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Pentadecathlife (B34e5y6cn8/S234c5e)

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Re: Pentadecathlife (B34e5y6cn8/S234c5e)

Postby Moosey » August 19th, 2019, 5:08 pm

Pointless bump!


New p15, very crazy, apparently known in an already-searched rule (likely B34e/S23)
x = 14, y = 10, rule = B34e5y6cn8/S234c5e
3bo6bo$2b2o6b2o$b3o6b3o$2b2o6b2o$3bo6bo2$5bo2bo$2o3bo2bo3b2o$5o4b5o$2o3bo2bo
3b2o!

Semiatural keys variant:
x = 32, y = 32, rule = B34e5y6cn8/S234c5e
obobboooooboboboobobobooooobbobo$
bbbbobboooobbbbbbbbbboooobbobbbb$
obobbobbbobboobbbboobbobbbobbobo$
bbboobbooboobbbbbbbbooboobboobbb$
boboooobbbboboboobobobbbboooobob$
oboboooooboboobooboobobooooobobo$
obbbooobboobbbboobbbboobbooobbbo$
oobobobobobbobbbbbbobboboboboboo$
oobobobbbboobboooobboobbbboboboo$
ooobbboobbbboooooooobbbboobbbooo$
boboboobobbbboboobobbbboboobobob$
obboobbbobbboboooobobbbobbboobbo$
bbobboboboboobooooboobobobobbobb$
oboboobbboobbbbbbbbbboobbboobobo$
bbbbbbbbooboobobbobooboobbbbbbbb$
obbbooobooooobboobbooooobooobbbo$
obbbooobooooobboobbooooobooobbbo$
bbbbbbbbooboobobbobooboobbbbbbbb$
oboboobbboobbbbbbbbbboobbboobobo$
bbobboboboboobooooboobobobobbobb$
obboobbbobbboboooobobbbobbboobbo$
boboboobobbbboboobobbbboboobobob$
ooobbboobbbboooooooobbbboobbbooo$
oobobobbbboobboooobboobbbboboboo$
oobobobobobbobbbbbbobboboboboboo$
obbbooobboobbbboobbbboobbooobbbo$
oboboooooboboobooboobobooooobobo$
boboooobbbboboboobobobbbboooobob$
bbboobbooboobbbbbbbbooboobboobbb$
obobbobbbobboobbbboobbobbbobbobo$
bbbbobboooobbbbbbbbbboooobbobbbb$
obobboooooboboboobobobooooobbobo!


More seminatural fumaroles:
x = 255, y = 33, rule = B34e5y6cn8/S234c5e
bo3bo2bo2bo2bo2bo2bo2bo2bo3bo$o2bo2b4ob10ob4o2bo2bo191b2ob2o2b3o2bo2b
2o2bo2b3o2b2ob2o$3b2o3bobob2o4b2obobo3b2o194b3ob4ob4ob4ob4ob4ob3o$b2o
4b2o2bob6obo2b2o4b2o193b2ob3o2b4o2b2o2b4o2b3ob2o$2bo2b3o2b4ob2ob4o2b3o
2bo193bo5bo2b2ob2o4b2ob2o2bo5bo$o3b4o4b8o4b4o3bo191b3o4b2ob2obo4bob2ob
2o4b3o$bo2b2ob3o2bobo2bobo2b3ob2o2bo193b2o3bo18bo3b2o$bob4obo4b6o4bob
4obo193b3ob2o2bobobo4bobobo2b2ob3o$4o2b5obo2b2o2bob5o2b4o191b2o2bo2bob
2obo6bob2obo2bo2b2o$bo4bob2o2bob4obo2b2obo4bo192bo3bo4b2ob3o2b3ob2o4bo
3bo$2bobo3bo3bo6bo3bo3bobo193b4o2b3o3bobo2bobo3b3o2b4o$2ob2o6b2ob4ob2o
6b2ob2o192b4o2b2ob2o2bo2bo2b2ob2o2b4o$b2ob3ob4obo4bob4ob3ob2o193b2obob
o3b4ob2ob4o3bobob2o$b5obo4b2o4b2o4bob5o192b4o3b3ob2ob4ob2ob3o3b4o$2obo
b3obobo2bo2bo2bobob3obob2o194b2obobo2bo3b2o3bo2bobob2o$bob3ob3obo8bob
3ob3obo193bo6b3obo6bob3o6bo$bob3ob3obo8bob3ob3obo192b3o8b3o4b3o8b3o$2o
bob3obobo2bo2bo2bobob3obob2o191b3o8b3o4b3o8b3o$b5obo4b2o4b2o4bob5o193b
o6b3obo6bob3o6bo$b2ob3ob4obo4bob4ob3ob2o195b2obobo2bo3b2o3bo2bobob2o$
2ob2o6b2ob4ob2o6b2ob2o191b4o3b3ob2ob4ob2ob3o3b4o$2bobo3bo3bo6bo3bo3bob
o194b2obobo3b4ob2ob4o3bobob2o$bo4bob2o2bob4obo2b2obo4bo193b4o2b2ob2o2b
o2bo2b2ob2o2b4o$4o2b5obo2b2o2bob5o2b4o191b4o2b3o3bobo2bobo3b3o2b4o$bob
4obo4b6o4bob4obo192bo3bo4b2ob3o2b3ob2o4bo3bo$bo2b2ob3o2bobo2bobo2b3ob
2o2bo192b2o2bo2bob2obo6bob2obo2bo2b2o$o3b4o4b8o4b4o3bo192b3ob2o2bobobo
4bobobo2b2ob3o$2bo2b3o2b4ob2ob4o2b3o2bo194b2o3bo18bo3b2o$b2o4b2o2bob6o
bo2b2o4b2o192b3o4b2ob2obo4bob2ob2o4b3o$3b2o3bobob2o4b2obobo3b2o194bo5b
o2b2ob2o4b2ob2o2bo5bo$o2bo2b4ob10ob4o2bo2bo192b2ob3o2b4o2b2o2b4o2b3ob
2o$bo3bo2bo2bo2bo2bo2bo2bo2bo3bo192b3ob4ob4ob4ob4ob4ob3o$223b2ob2o2b3o
2bo2b2o2bo2b3o2b2ob2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
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Re: Pentadecathlife (B34e5y6cn8/S234c5e)

Postby Hdjensofjfnen » August 19th, 2019, 5:17 pm

Moosey wrote:New p15, very crazy, apparently known in an already-searched rule (likely B34e/S23)
x = 14, y = 10, rule = B34e5y6cn8/S234c5e
3bo6bo$2b2o6b2o$b3o6b3o$2b2o6b2o$3bo6bo2$5bo2bo$2o3bo2bo3b2o$5o4b5o$2o3bo2bo
3b2o!

For a moment, I thought that was Karel's p15.
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Pentadecathlife (B34e5y6cn8/S234c5e)

Postby CoolCreeper39 » August 19th, 2019, 7:50 pm

Smallest known oscillators/spaceships of a given period/speed in Pentadecathlife:



Oscillators:

p2: 3-cell bounding box, 3 cells: found by John Conway in March 1970
x = 1, y = 3, rule = B34e5y6cn8/S234c5e
o$o$o!


p3: 21-cell bounding box, 14 cells:
x = 3, y = 7, rule = B34e5y6cn8/S234c5e
3o$3o$bo2$bo$3o$3o!


p4: 30-cell bounding box, 14 cells: found by Achim Flammenkamp in 1988
x = 5, y = 6, rule = B34e5y6cn8/S234c5e
3b2o$2b3o$bob2o$obo$o2bo$b2o!


p5: 48-cell bounding box, 18 cells: found by Dean Hickerson in September 1989
x = 8, y = 6, rule = B34e5y6cn8/S234c5e
3b2o$b2o2b2o$bo4bo$2bo2bo$obo2bobo$2o4b2o!


p6: 324-cell bounding box, 48 cells: found by Moosey
x = 18, y = 18, rule = B34e5y6cn8/S234c5e
8b2o$8b2o4$5b8o$5b2o4b2o$5bo6bo$2o3bo6bo3b2o$2o3bo6bo3b2o$5bo6bo$5b2o
4b2o$5b8o4$8b2o$8b2o!


p8: 70-cell bounding box, 16 cells:
x = 7, y = 10, rule = B34e5y6cn8/S234c5e
2bo2bo$b2o2b2o$bo4bo5$o4bo$2o2b2o$bo2bo!


p12: 30-cell bounding box, 19 cells: found by Moosey
x = 3, y = 10, rule = B34e5y6cn8/S234c5e
3o$obo3$obo$obo$bo$3o$3o$3o!


p14: 35-cell bounding box, 16 cells: found by George Collins in 1970
x = 5, y = 7, rule = B34e5y6cn8/S234c5e
o2b2o$bo2bo$b2obo2$b2obo$bo2bo$o2b2o!


p15: 24-cell bounding box, 24 cells:
x = 3, y = 8, rule = B34e5y6cn8/S234c5e
3o$3o$3o$3o$3o$3o$3o$3o!


p18: 64-cell bounding box, 16 cells: found by Moosey
x = 8, y = 8, rule = B34e5y6cn8/S234c5e
b3o$obo$2o$o$7bo$6b2o$5bobo$4b3o!


p28: 540-cell bounding box, 53 cells: found by Moosey
x = 18, y = 30, rule = B34e5y6cn8/S234c5e
o9bo$3o5b3o$3bo3bo$2b2o3b2o2$5bo$5bo$5bo2$4b3o2$4bobo$5bo$9bo$8bobo$7b
o2bo$8b2o$12bo$11bobo2$11b3o2$12bo$12bo$12bo2$9b2o3b2o$10bo3bo$7b3o5b
3o$7bo9bo!


p131: 1089-cell bounding box, 40 cells: found by FWKnightship on 8/14/2019
x = 33, y = 33, rule = B34e5y6cn8/S234c5e
2b6o2$o$o$o$o$o7b2o$o7b2o$6b2o$6b2o14$25b2o$25b2o$23b2o7bo$23b2o7bo$
32bo$32bo$32bo$32bo2$25b6o!


p210: 220-cell bounding box, 42 cells: found by Ian07 on 17/07/2019
x = 11, y = 20, rule = B34e5y6cn8/S234c5e
3o2$obo$bo$bo$obo5$obo$bo$bo6b3o$obo5b3o$8b3o$3o5b3o$8b3o$8b3o$8b3o$8b
3o!


p524: 5936-cell bounding box, 86 cells: found by FWKnightship
x = 56, y = 106, rule = B34e5y6cn8/S234c5e
2b6o2$o$o$o$o$o7b2o$o7b2o$6b2o$6b2o14$25b2o$25b2o$23b2o7bo$23b2o7bo$
32bo$32bo$32bo$32bo2$25b6o19$28bo$26bo2bo$26bo2bo$27bo19$25b6o2$23bo$
23bo$23bo$23bo$23bo7b2o$23bo7b2o$29b2o$29b2o14$48b2o$48b2o$46b2o7bo$
46b2o7bo$55bo$55bo$55bo$55bo2$48b6o!


Spaceships:

c/2 orthogonal: 20-cell bounding box, 9 cells: found by John Conway in 1970
x = 5, y = 4, rule = B34e5y6cn8/S234c5e
o2bo$4bo$o3bo$b4o!


8c/18 orthogonal: 42-cell bounding box, 13 cells: found by Moosey
x = 7, y = 6, rule = B34e5y6cn8/S234c5e
5bo$bo4bo$6bo$2obob2o$bo$2b3o!


2c/5 orthogonal: 130-cell bounding box, 37 cells: found by Ian07 on 17/7/2019
x = 13, y = 10, rule = B34e5y6cn8/S234c5e
o$ob2ob2ob2o$2b2ob2o3bo$3bo2bo3bo$11bo$7bo4bo$b2o3bo5bo$2b2o4b2o2bo$o
2bo4b4o$b2o7bo!


c/3 orthogonal: 20-cell bounding box, 9 cells:
x = 4, y = 5, rule = B34e5y6cn8/S234c5e
o$3o$3bo$3o$o!


4c/14 orthogonal: 56-cell bounding box, 16 cells: found by Ian07 on 17/7/2019
x = 8, y = 7, rule = B34e5y6cn8/S234c5e
3b2o$bo2bo$o$b2o3b2o$4bo2bo$4bo2bo$4b3o!


c/4 orthogonal: 49-cell bounding box, 25 cells: found by Ian07 on 17/7/2019
x = 7, y = 7, rule = B34e5y6cn8/S234c5e
2o2b3o$2bob2o$3o$b3o$3o$2bob2o$2o2b3o!


c/5 orthogonal: 300-cell bounding box, 80 cells: found by Goldtiger997 on 20/7/2019
x = 20, y = 15, rule = B34e5y6cn8/S234c5e
12bo$2bo9b2o$2b2o3bo4b2o$2bo3bobo4bo$7b2o3b2obo2b2o$2o9bo5b3o$o5b11o2b
o$16b2o$o5b11o2bo$2o9bo5b3o$7b2o3b2obo2b2o$2bo3bobo4bo$2b2o3bo4b2o$2bo
9b2o$12bo!


c/8 orthogonal: 112-cell bounding box, 30 cells: found by Goldtiger997 on 20/7/2019
x = 8, y = 14, rule = B34e5y6cn8/S234c5e
bo$bobo$o3bo$2obo$o3b4o$2bobo3$2bobo$o3b4o$2obo$o3bo$bobo$bo!


c/4 diagonal: 9-cell bounding box, 5 cells: found by Richard Guy in 1969
x = 3, y = 3, rule = B34e5y6cn8/S234c5e
b2o$obo$2bo!


2c/10 diagonal: 36-cell bounding box, 12 cells: found by Moosey
x = 6, y = 6, rule = B34e5y6cn8/S234c5e
3bo$2bobo$5bo$b2obo$ob2o$2o!


c/17 diagonal: 100-cell bounding box, 20 cells: found by Moosey
x = 10, y = 10, rule = B34e5y6cn8/S234c5e
3b3o$5bo$5bo$bob2o$7b3o$2o4bo2bo$6bo2bo2$4bobo$4bo!
Last edited by CoolCreeper39 on August 19th, 2019, 11:03 pm, edited 1 time in total.
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Re: Pentadecathlife (B34e5y6cn8/S234c5e)

Postby Moosey » August 19th, 2019, 8:03 pm

I didn't discover the p3 or the c/3 -- those discoverers were likely unknown. Same for the PD, which can be found in this form in rules as simple as B34e/S23
I think the small c/4 was also known prior to Ian07's search since I remember seeing it before.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
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Posts: 2306
Joined: January 27th, 2019, 5:54 pm
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