## B2ci3aejn/S2-c3-enr4-ait

For discussion of other cellular automata.

### B2ci3aejn/S2-c3-enr4-ait

NOTE: A lot of the work below was done over the discord chat, which you can find here

B2ci3aejn/S2-c3-enr4-ait is a rule first investigated by M. I. Wright and further explored by me and dvgrn. It was originally posted with a period 58 oscillator:
x = 32, y = 7, rule = B2ci3aejn/S2-c3-enr4-ait
5bo13bo5b2obo\$b2o15b2o5bo4bo\$3o4bo9b3o7bob2o\$4bo13b2o11bo\$3o4bo9b3o7bo
b2o\$b2o15b2o5bo4bo\$5bo13bo5b2obo!

Three ships were initially known, but new ones have been discovered. The 3c/14 diagonal seen at the top is called a beetle (or glider, whichever you want):
x = 11, y = 166, rule = B2ci3aejn/S2-c3-enr4-ait
bo\$2b2o\$ob2o6\$2bo\$2b2o2\$b3o\$3o5\$8b2o\$8b2o\$6bo3bo\$obo2b2ob2o\$6bob2o\$o
33\$6bo\$3b3o\$3bobo\$b2o\$bo\$b2o\$o6\$bo2bo\$2o2b2o\$bo\$4b2o\$4b2o\$bo\$2o2b2o\$bo
2bo3\$8b2o\$5bo2b2o\$2bo4bo2bo\$o4bo2b2o\$2bo4bo2bo\$5bo2b2o\$8b2o13\$3bo\$b4o
2\$b5o\$o\$o2b2o\$o2b2o\$o\$b5o2\$b4o\$3bo6\$3bo\$2ob2o\$o\$2b4o\$bo\$2b3o\$2b3o\$bo\$
2b4o\$o\$2ob2o\$3bo16\$3o\$bobo\$bob2o\$o\$bob2o\$bobo\$2bo3\$2bo\$bobo\$bob2o\$o\$bo
b2o\$bobo\$3o4\$o\$b2o\$b3o2\$ob2o\$2bo\$bo!

And then I discovered the 14c/28 wickstrecher using apgsearch:
x = 11, y = 29, rule = B2ci3aejn/S2-c3-enr4-ait
8b2o\$8b2o\$10bo\$6b4o\$5bo4bo\$3b3o2b2o\$3bo4b2o5\$4b2o2b2o\$4b2o2b2o\$3bo6bo\$
4b6o\$3bo6bo\$4b2o2b2o\$4b2o2b2o5\$b2o2bo2b2o\$b2o2bo2b2o\$o9bo\$b9o\$o9bo\$b2o
2bo2b2o\$b2o2bo2b2o!

It's very versatile, as it can bump into things and survive:
x = 24, y = 47, rule = B2ci3aejn/S2-c3-enr4-ait
bobo\$b3o\$o3bo\$b3o\$o3bo\$b3o\$bobo\$16b2o\$16b2o12\$bobo\$b3o\$o3bo\$b3o\$o3bo9b
2o\$b3o10b2o\$bobo14\$bobo16bobo\$b3o16b3o\$o3bo14bo3bo\$b3o16b3o\$o3bo14bo3b
o\$b3o16b3o\$bobo16bobo!

x = 15, y = 16, rule = B2ci3aejn/S2-c3-enr4-ait
bobo\$b3o\$o3bo\$b3o\$o3bo\$b3o\$bobo\$11bo\$10bobo\$9b2ob2o2\$8b7o2\$9b2ob2o\$10b
obo\$11bo!

It can also have multiple wicks via an extension, although when it does it doesn't regenerate:
x = 22, y = 11, rule = B2ci3aejn/S2-c3-enr4-ait
2bobo2bobo2bobo2bobo\$2obob2obob2obob2obob2o\$2obob2obob2obob2obob2o\$3bo
4bo4bo4bo\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$2obob2ob
ob2obob2obob2o\$2obob2obob2obob2obob2o\$2bobo2bobo2bobo2bobo!

Although as it is phase-based, no sawtooth has been constructed. Despite being p14, here is a p100 oscillator:
x = 54, y = 54, rule = B2ci3aejn/S2-c3-enr4-ait
13bobo\$13b3o\$12bo3bo\$13b3o\$12bo3bo\$13b3o\$13bobo6\$2bobo\$2obob2o\$bobobo\$
2obob2o\$2bobo21\$49bobo\$47b2obob2o\$48bobobo\$47b2obob2o\$49bobo6\$38bobo\$
38b3o\$37bo3bo\$38b3o\$37bo3bo\$38b3o\$38bobo!

Other oscillators have also been discovered, here a couple of the small ones:
x = 113, y = 498, rule = B2ci3aejn/S2-c3-enr4-ait
14b2o2b2o2b2o11bo5bo8b2o6b2o5bo2bo5bo3bo3bo3b2o5b2o9b2o\$14b2o2b2o2b2o
11bobo13bo6b2o5b4o2bo2b2obobob2o3bo6b2o9bo\$34bobo4b2o5bo2b2o3bo5bo4bob
3o2bo2bobo2bo2b2o3bo5bobo4b2o\$36bo6bo4b3o5b3ob3o6bo5bobobobo3bo2b3o4b
3o7b2o2b2o\$22b2o19bobo4bob2o4bobo14bo2bo2bo3b2obo7bo6b2obo2bo2bo\$22b2o
27bo33bo9bo2b2o2bo8b2o\$98b2o3b2obo2bo\$105b2o2b2o\$14b2o2b2o2b2o79b2o\$
14b2o2b2o2b2o80bo\$104b2o2\$14b2o\$14b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$
14b2o2b2o2b2o12b2o4b2o3b2o4b5o8b2o5bo\$14b2o2b2o2b2o13bo4bo2bo2bo3bo5bo
3b2o2bo6b2o2b2o\$34bo2b2o5b3o5bobobobo3bo5bo2b2o5bo\$34b3o9bo6bo3bo8b3o
3bob2o\$22b2o12bob2o3bo7bo2bobo2bo4b3o7b2o\$22b2o14b2o3b2o6b2o2bo2b2o4bo
\$72bo\$72b2o\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$22b2o\$22b2o3\$14b2o2b2o2b2o\$
14b2o2b2o2b2o13\$14b2o6b2o19b2o6b2o\$14b2o6b2o12bo7bo6bo\$35b3o3b2ob2o4b
2ob2o\$36bo4b2o10b2o\$14b2o6b2o20b2o4b2o\$14b2o6b2o\$35bobo6b2o4b2o\$35bobo
3b2o10b2o\$14b2o2b2o2b2o17b2ob2o4b2ob2o\$14b2o2b2o2b2o11bobo6bo6bo\$43b2o
6b2o2\$22b2o\$22b2o3\$22b2o\$22b2o13\$14b2o2b2o2b2o13b2o13b2o\$14b2o2b2o2b2o
13b2o13b2o\$40bobo12b2o\$34b2o6b3o9b2o\$14b2o18b2o3b2o3bo12b2o\$14b2o22bo
2bo5b2o6bob2o\$36bobo2bo5b2o5b2o\$39b2o9bo2bo2bo\$14b2o2b2o2b2o12b2o11b2o
b2o2bo\$14b2o2b2o2b2o13bo11bo4b2o\$37b2o12b2o\$51b2o\$22b2o\$22b2o3\$14b2o2b
2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o28b2o5b2o\$14b2o2b2o2b2o12b2o4bo9b
2o5b2o\$35b3o3b2o12bobo\$41bob2o9bo3bo\$14b2o18b3o4b2o2bo7bobobobo\$14b2o
18b2o6bo2b3o5bo5bo\$39b2o6bo5bo5bo\$39b2o10b2o7b2o\$14b2o2b2o2b2o27bo9bo\$
14b2o2b2o2b2o26b2o9b2o3\$14b2o6b2o\$14b2o6b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b
2o13\$14b2o2b2o2b2o20b2o2b2o\$14b2o2b2o2b2o13bo6b2o2b2o\$36b2o3b2o8b2o\$
38bo2bo2bo4bo2bo\$22b2o11b2o6b2o4b2o\$22b2o22b2o\$36bo9b2o\$36bo\$22b2o\$22b
2o11b2o\$38bo\$36b2o\$22b2o13bo\$22b2o3\$22b2o\$22b2o13\$14b2o2b2o2b2o14b2o8b
2o7b2o\$14b2o2b2o2b2o14b2o4b2o2b2o2b3o2b2o\$37bo2bo3b2o5bo3bo\$34b2o2b2o
10bobobobo\$14b2o6b2o10b2o2b2o17bo\$14b2o6b2o13bo2bo3b2o4bobobobo\$38b2o
4b2o5bo3bo\$38b2o8b2o2b3o2b2o\$14b2o2b2o2b2o24b2o7b2o\$14b2o2b2o2b2o3\$14b
2o6b2o\$14b2o6b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$8b2o4b2o2b2o2b2o10b2o\$
8b2o4b2o2b2o2b2o10b2o7b2o\$38bo4b2o\$36bob2o\$8b2o4b2o6b2o\$8b2o4b2o6b2o
12bob2o\$38bo4b2o\$34b2o7b2o\$8b2o4b2o6b2o10b2o\$8b2o4b2o6b2o3\$8b2o4b2o6b
2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$16b2o4b2o\$16b2o4b
2o30bo\$36bobobo14bo\$41b2o9bo2b3o\$16b2o4b2o12bo2b2obo9b2o3bo\$16b2o4b2o
14b3o9b2o2b2o\$36bob2o11bo2b2o\$37bo10bo3b2o\$16b2o4b2o13b2o10b2ob2o\$16b
2o4b2o26bo\$50b2o2\$16b2o4b2o\$16b2o4b2o3\$16b2o4b2o\$16b2o4b2o13\$8b2o4b2o
2b2o2b2o10b2o5b2o2b2o13b2o\$8b2o4b2o2b2o2b2o10b2o5b2o2b2o13b2o\$37bo12bo
5bo\$36b2o12b2o3b2o\$8b2o12b2o13b2o10b2o5b2o\$8b2o12b2o12b2o12b2o3b2o\$37b
o12bo5bo\$34b2o5b2o2b2o13b2o\$8b2o4b2o2b2o2b2o10b2o5b2o2b2o13b2o\$8b2o4b
2o2b2o2b2o3\$8b2o4b2o\$8b2o4b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o
2b2o2b2o4b2o2b2o2b2o10b2o16b2o\$2o2b2o2b2o4b2o2b2o2b2o10b2o16b2o\$38b2o
8b2o\$39bo8bo\$8b2o4b2o6b2o16bo6bo\$8b2o4b2o6b2o15bo8bo\$38b2o8b2o\$34b2o
16b2o\$2o2b2o2b2o4b2o6b2o10b2o16b2o\$2o2b2o2b2o4b2o6b2o3\$2o12b2o6b2o\$2o
12b2o6b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o
4b2o2b2o2b2o25b2o\$2o2b2o2b2o4b2o2b2o2b2o10b2o13b2o13b2o\$34b2o28b2o\$38b
o22bo\$8b2o12b2o12bob2o20b2obo\$8b2o12b2o\$36bob2o20b2obo\$38bo22bo\$2o2b2o
2b2o12b2o10b2o28b2o\$2o2b2o2b2o12b2o10b2o13b2o13b2o\$49b2o2\$8b2o12b2o\$8b
2o12b2o3\$2o2b2o2b2o12b2o\$2o2b2o2b2o12b2o13\$2o6b2o4b2o2b2o2b2o10b2o9b2o
\$2o6b2o4b2o2b2o2b2o10b2o9b2o\$43bo\$43b2o\$2o6b2o4b2o6b2o\$2o6b2o4b2o6b2o
19b2o\$43bo\$34b2o9b2o\$2o2b2o2b2o4b2o6b2o10b2o9b2o\$2o2b2o2b2o4b2o6b2o3\$
8b2o4b2o6b2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o6b2o
4b2o2b2o2b2o\$2o6b2o4b2o2b2o2b2o\$34b2o15b2o2b2o20bo\$34b2o15b2o2b2o20b3o
\$2o6b2o4b2o23bo19bo2bo16bo\$2o6b2o4b2o23b2o17b2o2b2o\$38b2o\$39b2o17b2o2b
2o\$2o2b2o2b2o4b2o2b2o2b2o15bo19bo2bo16bo\$2o2b2o2b2o4b2o2b2o2b2o10b2o
15b2o2b2o20b3o\$34b2o15b2o2b2o20bo2\$8b2o12b2o\$8b2o12b2o3\$8b2o4b2o2b2o2b
2o\$8b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o31bo\$2o2b2o2b2o4b2o2b2o2b
2o\$49b2o3bo\$45bo8bo2bo2bo\$2o12b2o6b2o20bobo8bo3b2obo\$2o12b2o6b2o19b2ob
2o7bo4b3o\$57bo5bo\$43b2ob2o7bo4b3o\$2o2b2o2b2o4b2o2b2o2b2o20bobo8bo3b2ob
o\$2o2b2o2b2o4b2o2b2o2b2o21bo8bo2bo2bo\$49b2o3bo2\$8b2o4b2o6b2o31bo\$8b2o
4b2o6b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b
2o2b2o2b2o10b2o\$2o2b2o2b2o4b2o2b2o2b2o10b2o\$44b3o\$44b2o\$8b2o12b2o19bo\$
8b2o12b2o20b7o\$43bo\$44b2o\$8b2o4b2o2b2o2b2o20b3o\$8b2o4b2o2b2o2b2o10b2o
30b2o\$34b2o30b2o2\$8b2o4b2o\$8b2o4b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o
13\$8b2o2b2o2b2o4b2o\$8b2o2b2o2b2o4b2o\$34b2o42b2o\$34b2o42b2o\$8b2o6b2o4b
2o15b2o32b2o\$8b2o6b2o4b2o15b2o32b2o\$38bo2bo30bo2bo\$39b2o32b2o\$8b2o2b2o
2b2o4b2o15b2o32b2o\$8b2o2b2o2b2o4b2o10b2o42b2o\$34b2o42b2o2\$8b2o6b2o4b2o
\$8b2o6b2o4b2o3\$8b2o2b2o2b2o4b2o\$8b2o2b2o2b2o4b2o!

There's also two bigger shuttles, of periods 200 and 508:
x = 148, y = 31, rule = B2ci3aejn/S2-c3-enr4-ait
7bobo\$7b3o\$6bo8b3o\$7b3o\$7bobo\$2o26b2o\$2o26b2o14\$b2o142b2o\$b2o142b2o\$9b
obo\$9b3o\$8bo3bo\$9b3o\$8bo3bo\$9b3o\$9bobo\$2o144b2o\$2o144b2o!

Here's a collection of all syntheses that come from 2 of those beetle gliders, excluding 'nothing' and block syntheses as they are too plentiful. Surprisingly, 9 of the 2b synths create the 8c/16:
x = 98, y = 677, rule = B2ci3aejn/S2-c3-enr4-ait
bo10bo13bo19bo14bo9bo9bo9bo\$2b2o9b2o12b2o18b2o13b2o8b2o8b2o8b2o\$ob2o7b
ob2o10bob2o16bob2o11bob2o6bob2o6bob2o6bob2o9\$16bo\$17b2o76bo\$17b2o12bo
40bobo6bo14b2o\$ob2o13bo14b2o6bobo29bob2o6b2o10bob2o\$2b2o28b2o6bob2o11b
obo14bo7bob2o13bo\$bo30bo7bo14bob2o15bo8bo\$42bo12bo\$57bo12\$bo14bo14bo9b
o14bo14bo\$2b2o13b2o13b2o8b2o13b2o13b2o\$ob2o11bob2o11bob2o6bob2o11bob2o
11bob2o8\$24b2o8b2obo\$24b2o8b2o\$26bo9bo43b2obo\$24bo55b2o\$49b2obo29bo\$5b
o43b2o15b2obo\$6b2o43bo14b2o\$4bob2o60bo\$7bo12\$bo19bo19bo19bo\$2b2o18b2o
18b2o18b2o\$ob2o16bob2o16bob2o16bob2o9\$32b2obo\$32b2o\$34bo20b2obo\$55b2o
21b2obo\$14b2obo39bo20b2o\$14b2o64bo\$16bo13\$bo24bo\$2b2o23b2o\$ob2o21bob2o
10\$17b2obo\$17b2o25b2obo\$19bo24b2o\$46bo45\$5bo14bo12bo13bo8bo14bo14bo\$6b
2o13b2o11b2o12b2o7b2o13b2o13b2o\$4bob2o11bob2o9bob2o10bob2o5bob2o11bob
2o11bob2o8\$59b3o\$45b3o11b3o10bo20b2o\$45b3o14bo9b2o19b3o\$48bo11b2o11bo
18bo\$31bo14b2o23b3o\$o15bo13b3o\$b2o12b3o13bo\$b2o13bo14b2o\$bo14b2o12\$bo
19bo19bo19bo14bo\$2b2o18b2o18b2o18b2o13b2o\$ob2o16bob2o16bob2o16bob2o11b
ob2o8\$15b2o35b3o\$15b3o34b3o\$14bo36bo14bobo\$52b2o11b2obo\$34b3o31bo\$34b
3o29bo17bobo\$33bo49b2obo\$34b2o50bo\$84bo12\$bo24bo\$2b2o23b2o\$ob2o21bob2o
9\$19bobo\$18b2obo\$21bo\$19bo27bobo\$46b2obo\$49bo\$47bo43\$bo19bo14bo9bo14bo
19bo\$2b2o18b2o13b2o8b2o13b2o18b2o\$ob2o16bob2o11bob2o6bob2o11bob2o16bob
2o8\$95bobo\$22bo7b3o17bo17bobo23b4o\$21b3o6b3o18b2o14b4o24bo\$5bob2o13bo
10bo15bob2o15bo\$7b2o13b2o7b2o19bo\$6bo15\$bo14bo19bo\$2b2o13b2o18b2o\$ob2o
11bob2o16bob2o12\$28b3o\$10b3o15b3o22b3o\$10b3o14bo25b3o\$9bo18b2o22bo\$10b
2o41b2o42\$4bo11bo\$5b2o10b2o\$3bob2o8bob2o10\$21b2o\$21b2o\$23bo\$bo19bo\$3o\$
bo\$b2o72\$6bo14bo9bo14bo19bo\$7b2o13b2o8b2o13b2o18b2o\$5bob2o11bob2o6bob
2o11bob2o16bob2o9\$25b2o35b2o\$25b3o34b3o\$24bo14b2o20bo24b2o\$39b3o44b3o\$
bo36bo46bo\$2b2o\$ob2o\$3bo42\$bo9bo\$2b2o8b2o\$ob2o6bob2o8\$4b2o\$4b3o\$3bo26b
2o\$30b3o\$29bo46\$bo\$2b2o\$ob2o13\$11b3o\$11b3o\$10bo\$11b2o42\$bo\$2b2o\$ob2o
13\$13b3o\$13b3o\$12bo\$13b2o12\$6bo\$7b2o\$5bob2o11\$3o\$3o\$3bo\$b2o!

There's one 'nothing' synthesis that is interesting, it creates a huge spark and another glider (circled) can be added to make it into a p58. It can be moved around quite a bit, but this is the closest I could find:
x = 21, y = 56, rule = B2ci3aejn/S2-c3-enr4-ait
bo\$2b2o\$ob2o10\$2bo\$3b2o\$bob2o\$4bo15\$15bo\$11bo7bo3\$15bo\$10bo2b2o5bo\$13b
2obo3\$11bo7bo\$bo13bo\$2b2o\$ob2o10\$2bo\$3b2o\$bob2o\$4bo!

Guns are known for the beetle and the 8c/16, here are a couple, found by me, Wright, and dvgrn. Obviously this list isn't exhaustive (EDITed to fix a period, thanks AbhpzTa):
#C Gun collection for 4c/14 gliders and
#C MI=M. I. Wright
#C DG=dvgrn
#C DC=drc
#C --------------------
#C p45: DC DC
#C p58: MI MI DC
#C p90: DC DG
#C p116: MI
#C p270: DG
#C p540: DG
x = 246, y = 520, rule = B2ci3aejn/S2-c3-enr4-ait
14b2o6b2o4b2o2b2o2b2o36b2o5b2o55b2o5b2o\$14b2o6b2o4b2o2b2o2b2o36b2o5b2o
55b2o5b2o\$142bo\$140b2ob2o\$14b2o6b2o4b2o48bo61b2ob2o\$14b2o6b2o4b2o46b2o
b2o61bo\$76b2ob2o61bo\$78bo61b2ob2o\$14b2o2b2o2b2o4b2o2b2o2b2o102b2ob2o\$
14b2o2b2o2b2o4b2o2b2o2b2o104bo3\$22b2o12b2o\$22b2o12b2o3\$22b2o4b2o2b2o2b
2o\$22b2o4b2o2b2o2b2o4\$58b2o58b2o2b2o\$58b2o58b2o2b2o\$63bo62bo2bo\$63b2o
60b2o2b2o24bo\$62b2o90b2o\$63b2o60b2o2b2o\$63bo62bo2bo\$58b2o62b2o\$58b2o
62b2o22\$131b2o\$131b2o\$136b2o\$136b2o\$135bo2bo\$136b2o\$136b2o\$131b2o\$131b
2o10\$155bobo\$154b5o\$156bo3\$152b2o5b2o\$152b2o5b2o45\$14b2o2b2o2b2o4b2o2b
2o2b2o30bo88bo\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo86bob2o\$63bo3bob2o81bo5b
2o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o12b2o6b2o22b3ob2o6b2o6bo68b3o14b
2o2bo2b3o\$14b2o12b2o6b2o28bo2b2o3bo7bo71b2o5bo2b2o10bo\$60b3ob2o6b2o6bo
68b3o14b2o2bo2b3o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o2b2o2b2o4b2o2b2o2b
2o25bo3bob2o19bo2bo58bo5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo20b4o62bob
2o\$68bo25bo62bo\$87b2o2bo\$22b2o4b2o6b2o50bo\$22b2o4b2o6b2o49b3o\$88bo42bo
\$130b2o\$14b2o2b2o2b2o4b2o2b2o2b2o92b2o\$14b2o2b2o2b2o4b2o2b2o2b2o94bo2\$
88bobo149bo\$86b2o3b2o145b2ob2o\$86b2o3b2o146bobo\$88bobo146b3ob3o\$75bo
162bobobo\$77bo\$74b2obo8bobobobo\$75bobo8bo5bo2\$87b2ob2o145bo5bo\$87b2ob
2o143b3o5b3o\$89bo45bo100b2o5b2o\$133b2ob2o\$133bo3bo\$132bo5bo\$133b2ob2o\$
133b2ob2o\$134bobo103bo\$203bob2o30bobob2o\$198bobo4b2o30b3o2bo\$196bobob
2o2bo3b2o\$196b3ob3o5b3o\$195bo19b2o23b3o\$196b3ob3o5b3o\$196bobob2o2bo3b
2o\$198bobo4b2o32bob2o\$203bob2o30bo5bo\$238b2ob2o\$239bobo63\$14b2o2b2o2b
2o4b2o2b2o2b2o10b2o5b2o64b2o5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o10b2o5b2o64b
2o5b2o3\$14b2o6b2o4b2o6b2o14bo72bo\$14b2o6b2o4b2o6b2o12b5o68b5o\$51bobo
70bobo2\$14b2o2b2o2b2o4b2o6b2o10bo7bo\$14b2o2b2o2b2o4b2o6b2o3\$22b2o4b2o
6b2o61b2o\$22b2o4b2o6b2o61b2o\$102b3o\$104bo\$22b2o4b2o2b2o2b2o63bo3bo\$22b
2o4b2o2b2o2b2o66bo\$102b3o\$48b2o49b2o\$48b2o45b2o2b2o\$95b2o\$127b2o\$128bo
\$128b2o\$125bo24b2o5b2o\$123b2o25b2o5b2o\$124bo2bo\$123b2ob2o26bo\$125bo26b
2ob2o\$59bo93bobo\$57b2ob2o91bobo\$57b2ob2o90b2ob2o\$59bo94bo3\$55b2o5b2o\$
55b2o5b2o10\$169b2o\$142bobo24b2o\$140bobobo18bo2bo\$140b3o3bo15b2o2b2o\$
139bo5bo\$140b2o20b2o2b2o\$140b2obo4bo14bo2bo\$143bo2b3o20b2o\$146bo22b2o
5\$16b2o4b2o4b2o2b2o2b2o10b2o\$16b2o4b2o4b2o2b2o2b2o10b2o4bo\$54bo2\$16b2o
4b2o4b2o23b2o\$16b2o4b2o4b2o18b2o3bob2o\$49bo5bo\$49b2o3b2o\$16b2o4b2o4b2o
2b2o2b2o\$16b2o4b2o4b2o2b2o2b2o2\$138b2o\$16b2o4b2o4b2o6b2o100b2o\$16b2o4b
2o4b2o6b2o12b2ob2o\$49bo5bo\$50bo3bo\$16b2o4b2o4b2o2b2o2b2o12b2ob2o\$16b2o
4b2o4b2o2b2o2b2o14bo12\$51bobo\$50b5o2\$50b2ob2o\$50b2ob2o\$52bo26\$2o2b2o2b
2o4b2o2b2o2b2o4b2o2b2o2b2o65b2o5b2o\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o
65b2o5b2o3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o\$107bo2\$2o2b2o2b2o12b2o
4b2o6b2o\$2o2b2o2b2o12b2o4b2o6b2o\$107bo\$105b2ob2o\$2o20b2o4b2o6b2o66bo5b
o21b2o\$2o20b2o4b2o6b2o67b2ob2o22b2o\$106bobo11bobo\$120b3o\$2o2b2o2b2o12b
2o4b2o2b2o2b2o81bo6b3o\$2o2b2o2b2o12b2o4b2o2b2o2b2o82b3o\$120bobo\$132b2o
\$132b2o19\$60b2o5b2o\$60b2o5b2o3\$64bo\$62b5o\$63bobo8\$107bob2o\$107bob2o\$
111bo\$105b2obo\$104bo5bo\$105b2ob2o\$106bobo2\$48b2o46bo123b2o\$48b2o46bo
123b2o\$53b2o43b2o\$53b2o43b2o\$52bo2bo40bo3bo\$53b2o43b2o\$53b2o41bob2o\$
48b2o\$48b2o31\$103b2o5b2o\$103b2o5b2o6\$107bo\$105b2ob2o\$105b2ob2o\$103b2o
2bo2b2o\$103b2ob3ob2o\$122bo9b2o\$122b2o8b2o\$117b2o5bo\$105b2ob2o7b2o5b2o\$
105b2ob2o6bo3b2ob2o\$106bobo8b2o5b2o\$117b2o5bo\$122b2o8b2o\$122bo9b2o19\$
60b2o5b2o\$2o2b2o2b2o4b2o6b2o4b2o2b2o2b2o22b2o2bo2b2o\$2o2b2o2b2o4b2o6b
2o4b2o2b2o2b2o25bobo\$62bo3bo\$62b2ob2o\$2o12b2o6b2o4b2o6b2o26bo\$2o12b2o
6b2o4b2o6b2o\$60bo7bo\$61bo5bo\$2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o\$2o2b2o2b2o
4b2o2b2o2b2o4b2o6b2o22bo7bo3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o3\$2o2b
2o2b2o12b2o4b2o2b2o2b2o\$2o2b2o2b2o12b2o4b2o2b2o2b2o4\$48b2o89bo9b2o\$48b
2o45bo41b2o2bo7b2o\$52bo41bob2o39b2o3bo\$50bob2o40bob3o37bo3bob2o\$50bobo
39bobo\$50bob2o43b2o41bob2o\$52bo44bo42bobo\$48b2o46bo44bo7b2o\$48b2o99b2o
!

Puffers (besides the wickstrecher) are possible, obvious seeing as how the 8c/16 is very sparky. Here's a rake and its 4G synthesis:
x = 37, y = 46, rule = B2ci3aejn/S2-c3-enr4-ait
11bo\$10b2obo\$11b3o\$10bo3bo\$5bo5b3o\$7bo3bobo2\$2bo3bo\$ob2o\$ob7o2bo\$2bo3b
obobobo\$3bobo3b2ob2o2\$8bobob2o\$9b2obo\$9b3o12\$19bo\$18b2o\$18b2o\$20bo\$34b
2o\$24bobo6bo\$23b2obo7b3o\$26bo7b3o\$24bo8\$28b2obo\$28b2o\$30bo!

And a block-puffer:
x = 7, y = 16, rule = B2ci3aejn/S2-c3-enr4-ait
b2o\$o3b2o\$2bob2o\$6bo\$b2ob2o\$b2ob2o4\$3bo\$b2ob2o\$b2ob3o\$bo\$4b3o\$4b2o\$bo!

Also, a straight line is an invincible wall:
x = 165, y = 75, rule = B2ci3aejn/S2-c3-enr4-ait
12bob2o\$14b2o\$12bo3bo\$8bo5b2o\$9b2o3b2o\$9b3o\$11bo\$11bo2\$6b2o5b2o\$5b4o4b
3o\$6b2o\$10b2ob3o10bob2o\$13b2o13b2o\$12bo13bo3bo\$22bo5b2o\$23b2o3b2o\$23b
3o\$25bo\$25bo2\$20b2o5b2o\$19b4o4b3o\$20b2o\$24b2ob3o91bob2o\$27b2o94b2o\$26b
o94bo3bo\$117bo5b2o\$118b2o3b2o\$118b3o\$120bo\$120bo2\$115b2o5b2o\$94bo19b4o
4b3o\$95b3o17b2o\$95b2o22b2ob3o\$122b2o\$121bo2\$73bo\$71bo\$72b2o47bob2o\$72b
3o48b2o\$121bo3bo\$117bo5b2o35bobo\$118b2o3b2o33b2obob2o\$49b2o67b3o38bobo
bo\$50bo69bo37b2obob2o\$49b3o68bo39bobo\$50bo\$115b2o5b2o\$94bo19b4o4b3o\$
95b3o17b2o\$26b3o66b2o22b2ob3o\$26bo95b2o\$26b2o93bo\$27bo\$73bo\$71bo49bo\$
72b2o48b2o\$3b2o67b3o44b2ob3o\$3b2obo65bobo\$2ob2obo9b2o14b2o14b2o14b2o6b
2o6b2o6b2o6b2o6b2o6b2o3bo4b3o\$2o3bo10b2o14b2o14b2o14b2o6b2o6b2o6b2o6b
2o6b2o6b2o2b3o3b2o\$117bobo2\$117bo\$116bo\$116b2o4bobo\$116b3o3b3o\$125bo\$
122b3o\$122bobo\$122bo!
[code]x = 30, y = 29, rule = B2ci3aejn/S2-c3-enr4-ait
b28o\$o28bo\$o28bo\$o5bo4bo17bo\$o4bobo2bobo16bo\$o3b2obo2bob2o15bo\$o7b2o
19bo\$o3b2obo2bob2o15bo\$o4bobo2bobo16bo\$o5bo4bo17bo\$o28bo\$o28bo\$o16bo4b
o6bo\$o15bobo2bobo5bo\$o14b2obo2bob2o4bo\$o18b2o8bo\$o14b2obo2bob2o4bo\$o
15bobo2bobo5bo\$o16bo4bo6bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$o
28bo\$o28bo\$b28o!
[/code]

However, no stable endpost is known that makes it impervious to outside attack:
x = 74, y = 54, rule = B2ci3aejn/S2-c3-enr4-ait
2bo4bo6b2o\$bobo2bobo6bo\$2obo2bob2o5b2o\$4b2o11bo\$2obo2bob2o7bo48bo4bo\$b
obo2bobo9b2o45bobo2bobo\$2bo4bo8bobo45b2obo2bob2o\$16b2ob35o14b2o\$18bo
35bo9b2obo2bob2o\$18bo35b3o8bobo2bobo\$18bo37bo9bo4bo\$18bo37b2o\$18bo39bo
\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo
39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$
18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39b
o\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$19b2o
37bo\$20bo37bo\$17bo2b3o35bo\$6bo4bo5b3o2bo35bo\$5bobo2bobo6bo3b35o7bo4bo\$
4b2obo2bob2o5b2o43bobo2bobo\$8b2o53b2obo2bob2o\$4b2obo2bob2o53b2o\$5bobo
2bobo50b2obo2bob2o\$6bo4bo52bobo2bobo\$65bo4bo!

P.S. A name for the 8c/16 and the rule itself would be great.

EDITed to add the fact that the wickstrecher can be extended to have multiple wicks, and four more oscillators
Last edited by drc on October 1st, 2017, 1:01 pm, edited 1 time in total.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

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

### Re: B2ci3aejn/S2-c3-enr4-ait

Good writeup Here are a few more patterns, mostly from my Unrecognized CA post.

From left to right; a 180-degree reflector, related splitter, and doubly-related adjustable gun:
x = 239, y = 99, rule = B2ci3aejn/S2-c3-enr4-ait
4bo69bo69bo\$4bo69bo69bo5\$3bobo67bobo67bobo\$2b2ob2o65b2ob2o65b2ob2o\$2b
2ob2o65b2ob2o65b2ob2o2\$2o5b2o61b2o5b2o61b2o5b2o\$2o5b2o61b2o5b2o61b2o5b
2o\$2bo3bo65bo3bo65bo3bo\$o7bo61bo7bo61bo7bo\$3bobo67bobo67bobo\$2b2ob2o
65b2ob2o65b2ob2o\$b3ob3o63b3ob3o63b3ob3o2\$b3ob3o63b3ob3o63b3ob3o\$3bobo
67bobo67bobo\$2b2ob2o65b2ob2o65b2ob2o\$4bo7bo61bo7bo61bo7bo\$11b2obo66b2o
bo66b2obo2\$11b3o67b3o67b3o23\$75bobo67bobo\$74b2ob2o65b2ob2o\$73bo5bo63bo
5bo\$74b2ob2o65b2ob2o\$76bo69bo4\$76bo69bo9\$75bobo67bobo\$74b5o65b5o\$75b3o
67b3o\$73b2o3b2o63b2o3b2o6\$73b2o3b2o63b2o3b2o\$73bo5bo63bo5bo\$72b2ob3ob
2o61b2ob3ob2o\$75bobo67bobo2\$74bo3bo65bo3bo\$74b2ob2o65b2ob2o\$76bo69bo
10\$225bob2o\$220bobo4b2o\$218bobob2o2bo3b2o\$218b3ob3o5b3o\$217bo19b2o\$
218b3ob3o5b3o\$218bobob2o2bo3b2o\$220bobo4b2o\$225bob2o!

Slightly more flexible splitter, some 90-degree reflectors, and a memory loop from a phase-preserving reflector:
x = 480, y = 239, rule = B2ci3aejn/S2-c3-enr4-ait
356bobo\$356bobo\$356bobo2\$357bo4\$356bobo\$355b2ob2o\$354bo5bo\$354b3ob3o\$
353b2o5b2o\$354bo5bo\$353b2o5b2o2\$355b2ob2o\$355b2ob2o2\$355b2ob2o\$355b2ob
2o\$357bo5\$372bo\$367bo5b2o\$358b3o4bo2b2o3b2o\$359b2o3bo3bobo2bo2bobo\$
361bob2obob3o5b3o\$359bo11bo3bo3bo\$363b2obob3o5b3o\$364bo3bobo2bo2bobo\$
365bo2b2o3b2o\$367bo5b2o\$372bo4\$346bo\$345bob2o\$345bob2o27bo\$347b2o25bo\$
375b2o\$375b2o8\$334b2o\$333b3o\$336bo51bo\$386b4o\$386bobo8\$322bo\$322b2o\$
323bo75b3o\$321b3o\$398bob2o\$400bo8\$308bobo\$308bob2o\$308bo102bo\$310bo
100bob2o\$411b3o8\$297bo\$296b3o\$297bo127bo\$297b2o126b2o\$425b2o\$424bo5\$
272bo\$270b2ob2o\$271bobo\$270b2ob2o8bob2o\$272bo12b2o150b2o\$268b2o5b2o7bo
154bo\$268b3o3b3o159b3o\$267bo9bo158b3o\$272bo\$270b2ob2o\$269bobobobo\$269b
3ob3o\$268bo7bo188bobo\$271bobo191b5o\$269bo5bo183b2ob2o4bobo\$270b2ob2o
184b2ob2o4bob2o5b3o\$271bobo184bo16bo\$451bo7b2ob2o4bob2o5b3o\$253bobo15b
o176bob2o7b2ob2o4bobo\$251b5o13b2o179b2o13b5o\$250bobo4b2ob2o7b2obo176bo
15bobo\$241b3o5b2obo4b2ob2o7bo\$245bo16bo184bobo\$241b3o5b2obo4b2ob2o184b
2ob2o\$250bobo4b2ob2o183bo5bo\$251b5o191bobo\$253bobo188bo7bo\$445b3ob3o\$
445bobobobo\$446b2ob2o\$448bo\$282b3o158bo9bo\$282b3o159b3o3b3o\$281bo154bo
7b2o5b2o\$282b2o150b2o12bo\$434b2obo8b2ob2o\$447bobo\$446b2ob2o\$448bo5\$
296bo\$294b2o\$294b2o126b2o\$295bo127bo\$422b3o\$423bo2\$25b3o169bo\$25b3o
167b2ob2o\$28bo166b2ob2o\$26b2o\$195b5o\$196bobo\$307b3o\$306b2obo100bo\$309b
o102bo\$409b2obo\$410bobo2\$93bobo\$92b2ob2o\$91bo5bo\$39bobo50b2ob2o45bo\$
38b2ob2o50bobo45b3o3bo\$37bo5bo46bobo3bobo39bo3bo4b2o48bo\$38b2ob2o46b4o
3b4o37bobob2o8b2o42b2ob2o120bo\$39bobo48bo7bo37b2ob2o3b2obo3b2o42bo3bo
119b2obo\$36bobo3bobo48bobo53bo3bo40bo5bo196b3o\$35b4o3b4o47bobo40b2ob2o
3b2obo3b2o42b2ob2o119b3o75bo\$36bo7bo92bobob2o8b2o244b2o\$39bobo48b2obob
ob2o39bo3bo4b2o249bo\$39bobo49bo5bo43b3o3bo\$3o91bo47bo\$ob2o32b2obobob2o
\$o36bo5bo48b2ob2o97b2o3b2o\$40bo51b2ob2o97bo5bo\$94bo98b2obobob2o\$38b2ob
2o152b2ob2o44bobo7b2o\$38b2ob2o154bo44bobobobo4b4obobob2o68bobo\$40bo
154b5o42b3ob3o5b2o6b3o66b4o\$195b5o41bo7bo2b10o70bo51bo\$143b2o51bobo43b
3ob3o5b2o6b3o120b3o\$142b3o97bobobobo4b4obobob2o121b2o\$145bo98bobo7b2o
6\$83bo\$84b2o138bobo117b2o\$82bob2o138bob2o116b2o\$85bo92b3o43bo121bo25b
2o\$131bo46b3o45bo117bo27b2obo\$131b2o48bo190b2obo\$132bo46b2o193bo\$130b
3o3\$348bo\$346b2o5bo\$346b2o3b2o2bo\$70b3o140bo128bobo2bo2bobo3bo\$70b3o
139b3o127b3o5b3obob2o\$73bo92bo46bo127bo3bo3bo11bo\$71b2o94b2o44b2o127b
3o5b3obob2obo\$167b2o173bobo2bo2bobo3bo3b2o\$167bo178b2o3b2o2bo4b3o\$346b
2o5bo\$348bo5\$363bo\$361b2ob2o\$361b2ob2o2\$361b2ob2o\$361b2ob2o2\$359b2o5b
2o\$360bo5bo\$359b2o5b2o\$360b3ob3o\$360bo5bo\$361b2ob2o\$362bobo4\$363bo2\$
362bobo\$362bobo\$362bobo!

x = 23, y = 35, rule = B2ci3aejn/S2-c3-enr4-ait
5bo\$3b2ob2o\$4bobo\$3b2ob2o\$5bo\$b2o5b2o\$b3o3b3o\$o9bo\$5bo\$3b2ob2o\$2bobobo
bo\$2b3ob3o\$bo7bo\$4bobo\$2bo5bo\$3b2ob2o\$4bobo2\$8bo\$7b2o\$7bo\$7b3o10\$20bob
o\$19b2obo\$22bo\$20bo!
gamer54657 wrote:God save us all.
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nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

### Re: B2ci3aejn/S2-c3-enr4-ait

drc wrote:The 3c/14 diagonal seen at the top is called a beetle
drc wrote:Guns are known for the beetle and the 8c/16, here are a couple, found by me, Wright, and dvgrn. Obviously this list isn't exhaustive:
#C Gun collection for
4c/14 (typo?) ...
x = 246, y = 520, rule = B2ci3aejn/S2-c3-enr4-ait
14b2o6b2o4b2o2b2o2b2o36b2o5b2o55b2o5b2o\$14b2o6b2o4b2o2b2o2b2o36b2o5b2o
55b2o5b2o\$142bo\$140b2ob2o\$14b2o6b2o4b2o48bo61b2ob2o\$14b2o6b2o4b2o46b2o
b2o61bo\$76b2ob2o61bo\$78bo61b2ob2o\$14b2o2b2o2b2o4b2o2b2o2b2o102b2ob2o\$
14b2o2b2o2b2o4b2o2b2o2b2o104bo3\$22b2o12b2o\$22b2o12b2o3\$22b2o4b2o2b2o2b
2o\$22b2o4b2o2b2o2b2o4\$58b2o58b2o2b2o\$58b2o58b2o2b2o\$63bo62bo2bo\$63b2o
60b2o2b2o24bo\$62b2o90b2o\$63b2o60b2o2b2o\$63bo62bo2bo\$58b2o62b2o\$58b2o
62b2o22\$131b2o\$131b2o\$136b2o\$136b2o\$135bo2bo\$136b2o\$136b2o\$131b2o\$131b
2o10\$155bobo\$154b5o\$156bo3\$152b2o5b2o\$152b2o5b2o45\$14b2o2b2o2b2o4b2o2b
2o2b2o30bo88bo\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo86bob2o\$63bo3bob2o81bo5b
2o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o12b2o6b2o22b3ob2o6b2o6bo68b3o14b
2o2bo2b3o\$14b2o12b2o6b2o28bo2b2o3bo7bo71b2o5bo2b2o10bo\$60b3ob2o6b2o6bo
68b3o14b2o2bo2b3o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o2b2o2b2o4b2o2b2o2b
2o25bo3bob2o19bo2bo58bo5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo20b4o62bob
2o\$68bo25bo62bo\$87b2o2bo\$22b2o4b2o6b2o50bo\$22b2o4b2o6b2o49b3o\$88bo42bo
\$130b2o\$14b2o2b2o2b2o4b2o2b2o2b2o92b2o\$14b2o2b2o2b2o4b2o2b2o2b2o94bo2\$
88bobo149bo\$86b2o3b2o145b2ob2o\$86b2o3b2o146bobo\$88bobo146b3ob3o\$75bo
162bobobo\$77bo\$74b2obo8bobobobo\$75bobo8bo5bo2\$87b2ob2o145bo5bo\$87b2ob
2o143b3o5b3o\$89bo45bo100b2o5b2o\$133b2ob2o\$133bo3bo\$132bo5bo\$133b2ob2o\$
133b2ob2o\$134bobo103bo\$203bob2o30bobob2o\$198bobo4b2o30b3o2bo\$196bobob
2o2bo3b2o\$196b3ob3o5b3o\$195bo19b2o23b3o\$196b3ob3o5b3o\$196bobob2o2bo3b
2o\$198bobo4b2o32bob2o\$203bob2o30bo5bo\$238b2ob2o\$239bobo63\$14b2o2b2o2b
2o4b2o2b2o2b2o10b2o5b2o64b2o5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o10b2o5b2o64b
2o5b2o3\$14b2o6b2o4b2o6b2o14bo72bo\$14b2o6b2o4b2o6b2o12b5o68b5o\$51bobo
70bobo2\$14b2o2b2o2b2o4b2o6b2o10bo7bo\$14b2o2b2o2b2o4b2o6b2o3\$22b2o4b2o
6b2o61b2o\$22b2o4b2o6b2o61b2o\$102b3o\$104bo\$22b2o4b2o2b2o2b2o63bo3bo\$22b
2o4b2o2b2o2b2o66bo\$102b3o\$48b2o49b2o\$48b2o45b2o2b2o\$95b2o\$127b2o\$128bo
\$128b2o\$125bo24b2o5b2o\$123b2o25b2o5b2o\$124bo2bo\$123b2ob2o26bo\$125bo26b
2ob2o\$59bo93bobo\$57b2ob2o91bobo\$57b2ob2o90b2ob2o\$59bo94bo3\$55b2o5b2o\$
55b2o5b2o10\$169b2o\$142bobo24b2o\$140bobobo18bo2bo\$140b3o3bo15b2o2b2o\$
139bo5bo\$140b2o20b2o2b2o\$140b2obo4bo14bo2bo\$143bo2b3o20b2o\$146bo22b2o
5\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o10b2o\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o10b2o
4bo\$54bo2\$8b2o4b2o6b2o4b2o6b2o15b2o\$8b2o4b2o6b2o4b2o6b2o10b2o3bob2o\$
49bo5bo\$49b2o3b2o\$8b2o4b2o6b2o4b2o2b2o2b2o\$8b2o4b2o6b2o4b2o2b2o2b2o2\$
138b2o\$8b2o4b2o6b2o4b2o6b2o100b2o\$8b2o4b2o6b2o4b2o6b2o12b2ob2o\$49bo5bo
\$50bo3bo\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o12b2ob2o\$8b2o4b2o2b2o2b2o4b2o2b2o
2b2o14bo12\$51bobo\$50b5o2\$50b2ob2o\$50b2ob2o\$52bo26\$2o2b2o2b2o4b2o2b2o2b
2o4b2o2b2o2b2o65b2o5b2o\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o65b2o5b2o3\$
8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o\$107bo2\$2o2b2o2b2o12b2o4b2o6b2o\$2o
2b2o2b2o12b2o4b2o6b2o\$107bo\$105b2ob2o\$2o20b2o4b2o6b2o66bo5bo21b2o\$2o
20b2o4b2o6b2o67b2ob2o22b2o\$106bobo11bobo\$120b3o\$2o2b2o2b2o12b2o4b2o2b
2o2b2o81bo6b3o\$2o2b2o2b2o12b2o4b2o2b2o2b2o82b3o\$120bobo\$132b2o\$132b2o
19\$60b2o5b2o\$60b2o5b2o3\$64bo\$62b5o\$63bobo8\$107bob2o\$107bob2o\$111bo\$
105b2obo\$104bo5bo\$105b2ob2o\$106bobo2\$48b2o46bo123b2o\$48b2o46bo123b2o\$
53b2o43b2o\$53b2o43b2o\$52bo2bo40bo3bo\$53b2o43b2o\$53b2o41bob2o\$48b2o\$48b
2o31\$103b2o5b2o\$103b2o5b2o6\$107bo\$105b2ob2o\$105b2ob2o\$103b2o2bo2b2o\$
103b2ob3ob2o\$122bo9b2o\$122b2o8b2o\$117b2o5bo\$105b2ob2o7b2o5b2o\$105b2ob
2o6bo3b2ob2o\$106bobo8b2o5b2o\$117b2o5bo\$122b2o8b2o\$122bo9b2o19\$60b2o5b
2o\$2o2b2o2b2o4b2o6b2o4b2o2b2o2b2o22b2o2bo2b2o\$2o2b2o2b2o4b2o6b2o4b2o2b
2o2b2o25bobo\$62bo3bo\$62b2ob2o\$2o12b2o6b2o4b2o6b2o26bo\$2o12b2o6b2o4b2o
6b2o\$60bo7bo\$61bo5bo\$2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o\$2o2b2o2b2o4b2o2b2o
2b2o4b2o6b2o22bo7bo3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o3\$2o2b2o2b2o
12b2o4b2o2b2o2b2o\$2o2b2o2b2o12b2o4b2o2b2o2b2o4\$48b2o89bo9b2o\$48b2o45bo
41b2o2bo7b2o\$52bo41bob2o39b2o3bo\$50bob2o40bob3o37bo3bob2o\$50bobo39bobo
\$50bob2o43b2o41bob2o\$52bo44bo42bobo\$48b2o46bo44bo7b2o\$48b2o99b2o!

The "p108" is actually p116.

drc wrote:Although as it is phase-based, no sawtooth has been constructed. Despite being p14, here is a p100 oscillator:
x = 54, y = 54, rule = B2ci3aejn/S2-c3-enr4-ait
13bobo\$13b3o\$12bo3bo\$13b3o\$12bo3bo\$13b3o\$13bobo6\$2bobo\$2obob2o\$bobobo\$
2obob2o\$2bobo21\$49bobo\$47b2obob2o\$48bobobo\$47b2obob2o\$49bobo6\$38bobo\$
38b3o\$37bo3bo\$38b3o\$37bo3bo\$38b3o\$38bobo!

Single version:
x = 46, y = 11, rule = B2ci3aejn/S2-c3-enr4-ait
b2o40b2o\$b2o40b2o\$9bobo\$9b3o\$8bo3bo\$9b3o\$8bo3bo\$9b3o\$9bobo\$2o42b2o\$2o
42b2o!

p102:
x = 33, y = 9, rule = B2ci3aejn/S2-c3-enr4-ait
2o29b2o\$2o29b2o\$13bo\$12b2o\$16bo\$12b2o\$13bo\$2o29b2o\$2o29b2o!

p102 beetle gun:
x = 55, y = 45, rule = B2ci3aejn/S2-c3-enr4-ait
46b2o5b2o\$46b2o5b2o5\$24b2o4b2o\$24b2o4b2o\$8b2o13bo8bo6b2o\$8b2o3bo11bo4b
o8b2o\$11b2ob2o\$10b3ob3o\$42b2o\$10b3ob3o25b2o\$11b2ob2o\$8b2o3bo11bo13b2o\$
8b2o13bo9b2o4b2o9bo\$24b2o\$24b2o6b3o\$33bo14b2ob2o\$49bobo9\$31bo\$29bo\$30b
2o14b2o5b2o\$30b3o13b2o5b2o4\$2o29b2o\$2o15bo4bo8b2o\$15b2o6b2o\$14b3o6b3o
2\$14b3o6b3o\$15b2o6b2o\$2o15bo4bo8b2o\$2o29b2o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 473
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan