## B2cek3i/S12cei

For discussion of other cellular automata.

### B2cek3i/S12cei

`@RULE B2cek3i_S12cei@TABLEn_states:2neighborhood:Mooresymmetries:rotate4reflectvar a={0,1}var b={a}var c={a}var d={a}var e={a}var f={a}var g={a}var h={a}0,0,1,a,1,0,0,0,0,10,1,0,0,1,0,0,0,0,1a,1,0,1,0,0,0,0,0,11,0,1,0,a,0,0,0,0,11,1,0,0,0,a,0,0,0,11,a,b,c,d,e,f,g,h,0@COLORS0 32 32 321 230 255 128`
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: 472
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B2cek3i/S12cei

"cekcei"

nope not even gonna touch that.

Adding B6c makes the ortho ship period 6. I'm gonna census it.
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: B2cek3i/S12cei

topcek

The two most common ships, as it seems:

`x = 4, y = 8, rule = B2cek3i_S12cei2bo\$3bo\$2bo4\$2bo\$obo!`

Dirty glider and horiship (that's what I'm calling the orthogonal ship) producing rake:

`x = 3, y = 13, rule = B2cek3i_S12ceio\$bo\$o8\$bo\$2bo\$bo!`

There is a third ship:

`x = 23, y = 3, rule = B2cek3i_S12cei11b2o8bo\$bo17b2obo\$obo9bo6b2obo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3412
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: B2cek3i/S12cei

Someone should apgsearch the hell out of this rule.

Domino (lots of) puffer:

`x = 17, y = 2, rule = B2cek3i_S12ceibo13bo\$obo11bobo!`

"Traffic light" puffer:

`x = 18, y = 4, rule = B2cek3i_S12ceibo\$obo\$16bo\$15bobo!`

Domino and horiship puffer:

`x = 16, y = 3, rule = B2cek3i_S12cei14bo\$bo11bobo\$obo!`

Clean small glider siderake:

`x = 16, y = 2, rule = B2cek3i_S12ceibo12bo\$obo10bobo!`

And this monstrosity of a rake:

`x = 56, y = 605, rule = B2cek3i_S12cei23bo\$10bo11bobo\$9bobo\$21bo3bo\$8bo3bo7bobobobo\$7bobobobo7bo3bo\$8bo3bo7bobobobo\$7bobobobo6bo2bo2bo\$7bo2bo2bo6bo5bo\$7bo5bo2\$24bo\$9bob3o6bo2bobo\$8b3o2b3obob3ob3o\$11b5o6b3ob3o\$5b4ob3obo2b5o4b3o\$5b5obo5bobo4bob2o\$6b2o4bo2bo2bo4bo\$23bo6\$18b2o2\$5bo21b2o\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo30bo\$14b2o7b2o11bobo2\$2bo5bo27b3o\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo27bo5bo\$5bo12b2o12b3o5b3o2\$27b2o3bo9bo\$33b2o5b2o7\$14b2o7b2o10\$18b2o2\$5bo19bobo\$5bo22bo\$b2obobob2o14bo3bo\$3o5b3o14bo\$3obobob3o15bo\$3b2ob2o\$3bobobo23bo2bo\$4bobo24b3o\$14b2o2\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo12b2o21bobo\$43bo9\$14b2o35bobo\$53bo3\$35bo\$33b2o5\$18b2o2\$5bo\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo\$14b2o2\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo12b2o4\$45bo\$43b2o5\$14b2o10\$18b2o2\$5bo\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo\$14b2o2\$2bo5bo19bo\$2bo2bo2bo18bobo\$2bobobobo46bo\$3bo3bo18bo3bo22b2o\$2bobobobo16bobobobo\$3bo3bo18bo3bo\$25bobobobo\$4bobo18bo2bo2bo\$5bo12b2o5bo5bo3\$27bobo\$26bobobo\$26b2ob2o\$23b3obobob3o\$23b3o5b3o\$24b2obobob2o\$28bo\$14b2o12bo11\$18bobo\$5bo7b2o3bobo3b2o\$5bo12b3o\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o10bobo\$3bobobo9bobobo\$4bobo10bobob2o\$14b2o\$16bo\$2bo5bo9bobo\$2bo2bo2bo10bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo9\$22bo\$22bo12\$5bo\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo15bo\$22bo2\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo\$30bo\$4bobo22bobo\$5bo2\$27b2obob2o\$28bobobo\$29bobo4\$29b3o\$22bob2o3bobo3b2o\$22bo6bobo\$23bo6\$21bobo\$21bo2\$34b2o2\$5bo\$5bo\$b2obobob2o\$3o5b3o15bo\$3obobob3o7bo6bob2o\$3b2ob2o10bo6bo2bo\$3bobobo15b6o\$4bobo5bobo9b2o\$11bo5bo7bo\$17bo6b2o\$2bo5bo3bo\$2bo2bo2bo5bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo19bo\$28b2o\$4bobo\$5bo20\$34b2o7\$17bo\$18b2o13\$5b2o7\$4b3o\$4bobo\$3bo3bo26bo\$3b5o24b2o\$2bo2bobobo\$2bo2bo4b2o\$4bobobo\$10b2o\$3bo3bo\$3bo3bo3\$34b2o\$17bo\$5bo9b2o\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo3\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo20\$34b2o21\$37bo\$35b2o18\$34b2o2\$5bo\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo3\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo20\$34b2o40\$34b2o2\$5bo\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo\$4bobo3\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo20\$34b2o40\$34b2o2\$5bo\$5bo\$b2obobob2o\$3o5b3o\$3obobob3o\$3b2ob2o\$3bobobo36bo\$4bobo36bobo3\$2bo5bo\$2bo2bo2bo\$2bobobobo\$3bo3bo\$2bobobobo\$3bo3bo2\$4bobo\$5bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3412
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: B2cek3i/S12cei

p420 horiship gun:
`x = 86, y = 107, rule = B2cek3i_S12cei51bobobobo2\$49bo9bo2\$49bo9bo2\$49bo9bo2\$51bobobobo9\$63bobobobobobobobo12\$49bo\$49bobo13\$11bobobobo2\$9bo9bo2\$9bo9bo2\$9bo9bo2\$11bobobobo11\$36bo2\$obobobobobobo21bo3bo\$79bobobo\$obobobobobobo21bo3bo\$77bo7bo\$34bo3bo\$77bo7bo\$34bo3bo12bobobobobobobobo\$77bo7bo\$34bo3bo\$77bo7bo\$34bo3bo\$79bobobo\$36bo6\$34b2o2\$34bo20\$43bobobobobobobo2\$43bobobobobobobo!`

p56 horiship gun:
`x = 951, y = 397, rule = B2cek3i_S12cei672bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2\$670bo107bo\$170bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo\$668bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo\$168bo111bo\$666bo3bo107bo3bo\$168bo111bo\$666bo3bo107bo3bo\$168bo111bo\$666bo3bo107bo3bo\$168bo111bo\$666bo3bo107bo3bo\$168bo111bo\$666bo3bo107bo3bo\$168bo111bo\$656bobobobobo3bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo3bobobobobo\$168bo111bo\$654bo11bo3bo107bo3bo11bo\$154bobobobobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bobobobobobobo\$652bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$650bo3bo11bo3bo107bo3bo11bo3bo\$152bo15bo111bo15bo\$616bobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobo\$152bo15bo111bo15bo\$614bo35bo3bo11bo3bo107bo3bo11bo3bo35bo\$114bobobobobobobobobobobobobobobobobobobo3bobobobobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bobobobobobobo3bobobobobobobobobobobobobobobobobobobo\$612bo3bobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$610bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo\$112bo39bo15bo111bo15bo39bo\$584bobobobobobobobobobobobobo3bo3bobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobo3bo3bobobobobobobobobobobobobo\$112bo39bo15bo111bo15bo39bo\$582bo27bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo27bo\$82bobobobobobobobobobobobobobobo3bobobobobobobobobobobobobobobobobobobo3bobobobobobobo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bobobobobobobo3bobobobobobobobobobobobobobobobobobobo3bobobobobobobobobobobobobobobo\$580bo3bobobobobobobobobobobobobo3bo3bobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo3bobobobobo3bo3bobobobobobobobobobobobobobobobobo3bo3bobobobobobobobobobobobobo3bo\$80bo31bo39bo15bo111bo15bo39bo31bo\$578bo3bo27bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo27bo3bo\$80bo31bo39bo15bo111bo15bo39bo31bo\$578bo3bo27bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo27bo3bo\$80bo31bo39bo15bo111bo15bo39bo31bo\$578bo3bo27bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo27bo3bo\$80bo31bo39bo15bo111bo15bo39bo31bo\$578bo3bo27bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo27bo3bo\$80bo31bo39bo15bo111bo15bo39bo31bo\$578bo3bo27bo3bo35bo3bo11bo3bo107bo3bo11bo3bo35bo3bo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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: 472
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: B2cek3i/S12cei

AbhpzTa wrote:p420 horiship gun:
`wow`

p56 horiship gun:
`how on Earth`

that is brilliant
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: B2cek3i/S12cei

I'm surprised there hasn't been any more research into this rule in the past year. Anyway, here is a particularly interesting natural pattern, which consists of a complex puffer and an even more complex rake that climbs up the puffer's trail of debris:
`x = 16, y = 16, rule = B2cek3i/S12ceio2bobob3o3bobo\$2obo3bobobobobo\$2ob3ob2obo3bo\$b3o4bo2bo2bo\$2bo2bobobob4o\$6o4bo3b2o\$b2o4bo4b2o\$b3o7b2o\$4o2bo4bobo\$b3ob2o5bo2bo\$2o2bo2bo2bo2b3o\$bo5b9o\$o3b2obobo2b2o\$o3bobobo3bob2o\$bob2o4bob4o\$bobo4bobobo!`

EDIT: And here's an interesting natural gun (a GMOS, actually):
`x = 16, y = 16, rule = B2cek3i/S12ceio2bo2b4o2b3o\$obo2b6o2bo\$b3o3b2o5b2o\$2o2b3o6bobo\$2obo2b2o2bo3bo\$2b2ob2obo2bo\$2bo2b2obo5bo\$3ob3o2b2o2b3o\$3o4b3o2b3o\$3b3ob3o4bo\$2obo7bobobo\$o3bobo3bo2bobo\$2bo4bobob4o\$3b2ob3ob2ob3o\$o4b2obo2bobo\$3o7bo4bo!`

EDIT 2: A natural 20c/40 spaceship consisting of a two-horiship puffer with a third horiship cleaning up the debris:
`x = 16, y = 16, rule = B2cek3i/S12cei3b3o2b3obo2bo\$o2bob4obobo\$2bo4b3ob3o\$4bo3bo2b3obo\$2o3bo2b2o\$ob4o2b2ob2ob2o\$b5o4b3o2bo\$o3bo3b2o4bo\$3b3o3bobo2bo\$2o2bo2b2o3bo\$ob2o3bobo2b3o\$3bob2o2b3o\$b2obo2bob3obo\$2o3b2obo2b3obo\$7b2ob2obo\$3obo4bo3b3o!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: B2cek3i/S12cei

Two horiships interacting to give a horiship siderake:
`x = 16, y = 16, rule = B2cek3i/S12cei2ob4o6bo\$2o2bo2bo3b4o\$o2bo2b2o2bobobo\$o4bo2bo5bo\$b2o8bo2bo\$ob2o2bobo2bo\$2bobob2o3b5o\$o4bo2b3o2b2o\$ob5o3bob2obo\$bob2o3b2o2b3o\$bo2b2o2bobo4bo\$obo2b4o3bobo\$o3b3o5bobo\$3bo2bob4ob2o\$ob2o2b5o\$4o2bob2obo2b2o!`

And similarly, a horiship backrake:
`x = 16, y = 16, rule = B2cek3i/S12cei3o2b5o3b2o\$4obo3b2ob2o\$2bo2b2o2b2o3bo\$2b3ob4o3bo\$3bobob4ob4o\$3b4ob3o2bo\$2o6bo2bo\$2b6o2b4obo\$bo2b2obob3obo\$b2obob2o4b3o\$3b3o2bo5b2o\$o4bo4bo2bo\$4bo2b4o2b3o\$3o2b2obobo4bo\$b4o3bo2bobo\$ob2ob3o3bo2bo!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm