ConwayLife.com

Posted: **April 13th, 2019, 12:10 am**

Rule: B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8

This rule is named for this still life, the second most common object after block:

Code: Select all

x = 6, y = 6, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
ob2obo$b4o$6o$6o$b4o$ob2obo!

It evolves from several seeds:

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x = 4, y = 4, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
2bo$bobo$obo$bo!

It has lots of natural, non-trivial, high period oscillators:
very common p43

Code: Select all

x = 40, y = 19, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
9bo$7bobobo$8b3o$6bo2bo2bo$6b2o3b2o$8bobo$3b2o3b3o3b2o$bo2bo4bo4bo2bo$
2bo2b2ob3ob2o2bo21bo$4o2b7o2b4o18b3o$2bo2b2ob3ob2o2bo21bo$bo2bo4bo4bo
2bo$3b2o3b3o3b2o$8bobo$6b2o3b2o$6bo2bo2bo$8b3o$7bobobo$9bo!

p73

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x = 12, y = 4, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
3o6b3o$3o6b3o$3o6b3o$3o6b3o!

p2046

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x = 6, y = 7, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
5bo$2o2b2o$2o2b2o3$2o$2o!

p>2M

Code: Select all

x = 11, y = 16, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
o$2o$2o$bo2$2o2b3ob3o$2ob3o2b2o$5bo3bo$o7bo$3o5b3o$2o5b3o2$o3bo3bo$2o
2b3ob2o$2ob3o2b2o$5bo!

Arbitrary periods can be created by connecting "shuriken" blocks:

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x = 4, y = 39, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
2bo$3o$b3o$bo2$b2o$b2o3$b2o$b2o3$b2o$b2o3$b2o$b2o3$b2o$b2o3$b2o$b2o3$b
2o$b2o3$b2o$b2o3$b2o$b2o!

22c/493 diagonal puffer:

Code: Select all

x = 37, y = 37, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
2o$2o11$12bo3bo$16b2o2$15b2o13bo$12b2obobo11bo$13bo2b2o14bo$29bo$29bo
4bo$25bo4b2obo$24bo3bo$23b3obo$22b3o$21b4o2bobo$20bobo2b4o$25b3o$22bob
3o$21bo3bo$16bob2o4bo$15bo4bo10b3o$20bo9b2obo$17bo12bobo2b2o$20bo9b2o
3b2o$19bo14b3o$32b4o$32b3obo!

Frep:

Code: Select all

x = 6, y = 5, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
b4o$b4o$6o$b4o$b4o!

Current spaceship collection (all orthogonal except two): top are c/2, c/3, c/4, 2c/5, 2c/5, 2c/6, c/6, middle are 3c/40, 2c/18, 2c/9, bottom is glide-symmetric c/4 diagonal and 4c/35 diagonal

Code: Select all

x = 230, y = 283, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
4b2o6b2o33b4o27b2o7b2o37b2o36b2o4b2o45bo7bo$3b4ob2ob4o32bo2bo26b4o5b4o
35b4o34bo2bo2bo2bo42bo2bo5bo2bo$b4obob2obob4o29b6o74b2o36b2o4b2o45b2o
2bo2b2o$3o2b2ob2ob2o2b3o28b2o2b2o25b4o5b4o34bob2obo33bob2o2b2obo42bob
3obob3obo$bo3b2o4b2o3bo30b4o25bob2obo3bob2obo34b4o32bo12bo43b2obob2o$
3o3bob2obo3b3o28bo4bo24b2o2b2o3b2o2b2o33b6o31b2o10b2o41bo2bobobo2bo$2b
3o2b4o2b3o31b4o26b4o5b4o35bo2bo33b2o3b2o3b2o39b3o2bob3obo2b3o$3b3o2b2o
2b3o62b4o5b4o34bob2obo32b2ob2o2b2ob2o39bobo11bobo$5o3b2o3b5o58bo4bo3bo
4bo33b6o32b2o8b2o40b2o11b2o$3o2b3o2b3o2b3o105bo2b2o2bo30b3o8b3o38b4o9b
4o$2bobo2bo2bo2bobo61b4o5b4o33b2ob2ob2o31bobo6bobo40bobo9bobo$b2o3b2o
2b2o3b2o61b2o7b2o35bo4bo33bo8bo42b2o9b2o$bo2b3o4b3o2bo62bo2b3o2bo35bo
6bo35b4o48bo5bo$5b3o2b3o68bo3bo74b4o2bo2bo2b4o40bo2bo3bo2bo$b2o3b2o2b
2o3b2o61b2ob2ob2ob2o35bob2obo30bo3bo2b2o2bo3bo40b2obo3bob2o$5bo6bo65bo
2bo3bo2bo72bo2bo6bo2bo40bo2b3ob3o2bo$6bo4bo69b2ob2o76b4ob2ob4o41b2obo
5bob2o$79b3o3b3o126bo2bobo3bobo2bo$81b2ob2o128b2o2bo5bo2b2o$80b3ob3o
76b2o6b2o41bo13bo$80bob3obo75b4o4b4o41bo11bo$80bob3obo76b10o$79bo7bo
74bo10bo40b2o11b2o$79bo7bo75bo2bo2bo2bo43b3o5b3o$78bobobobobobo71b16o
39b3o7b3o$82bobo75bo5b4o5bo39b5o3b5o$80b2o3b2o74bob2ob4ob2obo39bob2ob
2ob2ob2obo$76b4o7b4o73bob4obo42bo4bobobo4bo$77b3o3bo3b3o70b2ob10ob2o
37bobob9obobo$79bobobobobo72bob4ob2ob4obo39bobobobobobobo$161bobo2bo2b
o2bobo41bo9bo$161bobo3b2o3bobo43bo5bo$162bo3bo2bo3bo44bo5bo$160bobobob
4obobobo38b4o7b4o$167b2o45bo2bo7bo2bo$166bo2bo46b2o7b2o2$165b2o2b2o47b
o5bo$163bob6obo43b3o5b3o$166b4o50bobo$160b4o2bo2bo2b4o43bo3bo$160bo3bo
6bo3bo40bobo5bobo$161bobobob2obobobo42bo7bo$161bo12bo$161bo2b2o4b2o2bo
43bo5bo$165bob2obo42b2ob2o7b2ob2o$165b2o2b2o42b7o3b7o$167b2o48bob5obo$
166bo2bo44b2o2bo5bo2b2o$163bob6obo41bo4bobobo4bo$161b4obo2bob4o$162b4o
b2ob4o46bobo$162bobobo2bobobo47bo$165bob2obo$162bob8obo46b3o$166b4o49b
o3bo$165bo4bo47b2o3b2o$163bo8bo43b2obo3bob2o$162bo3b4o3bo42bo2b2ob2o2b
o$162bo3b4o3bo44bob3obo$163b2obo2bob2o47bobo$162bo3bo2bo3bo44b2obob2o$
164bobo2bobo48b3o$162bo10bo44bo5bo$162b2o8b2o43b2ob3ob2o$161b4ob4ob4o
42bo2bobo2bo$164b2ob2ob2o46bo2bo2bo$162bo2b6o2bo43b2o2bo2b2o$161b4obo
2bob4o41b4o3b4o$161bo3bo4bo3bo41bo2bo3bo2bo$166bo2bo44b4o7b4o$163bobob
2obobo42bob2o2bo2b2obo$161b2ob2o4b2ob2o38bob2o9b2obo$163b2obo2bob2o42b
2o9b2o$161bob3o4b3obo40bo11bo$162bo10bo43bo7bo$218bo2bo2bo$162b2obo4bo
b2o45b5o$162bo10bo41b2o3b3o3b2o$161b3obo4bob3o39b3obo5bob3o$161bo2b2o
4b2o2bo40bobo2bobo2bobo$164bob4obo42bobo4bo4bobo$163bobob2obobo47bobo$
162b4o4b4o$165bo4bo$164bo6bo$163bob6obo$164b3o2b3o$163bo3b2o3bo$164b8o
$165b6o$164bob4obo$167b2o$165b6o$161b3ob6ob3o$161b2ob2ob2ob2ob2o$160bo
bo4b2o4bobo$161bo12bo$160bo14bo$160bo2bo8bo2bo$164bo6bo$161bobo3b2o3bo
bo$161b2o2b6o2b2o$161b2o2b6o2b2o$165bo4bo$163bo3b2o3bo$166b4o$161bobo
2b4o2bobo$165bob2obo$164bo6bo$165b6o$166bo2bo$166b4o$165bo4bo$165b6o$
166b4o$163b4o2b4o$164b8o$163b4o2b4o$164bo6bo$161b2obo6bob2o$161bo2b2o
4b2o2bo$161bo3bo4bo3bo$161bobobo4bobobo2$161b2o10b2o$161bo12bo$162bobo
6bobo$162bob8obo$162bo2b2o2b2o2bo$162bob2o4b2obo$165bo4bo$162bo3bo2bo
3bo$163bobo4bobo2$166b4o$165b6o$160b2o2b2ob2ob2o2b2o$160b3o2b2o2b2o2b
3o$161bobobob2obobobo$160bo4bob2obo4bo$161bo2bobo2bobo2bo$164bo6bo$
164b2o4b2o$162bo3bo2bo3bo$161bobo3b2o3bobo$161b2ob3o2b3ob2o$160b2ob2o
6b2ob2o$162b2o8b2o$161b2o10b2o$165b2o2b2o$165b2o2b2o$166b4o$166b4o$
166b4o$160b2o12b2o$160b3o3b4o3b3o$161bobo8bobo$5b4o151bobo10bobo$5b4o
152bob3o4b3obo$4b6o152bo2bo4bo2bo$5b4o152b2o2b6o2b2o$5b4o152bob3o4b3ob
o2$161b5o4b5o$161b2o2bo4bo2b2o$162b3obo2bob3o$46bo2bo38bo5bo67b2o8b2o$
47b2o40bo3bo70bo6bo$46b4o36bo2b2ob2o2bo69bo2bo$46b4o36bobo5bobo65bob3o
2b3obo$3b2o41b4o113bo8bo$3b2o159b3o2b3o2$165b6o97$11bo$9b4o$9b4o56b2o$
8b2o59b2o$9bo$6b2o57bobo$7b3o52b2obo$6b2o56b4o$63bobo$64bobo$61bo4bo$
62bo!

Posted: **April 13th, 2019, 9:14 am**

testitemqlstudop wrote: p>2M

Code: Select all

x = 11, y = 16, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
o$2o$2o$bo2$2o2b3ob3o$2ob3o2b2o$5bo3bo$o7bo$3o5b3o$2o5b3o2$o3bo3bo$2o
2b3ob2o$2ob3o2b2o$5bo!

The period of this is 33554430 according to oscar.py.

Posted: **April 14th, 2019, 10:57 pm**

Ian07 wrote:
testitemqlstudop wrote: p>2M
Code: Select all
x = 11, y = 16, rule = B2e3-ceny4einqwz5-cikr6cei/S1c2e3aijky4aceijrz5-cejk6-ak7c8
o$2o$2o$bo2$2o2b3ob3o$2ob3o2b2o$5bo3bo$o7bo$3o5b3o$2o5b3o2$o3bo3bo$2o
2b3ob2o$2ob3o2b2o$5bo!
The period of this is 33554430 according to oscar.py.

That's 2^25 - 2. I'm sure it has something to do with the bit-like nature of the oscillator...

Posted: **April 14th, 2019, 11:13 pm**

Chaining shurikens will always create an oscillator of period two less than a perfect exponent of 2.

Ntzfind creates very long partials in this rule; it sometimes goes up to a depth of 4000 without a repeating section.

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