B3578/S23 (2d replicators!)

[muzik]

Code: Select all

x = 7, y = 7, rule = B3578/S23
3o$obo2bo$3o2$4b3o$4bobo$4b3o!

Code: Select all

x = 9, y = 3, rule = B3578/S23
2o5b2o$2o5b2o$2o5b2o!

A shuttle:

Code: Select all

x = 33, y = 33, rule = B3578/S23
19b2o$19b2o11$2o$2o6$31b2o$15b4o3b4o5b2o11$12b2o$12b2o!

[drc]

This was posted somewhere else a while ago

[Bullet51]

P28 and P56(=28*2):

Code: Select all

x = 42, y = 18, rule = B3578/S23
9b2o$9b2o3$6b3o$8bo$8bo4bo$2o11bo$2o9b3o17bo6bo$4b3o9b2o11bobo6bobo$4b
o11b2o10bo3bo4bo3bo$4bo4bo22bo4bo$9bo21b2o4b2o$9b3o3$7b2o$7b2o!

[muzik]

Decided to test the messy replicator after the tragic observation in B34tw5y/S23. As it seems, the messy replicator also fails to replicate infinitely, being taken over by the clean one in about 18500 gens.


Oh well.

[muzik]

Failed 1D replicator:

Code: Select all

x = 3, y = 8, rule = B3578/S23
3o$3o5$3o$3o!

I wonder, could this be made into a 6c/41 spaceship?

[BlinkerSpawn]

No, but there's a nice p48 oscillator in here somewhere...

Code: Select all

x = 17, y = 18, rule = B3578/S23:T0,18
5$o8b3o4bo$o8b3o4bo$o15bo3$o15bo$o8b3o4bo$o8b3o4bo!

I couldn't find any stabilizations for the free ends, but my search wasn't anything more than "go through all the good locations for blocks and blinkers and see that they don't work".

[AbhpzTa]

p82 wick (stabilized):

Code: Select all

x = 327, y = 47, rule = B3578/S23
309bo$309bo$309bo$309bo$309bo$309bo$17bo291bo$17bo276b2o13bo$17bo276b
2o13bo8b2o$17bo177b3o26b3o14b3o26b3o36bo8b2o$17bo291bo$17bo159b3o16bo
28bo16bo28bo37bo$17bo$17bo13b2o114b3o28bo$7b2o8bo13b2o$7b2o8bo36b3o26b
3o14b3o26b3o16bo$17bo$17bo37bo28bo16bo28bo60bo3b3o3bo18bo3b3o3bo6bo3b
3o3bo18bo3b3o3bo9b12o$162bo2bo24bobo7bobo16bobo7bobo4bobo7bobo16bobo7b
obo$161b2o2bo7bo3b3o3bo6bobo7bobo16bobo7bobo4bobo7bobo16bobo7bobo$160b
3obo7bobo7bobo6bo3b3o3bo18bo3b3o3bo6bo3b3o3bo18bo3b3o3bo$143bo3b3o3bo
7bo10bobo7bobo$142bobo7bobo10bo7bo3b3o3bo$29b12o9bo3b3o3bo18bo3b3o3bo
6bo3b3o3bo18bo3b3o3bo6bobo7bobo7bob3o148b12o$49bobo7bobo16bobo7bobo4bo
bo7bobo16bobo7bobo6bo3b3o3bo7bo2b2o$49bobo7bobo16bobo7bobo4bobo7bobo
16bobo7bobo24bo2bo$50bo3b3o3bo18bo3b3o3bo6bo3b3o3bo18bo3b3o3bo60bo28bo
16bo28bo2$178bo16b3o26b3o14b3o26b3o$12o291bo$148bo28b3o123bo$293b2o8bo
$55bo28bo16bo28bo16b3o143b2o8bo13b2o$303bo13b2o$54b3o26b3o14b3o26b3o
171bo$23bo279bo$23bo279bo$23bo8b2o269bo$8b2o13bo8b2o269bo$8b2o13bo279b
o$23bo279bo$23bo$23bo$23bo$23bo$23bo$23bo!

[Bullet51]

No, but there's a nice p48 oscillator in here somewhere...

Code: Select all

x = 17, y = 18, rule = B3578/S23:T0,18
5$o8b3o4bo$o8b3o4bo$o15bo3$o15bo$o8b3o4bo$o8b3o4bo!

I couldn't find any stabilizations for the free ends, but my search wasn't anything more than "go through all the good locations for blocks and blinkers and see that they don't work".

At first I thought it needs a special-purpose p4 or p6 sparker, but the solution turned out to be simple:

Code: Select all

x = 25, y = 22, rule = B3578/S23
2o3b2o11b2o3b2o$3ob3o11b3ob3o$2o3b2o11b2o3b2o4$10bo$9bobo$3b3o3bobo7b
3o$10bo3$10bo$3b3o3bobo7b3o$9bobo$10bo4$2o3b2o11b2o3b2o$3ob3o11b3ob3o$
2o3b2o11b2o3b2o!

Is it found by a manual search?

[Bullet51]

A full-volatility P15:

Code: Select all

x = 18, y = 18, rule = B3578/S23
3b12o3$o5bo4bo5bo$o4b3o2b3o4bo$o3b3o4b3o3bo$o2b4ob2ob4o2bo$o3bo2b4o2bo
3bo$o5b2o2b2o5bo$o5b2o2b2o5bo$o3bo2b4o2bo3bo$o2b4ob2ob4o2bo$o3b3o4b3o
3bo$o4b3o2b3o4bo$o5bo4bo5bo3$3b12o!

[BlinkerSpawn]

No, but there's a nice p48 oscillator in here somewhere...

Code: Select all

rle

I couldn't find any stabilizations for the free ends, but my search wasn't anything more than "go through all the good locations for blocks and blinkers and see that they don't work".

At first I thought it needs a special-purpose p4 or p6 sparker, but the solution turned out to be simple:

Code: Select all

rle

Is it found by a manual search?

What, the blinker pair? Yes.

[muzik]

Code: Select all

x = 50, y = 43, rule = B3578/S23
48b2o$44b4o$41b3o$38b3o$36b2o$33b3o$31b2o$29b2o$27b2o$26bo$24b2o$23bo$
21b2obo$19b2o2bo$18bo3bo$16b2o4bo$15bo5bo$14bo6bo$12b2o7bo$11bo$10bo
28bo$8b2o27b2o$7bo17b5o5b2o$6bo16b2o3bo4b2o$5bo15b2o5bo2b2o$4bo14b2o6b
ob2o$3bo13b2o8b2o$2bo12b2o9b2o$bo11b2o10b2o$bo8b3o11b2o$o6b3o13b2o$2o
3b2o15b2o$2b3o16b2o$19b2obo$18bo2bo$17bo2bo$16bo2bo$16bobo$15bobo$14bo
bo$13bo2bo$13bobo$12b3o!

This scribble sends out a spaceship at around 10k gens, not common.

try not to get jumpscared by the nearby replicator.

[Rocknlol]

Here's a c/6 spaceship:

Code: Select all

x = 14, y = 33, rule = B3578/S23
6b2o$6b2o$6b2o$2b2o6b2o$b4o4b4o$2bo2bo2bo2bo$2bo3b2o3bo$4b6o2$2bo2bo2b
o2bo2$3b2o4b2o$5bo2bo2$6b2o$2bo8bo$2bob2o2b2obo$2b3o4b3o2$5bo2bo$5bo2b
o$5b4o3$2o2b2o2b2o2b2o$bo2b2o2b2o2bo3$o2bo6bo2bo$b2ob2o2b2ob2o$4b6o$4b
ob2obo$5b4o!

[muzik]

What I want to know, is are there any ways to stabilise the messy failed quadratic replicator and make it a true replicator?

(or are there any rules where it is, not counting Replicator/Fredkin)

[FWKnightship]

P390:

Code: Select all

x = 13, y = 13, rule = B3578/S23
10b2o$9bo2bo$9bob2o$10b2o6$b2o$o2bo$ob2o$b2o!

[LaundryPizza03]

The 12c/24o puffer engine from Pseudo Life also works in this rule. I haven't found much that is interesting and nonexplosive, but there is this 24c/48o puffer that doesn't work in the other rule:

Code: Select all

x = 56, y = 17, rule = B3578/S23
52bo$32bo15b4o2bo$30bobo6bo8bo6bo$8b2o19b2o7b3o7bo6bo$6b2o2bo17b2ob2o
16bo2bob2o$bo4b3obo17bo3bo18b3o$2o2bo3b3o$b2o26bobo2$b2o26bobo$2o2bo3b
3o$bo4b3obo17bo3bo18b3o$6b2o2bo17b2ob2o16bo2bob2o$8b2o19b2o7b3o7bo6bo$
30bobo6bo8bo6bo$32bo15b4o2bo$52bo!

This immediately leads to the following 4-engine cordership, also with period 48:

Code: Select all

x = 83, y = 27, rule = B3578/S23
4bo$4o2bo$o6bo$o6bo$bo2bob2o$3b3o73bo$59bo15b4o2bo$57bobo6bo8bo6bo$35b
2o19b2o7b3o7bo6bo$33b2o2bo17b2ob2o16bo2bob2o$b2o25bo4b3obo17bo3bo18b3o
$b2o24b2o2bo3b3o$28b2o26bobo2$28b2o26bobo$b2o24b2o2bo3b3o$b2o25bo4b3ob
o17bo3bo18b3o$33b2o2bo17b2ob2o16bo2bob2o$35b2o19b2o7b3o7bo6bo$57bobo6b
o8bo6bo$59bo15b4o2bo$3b3o73bo$bo2bob2o$o6bo$o6bo$4o2bo$4bo!

[Period1GliderGun]

What I want to know, is are there any ways to stabilise the messy failed quadratic replicator and make it a true replicator?

(or are there any rules where it is, not counting Replicator/Fredkin)

One transition away:

Code: Select all

x = 3, y = 9, rule = B3578/S23-c
3o$3o6$3o$3o!

[LaundryPizza03]

What I want to know, is are there any ways to stabilise the messy failed quadratic replicator and make it a true replicator?

(or are there any rules where it is, not counting Replicator/Fredkin)

One transition away:

Code: Select all

x = 3, y = 9, rule = B3578/S23-c
3o$3o6$3o$3o!

This also works, while adding the glider and preserving the other replicator but for a minor difference in the sparks:

Code: Select all

x = 3, y = 9, rule = B35-n78/S23
3o$3o6$3o$3o!

[FWKnightship]

2-engine 24c/48 spaceship:

Code: Select all

x = 17, y = 37, rule = B3578/S23
2b3o9bo$bo2bo8b3o$5bo6bo2b2o$o3b2o7bob2o$bo3bo7b4o$bo11b2o$bo2bo9b2o$b
3o11b2o3$12bo$b5o7bob2o$3obo8bo2bo$2bo11bobo7$12bo$10b5o$12bo6$15bo$
11bo3bo$10bo4bo$11bo$7bo2b2o4bo$9b2o3b3o$6bo4b2o$12bo$7b2obo!