B2ci3aejn/S2-c3-enr4-ait

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drc
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B2ci3aejn/S2-c3-enr4-ait

Post by drc » September 30th, 2017, 6:37 pm

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:

Code: Select all

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):

Code: Select all

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:

Code: Select all

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:

Code: Select all

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!

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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):

Code: Select all

#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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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. :D :D :D

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.
\100\97\110\105

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: B2ci3aejn/S2-c3-enr4-ait

Post by M. I. Wright » September 30th, 2017, 7:42 pm

Good writeup :D 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:

Code: Select all

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:

Code: Select all

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!
Glider advancer+phase-shifter:

Code: Select all

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!
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AbhpzTa
Posts: 487
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: B2ci3aejn/S2-c3-enr4-ait

Post by AbhpzTa » October 1st, 2017, 12:36 pm

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:

Code: Select all

#C Gun collection for
4c/14 (typo?) ...

Code: Select all

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:

Code: Select all

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:

Code: Select all

x = 46, y = 11, rule = B2ci3aejn/S2-c3-enr4-ait
b2o40b2o$b2o40b2o$9bobo$9b3o$8bo3bo$9b3o$8bo3bo$9b3o$9bobo$2o42b2o$2o
42b2o!
p102:

Code: Select all

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

Code: Select all

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).

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