Miscellaneous clean rakes in OCA

[confocaloid]

Each rake must be clean (i.e. an object that moves through vacuum and periodically emits escaping spaceships without leaving any debris).

There are no other hard restrictions (in particular, all sorts of cellular automata supported in Golly or in LifeViewer are accepted).
However, please avoid minor/trivial/obvious variations of already posted rakes. Also it's probably more interesting to discover/construct a dozen of different rakes all in a single cellular automaton (and make and post a stamp collection pattern), compared to one rake in each of a dozen of different cellular automata.
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There is a similar forum thread for guns: viewtopic.php?f=11&t=5177 "Miscellaneous guns in OCA"
This isn't a competition, unlike the related forum thread viewtopic.php?f=11&t=5214 "INT rule siderake competition"
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Here are capped orthogonal 5c/12 rakes, in a CA with extensible p12 orthogonal 5c/12 spaceships (quoted below) and some glider guns posted elsewhere:

• a p24 double-barrel glider rake (top)
• a p36 single-barrel rake shooting p6 diagonal c/6 spaceships (bottom)

Code: Select all

x = 75, y = 84, rule = B3-ckqy4w5jkr/S23-ce4t5knr6ek
36bo$36b2o$35bob2o$35bobo$35b2o4$55b3o$40b2o15bo13bo$40bobo12bobo12bo
2bo$40bo8bo5b2o13bo3bo$50bo23bo$49bo22b3o$55b2o3b2o3b2o$55b2o3b2o3b2o$
49bo$50bo$40bo8bo5b2o14b2o$40bobo12bobo13bobo$40b2o15bo15bo$55b3o13b3o
3$24bo$24bobo$24b2o5$19b2o$19bobo$19bob2o$20b2o$20bo19$20bo$20bo$26b3o
8b2o22bo$28bo7b2ob2o19bo2bo$24bo3bo8bo2bo19bo3bo$24bo2bo9bo2bo23bo6bo$
25bo12b2o22b3o5bo2bo$56bo13bo3bo$34b2o5bo14bo17bo$33bo2bo3bobo7b2o20b
3o$34b2o5b2o6bo2bo2b2o3b2o3b2o$49bo2bo2b2o3b2o3b2o2$21bo20bo14bo$20bo
19b2ob2o12b2ob2o9b2o$20b2obo21bo10bo2bob2o8bobo$20b3o14bo5bobo11bobob
3o9bo$36bo7bo13bo2b2o8b3o$37b2obo2bo$o$o5$8b2o$8bobo$8bob2o$9b2o$9bo!
#C [[ THEME MCell GRID TRACKLOOP 72 30/72 0/72 ]]

Here are some extensible p12 orthogonal 5c/12 spaceships:

Code: Select all

x = 88, y = 52, rule = B3-ckqy4w5jkr/S23-ce4t5knr6ek
85b2o$86b2o$85b2o$85bo4$84b2o$84bobo$84bob2o$85b2o$85bo9$85b2o$75b2o9b
2o$74b4o7b2o$73b2o3bo6bo$74b4o$75b2o2$84b2o$84bobo$84bob2o$85b2o$85bo
9$33bo51b2o$14b2o16bobo8b3o29b2o9b2o$b2o2b2o6b4o7b3o6b3o3b2o2b3o5bob4o
5b2o2b2o6b4o7b2o$3o2b2o5b2o3bo6b2ob2o5b3obo7bo2b2ob3o2bo3b3o2b2o5b2o3b
o6bo$b2o2b2o6b4o7b3o6b3o3b2o2b3o5bob4o5b2o2b2o6b4o$14b2o16bobo8b3o29b
2o$33bo$84b2o$84bobo$84bob2o$85b2o$85bo!
#C [[ THEME MCell GRID TRACKLOOP 12 5/12 0/12 ]]

A wick:

Code: Select all

x = 7, y = 57, rule = B3/S23:T10,61
bo3bo$o5bo2$bo3bo$2b3o2$3bo$2bobo4$b2ob2o$o5bo$bo3bo$2b3o4$2b3o$2bobo
3$bo3bo$b2ob2o$2bobo$3bo4$2b3o2$2bobo$3bo$3bo$2bobo$2bobo$3bo5$2b3o$b
o3bo3$b2ob2o$3bo6$3bo$2bobo$bo3bo$2bobo$2b3o!

[...]

[wwei47]

Did not expect to see an elementary 12c/12 rake for a 2c/10 spaceship in this rule.

Code: Select all

x = 9, y = 4, rule = B2ac3nr5r/S
o5bo$obobo3bo$obobo3bo$6bo!

[confocaloid]

The orthogonal c/2 puffer engine from the B35(78)/S23(8) space or thereabouts [1] can be used for some high-period rakes. In particular, it can be used for glider rakes, in those two-state isotropic cellular automata where B5n isn't a living condition. Here are two examples (there are likely many more):

p296 mod-148 glider rake, capped with p4 spaceships found using qfind

Code: Select all

x = 108, y = 79, rule = B35-ny/S23-c
16bo$5b3o6b4o$b2o2b2o3bobob2ob2o$5obobobo3bo3bo$6o4bobob2ob2o$14b4o$
16bo5$59bo$48b3o6b4o$44b2o2b2o3bobob2ob2o$43b5obobobo3bo3bo$43b6o4bobo
b2ob2o$57b4o$59bo20$97bo7bo$89bo5bo6b3obo$89bobo2b2obo3b3o2b2o$89b2o4b
2o3b2ob4o$96bo3bo2b3o20$59bo$57b4o$43b6o4bobob2ob2o$43b5obobobo3bo3bo$
44b2o2b2o3bobob2ob2o$48b3o6b4o$59bo5$16bo$14b4o$6o4bobob2ob2o$5obobobo
3bo3bo$b2o2b2o3bobob2ob2o$5b3o6b4o$16bo!
#C [[ THEME MCell GRID TRACKLOOP 296 148/296 0/296 ]]

p56 glider rake, capped with a p4 spaceship found using qfind

Code: Select all

x = 121, y = 31, rule = B35aikqr/S23
116bo$101b2o12b4o$100bobobo3bob2o3b2ob2o$101bo3b2o2bob3o5b2o$102bobo6b
4o3b2o$112b4o$113b3o$o$3bo$o2bo$4bo3$29bobo$29bo2bo$29bo2bo5b2o$30bobo
3bo2bo24b3o$31b3obo29b2o$30b3o3bobo27bo4b2o8b2o11bo2bo$30b2o5bo32b4o7b
3o6bo4bobob2o$30bo39b2obobo6bo2bo3bobobo6bo$37bo32b3ob3o4bo4bo6bob4obo
$16bo19b5o30bo2b2obo2bo5b2o$17b2o16b3o3bo27bobo4b2o2b2o2bo7bob8o$34b3o
bo31bo9bo2bo3bo3b2o7b2o$39b3o27bobo4b2o2b2o2bo7bob8o$17bobo51bo2b2obo
2bo5b2o$70b3ob3o4bo4bo6bob4obo$70b2obobo6bo2bo3bobobo6bo$70b4o7b3o6bo
4bobob2o$71b2o8b2o11bo2bo!
#C [[ THEME MCell GRID TRACKLOOP 56 28/56 0/56 ]]

[1]: "the B35(78)/S23(8) space or thereabouts" simply means those CA where either the same puffer engine or a trivial variation of the engine exists. While "a trivial variation" is not completely objective, one can make good guesses about where to look for rakes/puffers with (a variation of) the same engine. For example, exploring the following subspace of "two-state isotropic CA with Moore neighbourhood" is likely to yield lots of related high-period rakes (some of which may be more interesting than others, either by themselves or due to interesting reactions/components existing in the same CA):

Code: Select all

required birth conditions: B3acijknq5aikqr
required survival conditions: S2aceik3aeijnqr
optional birth conditions: B2n3ery4cekntw5cejny6cikn78
optional survival conditions: S02n3cky4ceknqtyz5ejkn6ein7e8
disabled birth conditions: B012aceik4aijqryz6ae
disabled survival conditions: S14aijrw5aciqry6ack7c