## 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-ait5bo13bo5b2obo\$b2o15b2o5bo4bo\$3o4bo9b3o7bob2o\$4bo13b2o11bo\$3o4bo9b3o7bob2o\$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-aitbo\$2b2o\$ob2o6\$2bo\$2b2o2\$b3o\$3o5\$8b2o\$8b2o\$6bo3bo\$obo2b2ob2o\$6bob2o\$o33\$6bo\$3b3o\$3bobo\$b2o\$bo\$b2o\$o6\$bo2bo\$2o2b2o\$bo\$4b2o\$4b2o\$bo\$2o2b2o\$bo2bo3\$8b2o\$5bo2b2o\$2bo4bo2bo\$o4bo2b2o\$2bo4bo2bo\$5bo2b2o\$8b2o13\$3bo\$b4o2\$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\$bob2o\$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-ait8b2o\$8b2o\$10bo\$6b4o\$5bo4bo\$3b3o2b2o\$3bo4b2o5\$4b2o2b2o\$4b2o2b2o\$3bo6bo\$4b6o\$3bo6bo\$4b2o2b2o\$4b2o2b2o5\$b2o2bo2b2o\$b2o2bo2b2o\$o9bo\$b9o\$o9bo\$b2o2bo2b2o\$b2o2bo2b2o!`

It's very versatile, as it can bump into things and survive:
`x = 24, y = 47, rule = B2ci3aejn/S2-c3-enr4-aitbobo\$b3o\$o3bo\$b3o\$o3bo\$b3o\$bobo\$16b2o\$16b2o12\$bobo\$b3o\$o3bo\$b3o\$o3bo9b2o\$b3o10b2o\$bobo14\$bobo16bobo\$b3o16b3o\$o3bo14bo3bo\$b3o16b3o\$o3bo14bo3bo\$b3o16b3o\$bobo16bobo!`

`x = 15, y = 16, rule = B2ci3aejn/S2-c3-enr4-aitbobo\$b3o\$o3bo\$b3o\$o3bo\$b3o\$bobo\$11bo\$10bobo\$9b2ob2o2\$8b7o2\$9b2ob2o\$10bobo\$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-ait2bobo2bobo2bobo2bobo\$2obob2obob2obob2obob2o\$2obob2obob2obob2obob2o\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$3bo4bo4bo4bo\$2obob2obob2obob2obob2o\$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-ait13bobo\$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-ait14b2o2b2o2b2o11bo5bo8b2o6b2o5bo2bo5bo3bo3bo3b2o5b2o9b2o\$14b2o2b2o2b2o11bobo13bo6b2o5b4o2bo2b2obobob2o3bo6b2o9bo\$34bobo4b2o5bo2b2o3bo5bo4bob3o2bo2bobo2bo2b2o3bo5bobo4b2o\$36bo6bo4b3o5b3ob3o6bo5bobobobo3bo2b3o4b3o7b2o2b2o\$22b2o19bobo4bob2o4bobo14bo2bo2bo3b2obo7bo6b2obo2bo2bo\$22b2o27bo33bo9bo2b2o2bo8b2o\$98b2o3b2obo2bo\$105b2o2b2o\$14b2o2b2o2b2o79b2o\$14b2o2b2o2b2o80bo\$104b2o2\$14b2o\$14b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o12b2o4b2o3b2o4b5o8b2o5bo\$14b2o2b2o2b2o13bo4bo2bo2bo3bo5bo3b2o2bo6b2o2b2o\$34bo2b2o5b3o5bobobobo3bo5bo2b2o5bo\$34b3o9bo6bo3bo8b3o3bob2o\$22b2o12bob2o3bo7bo2bobo2bo4b3o7b2o\$22b2o14b2o3b2o6b2o2bo2b2o4bo\$72bo\$72b2o\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$22b2o\$22b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o6b2o19b2o6b2o\$14b2o6b2o12bo7bo6bo\$35b3o3b2ob2o4b2ob2o\$36bo4b2o10b2o\$14b2o6b2o20b2o4b2o\$14b2o6b2o\$35bobo6b2o4b2o\$35bobo3b2o10b2o\$14b2o2b2o2b2o17b2ob2o4b2ob2o\$14b2o2b2o2b2o11bobo6bo6bo\$43b2o6b2o2\$22b2o\$22b2o3\$22b2o\$22b2o13\$14b2o2b2o2b2o13b2o13b2o\$14b2o2b2o2b2o13b2o13b2o\$40bobo12b2o\$34b2o6b3o9b2o\$14b2o18b2o3b2o3bo12b2o\$14b2o22bo2bo5b2o6bob2o\$36bobo2bo5b2o5b2o\$39b2o9bo2bo2bo\$14b2o2b2o2b2o12b2o11b2ob2o2bo\$14b2o2b2o2b2o13bo11bo4b2o\$37b2o12b2o\$51b2o\$22b2o\$22b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o28b2o5b2o\$14b2o2b2o2b2o12b2o4bo9b2o5b2o\$35b3o3b2o12bobo\$41bob2o9bo3bo\$14b2o18b3o4b2o2bo7bobobobo\$14b2o18b2o6bo2b3o5bo5bo\$39b2o6bo5bo5bo\$39b2o10b2o7b2o\$14b2o2b2o2b2o27bo9bo\$14b2o2b2o2b2o26b2o9b2o3\$14b2o6b2o\$14b2o6b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o20b2o2b2o\$14b2o2b2o2b2o13bo6b2o2b2o\$36b2o3b2o8b2o\$38bo2bo2bo4bo2bo\$22b2o11b2o6b2o4b2o\$22b2o22b2o\$36bo9b2o\$36bo\$22b2o\$22b2o11b2o\$38bo\$36b2o\$22b2o13bo\$22b2o3\$22b2o\$22b2o13\$14b2o2b2o2b2o14b2o8b2o7b2o\$14b2o2b2o2b2o14b2o4b2o2b2o2b3o2b2o\$37bo2bo3b2o5bo3bo\$34b2o2b2o10bobobobo\$14b2o6b2o10b2o2b2o17bo\$14b2o6b2o13bo2bo3b2o4bobobobo\$38b2o4b2o5bo3bo\$38b2o8b2o2b3o2b2o\$14b2o2b2o2b2o24b2o7b2o\$14b2o2b2o2b2o3\$14b2o6b2o\$14b2o6b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$8b2o4b2o2b2o2b2o10b2o\$8b2o4b2o2b2o2b2o10b2o7b2o\$38bo4b2o\$36bob2o\$8b2o4b2o6b2o\$8b2o4b2o6b2o12bob2o\$38bo4b2o\$34b2o7b2o\$8b2o4b2o6b2o10b2o\$8b2o4b2o6b2o3\$8b2o4b2o6b2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$16b2o4b2o\$16b2o4b2o30bo\$36bobobo14bo\$41b2o9bo2b3o\$16b2o4b2o12bo2b2obo9b2o3bo\$16b2o4b2o14b3o9b2o2b2o\$36bob2o11bo2b2o\$37bo10bo3b2o\$16b2o4b2o13b2o10b2ob2o\$16b2o4b2o26bo\$50b2o2\$16b2o4b2o\$16b2o4b2o3\$16b2o4b2o\$16b2o4b2o13\$8b2o4b2o2b2o2b2o10b2o5b2o2b2o13b2o\$8b2o4b2o2b2o2b2o10b2o5b2o2b2o13b2o\$37bo12bo5bo\$36b2o12b2o3b2o\$8b2o12b2o13b2o10b2o5b2o\$8b2o12b2o12b2o12b2o3b2o\$37bo12bo5bo\$34b2o5b2o2b2o13b2o\$8b2o4b2o2b2o2b2o10b2o5b2o2b2o13b2o\$8b2o4b2o2b2o2b2o3\$8b2o4b2o\$8b2o4b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o10b2o16b2o\$2o2b2o2b2o4b2o2b2o2b2o10b2o16b2o\$38b2o8b2o\$39bo8bo\$8b2o4b2o6b2o16bo6bo\$8b2o4b2o6b2o15bo8bo\$38b2o8b2o\$34b2o16b2o\$2o2b2o2b2o4b2o6b2o10b2o16b2o\$2o2b2o2b2o4b2o6b2o3\$2o12b2o6b2o\$2o12b2o6b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o25b2o\$2o2b2o2b2o4b2o2b2o2b2o10b2o13b2o13b2o\$34b2o28b2o\$38bo22bo\$8b2o12b2o12bob2o20b2obo\$8b2o12b2o\$36bob2o20b2obo\$38bo22bo\$2o2b2o2b2o12b2o10b2o28b2o\$2o2b2o2b2o12b2o10b2o13b2o13b2o\$49b2o2\$8b2o12b2o\$8b2o12b2o3\$2o2b2o2b2o12b2o\$2o2b2o2b2o12b2o13\$2o6b2o4b2o2b2o2b2o10b2o9b2o\$2o6b2o4b2o2b2o2b2o10b2o9b2o\$43bo\$43b2o\$2o6b2o4b2o6b2o\$2o6b2o4b2o6b2o19b2o\$43bo\$34b2o9b2o\$2o2b2o2b2o4b2o6b2o10b2o9b2o\$2o2b2o2b2o4b2o6b2o3\$8b2o4b2o6b2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o6b2o4b2o2b2o2b2o\$2o6b2o4b2o2b2o2b2o\$34b2o15b2o2b2o20bo\$34b2o15b2o2b2o20b3o\$2o6b2o4b2o23bo19bo2bo16bo\$2o6b2o4b2o23b2o17b2o2b2o\$38b2o\$39b2o17b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o15bo19bo2bo16bo\$2o2b2o2b2o4b2o2b2o2b2o10b2o15b2o2b2o20b3o\$34b2o15b2o2b2o20bo2\$8b2o12b2o\$8b2o12b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o31bo\$2o2b2o2b2o4b2o2b2o2b2o\$49b2o3bo\$45bo8bo2bo2bo\$2o12b2o6b2o20bobo8bo3b2obo\$2o12b2o6b2o19b2ob2o7bo4b3o\$57bo5bo\$43b2ob2o7bo4b3o\$2o2b2o2b2o4b2o2b2o2b2o20bobo8bo3b2obo\$2o2b2o2b2o4b2o2b2o2b2o21bo8bo2bo2bo\$49b2o3bo2\$8b2o4b2o6b2o31bo\$8b2o4b2o6b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o10b2o\$2o2b2o2b2o4b2o2b2o2b2o10b2o\$44b3o\$44b2o\$8b2o12b2o19bo\$8b2o12b2o20b7o\$43bo\$44b2o\$8b2o4b2o2b2o2b2o20b3o\$8b2o4b2o2b2o2b2o10b2o30b2o\$34b2o30b2o2\$8b2o4b2o\$8b2o4b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$8b2o2b2o2b2o4b2o\$8b2o2b2o2b2o4b2o\$34b2o42b2o\$34b2o42b2o\$8b2o6b2o4b2o15b2o32b2o\$8b2o6b2o4b2o15b2o32b2o\$38bo2bo30bo2bo\$39b2o32b2o\$8b2o2b2o2b2o4b2o15b2o32b2o\$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-ait7bobo\$7b3o\$6bo8b3o\$7b3o\$7bobo\$2o26b2o\$2o26b2o14\$b2o142b2o\$b2o142b2o\$9bobo\$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-aitbo10bo13bo19bo14bo9bo9bo9bo\$2b2o9b2o12b2o18b2o13b2o8b2o8b2o8b2o\$ob2o7bob2o10bob2o16bob2o11bob2o6bob2o6bob2o6bob2o9\$16bo\$17b2o76bo\$17b2o12bo40bobo6bo14b2o\$ob2o13bo14b2o6bobo29bob2o6b2o10bob2o\$2b2o28b2o6bob2o11bobo14bo7bob2o13bo\$bo30bo7bo14bob2o15bo8bo\$42bo12bo\$57bo12\$bo14bo14bo9bo14bo14bo\$2b2o13b2o13b2o8b2o13b2o13b2o\$ob2o11bob2o11bob2o6bob2o11bob2o11bob2o8\$24b2o8b2obo\$24b2o8b2o\$26bo9bo43b2obo\$24bo55b2o\$49b2obo29bo\$5bo43b2o15b2obo\$6b2o43bo14b2o\$4bob2o60bo\$7bo12\$bo19bo19bo19bo\$2b2o18b2o18b2o18b2o\$ob2o16bob2o16bob2o16bob2o9\$32b2obo\$32b2o\$34bo20b2obo\$55b2o21b2obo\$14b2obo39bo20b2o\$14b2o64bo\$16bo13\$bo24bo\$2b2o23b2o\$ob2o21bob2o10\$17b2obo\$17b2o25b2obo\$19bo24b2o\$46bo45\$5bo14bo12bo13bo8bo14bo14bo\$6b2o13b2o11b2o12b2o7b2o13b2o13b2o\$4bob2o11bob2o9bob2o10bob2o5bob2o11bob2o11bob2o8\$59b3o\$45b3o11b3o10bo20b2o\$45b3o14bo9b2o19b3o\$48bo11b2o11bo18bo\$31bo14b2o23b3o\$o15bo13b3o\$b2o12b3o13bo\$b2o13bo14b2o\$bo14b2o12\$bo19bo19bo19bo14bo\$2b2o18b2o18b2o18b2o13b2o\$ob2o16bob2o16bob2o16bob2o11bob2o8\$15b2o35b3o\$15b3o34b3o\$14bo36bo14bobo\$52b2o11b2obo\$34b3o31bo\$34b3o29bo17bobo\$33bo49b2obo\$34b2o50bo\$84bo12\$bo24bo\$2b2o23b2o\$ob2o21bob2o9\$19bobo\$18b2obo\$21bo\$19bo27bobo\$46b2obo\$49bo\$47bo43\$bo19bo14bo9bo14bo19bo\$2b2o18b2o13b2o8b2o13b2o18b2o\$ob2o16bob2o11bob2o6bob2o11bob2o16bob2o8\$95bobo\$22bo7b3o17bo17bobo23b4o\$21b3o6b3o18b2o14b4o24bo\$5bob2o13bo10bo15bob2o15bo\$7b2o13b2o7b2o19bo\$6bo15\$bo14bo19bo\$2b2o13b2o18b2o\$ob2o11bob2o16bob2o12\$28b3o\$10b3o15b3o22b3o\$10b3o14bo25b3o\$9bo18b2o22bo\$10b2o41b2o42\$4bo11bo\$5b2o10b2o\$3bob2o8bob2o10\$21b2o\$21b2o\$23bo\$bo19bo\$3o\$bo\$b2o72\$6bo14bo9bo14bo19bo\$7b2o13b2o8b2o13b2o18b2o\$5bob2o11bob2o6bob2o11bob2o16bob2o9\$25b2o35b2o\$25b3o34b3o\$24bo14b2o20bo24b2o\$39b3o44b3o\$bo36bo46bo\$2b2o\$ob2o\$3bo42\$bo9bo\$2b2o8b2o\$ob2o6bob2o8\$4b2o\$4b3o\$3bo26b2o\$30b3o\$29bo46\$bo\$2b2o\$ob2o13\$11b3o\$11b3o\$10bo\$11b2o42\$bo\$2b2o\$ob2o13\$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-aitbo\$2b2o\$ob2o10\$2bo\$3b2o\$bob2o\$4bo15\$15bo\$11bo7bo3\$15bo\$10bo2b2o5bo\$13b2obo3\$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: DGx = 246, y = 520, rule = B2ci3aejn/S2-c3-enr4-ait14b2o6b2o4b2o2b2o2b2o36b2o5b2o55b2o5b2o\$14b2o6b2o4b2o2b2o2b2o36b2o5b2o55b2o5b2o\$142bo\$140b2ob2o\$14b2o6b2o4b2o48bo61b2ob2o\$14b2o6b2o4b2o46b2ob2o61bo\$76b2ob2o61bo\$78bo61b2ob2o\$14b2o2b2o2b2o4b2o2b2o2b2o102b2ob2o\$14b2o2b2o2b2o4b2o2b2o2b2o104bo3\$22b2o12b2o\$22b2o12b2o3\$22b2o4b2o2b2o2b2o\$22b2o4b2o2b2o2b2o4\$58b2o58b2o2b2o\$58b2o58b2o2b2o\$63bo62bo2bo\$63b2o60b2o2b2o24bo\$62b2o90b2o\$63b2o60b2o2b2o\$63bo62bo2bo\$58b2o62b2o\$58b2o62b2o22\$131b2o\$131b2o\$136b2o\$136b2o\$135bo2bo\$136b2o\$136b2o\$131b2o\$131b2o10\$155bobo\$154b5o\$156bo3\$152b2o5b2o\$152b2o5b2o45\$14b2o2b2o2b2o4b2o2b2o2b2o30bo88bo\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo86bob2o\$63bo3bob2o81bo5b2o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o12b2o6b2o22b3ob2o6b2o6bo68b3o14b2o2bo2b3o\$14b2o12b2o6b2o28bo2b2o3bo7bo71b2o5bo2b2o10bo\$60b3ob2o6b2o6bo68b3o14b2o2bo2b3o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o2b2o2b2o4b2o2b2o2b2o25bo3bob2o19bo2bo58bo5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo20b4o62bob2o\$68bo25bo62bo\$87b2o2bo\$22b2o4b2o6b2o50bo\$22b2o4b2o6b2o49b3o\$88bo42bo\$130b2o\$14b2o2b2o2b2o4b2o2b2o2b2o92b2o\$14b2o2b2o2b2o4b2o2b2o2b2o94bo2\$88bobo149bo\$86b2o3b2o145b2ob2o\$86b2o3b2o146bobo\$88bobo146b3ob3o\$75bo162bobobo\$77bo\$74b2obo8bobobobo\$75bobo8bo5bo2\$87b2ob2o145bo5bo\$87b2ob2o143b3o5b3o\$89bo45bo100b2o5b2o\$133b2ob2o\$133bo3bo\$132bo5bo\$133b2ob2o\$133b2ob2o\$134bobo103bo\$203bob2o30bobob2o\$198bobo4b2o30b3o2bo\$196bobob2o2bo3b2o\$196b3ob3o5b3o\$195bo19b2o23b3o\$196b3ob3o5b3o\$196bobob2o2bo3b2o\$198bobo4b2o32bob2o\$203bob2o30bo5bo\$238b2ob2o\$239bobo63\$14b2o2b2o2b2o4b2o2b2o2b2o10b2o5b2o64b2o5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o10b2o5b2o64b2o5b2o3\$14b2o6b2o4b2o6b2o14bo72bo\$14b2o6b2o4b2o6b2o12b5o68b5o\$51bobo70bobo2\$14b2o2b2o2b2o4b2o6b2o10bo7bo\$14b2o2b2o2b2o4b2o6b2o3\$22b2o4b2o6b2o61b2o\$22b2o4b2o6b2o61b2o\$102b3o\$104bo\$22b2o4b2o2b2o2b2o63bo3bo\$22b2o4b2o2b2o2b2o66bo\$102b3o\$48b2o49b2o\$48b2o45b2o2b2o\$95b2o\$127b2o\$128bo\$128b2o\$125bo24b2o5b2o\$123b2o25b2o5b2o\$124bo2bo\$123b2ob2o26bo\$125bo26b2ob2o\$59bo93bobo\$57b2ob2o91bobo\$57b2ob2o90b2ob2o\$59bo94bo3\$55b2o5b2o\$55b2o5b2o10\$169b2o\$142bobo24b2o\$140bobobo18bo2bo\$140b3o3bo15b2o2b2o\$139bo5bo\$140b2o20b2o2b2o\$140b2obo4bo14bo2bo\$143bo2b3o20b2o\$146bo22b2o5\$16b2o4b2o4b2o2b2o2b2o10b2o\$16b2o4b2o4b2o2b2o2b2o10b2o4bo\$54bo2\$16b2o4b2o4b2o23b2o\$16b2o4b2o4b2o18b2o3bob2o\$49bo5bo\$49b2o3b2o\$16b2o4b2o4b2o2b2o2b2o\$16b2o4b2o4b2o2b2o2b2o2\$138b2o\$16b2o4b2o4b2o6b2o100b2o\$16b2o4b2o4b2o6b2o12b2ob2o\$49bo5bo\$50bo3bo\$16b2o4b2o4b2o2b2o2b2o12b2ob2o\$16b2o4b2o4b2o2b2o2b2o14bo12\$51bobo\$50b5o2\$50b2ob2o\$50b2ob2o\$52bo26\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o65b2o5b2o\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o65b2o5b2o3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o\$107bo2\$2o2b2o2b2o12b2o4b2o6b2o\$2o2b2o2b2o12b2o4b2o6b2o\$107bo\$105b2ob2o\$2o20b2o4b2o6b2o66bo5bo21b2o\$2o20b2o4b2o6b2o67b2ob2o22b2o\$106bobo11bobo\$120b3o\$2o2b2o2b2o12b2o4b2o2b2o2b2o81bo6b3o\$2o2b2o2b2o12b2o4b2o2b2o2b2o82b3o\$120bobo\$132b2o\$132b2o19\$60b2o5b2o\$60b2o5b2o3\$64bo\$62b5o\$63bobo8\$107bob2o\$107bob2o\$111bo\$105b2obo\$104bo5bo\$105b2ob2o\$106bobo2\$48b2o46bo123b2o\$48b2o46bo123b2o\$53b2o43b2o\$53b2o43b2o\$52bo2bo40bo3bo\$53b2o43b2o\$53b2o41bob2o\$48b2o\$48b2o31\$103b2o5b2o\$103b2o5b2o6\$107bo\$105b2ob2o\$105b2ob2o\$103b2o2bo2b2o\$103b2ob3ob2o\$122bo9b2o\$122b2o8b2o\$117b2o5bo\$105b2ob2o7b2o5b2o\$105b2ob2o6bo3b2ob2o\$106bobo8b2o5b2o\$117b2o5bo\$122b2o8b2o\$122bo9b2o19\$60b2o5b2o\$2o2b2o2b2o4b2o6b2o4b2o2b2o2b2o22b2o2bo2b2o\$2o2b2o2b2o4b2o6b2o4b2o2b2o2b2o25bobo\$62bo3bo\$62b2ob2o\$2o12b2o6b2o4b2o6b2o26bo\$2o12b2o6b2o4b2o6b2o\$60bo7bo\$61bo5bo\$2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o\$2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o22bo7bo3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o3\$2o2b2o2b2o12b2o4b2o2b2o2b2o\$2o2b2o2b2o12b2o4b2o2b2o2b2o4\$48b2o89bo9b2o\$48b2o45bo41b2o2bo7b2o\$52bo41bob2o39b2o3bo\$50bob2o40bob3o37bo3bob2o\$50bobo39bobo\$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-ait11bo\$10b2obo\$11b3o\$10bo3bo\$5bo5b3o\$7bo3bobo2\$2bo3bo\$ob2o\$ob7o2bo\$2bo3bobobobo\$3bobo3b2ob2o2\$8bobob2o\$9b2obo\$9b3o12\$19bo\$18b2o\$18b2o\$20bo\$34b2o\$24bobo6bo\$23b2obo7b3o\$26bo7b3o\$24bo8\$28b2obo\$28b2o\$30bo!`

And a block-puffer:
`x = 7, y = 16, rule = B2ci3aejn/S2-c3-enr4-aitb2o\$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-ait12bob2o\$14b2o\$12bo3bo\$8bo5b2o\$9b2o3b2o\$9b3o\$11bo\$11bo2\$6b2o5b2o\$5b4o4b3o\$6b2o\$10b2ob3o10bob2o\$13b2o13b2o\$12bo13bo3bo\$22bo5b2o\$23b2o3b2o\$23b3o\$25bo\$25bo2\$20b2o5b2o\$19b4o4b3o\$20b2o\$24b2ob3o91bob2o\$27b2o94b2o\$26bo94bo3bo\$117bo5b2o\$118b2o3b2o\$118b3o\$120bo\$120bo2\$115b2o5b2o\$94bo19b4o4b3o\$95b3o17b2o\$95b2o22b2ob3o\$122b2o\$121bo2\$73bo\$71bo\$72b2o47bob2o\$72b3o48b2o\$121bo3bo\$117bo5b2o35bobo\$118b2o3b2o33b2obob2o\$49b2o67b3o38bobobo\$50bo69bo37b2obob2o\$49b3o68bo39bobo\$50bo\$115b2o5b2o\$94bo19b4o4b3o\$95b3o17b2o\$26b3o66b2o22b2ob3o\$26bo95b2o\$26b2o93bo\$27bo\$73bo\$71bo49bo\$72b2o48b2o\$3b2o67b3o44b2ob3o\$3b2obo65bobo\$2ob2obo9b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o3bo4b3o\$2o3bo10b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o2b3o3b2o\$117bobo2\$117bo\$116bo\$116b2o4bobo\$116b3o3b3o\$125bo\$122b3o\$122bobo\$122bo![code]x = 30, y = 29, rule = B2ci3aejn/S2-c3-enr4-aitb28o\$o28bo\$o28bo\$o5bo4bo17bo\$o4bobo2bobo16bo\$o3b2obo2bob2o15bo\$o7b2o19bo\$o3b2obo2bob2o15bo\$o4bobo2bobo16bo\$o5bo4bo17bo\$o28bo\$o28bo\$o16bo4bo6bo\$o15bobo2bobo5bo\$o14b2obo2bob2o4bo\$o18b2o8bo\$o14b2obo2bob2o4bo\$o15bobo2bobo5bo\$o16bo4bo6bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$o28bo\$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-ait2bo4bo6b2o\$bobo2bobo6bo\$2obo2bob2o5b2o\$4b2o11bo\$2obo2bob2o7bo48bo4bo\$bobo2bobo9b2o45bobo2bobo\$2bo4bo8bobo45b2obo2bob2o\$16b2ob35o14b2o\$18bo35bo9b2obo2bob2o\$18bo35b3o8bobo2bobo\$18bo37bo9bo4bo\$18bo37b2o\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$18bo39bo\$19b2o37bo\$20bo37bo\$17bo2b3o35bo\$6bo4bo5b3o2bo35bo\$5bobo2bobo6bo3b35o7bo4bo\$4b2obo2bob2o5b2o43bobo2bobo\$8b2o53b2obo2bob2o\$4b2obo2bob2o53b2o\$5bobo2bobo50b2obo2bob2o\$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-ait4bo69bo69bo\$4bo69bo69bo5\$3bobo67bobo67bobo\$2b2ob2o65b2ob2o65b2ob2o\$2b2ob2o65b2ob2o65b2ob2o2\$2o5b2o61b2o5b2o61b2o5b2o\$2o5b2o61b2o5b2o61b2o5b2o\$2bo3bo65bo3bo65bo3bo\$o7bo61bo7bo61bo7bo\$3bobo67bobo67bobo\$2b2ob2o65b2ob2o65b2ob2o\$b3ob3o63b3ob3o63b3ob3o2\$b3ob3o63b3ob3o63b3ob3o\$3bobo67bobo67bobo\$2b2ob2o65b2ob2o65b2ob2o\$4bo7bo61bo7bo61bo7bo\$11b2obo66b2obo66b2obo2\$11b3o67b3o67b3o23\$75bobo67bobo\$74b2ob2o65b2ob2o\$73bo5bo63bo5bo\$74b2ob2o65b2ob2o\$76bo69bo4\$76bo69bo9\$75bobo67bobo\$74b5o65b5o\$75b3o67b3o\$73b2o3b2o63b2o3b2o6\$73b2o3b2o63b2o3b2o\$73bo5bo63bo5bo\$72b2ob3ob2o61b2ob3ob2o\$75bobo67bobo2\$74bo3bo65bo3bo\$74b2ob2o65b2ob2o\$76bo69bo10\$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-ait356bobo\$356bobo\$356bobo2\$357bo4\$356bobo\$355b2ob2o\$354bo5bo\$354b3ob3o\$353b2o5b2o\$354bo5bo\$353b2o5b2o2\$355b2ob2o\$355b2ob2o2\$355b2ob2o\$355b2ob2o\$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\$310bo100bob2o\$411b3o8\$297bo\$296b3o\$297bo127bo\$297b2o126b2o\$425b2o\$424bo5\$272bo\$270b2ob2o\$271bobo\$270b2ob2o8bob2o\$272bo12b2o150b2o\$268b2o5b2o7bo154bo\$268b3o3b3o159b3o\$267bo9bo158b3o\$272bo\$270b2ob2o\$269bobobobo\$269b3ob3o\$268bo7bo188bobo\$271bobo191b5o\$269bo5bo183b2ob2o4bobo\$270b2ob2o184b2ob2o4bob2o5b3o\$271bobo184bo16bo\$451bo7b2ob2o4bob2o5b3o\$253bobo15bo176bob2o7b2ob2o4bobo\$251b5o13b2o179b2o13b5o\$250bobo4b2ob2o7b2obo176bo15bobo\$241b3o5b2obo4b2ob2o7bo\$245bo16bo184bobo\$241b3o5b2obo4b2ob2o184b2ob2o\$250bobo4b2ob2o183bo5bo\$251b5o191bobo\$253bobo188bo7bo\$445b3ob3o\$445bobobobo\$446b2ob2o\$448bo\$282b3o158bo9bo\$282b3o159b3o3b3o\$281bo154bo7b2o5b2o\$282b2o150b2o12bo\$434b2obo8b2ob2o\$447bobo\$446b2ob2o\$448bo5\$296bo\$294b2o\$294b2o126b2o\$295bo127bo\$422b3o\$423bo2\$25b3o169bo\$25b3o167b2ob2o\$28bo166b2ob2o\$26b2o\$195b5o\$196bobo\$307b3o\$306b2obo100bo\$309bo102bo\$409b2obo\$410bobo2\$93bobo\$92b2ob2o\$91bo5bo\$39bobo50b2ob2o45bo\$38b2ob2o50bobo45b3o3bo\$37bo5bo46bobo3bobo39bo3bo4b2o48bo\$38b2ob2o46b4o3b4o37bobob2o8b2o42b2ob2o120bo\$39bobo48bo7bo37b2ob2o3b2obo3b2o42bo3bo119b2obo\$36bobo3bobo48bobo53bo3bo40bo5bo196b3o\$35b4o3b4o47bobo40b2ob2o3b2obo3b2o42b2ob2o119b3o75bo\$36bo7bo92bobob2o8b2o244b2o\$39bobo48b2obobob2o39bo3bo4b2o249bo\$39bobo49bo5bo43b3o3bo\$3o91bo47bo\$ob2o32b2obobob2o\$o36bo5bo48b2ob2o97b2o3b2o\$40bo51b2ob2o97bo5bo\$94bo98b2obobob2o\$38b2ob2o152b2ob2o44bobo7b2o\$38b2ob2o154bo44bobobobo4b4obobob2o68bobo\$40bo154b5o42b3ob3o5b2o6b3o66b4o\$195b5o41bo7bo2b10o70bo51bo\$143b2o51bobo43b3ob3o5b2o6b3o120b3o\$142b3o97bobobobo4b4obobob2o121b2o\$145bo98bobo7b2o6\$83bo\$84b2o138bobo117b2o\$82bob2o138bob2o116b2o\$85bo92b3o43bo121bo25b2o\$131bo46b3o45bo117bo27b2obo\$131b2o48bo190b2obo\$132bo46b2o193bo\$130b3o3\$348bo\$346b2o5bo\$346b2o3b2o2bo\$70b3o140bo128bobo2bo2bobo3bo\$70b3o139b3o127b3o5b3obob2o\$73bo92bo46bo127bo3bo3bo11bo\$71b2o94b2o44b2o127b3o5b3obob2obo\$167b2o173bobo2bo2bobo3bo3b2o\$167bo178b2o3b2o2bo4b3o\$346b2o5bo\$348bo5\$363bo\$361b2ob2o\$361b2ob2o2\$361b2ob2o\$361b2ob2o2\$359b2o5b2o\$360bo5bo\$359b2o5b2o\$360b3ob3o\$360bo5bo\$361b2ob2o\$362bobo4\$363bo2\$362bobo\$362bobo\$362bobo!`

`x = 23, y = 35, rule = B2ci3aejn/S2-c3-enr4-ait5bo\$3b2ob2o\$4bobo\$3b2ob2o\$5bo\$b2o5b2o\$b3o3b3o\$o9bo\$5bo\$3b2ob2o\$2bobobobo\$2b3ob3o\$bo7bo\$4bobo\$2bo5bo\$3b2ob2o\$4bobo2\$8bo\$7b2o\$7bo\$7b3o10\$20bobo\$19b2obo\$22bo\$20bo!`
gamer54657 wrote:God save us all.
God save humanity.

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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-ait14b2o6b2o4b2o2b2o2b2o36b2o5b2o55b2o5b2o\$14b2o6b2o4b2o2b2o2b2o36b2o5b2o55b2o5b2o\$142bo\$140b2ob2o\$14b2o6b2o4b2o48bo61b2ob2o\$14b2o6b2o4b2o46b2ob2o61bo\$76b2ob2o61bo\$78bo61b2ob2o\$14b2o2b2o2b2o4b2o2b2o2b2o102b2ob2o\$14b2o2b2o2b2o4b2o2b2o2b2o104bo3\$22b2o12b2o\$22b2o12b2o3\$22b2o4b2o2b2o2b2o\$22b2o4b2o2b2o2b2o4\$58b2o58b2o2b2o\$58b2o58b2o2b2o\$63bo62bo2bo\$63b2o60b2o2b2o24bo\$62b2o90b2o\$63b2o60b2o2b2o\$63bo62bo2bo\$58b2o62b2o\$58b2o62b2o22\$131b2o\$131b2o\$136b2o\$136b2o\$135bo2bo\$136b2o\$136b2o\$131b2o\$131b2o10\$155bobo\$154b5o\$156bo3\$152b2o5b2o\$152b2o5b2o45\$14b2o2b2o2b2o4b2o2b2o2b2o30bo88bo\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo86bob2o\$63bo3bob2o81bo5b2o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o12b2o6b2o22b3ob2o6b2o6bo68b3o14b2o2bo2b3o\$14b2o12b2o6b2o28bo2b2o3bo7bo71b2o5bo2b2o10bo\$60b3ob2o6b2o6bo68b3o14b2o2bo2b3o\$61b2ob2o6b2o76b2o14b3o3b2obo\$14b2o2b2o2b2o4b2o2b2o2b2o25bo3bob2o19bo2bo58bo5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o29bobo20b4o62bob2o\$68bo25bo62bo\$87b2o2bo\$22b2o4b2o6b2o50bo\$22b2o4b2o6b2o49b3o\$88bo42bo\$130b2o\$14b2o2b2o2b2o4b2o2b2o2b2o92b2o\$14b2o2b2o2b2o4b2o2b2o2b2o94bo2\$88bobo149bo\$86b2o3b2o145b2ob2o\$86b2o3b2o146bobo\$88bobo146b3ob3o\$75bo162bobobo\$77bo\$74b2obo8bobobobo\$75bobo8bo5bo2\$87b2ob2o145bo5bo\$87b2ob2o143b3o5b3o\$89bo45bo100b2o5b2o\$133b2ob2o\$133bo3bo\$132bo5bo\$133b2ob2o\$133b2ob2o\$134bobo103bo\$203bob2o30bobob2o\$198bobo4b2o30b3o2bo\$196bobob2o2bo3b2o\$196b3ob3o5b3o\$195bo19b2o23b3o\$196b3ob3o5b3o\$196bobob2o2bo3b2o\$198bobo4b2o32bob2o\$203bob2o30bo5bo\$238b2ob2o\$239bobo63\$14b2o2b2o2b2o4b2o2b2o2b2o10b2o5b2o64b2o5b2o\$14b2o2b2o2b2o4b2o2b2o2b2o10b2o5b2o64b2o5b2o3\$14b2o6b2o4b2o6b2o14bo72bo\$14b2o6b2o4b2o6b2o12b5o68b5o\$51bobo70bobo2\$14b2o2b2o2b2o4b2o6b2o10bo7bo\$14b2o2b2o2b2o4b2o6b2o3\$22b2o4b2o6b2o61b2o\$22b2o4b2o6b2o61b2o\$102b3o\$104bo\$22b2o4b2o2b2o2b2o63bo3bo\$22b2o4b2o2b2o2b2o66bo\$102b3o\$48b2o49b2o\$48b2o45b2o2b2o\$95b2o\$127b2o\$128bo\$128b2o\$125bo24b2o5b2o\$123b2o25b2o5b2o\$124bo2bo\$123b2ob2o26bo\$125bo26b2ob2o\$59bo93bobo\$57b2ob2o91bobo\$57b2ob2o90b2ob2o\$59bo94bo3\$55b2o5b2o\$55b2o5b2o10\$169b2o\$142bobo24b2o\$140bobobo18bo2bo\$140b3o3bo15b2o2b2o\$139bo5bo\$140b2o20b2o2b2o\$140b2obo4bo14bo2bo\$143bo2b3o20b2o\$146bo22b2o5\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o10b2o\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o10b2o4bo\$54bo2\$8b2o4b2o6b2o4b2o6b2o15b2o\$8b2o4b2o6b2o4b2o6b2o10b2o3bob2o\$49bo5bo\$49b2o3b2o\$8b2o4b2o6b2o4b2o2b2o2b2o\$8b2o4b2o6b2o4b2o2b2o2b2o2\$138b2o\$8b2o4b2o6b2o4b2o6b2o100b2o\$8b2o4b2o6b2o4b2o6b2o12b2ob2o\$49bo5bo\$50bo3bo\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o12b2ob2o\$8b2o4b2o2b2o2b2o4b2o2b2o2b2o14bo12\$51bobo\$50b5o2\$50b2ob2o\$50b2ob2o\$52bo26\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o65b2o5b2o\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o65b2o5b2o3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o\$107bo2\$2o2b2o2b2o12b2o4b2o6b2o\$2o2b2o2b2o12b2o4b2o6b2o\$107bo\$105b2ob2o\$2o20b2o4b2o6b2o66bo5bo21b2o\$2o20b2o4b2o6b2o67b2ob2o22b2o\$106bobo11bobo\$120b3o\$2o2b2o2b2o12b2o4b2o2b2o2b2o81bo6b3o\$2o2b2o2b2o12b2o4b2o2b2o2b2o82b3o\$120bobo\$132b2o\$132b2o19\$60b2o5b2o\$60b2o5b2o3\$64bo\$62b5o\$63bobo8\$107bob2o\$107bob2o\$111bo\$105b2obo\$104bo5bo\$105b2ob2o\$106bobo2\$48b2o46bo123b2o\$48b2o46bo123b2o\$53b2o43b2o\$53b2o43b2o\$52bo2bo40bo3bo\$53b2o43b2o\$53b2o41bob2o\$48b2o\$48b2o31\$103b2o5b2o\$103b2o5b2o6\$107bo\$105b2ob2o\$105b2ob2o\$103b2o2bo2b2o\$103b2ob3ob2o\$122bo9b2o\$122b2o8b2o\$117b2o5bo\$105b2ob2o7b2o5b2o\$105b2ob2o6bo3b2ob2o\$106bobo8b2o5b2o\$117b2o5bo\$122b2o8b2o\$122bo9b2o19\$60b2o5b2o\$2o2b2o2b2o4b2o6b2o4b2o2b2o2b2o22b2o2bo2b2o\$2o2b2o2b2o4b2o6b2o4b2o2b2o2b2o25bobo\$62bo3bo\$62b2ob2o\$2o12b2o6b2o4b2o6b2o26bo\$2o12b2o6b2o4b2o6b2o\$60bo7bo\$61bo5bo\$2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o\$2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o22bo7bo3\$8b2o12b2o4b2o6b2o\$8b2o12b2o4b2o6b2o3\$2o2b2o2b2o12b2o4b2o2b2o2b2o\$2o2b2o2b2o12b2o4b2o2b2o2b2o4\$48b2o89bo9b2o\$48b2o45bo41b2o2bo7b2o\$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-ait13bobo\$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-aitb2o40b2o\$b2o40b2o\$9bobo\$9b3o\$8bo3bo\$9b3o\$8bo3bo\$9b3o\$9bobo\$2o42b2o\$2o42b2o!`

p102:
`x = 33, y = 9, rule = B2ci3aejn/S2-c3-enr4-ait2o29b2o\$2o29b2o\$13bo\$12b2o\$16bo\$12b2o\$13bo\$2o29b2o\$2o29b2o!`

p102 beetle gun:
`x = 55, y = 45, rule = B2ci3aejn/S2-c3-enr4-ait46b2o5b2o\$46b2o5b2o5\$24b2o4b2o\$24b2o4b2o\$8b2o13bo8bo6b2o\$8b2o3bo11bo4bo8b2o\$11b2ob2o\$10b3ob3o\$42b2o\$10b3ob3o25b2o\$11b2ob2o\$8b2o3bo11bo13b2o\$8b2o13bo9b2o4b2o9bo\$24b2o\$24b2o6b3o\$33bo14b2ob2o\$49bobo9\$31bo\$29bo\$30b2o14b2o5b2o\$30b3o13b2o5b2o4\$2o29b2o\$2o15bo4bo8b2o\$15b2o6b2o\$14b3o6b3o2\$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

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Location: Ishikawa Prefecture, Japan