Maze(B3/S12345)

[F1012]

As everyone knows, this rule makes patterns that look like mazes. But there’s also a lot of interesting stuff such as this c/3 wickstretcher with a 2c/3 vine climbing onto it, then burning backwards:

Code: Select all

x = 37, y = 11, rule = B3/S12345
3bobobobobobobobobobobobobobobobob2o$b5obobobobobobobobobobobobobobob
o$bobobobobobobobobobobobobobobobobobo$2obobobobobobobobobobobobobobo
bobob2o$b3obobobobobobobobobobobobobobobobo$3bobobobobobobobobobobobo
bobobobobo$3b3obobobobobobobobobobobobobobob2o$5bobobobobobobobobobob
obobobobobo$13b3obobobobobobobobobobo$14b23o$16bobobobobobobobobobobo
!

…and a lot more.

[TheWayOfTheCon]

I was very surprised to see that this rule did not have a dedicated thread (that my 30-second or so search could not pick up).

[F1012]

Well, I can’t find much about this rule since not much people mind it. Now most people either like CGoL or INT rules more.

[Drelectron8]

There are quite a few notable things about this rule, for instance, the lack of any spaceships only promotes the growth of wickstretchers and still lives. Here are some I collected from other posts:

2c/7 wickstretcher and two 4c/9 wickstretchers

Code: Select all

x = 59, y = 15, rule = B3/S12345
5bo4bo13bo6bo11b3ob2o2bo$4b8o11b4o2b4o8b8ob3o$b2o4b2o4b2o8bobob2obobo
8bo6b6o$b6o2b6o6b14o5b8o5bo$2o5b2o5b2o5bo12bo6bo6b7o$b6o2b6o5b16o4b8o
5bo$o6b2o6bo32b8o$b6o2b6o5b16o4b8o9bo$2o2bobo2bobo2b2o4bo2bo2bo2bo2bo
2bo12b8obo$40b8o9b2o$48b10o$40b8o9b2o$48b10o$40b8obo2bo2bob2o$40bo2bo
2bobo!

The most common wickstretcher is a c/3. Here it is:

Code: Select all

x = 14, y = 13, rule = B3/S12345
2$4b2o$5b3o$5bob2o$7b3o$7b2o$5bobo$5b3o$4b2o!

Has anyone managed to find other speeds other than c/3, 2c/7 or 4c/9? Perhaps these are the only possible ones considering it may be hard to look for other wickstretchers with a normal search program.

[melwin22]

…and a lot more.

Well, it would be quite nice if you showed some more notable things then.

Only p2 oscillators are listed on the wiki page, so I present to you this p3:

Code: Select all

x = 10, y = 6, rule = B3/S12345
2b2o2b2o$o2b4o2bo$b3o2b3o$3bo2bo$b3o2b3o$ob2o2b2obo!

and p4:

Code: Select all

x = 10, y = 11, rule = B3/S12345
4b2o$2bo4bo$3b4o$2b2o2b2o$o2bo2bo2bo$b3o2b3o$2obo2bob2o$b3o2b3o$o2b4o
2bo$2bo4bo$4b2o!

[I6_I6]

[...]
and p4:

Code: Select all

x = 10, y = 11, rule = B3/S12345
4b2o$2bo4bo$3b4o$2b2o2b2o$o2bo2bo2bo$b3o2b3o$2obo2bob2o$b3o2b3o$o2b4o
2bo$2bo4bo$4b2o!

Stator reduced by hand:

Code: Select all

x = 10, y = 11, rule = B3/S12345
4b2o$2bo4bo$3b4o$2b2o2b2o$bo6bo$obo4bobo$bo6bo$2b2o2b2o$3b4o$2bo4bo$4b
2o!

[LaundryPizza03]

[...]
and p4:

Code: Select all

x = 10, y = 11, rule = B3/S12345
4b2o$2bo4bo$3b4o$2b2o2b2o$o2bo2bo2bo$b3o2b3o$2obo2bob2o$b3o2b3o$o2b4o
2bo$2bo4bo$4b2o!

Stator reduced by hand:

Code: Select all

x = 10, y = 11, rule = B3/S12345
4b2o$2bo4bo$3b4o$2b2o2b2o$bo6bo$obo4bobo$bo6bo$2b2o2b2o$3b4o$2bo4bo$4b
2o!

Smallest possible:

Code: Select all

x = 10, y = 5, rule = B3/S12345
2b2o2b2o2$3o4b3o2$2b2o2b2o!

Also for the p3:

Code: Select all

x = 10, y = 4, rule = B3/S12345
2b2o2b2o2$3o4b3o$2b2o2b2o!

[melwin22]

An asymmetric rotor - possibly the first known one?

Code: Select all

x = 9, y = 9, rule = B3/S12345
2bobobobo$2bobobobo$obo3bo$bo5bo$2obo4bo$3bo2b3o$3b3o$6bo$3b2o!

I also noticed that there is a very common sort-of-wickstretcher, moving at (2,3)c/8. It never fully stabilizes, often flips between (2,3) and (3,2), and usually breaks after 5-50 cycles, but sometimes it seems to live forever. Look at the north-west corner of this pattern:

Code: Select all

x = 4, y = 3, rule = B3/S12345
o$o$4o!

I wonder if it can be properly stabilized.