Very chaotic fuse (B3/S013567)

[c0b0p0]

I found a very chaotic fuse in this rule and could not find the period, even when I lengthened my RLE beyond 0.1 MB. It can be reproduced by tiling a line with the following pattern.

Code: Select all

x = 3, y = 6, rule = B3/S013567 
b3o2$b3o$2bo2$2bo$b3o!

Most p2s are in the form of bandlike oscillators that can easily be extended. Here is the smallest one.

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..O
OO.

The smallest p4 that is not a dotmover has five cells and is statorless:

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.O.
O.O
...
.O.
.O.

This is a more useful p4:

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x = 4, y = 4, rule = B3/S013567
2o$ob2o$o2bo$o!

6-cell p3:

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x = 3, y = 5, rule = B3/S013567
b2o$o2$obo$2bo!

5-cell p12:

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x = 4, y = 5, rule = B3/S013567
o2$bo$2b2o$2bo!

[Lewis]

Various higher period oscillators (including a nice 8-cell p54)

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x = 147, y = 135, rule = B3/S013567
bo6bo$bo6bo2$bo6bo88bo5bob2obo27bob2ob2obo$bo6bo5b3o81bo3bo6bo6bo3b4o
3bo8bob2ob2obo$14b2o118b3ob5ob3o$4b2obo6bo3bo79bo3bo6bo8bo2b2o2bo11b7o
$8bo8b2o79bo3bo6bo9bo4bo9b5o3b5o$16b3o97bo10bo6b4o5b4o$98bo3bo6bo6bobo
2b2o2bobo8b2o5b2o$8bo107bobo2b2o2bobo8b2o5b2o$8bo89bo3bo6bo6bo10bo6b4o
5b4o$119bo4bo9b5o3b5o$8bo89bo3bo6bo8bo2b2o2bo11b7o$8bo89bo3bo6bo24b3ob
5ob3o$116bo3b4o3bo8bob2ob2obo$42b2o54bo3bo6bo26bob2ob2obo$42b2o54bo4bo
b2obo$17b2ob2ob2o16b4o$2bob2ob2o33b2o$bo13b12o15b2o$15b12o15b2o59bo4bo
$bo11bob2o8b2obo12bo2bo59bo4bo$bo11bob2obo4bob2obo$15b2o2bo2bo2b2o8bo
3bo6bo3bo53bo4bo$bo11bob2o8b2obo4b6o8b6o51bo4bo$2bob2obo5bob2o8b2obo4b
6o8b6o$8bo6b2o2bo2bo2b2o8bo3bo6bo3bo53bo4bo11bo5bo$13bob2obo4bob2obo
88b2o4bobo4b2o$8bo4bob2o8b2obo12bo2bo59bo4bo11bo5bo$8bo6b12o15b2o$15b
12o15b2o60bo4bo$bo6bo33b2o60bo4bo$2bob2obo9b2ob2ob2o16b4o$42b2o60bo4bo
$42b2o60bo4bo3$2bob2obo$bo6bo$35bobo5bobo$bo34bo7bo10bo11bo$bo23bo2bo
6bo3bobo3bo17bo2bo30bo5bob2obo$23bob3o10bo3bo14bo4bobo33bo3bo6bo12bo$b
o12b2ob2o5b6o7bobobobo10b3o$4b2obo5bo5bo4b2ob2o24bo10bobo31bo10bo10bo
3bo$bo6bo6bobo5b6o8bobobobo6bo2bo8bo2bo32bo10bo12bo$14bo3bo6b3obo8bo3b
o10bo7bo56bob5obo$bo6bo15bo2bo7bo3bobo3bo6bo45bo21b5o$bo6bo27bo7bo60b
2ob2o6bo2b3ob3o2bo$35bobo5bobo52bo21b5o$bo6bo109bob5obo$2bob2obo90bo
10bo12bo$98bo10bo10bo3bo2$98bo3bo6bo12bo$98bo4bob2obo2$b2ob2obo$8bo52b
obo$16bob2obo35bo9bo$29bo3bo25bo5bo$8bo5bo2bo2bo2bo6bobo25bob2ob2obo
30bo5bob2obo$8bo7bob2obo8bobo26bobobobo32bo3bo6bo$14bo2b4o2bo32bo2b2o
3b2o2bo$6bo7bo2b4o2bo7b4o63bo3bo$6bo9bob2obo30b2o2bo11bo2b2o25bo3bo16b
o5bo$14bo2bo2bo2bo9bobo15bobo17bobo45bo5bo$4bo28bobo15b2obo15bob2o24bo
3bo$4bo11bob2obo10bo3bo16bo17bo33b2obo7bo3b2ob2o3bo$55bo13bo28bo3bo6bo
$2bo46bobo21bobo43bo5bo$2bo42bo33bo18bo3bo6bo9bo5bo$47bo29bo20bo3bo6bo
$46bob2o25b2obo$18bobo26bobo25bobo20bo3bo6bo$14bo9bo19bo2b2o27b2o2bo
17bo4bob2obo$15bobo3bobo$44bo2b2o27b2o2bo$15bo2bobo2bo23bobo25bobo$13b
o3bo3bo3bo20bob2o25b2obo$47bo29bo$13bo3bo3bo3bo19bo33bo12bob2obo5bob2o
bo$15bo2bobo2bo25bobo21bobo15bo6bo3bo6bo$55bo13bo$15bobo3bobo29bo17bo
26bo3bo6bo$14bo9bo26b2obo15bob2o24bo3bo6bo11bo10bo$18bobo30bobo17bobo$
52b2o2bo11bo2b2o25bo3bo6bo7bo3bo7bo3bo$92bob2obo21bo11bo$56bo2b2o3b2o
2bo22bo10bo6bo8bobobo7bobobo$59bobobobo53bo11bo$bob2obo51bob2ob2obo24b
o10bo6bo5bobo9bobo$o6bo51bo5bo25bo10bo6bo9bo11bo$32b2o23bo9bo$o6bo24b
2o27bobo27bo10bo6bo$o6bo23b3obo56bob2ob2o4bob2obo$15bo5bo10b2o$13bo3bo
bo3bo8b6o$2ob2ob2o8bo3bo10b7o$15b2o3b2o8b3o2bo83bo2bobo2bo$31bo60bob2o
bo5bob2obo$o6bo83bo6bo3bo6bo7b13o$o6bo109b13o$98bo3bo6bo5bob2o9b2obo$o
6bo90bo3bo6bo7b2o2bo2bo3b2o$bob2obo110b2o2bo3b2ob2o$102bo6bo5bob2obo7b
2obo$94b2ob2o18b2o9b2o$102bo6bo5bob2o7bob2obo$bob2obo38bo7bo63b2ob2o3b
o2b2o$o6bo10b2o26bo5bo45bo3bo6bo7b2o3bo2bo2b2o$14bo2bo2bo2bo22b2o3b2o
45bo3bo6bo5bob2o9b2obo$o6bo8bo4bo20bo4b2ob2o4bo60b13o$o6bo7b2ob2ob2o
20b2o3b3o3b2o35bo6bo3bo6bo7b13o$14bo2bo2bo2bo10bo9b2o7b2o37bob2obo5bob
2obo$o6bo5bo2bo4bo2bo8bo11b2o5b2o65bo2bobo2bo$bob2o8bo2bo4bo2bo7bobobo
9bo5bo$7bo6bo2bo2bo2bo7bobobo9b2o5b2o$15b2ob2ob2o11bo9b2o7b2o$7bo8bo4b
o11bo9b2o3b3o3b2o36bob2ob2o3bo6bo$7bo6bo2bo2bo2bo18bo4b2ob2o4bo34bo10b
o6bo$18b2o26b2o3b2o$o6bo38bo5bo38bo10bo6bo$bob2obo38bo7bo37bo10bo6bo
11bo$121bo$91bo13b2obo9b2o$92bob2obo11bo$98bo22b2o$119bo$98bo10bo9bo$
98bo10bo2$91bo6bo10bo$92bob2obo11bo!

[velcrorex]

Some spaceships here: http://fano.ics.uci.edu/ca/rules/b3s013567/

Also c/5

Code: Select all

x = 12, y = 16, rule = B3/S013567
3b2o2b2o$b3o4b3o$bo8bo$2o8b2o$bo8bo$bo8bo$2o8b2o$b3o4b3o$2bo6bo
$3bo4bo$3bob2obo$4b4o$2bo6bo$2bobo2bobo$2obo4bob2o$bo8bo!

c2/5

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x = 15, y = 27, rule = B3/S013567
2bo9bo$3b2o5b2o$2bo9bo$2bo2bo3bo2bo$2bo2bo3bo2bo$3b2o5b2o$5bo3b
o$2b2obo3bob2o$2bobo5bobo$5b2ob2o$2b2ob2ob2ob2o$bobo7bobo$bob2ob
obob2obo$2obobo3bobob2o$2bobo5bobo$5b2ob2o$bo11bo$2bo2b2ob2o2bo$
2bobobobobobo$6bobo$2b2o2bobo2b2o$2bo2bo3bo2bo$bobobo3bobobo$2b2o
bobobob2o$2bo9bo$3b3obob3o$4bo5bo!

c/5 diagonal

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x = 35, y = 35, rule = B3/S013567
28b2o$27bo2bo$26bo$27bo$33bo$24b2obo6bo$22bobobobo5bo$20bo8bobo
bo$19bob2o5bo3bo$21bo7bo$20b3o5b2o$16b$20bo3bobobo$24b3o$14b2ob3o
2bobo2bo$15bo2bobo5bo$13bo5b2o$14bobo3bo$11bo2bo2bo$10bo8b2o$10b
obo3b2o2bo$9b2o7bo$10b2o2bo$5b2o2b2obo3bo$3bo4bo2b5o$3bo2bo4bobo
$2b2o2bobobo$2bob4o$obo2bob3obo$6b2o3bo$2b2o3bo$4bo3b3o$4bob3o2$
6bo!

Edit:
c/7

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x = 10, y = 35, rule = B3/S013567
3bo2bo$3b4o$4b2o$4b2o$b2ob2ob2o$2bob2obo$2bob2obo$4b2o$2b6o4$2b
2o2b2o$bo2b2o2bo$o8bo$b2ob2ob2o2$2b2o2b2o$bobo2bobo2$4b2o$4b2o$b
2ob2ob2o$4b2o$bo2b2o2bo$4b2o$3b4o$bob4obo$4b2o$4b2o$bob4obo$2b6o
$3b4o2$3b4o!

I really like this rule; it seems like random soup settles down, but ships are relatively easy to find.

[c0b0p0]

it seems like random soup settles down, but ships are relatively easy to find.

On the other hand, I cannot figure out how to synthesize much of anything! All the reactions I tested between the c/4 orthogonal ship and a dot make two or more still lifes. One of them actually has the dot live for the whole lifespan of the pattern, adding nothing more than another dot to the dot's cluster.

As well as that, I often found that it did not settle down very quickly; in one case, I found a 9-cell 4489-generation methuselah:

Code: Select all

x = 12, y = 44, rule = B3/S013567
o18$o5$11bo17$9b2o$5bo5bo2$11bo!

[Lewis]

Another small P12 (this one is 8 cells) that acts similar to the 5-cell one:

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x = 6, y = 4, rule = B3/S013567
3o$3b2o$5bo$3bobo!

[LaundryPizza03]

Bump

Tiny c/8o by Rocknlol, minpop 26 cells

Code: Select all

x = 5, y = 20, rule = B3/S013567
2bo2$2bo$o3bo$bobo2$2bo2$5o$b3o3$b3o$o3bo$2bo$bobo2$o3bo2$2bo!

[Hunting]

Bump

Tiny c/8o by Rocknlol, minpop 26 cells

Code: Select all

x = 5, y = 20, rule = B3/S013567
2bo2$2bo$o3bo$bobo2$2bo2$5o$b3o3$b3o$o3bo$2bo$bobo2$o3bo2$2bo!

Known:

Cute c/8

Code: Select all

x = 20, y = 5, rule = B3/S0135678
2bo3bo4bo4bo$4bo2bo2b2o3bo$o4bobo2b2obo3bobo$4bo2bo2b2o3bo$2bo3bo4bo4b
o!

[LaundryPizza03]

2c/7 orthogonal spaceship:

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x = 15, y = 48, rule = B3/S013567
2b3o5b3o$bobobo3bobobo$2bobo5bobo$ob3obobob3obo3$b2o9b2o$3bo7bo$2b2o7b
2o$4bo5bo$3b2o5b2o$4bobobobo$3bo7bo$4bobobobo$5bo3bo$5bo3bo2$3b2o5b2o$
4b3ob3o$5b2ob2o$4b3ob3o$3bobo3bobo$5bo3bo2$4bo5bo$4bo5bo$bo11bo$bo3bo
3bo3bo$2bo2bo3bo2bo$4b7o$3b9o$4b2o3b2o$5bobobo$7bo$7bo$6b3o$5b2ob2o$ob
obobobobobobo$bo2b3ob3o2bo$5b5o$2b2o7b2o$b3o7b3o$b3o7b3o2$3bo7bo$3b2o
5b2o$2bobo5bobo$b2o2bo3bo2b2o!

[breaker's glider gun]

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