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2D Replicator Classes

For discussion of other cellular automata.

Re: 2D Replicator Classes

Postby PHPBB12345 » January 10th, 2018, 11:05 pm

muzik wrote:Hm.

x = 11, y = 11, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
5bo$4bobo$5bo$5bo$bo7bo$ob2o3b2obo$bo7bo$5bo$5bo$4bobo$5bo!


x = 29, y = 29, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
4bo19bo$3bobo17bobo$4bo19bo$bo2bo19bo2bo$ob2ob19ob2obo$bo2bo19bo2bo$4b
o19bo$4bo19bo$4bo19bo$4bo19bo$4bo19bo$4bo19bo$4bo19bo$4bo9bo9bo$4bo8bo
bo8bo$4bo9bo9bo$4bo19bo$4bo19bo$4bo19bo$4bo19bo$4bo19bo$4bo19bo$4bo19b
o$bo2bo19bo2bo$ob2ob19ob2obo$bo2bo19bo2bo$4bo19bo$3bobo17bobo$4bo19bo!

x = 100, y = 100, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
2b2o3bo4b2obo3b5ob2obo3b2o2b4ob7o3bobo3b4o2b2o2bobo5bobobo2bob2o2b2o3b
o3b3o$2b4obobo4bo4bob2obo3bo2b2o2bobo2bobo2b3o2bob2ob2o3bob6o3b2ob3obo
4bo2b2obo5b3obo$b7obob5ob2o4bobob3obo4b7o2bob2ob2o3bobob3o4b3obo3bobo
4b3ob3obob2o2b3obo$2obo2bob2o4b2o5b2o2b3ob2ob5o3bobob2o5bo2bo2bob2o2bo
2bo2bobo2b2o5b3o2bob2o5b3obo$b2o2bob2o2bob2ob3o2b3obo2bobobo2b2ob3obob
3o2b3o2b4ob3o3bo2b3obobo2bo2bobob4o2b3obo3b2o$2o2b2o2bo2b2ob2ob2obobo
2bo2b4obob2ob2obo3b4obob2o2b3ob4ob2o2bob6ob2o3bobo4b2o2b2obo$obo4b3o2b
4o2bo3bobo2bobo3b2ob2obobob2obobob4o3bob2obo2b2o2bobo3bobo2bo2b2o3bo2b
obob5o$2o4bo3bobob11ob3obo3b3obob2ob2o4bob2o3bo3bo3bobobob3obo3bo5bo4b
4o2bob3o$obo3bo2b4ob2obo2b2o2bob2ob3ob2obobob3ob4obo2bobo6b4o2b3o4b5o
2b6o2bobo6bo$3bo2b2o2bo4b7o2b6o4b3o3bo2bo3b3obobobo3b2o2bob4o3b2o3b4o
3bobo3b3ob2obo$o3bo3bo2bo2b4o3b2obo4b2o2bobo2bobo4bobo2bo3b2o7b2o5bo2b
2o2b2ob4ob4o3bobobo$bo2b2ob8obo2bob2o5b2obo5bob3ob3ob2ob3obo2bo2b2ob2o
bob6obo2b3ob3obobobob5o$b4obobo4b2obobo2b2obo4b5ob2obob4ob2o2bo2bob3o
3bobobobobob2o7bob2o2b2o2b4ob3o$2obo3bob2ob2obo3b3obobo3bo4b3o3b4o6b2o
b2obo2b2o4bo3bob2o3b4o2bo2bobob2ob3ob2o$2b2ob2ob2ob6obobo2bob2ob2ob3ob
ob4obobob3o2bob2o3bobo2b2ob2obobob5obob5o3bob2o2bob3o$b2o5b11obo2b4obo
4bob2ob2ob3o2bo3b5obo3bob2o4b3o2b2ob2ob2ob2obob2o2bo5b3o$2b2o3b3o9b2o
2b2obo2b2obobobob4o2bo2b3obobobobo3bo2b2o3bob2o3bo4bo3bo3b2obobo2b2o$
4bob10o6b2o3bob2ob8ob2ob2obob7ob2o2b3obob5obo3b2o8b3ob6obo$o4bobo2b2o
2b2ob5o3b2obo2b3o2b4o6b2o3bo5b2o3bob3o2b3o6bobobo3b5o2bo2bo$b2obo2bob
3o3b2o2bo3b2ob2o2b2ob3o3bobobo3bo3b3obobob5o3b2o2b4o5b3o2bob4ob2obobob
o$bo4bo3b3o3bo2bo3b7o3b3obo2bob3o2b4ob4o2bobo3b2o2b2ob2obo2bob4o4b2o2b
3ob2o$2bo2b3ob2o2b2ob3obob5obo4b3obob2ob3obob4o4b2obo2b2o3b2o5bobobo3b
2o3b2ob3ob2o2bo$6b6o5b2ob5o2b2o6bo7b2o2b2o4bob2obo2b3o2b3o3b3o7b2o2b4o
b2o4b3o$b3ob2obob2obobo4bobo2bo2bob2obobobobobob2o3bobobob3o2bobo3b3o
2bo6bo3b2o2bo3bob4o3bo$3ob2ob2ob2ob3obo2bo2b8ob3obo3bobo5b2obo4b2o5bob
obob4o2bo2b3ob2ob2o3b2o3b2o2bo$ob3o2b3obob2o2b7obobobo2b2obo2b2obo2bo
3b2obo4bobobo2bo3bobob3o2bo2b3o4bo2bo2bobobo2bo$2b3ob6o2b3o3bobobob5ob
ob2obo2b2o2b3obo2b8ob3o3bobo2bo2b3o2bob2o2bob2ob2ob2obo2bo$bob2o2bobob
ob2o2b3ob2ob3o2bobob2o2bo2bo2b2o3bo4b2obobo2bo3b2ob4o2bo3b2o2bobob2ob
3o2b2ob3o$3bo2b2o2bo7b3o2bo2bob3obobobobob2o2b2ob2o2b2ob2ob3o3bob4o6b
6o5bo2bo2b3obo$3ob2obobo2b2ob2ob3obob4o4b2o2b3obob4o2b2o2b2ob2o2b2o2bo
bo2b2o2bobo3bob3obo2b2o2b3o2b2obo$bo18bobo5bobo3bobo4b2obob3o5bob2o2bo
b2o2bo3b2o4b3o2b2o3b2o4b2obo2bo$obo2b3o3b2ob2obob2o5b4o2bo2bobob2o4bob
o2b2o2bobo4b3ob2o3bo4bo2b3o2bo3b2ob3obobob2o$3bobob3o4b2obo3bo4b3ob2o
7bo2bob2o4b8ob3ob2obo4bo6b3o2b2o5bo4b3obo$4bobo3b2o2b3o2bob4o2bo2bobo
2bo3b2obo4bo2b7o3bo4bob2o2bobo2bo5b7o3bob6o$2o2b3o2bobob2ob2obob5ob2o
7b2o2b3obobobo3b5o2bobo2b2o2b7obob2obob2obob3ob2ob2obo$b4obo4bo2bo3b2o
bo3bo4bob3o4b4ob3obo5bobo3bo2bobo4b4ob2o2bob2o2bob2obobo4bo$bo3bobob3o
bob5ob2ob2ob3o2bo5b2o2b4o6b3ob3obob2obo2b2ob2obob2o3bo3bo4bob4o$2bo3bo
b2obo2b2o3b2o2b4ob4obo2b3obo4bo2bobob2o2bo4bob2o8b2o3b2obob2ob3o2b3o3b
2o$2bo3b2o2bobo2bob2o5b2ob4obo3b2ob4o3b2ob6obobo2bo2b2o2b2obo3b2ob2obo
2b3ob3obo2bo2b2o$4b2obo2bo2bo3b2o3bob4o2b2o4b2o5b2o3bobo2b3ob3ob3o3bob
2ob2o2b2o2b2o2bo2b3obob4obo$5bob2o2bo3bo3bo3b3o3b6o2b2o3bob4obo2bo2b4o
bo3bo4bobo2bo2b3o2b5o2b2obob2o3bo$b3ob2ob3o4bobo2b5o2bobo2b2ob4obo4b4o
b3obob2obo2bo3bobob2obobo3bobo3b2o6b3obo$b4ob2o3bob8o3b3obobo2b2o2b2o
2bobo3bo2b2o3b4o2b4obobo3bo2b8o3b5ob2o3bobo$4b6ob2obo2bob2o5b2o3bo5bo
2b2o2bo3bo2bo2b4o3bobo3bo3bo4b3obob2o2bo5bobobo$4ob4o3b3o2bo2b4ob3o3bo
bo2bob2o2b3obo3b2o2bo2bo2b2o2bo2b2o12bob2obo5bo3b2o$4o2b3obob3ob5o3bob
2o3bob4obobo2b3obob3o2b2ob3o6bobob3ob2ob2o2b2obo2bob2o3b2o$4b5o2b4o2b
2o2bobobo2b5o2bo3bo2bo2b3o3bo3b10ob3o3bo4b3obo2b7o2bo5bo$5ob3o4bobobo
4b3o3bo2bobob3ob3obob2obobob2obob4o3bob3ob3o10bo2bo2bobob2ob2obo$obobo
b2o3bo4bobo4bob4o2bob4ob6obo2b5ob4o4bo4b3obo2bobo2b2o2b2ob2ob3o2bo2b3o
$ob2obo4bob6o3b2ob4obobo4bo2b2ob5o2bo2bo2bob2ob2o3b3ob3o4b4o3b3obobobo
bo2bob2o$3obob4o2b2o2b4ob2o2bo3bo3bo2b5o2b3obo10bo3b7ob2o2b2o2b5o2b2o
4bob3o2b2o$2b2o5b4o2bobo6b2o5bo2bo2b2obo2bobobo4bo2b2obo2b2o3b2obo3b2o
3b5ob2ob4o6b3o$3o3bo3b2o4b3o4b2o2b3obo2bo2b3o2bob2o2bobobo2b2obo2b3obo
2b4ob4o4bobo4b8o2b2o$b2o2bo3bobo4bo2bobo2b3obo3b2o2b3o2bob3o2bob3obo3b
5ob2o2b2o3b4o2bob3obo2bo4b2ob4o$o2b3o2b2obob2o2b11ob2o2bob4o3b2o2bob2o
3b4ob3o2bobo5bo3b2obobob3o3bo5b5o$ob2ob3obo5b2obobobo3bo3b4obobo3b2o2b
o2bob3o3b3obob3o2b3obob2o2bobob3ob2o3bo3bob2o$3b4ob2obo4b2o2b3ob3o2bob
ob2ob5obob4o3b2o2b3ob2o2bobo3bobob2ob2o2bobo3bo2bobob3o3bo$o2bo3bo2b2o
4b2obo3bo2bob3ob3o4b2o4bo2b2ob3o2bo2bob2o3b4obo2b3o3b2o3b2obobob4o$3o
5bo3b2o2b2obo3bob2obobo3b2o4b2obo2b2obo2bobob5ob3o5b3obo2b4ob3ob2obob
6o$obob3ob2ob4ob3ob4o2bob5o2bob2obo3bob2o2bo2b2o2b5obobob3ob10o3b2obob
2o3bo2bobo$3o2b3ob2o8b3o2bo3b2o2b4obo4bobo2bo2bo3bo3b5ob6o2b3obob3obob
2obo3b2o2bob2o$b2ob2ob2obobo3b4o2bobo2b3obo4bo2bobo4bo3b2o2b2ob3ob2obo
5b2ob2obo2b2o2b2obobo2b2ob2o2bo$4bobobo2b4o4b4o2bo5b3o5b2obobo3b3o2bob
o2b2o3b2ob2obob3ob3obo3b2ob2obo7bobo$2o2b5obo3b2obo2b3ob2o2bob2obo3b2o
bo2b2o3bo3bob3ob2obob5o5bobob2o3bob2obo2b2ob2ob2obo$3o2b2o2b2o2b2o3b3o
6b2o6b2o2b3obobob2obobobob4o4bobo3b2ob2ob3o6b5o2bob5o$3bo4b3o2b3ob5o2b
2o2bo4bo2b2o3b4o2bob2o2bo5b6o3b3ob2ob2o2bo2b2obo2b5o2bob3o$2obo3bobob
2o3bo3bo4b2obob2o2b9ob2ob2ob2o4b3o2b4o4bo2b2o2bo2bob2obob4ob2o2b5o$ob
3o2bobobobo2b2obobob2o2b3o4bobob3o3b3o6b2o2b3o3bobo3bobob3obobob2o2bo
2b5o2b2o2bo$bob4o3b3o2bo2b2o4b2o3b2obo2bo2b4obob2o4b2o2b3o4b6o2bobo2b
2o2bo4bo3b2o5bobobo$2b7obob5obo2b2obob3o3b2o2b2o2bobob3obo2b3o3b4ob2o
2b2ob3o3bobob2obo2b2ob3obo2b3obo$4o2b2o4b2obob2ob2o3bob2ob2o3b3o2bo4b
2o5b3obob4obo4b2o4bob2o2bob5o3b2o2bo$bo4bo2b2obo2bobo5b3ob2o2b4o2bo3b
2o4b2ob4o3b3ob3obobobobo4bo2bob2o3bob3o2b3o$3ob5obobobo2b2o2bo2b4o3b2o
bo2bo4b3o3bob2o5bob8ob5o5bo2b5o2b4o2b3o2bo$5bo2b2o2b2ob4o3bob6obob3obo
bo2bo4b3obo2bo2b2obob2obo3bobo2b3o4b4o3b3obo2b5o$b4o4b2obo4b2ob2ob3obo
4b3obo2bobo3b2o2b2o2b7obo2b2ob2o2b3obobob6ob2ob4o2bo3bo$3ob2obo4bo3b3o
2b3ob8o2b4ob3o2b4obo3bo2b5obobo2bobo7bobo7bob2o$o2bobo2bobo2bob4o2b5o
2b3o2b2o2b3o4b4obo2bo2bo3b2o2bo2bo2b2ob2ob2o3bo3b3o2bo2b2obo2bo$4bo2bo
2b2ob3ob4o2b5o5bo4b4ob3ob4o2b5o2b2o3bob5o2b3o2b2ob2o4bo2b2ob2obobo$bo
2bobobobob4o8bo2bob2obo4b3obobo5bobobobo2b2o2bo2bo3b2o2bob2o2b2o3b4ob
2ob3obo2bo$3bo2b2o2bob3ob3ob4obob4obo2b4o3bob4o4b3o7bo2bo2bobob5o6bo4b
2o2bob3o$2bobobo3bob3ob4obo2b2o5bobobobo2bobob5o4bob4obo3bobo3b3obob5o
bobobob3o2bo5bo$3obobo2bo4b4o3bo3bob2o4b2ob5o3bo2bob2ob3ob2o2b2o2b4o3b
2obobob2obo2b2o3b2o2b3ob3o$5obo3b2o2bob2o2bo2bo3b9obob4o3b5o7b3o2bo2b
2o2b2ob3o2bob3o2b7o4b2obo$o7b3ob4o2bob3o3b2ob2o3b2obo2b4obob2ob4o2b4o
3bo2b2o6b6o2b2o3b3ob3o2b2obo$2b3o2bob4obob2o2b3o2bobob4ob2o2b6ob3o2bo
3bob6o3bob2obo3b3o2bob5o2bobobo5b2o$2b2ob4obob2o4bob3ob4ob2o7b2obo3bob
o2bobo3b3o2b4obob2obo2b3obob4ob2o3bobobo$bo2bob3ob11o4bo3b2o2b7o2b3o2b
obobo3b7obob3obobobo3bob2obo2b2o2b2o4b2o2bo$bob2o6b2ob2o2bo2b2ob3o2b3o
b3obob3o3b3ob2obob4obo5bo2bobo2b3o3bobobob7obobo$b2o3bob3o5b3o2bob4ob
4ob2ob4o4bo2b2obo2bo3b4obobobobobob3o2bo2b4o2bob4ob3o3bo$ob9o2b4obo2b
2o3bo2b7ob3o2b2obob2obo4bob2o3b3o2b3o2bobob4o2bo5b2ob3ob3obo$o2b3obo3b
5o9b2ob2o2bo6bo4b2obo2bo3b3obobob3obobo4b3obob7o2bob3obob2obo$2o2b2ob
3o2b2ob2o6b4o2b2o2bobo2b2o3b2obob2o4b2o2b4ob2ob3obo2b3o2b2o4bo3b3ob2o
4bo$6o3b3o3bobob3o2b2obo3bob4o3b2o3b3ob2o2b5ob2obobo2b2o2b3o2bo2bo2b3o
bo2b2o2bob2o$2b2o2b2ob2ob3o3bobob2ob2ob2o2bobo2bo2b4obobo3bobob2ob2ob
2ob4ob2obob3ob7ob3obob6o$2bo2b4o3bo2b2ob4o3bobobob3o5bob2obo2b2o4b2obo
bo2b2ob5o2b2o2bob2o2bo5bo2b2obo2b3o$o4bo3b2obo2b5obobob3ob2o4bob2obo2b
2ob3ob2o2bob2o2bobob6ob6obob2obobo5bobobobo$b3obo3b11o5b2obo2bo3bobobo
b3ob2ob2ob6o3b4o3bo2bo5b9o7b2o2bo$o7bobob2o2bo2bob3obobob2o4bo2b4obobo
bo2bob2obobo5b2obob3o2b4obo3bobobob4o5bo$2b7o2b5o5b4ob3o3bobo2bob2obob
3o2b2o2bobo3bobo3bo2b2o2bob5o2bob2o2bo5bobob2o$obo4b2obob5o2bo2b2ob2ob
ob3o8bobo3bobo3bob2o2b3o2b7o2b5ob3obo2b5ob2o4b2o!

Spaceship found:
x = 5, y = 3, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
bo2bo$obo$bo2bo!
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Re: 2D Replicator Classes

Postby PHPBB12345 » January 12th, 2018, 4:50 am

P6:
x = 21, y = 27, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
10bo2$8bo3bo2$6bo3bo3bo2$6bo3bo3bo2$6bo3bo3bo2$obobo3bo3bo3bobobo2$obo
bo3bo3bo3bobobo2$obobo3bo3bo3bobobo2$obobo3bo3bo3bobobo2$6bo3bo3bo2$6b
o3bo3bo2$6bo3bo3bo2$8bo3bo2$10bo!

Failed oscillator:
x = 53, y = 53, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
28bobo20$26bo$25bobo$o25bo2$o$21bo9bo$20bobo7bobo$21bo9bo$52bo2$26bo
25bo$25bobo$26bo20$22bobo!
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Re: 2D Replicator Classes

Postby KittyTac » January 24th, 2018, 4:23 am

What class is this?

x = 17, y = 14, rule = B34-ac/S23
$14bo$13b3o$12bo2b2o$11bo3bo$12bobo$13bo$8bo$7bobo$6bo3bo$5b2o2bo$6b3o
$7bo!
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Re: 2D Replicator Classes

Postby 77topaz » January 24th, 2018, 6:51 am

PHPBB12345 wrote:P6:
x = 21, y = 27, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
10bo2$8bo3bo2$6bo3bo3bo2$6bo3bo3bo2$6bo3bo3bo2$obobo3bo3bo3bobobo2$obo
bo3bo3bo3bobobo2$obobo3bo3bo3bobobo2$obobo3bo3bo3bobobo2$6bo3bo3bo2$6b
o3bo3bo2$6bo3bo3bo2$8bo3bo2$10bo!



Nice! It utilises a Margolus mechanism which is the same as the Margolus mechanism as that of the 2x2 rule (B36/S125), except using a different two-by-two block as the medium (one live cell and three dead cells, as opposed to four live cells). Here is its 2x2 counterpart:

x = 22, y = 28, rule = B36/S125
10b2o$10b2o$8b2o2b2o$8b2o2b2o$6b2o2b2o2b2o$6b2o2b2o2b2o$6b2o2b2o2b2o$
6b2o2b2o2b2o$6b2o2b2o2b2o$6b2o2b2o2b2o$6o2b2o2b2o2b6o$6o2b2o2b2o2b6o$
6o2b2o2b2o2b6o$6o2b2o2b2o2b6o$6o2b2o2b2o2b6o$6o2b2o2b2o2b6o$6o2b2o2b2o
2b6o$6o2b2o2b2o2b6o$6b2o2b2o2b2o$6b2o2b2o2b2o$6b2o2b2o2b2o$6b2o2b2o2b
2o$6b2o2b2o2b2o$6b2o2b2o2b2o$8b2o2b2o$8b2o2b2o$10b2o$10b2o!
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Re: 2D Replicator Classes

Postby BlinkerSpawn » January 24th, 2018, 10:14 am

PHPBB12345 wrote:Failed oscillator:
x = 53, y = 53, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
28bobo20$26bo$25bobo$o25bo2$o$21bo9bo$20bobo7bobo$21bo9bo$52bo2$26bo
25bo$25bobo$26bo20$22bobo!

S2ae are wildcard transitions, surprisingly enough:
x = 55, y = 55, rule = B2ce3y4e5y6c/S1c2aei3ciy4ct5ey6i7e8
28b2o$29bo20$27bo$26bobo$27bo2$2o$o21bo9bo$21bobo7bobo$22bo9bo21bo$53b
2o2$27bo$26bobo$27bo20$25bo$25b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: 2D Replicator Classes

Postby AbhpzTa » January 24th, 2018, 1:59 pm

KittyTac wrote:What class is this?

x = 17, y = 14, rule = B34-ac/S23
$14bo$13b3o$12bo2b2o$11bo3bo$12bobo$13bo$8bo$7bobo$6bo3bo$5b2o2bo$6b3o
$7bo!

Class S.
x = 40, y = 25, rule = B34-ac/S23
23bo$22b3o$21b2o$21bo$20bo$18b2o$17b2o$16b2o$17bo7$38bo$7bo30b2o$6b3o
28b2o$5b2o29b2o$5bo29bo$4bo29bo$2b2o29b2o$b2o28b3o$2o30bo$bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: 2D Replicator Classes

Postby KittyTac » January 24th, 2018, 11:17 pm

Note that it needs two halves to replicate cleanly.
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Re: 2D Replicator Classes

Postby muzik » March 18th, 2018, 3:20 pm

So if a replicator replicates in two directions forms a line, three directions forms a sierpinski triangle, and four ways forms a quadrilateral as usual, what happens if a replicator replicates in five directions? What shape would be formed then?
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Re: 2D Replicator Classes

Postby 77topaz » March 18th, 2018, 3:38 pm

muzik wrote:So if a replicator replicates in two directions forms a line, three directions forms a sierpinski triangle, and four ways forms a quadrilateral as usual, what happens if a replicator replicates in five directions? What shape would be formed then?


I don't think any such replicator can exist in an isotropic rule, but you could make a MAP string to try and fine one. For one thing, it'd depend on how you picked the five directions.
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Re: 2D Replicator Classes

Postby danny » March 18th, 2018, 3:54 pm

77topaz wrote:I don't think any such replicator can exist in an isotropic rule,

What makes that impossible? Say the R-pentomino expands, and by chance it creates 5 other R-pentominoes 80 generations later, and also by chance they all interact cleanly?
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Re: 2D Replicator Classes

Postby muzik » March 18th, 2018, 4:39 pm

Here's one of the smallest 3-ways I could get using MAP:

x = 1, y = 1, rule = MAPIIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!


Having no luck finding 5- or 7-way analogues.
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Re: 2D Replicator Classes

Postby 77topaz » March 18th, 2018, 5:41 pm

danny wrote:
77topaz wrote:I don't think any such replicator can exist in an isotropic rule,

What makes that impossible? Say the R-pentomino expands, and by chance it creates 5 other R-pentominoes 80 generations later, and also by chance they all interact cleanly?


I think that the limitations of the square grid would prevent that from working correctly. With MAP strings you could theoretically get something to expand vertically, horizontally and on one diagonal, but that may not quite work for something larger than a single dot even with MAP strings and it certainly wouldn't in an isotropic rule.
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Re: 2D Replicator Classes

Postby KittyTac » March 18th, 2018, 10:23 pm

muzik wrote:Here's one of the smallest 3-ways I could get using MAP:

x = 1, y = 1, rule = MAPIIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!


Having no luck finding 5- or 7-way analogues.


The trail from it produces what I call "Meta-Sierpinski Triangle".
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Re: 2D Replicator Classes

Postby 77topaz » March 18th, 2018, 10:37 pm

KittyTac wrote:The trail from it produces what I call "Meta-Sierpinski Triangle".


I don't see why you'd call it a meta-Sierpinski triangle; it's just a regular Sierpinski triangle, but skewed.
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Re: 2D Replicator Classes

Postby KittyTac » March 19th, 2018, 2:07 am

77topaz wrote:
KittyTac wrote:The trail from it produces what I call "Meta-Sierpinski Triangle".


I don't see why you'd call it a meta-Sierpinski triangle; it's just a regular Sierpinski triangle, but skewed.


The trails overlap, producing another fractal.
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Re: 2D Replicator Classes

Postby muzik » March 19th, 2018, 7:20 am

Here's a, uh, one?
x = 2, y = 2, rule = MAPaIAAAIAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o$bo!
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Re: 2D Replicator Classes

Postby 77topaz » March 19th, 2018, 3:34 pm

muzik wrote:Here's a, uh, one?
x = 2, y = 2, rule = MAPaIAAAIAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o$bo!


Nice! It produces one quarter of an octagon, thanks to the oblique (camelwise, to be precise) replication.
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Re: 2D Replicator Classes

Postby muzik » March 28th, 2018, 6:27 am

x = 4, y = 4, rule = B2a3a4r5i/S01e3a4ar6c
2o$o$3bo$2b2o!
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Re: 2D Replicator Classes

Postby muzik » May 26th, 2018, 4:10 pm

x = 8, y = 8, rule = B2ci3aei/S1e2-ak3i
7bo2$7bo5$obo!
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Re: 2D Replicator Classes

Postby Redstoneboi » May 29th, 2018, 3:27 am

muzik wrote:
x = 8, y = 8, rule = B2ci3aei/S1e2-ak3i
7bo2$7bo5$obo!

did you mean
x = 8, y = 8, rule = B2ci3aei/S1e2-ak3i
6bo$5b3o$6bo3$bo$3o$bo!
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Re: 2D Replicator Classes

Postby 77topaz » May 29th, 2018, 4:50 am

Redstoneboi wrote:
muzik wrote:
RLE

did you mean
RLE


Muzik's one is also a replicator, just an unusual case of a "dirty" one, one of the classes discussed in this thread.
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Re: 2D Replicator Classes

Postby muzik » May 30th, 2018, 5:52 pm

Redstoneboi wrote:
muzik wrote:
x = 8, y = 8, rule = B2ci3aei/S1e2-ak3i
7bo2$7bo5$obo!

did you mean
x = 8, y = 8, rule = B2ci3aei/S1e2-ak3i
6bo$5b3o$6bo3$bo$3o$bo!

I fail to see why I would have.
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Re: 2D Replicator Classes

Postby Redstoneboi » May 30th, 2018, 7:57 pm

sorry, didn't backread
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Re: 2D Replicator Classes

Postby 2718281828 » May 30th, 2018, 8:47 pm

x = 8, y = 13, rule = B2ce3ai/S1e2ace3-acjk4t
3$bo$bo3$3o!

and a modified version:
x = 8, y = 6, rule = B2ce3ai/S1e2ace3-acjk4t
o$o5bo$6bo3$5b3o!

a double version:
x = 10, y = 6, rule = B2ce3ai/S1e2ace3-acjk4t
obo$8bo$8bo3$7b3o!

and four of them:
x = 11, y = 11, rule = B2ce3ai/S1e2ace3-acjk4t
10bo$6b2o2bo$10bo4$bo$bo3$3o!
Last edited by 2718281828 on May 31st, 2018, 3:00 am, edited 1 time in total.
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Re: 2D Replicator Classes

Postby 77topaz » May 30th, 2018, 10:38 pm

Nice! It's a 1D replicator, but the 1D "axis" moves, causing it to puff debris behind it. The debris also (eventually) gains a Sierpinski triangle shape due to the XOR behaviour of the replicators.
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