bo199b2o296b
2o91$4bobo97bobo$4b2obo96b2obo493bo$6b3o97b3o492bo$b2o3bo94b2o3bo398bo
bo95bo2bo93bob6o94b6o94b6o$2bo99bo98bob3o97b3o97b3o96bob2obo94b3ob2o
92bobobob2o92bobobob2o94bobob2o$bob2o96bob2o96bobo97bobo99bo98bo2bo96b
o3bo95bob4o92bobob4o92bobob4o$2b2o98b2o99b2o96bob2o98b2o98b2o98bo296bo
$3bob2o96bo302bo$105b2o299bo91$703bo100bo$405bo297bo100bo$199bo4b2o97b
o99bobo96b2o102bo300bo$3b4o96b4o92bo3b3o94bob2o98b2o98b2o99bo2bo96b2o
98b2o98b2o2bo$2bobo97bobo96b2o3b2o92bo5bo99bo96bo99b2o98bobo97bobo97bo
bo$b2obo2b2o92b2obo2b2o92b2ob2o98bo99bo98bobo98b2o99bo99bo99bo$4bo99bo
98b2ob2o94b2o2bo95b2o2bo96bo2bo97bo101bo99bo99bo$o4b2o95bo2b2o98bo98b
3o97b3o96b4o96b2ob2o96bo99bo99bo$o101bo402bo97b5o$502bo201b3o97b3o97b
3o$502bo93$3b2o$bobobo$bo2b3o$5bo2$4bo$5bo$5bo!

p12 R hassler:

Code: Select all

x = 34, y = 36, rule = B3/S23-a5
14b10o$14b10o$12b2o10b2o$12b2o10b2o$12b2o10b2o$12b2o10b2o$12b2o10b2o$
12b2o10b2o$14b10o6b4o$14b10o6b4o$30b4o$30b4o$30b4o$30b4o$30b4o$20b2o8b
4o$16o3bo10b4o$16o4b3o7b4o$16o4bo9b4o$16o14b4o$30b4o$30b4o$18b6o6b4o$
18b6o6b4o$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o
$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o$18b6o$18b6o!

[ThePlayzr]

Every reaction of the form dot+R->another R, from a new search program I'm working on:

Code: Select all

x = 909, y = 207, rule = B3/S23-a5
900bo2b4o$204bo100bo97bo2bo96bo2bo96bo2bo93bob6o94b6o94bobo$bob3o97b3o
97b2o97bob2o97b4o93bob3ob2o94b3ob2o94bobob2o94bobob2o93b2obo2b2o$3bo
99bo98bo2bo96bo2bobo94bo3bo95bo3bo93bobo3bo95bob4o92bobob4o96bo$3b2o
96bob2o98b2o98b2o98b2o98bo99bo301b2o$406bo$202bo92$703bo100bo$101bo
100b2o98b2o$3b4o96b4o95b2o98b2o99bo97bob2o98b2o98b2o98b2o100bo$2bobo
97bobo98bo99bo99b2o98bobo95bobobo97bobo97bobo98bobo$b2obo2b2o92b2obo2b
2o94bobo97bobo95bo2b2o99bo99bo99bo99bo97bo3bo$4bo99bo98bo2bo96bo2bo97b
o101bo99bo99bo99bo97bo2bo$o4b2o98b2o96b4o96b4o96b2ob2o96bo99bo99bo99bo
97bo2b2o$205bo99bo97b5o$202bo100bo200b3o97b3o97b3o97b3o92$105bo98bobo
97bobo$103bobobo96b2obo96b2obo$4b3o95bo3b2o98b3o97b3o$3b2ob2o100bo92b
2o3bo94b2o3bo$3bo3bo93b2o3bo95bo99bo$3b2o2bo95bobo95bob2o96bob2o$bo2b
3o95b2o98b2o98b2o$104bobo96bobo97bo$305bo!

EDIT: All reactions with a domino:

Code: Select all

x = 909, y = 409, rule = B3/S23-a5
305b2o$206b2o$305bo99bo97bo2bo96bo2bo96bo2bo92b2ob6o94b6o$2ob3o97b3o
97b3o96bob2o96bob2o93b2ob3ob2o94b3ob2o94b3ob2o94bobob2o94bobob2o$3bo
99bo99bo98bo2bo96bo2bob2o93bo3bo92b2obo3bo95bo3bo95bob4o91b2obob4o$3b
2o95b2ob2o98b2o98b2o98b2o98bo99bo99bo$706b2o91$904b2o2$304b2o199bo99bo
98bobo97bobo97bobo$503bobobo95bobobo91b2o3b2obo96b2obo96b2obo$3bo96b2o
b2o98b2o98b2o99b3o95bo3b2o94bo3b2o98b3o97b3o97b3o$3b2o98bobo94b2obobo
97bobo97b2ob2o100bo99bo92b2o3bo94b2o3bo94b2o3bo$2o2b2o99bo99bo98b3o96b
o3bo93b2o3bo94b2o3bo95bo99bo99bo$4bo101bo99bo98bo97b2o2bo95bobo97bobo
3b2o90bob2o96bob2o96bob2o$3b2ob2o96bo99bo195b2o2b3o95b2o98b2o98b2o98b
2o98b2o$3b5o296bo199bo99bo98bo99bo99bo$104b3o97b3o98bo$305bo199b2o296b
2o91$4bobo97bobo$4b2obo96b2obo493bo$6b3o97b3o492bo$b2o3bo94b2o3bo398bo
bo95bo2bo93bob6o94b6o94b6o$2bo99bo98bob3o97b3o97b3o96bob2obo94b3ob2o
92bobobob2o92bobobob2o94bobob2o$bob2o96bob2o96bobo97bobo99bo98bo2bo96b
o3bo95bob4o92bobob4o92bobob4o$2b2o98b2o99b2o96bob2o98b2o98b2o98bo296bo
$3bob2o96bo302bo$105b2o299bo91$703bo100bo$405bo297bo100bo$199bo4b2o97b
o99bobo96b2o102bo300bo$3b4o96b4o92bo3b3o94bob2o98b2o98b2o99bo2bo96b2o
98b2o98b2o2bo$2bobo97bobo96b2o3b2o92bo5bo99bo96bo99b2o98bobo97bobo97bo
bo$b2obo2b2o92b2obo2b2o92b2ob2o98bo99bo98bobo98b2o99bo99bo99bo$4bo99bo
98b2ob2o94b2o2bo95b2o2bo96bo2bo97bo101bo99bo99bo$o4b2o95bo2b2o98bo98b
3o97b3o96b4o96b2ob2o96bo99bo99bo$o101bo402bo97b5o$502bo201b3o97b3o97b
3o$502bo93$3b2o$bobobo$bo2b3o$5bo2$4bo$5bo$5bo!

P66 R hassler:

Code: Select all

x = 63, y = 28, rule = B3/S23-a5
51b2o$51b2o$49b2o2b2o$10b8o31b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o
2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$4b6o8b6o
23b2o2b2o2b2o$4b6o8b6o17b6o2b2o2b2o2b6o$2b2o6b8o6b2o15b6o2b2o2b2o2b6o
$2b2o6b8o6b2o15b6o2b2o2b2o2b6o$2o2b6o8b6o2b2o4b2o7b6o2b2o2b2o2b6o$2o2b
6o8b6o2b2o3b3o7b6o2b2o2b2o2b6o$2b2o6b8o6b2o3b2o3b2o5b6o2b2o2b2o2b6o$2b
2o6b8o6b2o3b2ob2o7b6o2b2o2b2o2b6o$4b6o8b6o7b2ob2o5b6o2b2o2b2o2b6o$4b6o
8b6o9bo13b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o
2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o31b2o2b2o$49b2o2b
2o$51b2o$51b2o!

Feels reducible.

[hotcrystal0]

p12 R hassler:

Code: Select all

x = 34, y = 36, rule = B3/S23-a5
14b10o$14b10o$12b2o10b2o$12b2o10b2o$12b2o10b2o$12b2o10b2o$12b2o10b2o$
12b2o10b2o$14b10o6b4o$14b10o6b4o$30b4o$30b4o$30b4o$30b4o$30b4o$20b2o8b
4o$16o3bo10b4o$16o4b3o7b4o$16o4bo9b4o$16o14b4o$30b4o$30b4o$18b6o6b4o$
18b6o6b4o$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o
$16b2o6b2o$16b2o6b2o$16b2o6b2o$16b2o6b2o$18b6o$18b6o!

P66 R hassler:

Code: Select all

x = 63, y = 28, rule = B3/S23-a5
51b2o$51b2o$49b2o2b2o$10b8o31b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o
2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$4b6o8b6o
23b2o2b2o2b2o$4b6o8b6o17b6o2b2o2b2o2b6o$2b2o6b8o6b2o15b6o2b2o2b2o2b6o
$2b2o6b8o6b2o15b6o2b2o2b2o2b6o$2o2b6o8b6o2b2o4b2o7b6o2b2o2b2o2b6o$2o2b
6o8b6o2b2o3b3o7b6o2b2o2b2o2b6o$2b2o6b8o6b2o3b2o3b2o5b6o2b2o2b2o2b6o$2b
2o6b8o6b2o3b2ob2o7b6o2b2o2b2o2b6o$4b6o8b6o7b2ob2o5b6o2b2o2b2o2b6o$4b6o
8b6o9bo13b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o
2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o31b2o2b2o$49b2o2b
2o$51b2o$51b2o!

Feels reducible.

Both are known, though the P12 above was a reduction:

p12 R hassler (unfortunately, smaller p6/12 sparkers do not fit):

Code: Select all

x = 42, y = 42, rule = B3/S23-a5
18bo4b2o$18b3o2bobo$21bobo2bo$18b3obobobo$17bo2bobobob2o$16bo2b2ob3o$
17b4o3bo$20b6o$17b2obo$16bo2b2ob2o$15bobo3bo2bo$15bob8o$16bo3b2o$17b3o
bob4o$4bo14bo3bo2bo$2b3o8b2o15b2o$bo5bo5bo7bo7bo2bo3bo$o2b5o2b2obo7bo
6bob2obobobo$3o2bobobobob2o13bobo2bobo2bob2o$3bo3bobobo3bo3b3o5b2o3b2o
2bobobo$2bo4b3o2bob2o3bobo4bo3bo4bob2obo$bob2obo4bo3bo5bo4b2obo2b3o4bo
$bobobo2b2o3b2o11bo3bobobo3bo$2obo2bobo2bobo13b2obobobobo2b3o$4bobobob
2obo6bo7bob2o2b5o2bo$5bo3bo2bo7bo7bo5bo5bo$10b2o15b2o8b3o$15bo2bo3bo
14bo$15b4obob3o$20b2o3bo$17b8obo$17bo2bo3bobo$18b2ob2o2bo$21bob2o$16b
6o$17bo3b4o$17b3ob2o2bo$14b2obobobo2bo$15bobobob3o$15bo2bobo$16bobo2b
3o$17b2o4bo!

EDIT: p66 R hassler:

Code: Select all

x = 63, y = 28, rule = B3/S23-a5
51b2o$51b2o$49b2o2b2o$10b8o31b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o
2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$4b6o8b6o
23b2o2b2o2b2o$4b6o8b6o17b6o2b2o2b2o2b6o$2b2o6b8o6b2o15b6o2b2o2b2o2b6o$
2b2o6b8o6b2o15b6o2b2o2b2o2b6o$2o2b6o8b6o2b2o4b2o7b6o2b2o2b2o2b6o$2o2b
6o8b6o2b2o3b3o7b6o2b2o2b2o2b6o$2b2o6b8o6b2o3b2o3b2o5b6o2b2o2b2o2b6o$2b
2o6b8o6b2o3b2ob2o7b6o2b2o2b2o2b6o$4b6o8b6o7b2ob2o5b6o2b2o2b2o2b6o$4b6o
8b6o9bo13b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o
2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o29b2o2b2o2b2o$10b8o31b2o2b2o$49b2o2b
2o$51b2o$51b2o!

How did you find those?
Also, reduction to the P66 by using P3 block sparkers instead of big Margolus P6s:

Code: Select all

x = 36, y = 9, rule = B3/S23-a5
b3o3b2o18b2o3b3o$ob3ob5o14b5ob3obo$bo5bo2bo14bo2bo5bo$3o8b2o4b2o4b2o8b
3o$4bo6b2o3b3o4b2o6bo$2obobo4bo3b2o3b2o4bo4bobob2o$b2o2b6o3b2ob2o6b6o
2b2o$ob3obo9b2ob2o8bob3obo$b2obob2o10bo9b2obob2o!