Pentadecathlife (B34e5y6cn8/S234c5e)

[Moosey]

Pointless bump!


New p15, very crazy, apparently known in an already-searched rule (likely B34e/S23)

Code: Select all

x = 14, y = 10, rule = B34e5y6cn8/S234c5e
3bo6bo$2b2o6b2o$b3o6b3o$2b2o6b2o$3bo6bo2$5bo2bo$2o3bo2bo3b2o$5o4b5o$2o3bo2bo
3b2o!

Semiatural keys variant:

Code: Select all

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:

Code: Select all

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!

[Hdjensofjfnen]

New p15, very crazy, apparently known in an already-searched rule (likely B34e/S23)

Code: Select all

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.

[CoolCreeper39]

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

Code: Select all

x = 1, y = 3, rule = B34e5y6cn8/S234c5e
o$o$o!

p3: 21-cell bounding box, 14 cells:

Code: Select all

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

Code: Select all

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

Code: Select all

x = 8, y = 6, rule = B34e5y6cn8/S234c5e
3b2o$b2o2b2o$bo4bo$2bo2bo$obo2bobo$2o4b2o!

p6: 324-cell bounding box, 48 cells: found by Moosey

Code: Select all

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:

Code: Select all

x = 7, y = 10, rule = B34e5y6cn8/S234c5e
2bo2bo$b2o2b2o$bo4bo5$o4bo$2o2b2o$bo2bo!

p12: 30-cell bounding box, 19 cells: found by Moosey

Code: Select all

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

Code: Select all

x = 5, y = 7, rule = B34e5y6cn8/S234c5e
o2b2o$bo2bo$b2obo2$b2obo$bo2bo$o2b2o!

p15: 24-cell bounding box, 24 cells:

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

x = 5, y = 4, rule = B34e5y6cn8/S234c5e
o2bo$4bo$o3bo$b4o!

8c/18 orthogonal: 42-cell bounding box, 13 cells: found by Moosey

Code: Select all

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

Code: Select all

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:

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

x = 3, y = 3, rule = B34e5y6cn8/S234c5e
b2o$obo$2bo!

2c/10 diagonal: 36-cell bounding box, 12 cells: found by Moosey

Code: Select all

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

Code: Select all

x = 10, y = 10, rule = B34e5y6cn8/S234c5e
3b3o$5bo$5bo$bob2o$7b3o$2o4bo2bo$6bo2bo2$4bobo$4bo!

[Moosey]

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.


EDIT:
3G of enormous spark

Code: Select all

x = 14, y = 16, rule = B34e5y6cn8/S234c5e
11bobo$11b2o$12bo5$bo$2bo$3o4$11bo$10b2o$10bobo!

[Hdjensofjfnen]

4G p3:

Code: Select all

x = 38, y = 43, rule = B34e5y6cn8/S234c5e
22bo$23bo$21b3o6$36bo$35bo$35b3o4$22b2o$21bobo$23bo24$bo$b2o$obo!

EDIT: Dammit, it already has a 4G synthesis. At least this one's edgy.
EDIT: Unity reaction (4G --> 4G):

Code: Select all

x = 12, y = 8, rule = B34e5y6cn8/S234c5e
6bo$6bobo$bo4b2o$2bo$3o$10b2o$9b2o$11bo!

[FWKnightship]

Smaller p131 glider gun:

Code: Select all

x = 57, y = 62, rule = B34e5y6cn8/S234c5e
30b6o$29bo7bo$28bo8bo$29bo$30b2ob2ob3o$34bo3bo$24bo9bo4bo$23bobo8bob3o
$22bo3bo11bo$22bo3bo$22bo$10b2o10bo3bo$9bo2b2o8bo3b4o$9bo4bo7bo$9b3ob
2o11bo2bo$6b3o4bo9b2obo2bo$4b2o20b2ob2o$4b2o3bo18bo21bo$6bo2bo38b2ob2o
$5bo43bo2bob2o$4b2ob2o40bo2bo$5b2o49bo$49b4o3bo$52bo3bo$56bo$52bo3bo$
40bo11bo3bo$40b3obo8bobo$39bo4bo9bo$7b2o2b2o27bo3bo$6b3o2b3o26b3ob2ob
2o$7b2o2b2o36bo$41bo8bo$41bo7bo$14bo28b6o$bo11b3o$3o9b2ob2o$3o8b2ob3o$
10b3o2b2o$9bobo3b2o$3o5b3o$3o4b3o$bo4b2o$5b2obo$6b5o$7b4o11b4o$22b5o$
24bob2o$25b2o4bo$23b3o4b3o$22b3o5b3o14bo$16b2o3bobo24b2o$16b2o2b3o24b
2o$16b3ob2o8b3o$16b2ob2o9b3o$17b3o11bo$18bo3$20b2o2b2o$19b3o2b3o$20b2o
2b2o!

P131 2-barrelled glider gun:

Code: Select all

x = 62, y = 62, rule = B34e5y6cn8/S234c5e
33b2o$32bobo5b3o$31b2o4bo2bo$32b2o3b2o3bo$29bo3b3obo3b3o$28b3o6b3o$27b
o2b2o5b2obob2o$27b2o2bo6b3o4bo$31bo7b3o2bo$14b2o27bo$14b2obo11b5o$15bo
bo12bob3o$8b3o21bob2o$10b3o15b2o3b3o$11bobo14bo2bo3bo$8bo2b7o10bob2obo
$10bo3b4o13bobo2bo17bo$16bo18bo17bo$34bo17bo2bobo$55bob2obo$53bo3bo2bo
$53b3o3b2o$53b2obo$54b3obo$55b5o$45bo$44bo2b3o7bo$43bo4b3o6bo2b2o$45b
2obob2o5b2o2bo$7b2o2b2o36b3o6b3o$6b3o2b3o31b3o3bob3o3bo$7b2o2b2o33bo3b
2o3b2o$48bo2bo4b2o$46b3o5bobo$14bo39b2o$bo11b3o$3o9b2ob2o$3o8b2ob3o$
10b3o2b2o$9bobo3b2o$3o5b3o$3o4b3o$bo4b2o$5b2obo$6b5o34b2o3b2o$7b4o11b
4o18b3o$22b5o18b2o3b3o$24bob2o17b2o4b2o$25b2o4bo14b2o$23b3o4b3o13bobo$
22b3o5b3o13b3o$16b2o3bobo21bo2b2o$16b2o2b3o26bo$16b3ob2o8b3o13bo2bo$
16b2ob2o9b3o$17b3o11bo$18bo3$20b2o2b2o$19b3o2b3o$20b2o2b2o!

[Entity Valkyrie 2]

Code: Select all

x = 30, y = 25, rule = B34e5y6cn8/S234c5e
13bo$11b2o$12b2o6$2o$2o22b2o$24b2o6$12b2o$13b2o13b2o$12bo15b2o4$18b2o$
19b2o$18bo!

EDIT: P1680

Code: Select all

x = 30, y = 22, rule = B34e5y6cn8/S234c5e
20bo$20bo$19bobo$20bo$2bo3bo3bo9bo7bo$bo2b2ob2o2bo8bo6bobo$3obobobob3o
7bo$bo2b2ob2o2bo7bobo5b3o$2bo3bo3bo9bo$20bo7bo$28bo$28bo3$28bo$28bo$
28bo2$27b3o2$27bobo$28bo!

[77topaz]

EDIT: P1680

Code: Select all

x = 30, y = 22, rule = B34e5y6cn8/S234c5e
20bo$20bo$19bobo$20bo$2bo3bo3bo9bo7bo$bo2b2ob2o2bo8bo6bobo$3obobobob3o
7bo$bo2b2ob2o2bo7bobo5b3o$2bo3bo3bo9bo$20bo7bo$28bo$28bo3$28bo$28bo$
28bo2$27b3o2$27bobo$28bo!

That's trivial, though: on the left-hand side is a p240 interaction and on the right hand side a p210, but no individual cell oscillates at p1680.

[AlephAlpha]

64P2H1V0 (the smallest p2 spaceship in Conway's Game of Life) also works in this rule.

Code: Select all

x = 31, y = 8, rule = B34e5y6cn8/S234c5e
5b3o15b3o$4bo3bo13bo3bo$3b2o4bo11bo4b2o$2bobob2ob2o3b3o3b2ob2obobo$b2o
bo4bob2ob3ob2obo4bob2o$o4bo3bo4bobo4bo3bo4bo$12bo5bo$2o7b2o9b2o7b2o!

But this rule has smaller p2 spaceships:

Code: Select all

x = 57, y = 21, rule = B34e5y6cn8/S234c5e
10bo19bo19bo$9b3o17b3o17b3o$3b3o2b3ob2o9b3o2b3ob2o9b3o2b3ob2o$2bo2b3ob
o2bo9bo2b3obo2bo9bo2b3obo2bo$bo3bobo4bob2o5bo3bobo4bob2o5bo3bobo4bob2o
$bo5bo2bobob2o5bo5bo2bobob2o5bo5bo2bobob2o$3bo2bo8bo7bo2bo8bo7bo2bo8bo
$b3o11b2o4b3o11b2o4b3o11b2o$bo19bo19bo$o19bo19bo$ob2o16bob2o16bob2o$2b
obo17bo19bo$2bob2o16bob2o16bob2o$5b2o17bobo17bo$3bo3bo16bob2o16bob2o$
4bo22b2o17bobo$6b2o17bo3bo16bob2o$26bo22b2o$28b2o17bo3bo$48bo$50b2o!

[Entity Valkyrie 2]

Any way to complete this p50 PD shuttle?

Code: Select all

x = 20, y = 19, rule = B34e5y6cn8/S234c5e
10b2o$10b2o$19bo$10b4o3b3o$10bo2bo2bo$16b2o3$10bo4bo$8b2ob4ob2o$10bo4b
o3$2b2o$3bo2bo2bo$3o3b4o$o$8b2o$8b2o!

Done!

Code: Select all

x = 97, y = 44, rule = B34e5y6cn8/S234c5e
16b2o$16b2o$25bo$16b4o3b3o$2o14bo2bo2bo$o2b2o17b2o5b2o$b2obo24b2o$5bo
32bo$5bo4bo4bo13b4o3b3o$b2obo3b2ob4ob2o11bo2bo2bo$o2b2o5bo4bo19b2o5b2o
$2o40b2o$51bo$8b2o19bo4bo7b4o3b3o$9bo2bo2bo11b2ob4ob2o5bo2bo2bo$6b3o3b
4o13bo4bo13b2o5b2o$6bo48b2o$14b2o48bo$14b2o5b2o13bo4bo13b4o3b3o$22bo2b
o2bo5b2ob4ob2o11bo2bo2bo$19b3o3b4o7bo4bo19b2o5b2o$19bo48b2o$27b2o48bo$
27b2o5b2o19bo4bo7b4o3b3o$35bo2bo2bo11b2ob4ob2o5bo2bo2bo$32b3o3b4o13bo
4bo13b2o5b2o$32bo48b2o$40b2o48bo$40b2o5b2o13bo4bo13b4o3b3o$48bo2bo2bo
5b2ob4ob2o11bo2bo2bo$45b3o3b4o7bo4bo19b2o$45bo$53b2o40b2o$53b2o5b2o19b
o4bo5b2o2bo$61bo2bo2bo11b2ob4ob2o3bob2o$58b3o3b4o13bo4bo4bo$58bo32bo$
66b2o24bob2o$66b2o5b2o17b2o2bo$74bo2bo2bo14b2o$71b3o3b4o$71bo$79b2o$
79b2o!