Miscellaneous Discoveries in Other Cellular Automata

[AforAmpere]

First knightship in a B2a rule? (2,1)c/7

Code: Select all

x = 2, y = 5, rule = B2ain3aceny4-aeirz5jknry6aek8/S02n3c4kry5inr6i
o2$bo2$bo!

[wwei23]

I wonder what this will do:

Code: Select all

x = 1, y = 1, rule = 23/03/3
A!

[AforAmpere]

4c/7! Finally, I think this is the second velocity between c and c/2 that is not a 2c/3. Can someone confirm this?

Code: Select all

x = 4, y = 1, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
2obo!

[wwei23]

Potential p652 in a rule that borders on explosive, but doesn't explode

Code: Select all

x = 3, y = 4, rule = B3_S235e
2o$b2o$2o$o!

What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

[Gamedziner]

What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

For the honey farms, the interaction that destroys the tub cannot occur here due to s5e. Interestingly, this interaction only occurs once (between T = 11 and T = 12 in the code below) for both tub destruction and usage of s5e.

Code: Select all

x = 5, y = 5, rule = B3_S235e
2bo$b3o$o3bo$b3o$2bo!

[praosylen]

First knightship in a B2a rule? (2,1)c/7

Code: Select all

x = 2, y = 5, rule = B2ain3aceny4-aeirz5jknry6aek8/S02n3c4kry5inr6i
o2$bo2$bo!

This is really interesting! I don't know of any others, but I feel like a p5 knightship might be possible in Live Free or Die (based on preliminary JLS searches, although I may not be remembering correctly).

4c/7! Finally, I think this is the second velocity between c and c/2 that is not a 2c/3. Can someone confirm this?

Code: Select all

x = 4, y = 1, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
2obo!

I know of two others, both in B0 rules (5c/8 orthogonal and 3c/4 diagonal, although I don't remember where I saw the former). I feel like I've seen a 3c/4 or a 3c/5 somewhere before, too, but I don't remember for sure. Anyway, that's a pretty good discovery, and definitely the smallest possible example of such a velocity. A puffer:

Code: Select all

x = 4, y = 11, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
3o$2b2o$3o8$2obo!

EDIT: Here's a 3c/4 puffer:

Code: Select all

x = 11, y = 7, rule = B2-ek3ak/S03j4in
3b2ob2o$2b2o3b2o$b2o5b2o$2b2o3b2o$b2obobob2o$4bobo$o9bo!

[Apple Bottom]

I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.

Good idea; here it is.

[AforAmpere]

This is the only 3c/5 that I know of, found by Wildmyron, but first identified by me (it was found using Wildmyron's script).

Code: Select all

x = 3, y = 3, rule = B2-ek3-ijn4-cjkn5-aqry6en7c8/S02ain3ceiqr4jqw5-ak6an
2bo$o$2bo!

Where did that 3c/4 puffer come from?

[muzik]

I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.

Good idea; here it is.

...and the other "it".

[praosylen]

Where did that 3c/4 puffer come from?

Manual fiddling and luck.

Here's an even more improbable ship:

Code: Select all

x = 11, y = 5, rule = B2aci3aq4j/S03j4i
2bob3obo$5bo$2bob3obo2$o2bo3bo2bo!

[wwei23]

What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

For the honey farms, the interaction that destroys the tub cannot occur here due to s5e. Interestingly, this interaction only occurs once (between T = 11 and T = 12 in the code below) for both tub destruction and usage of s5e.

Code: Select all

x = 5, y = 5, rule = B3_S235e
2bo$b3o$o3bo$b3o$2bo!

And the small lakes?

[AforAmpere]

Where did that 3c/4 puffer come from?

Manual fiddling and luck.

Here's an even more improbable ship:

Code: Select all

x = 11, y = 5, rule = B2aci3aq4j/S03j4i
2bob3obo$5bo$2bob3obo2$o2bo3bo2bo!

Nice! All orthogonal speeds of p4 have been found! Next is a 4c/5 ship.

EDIT, 3c/4 rake:

Code: Select all

x = 31, y = 27, rule = B2aci3aq4j/S03j4i
10$16bo$18bobo$18bo2bo$9bo7bo3b2o$11bo7b2obo$11bo4b3ob3o$9bo9b2obo$17b
o3b2o$18bo2bo$18bobo$16bo!

[muzik]

Nice! All orthogonal speeds of p4 have been found!

...assuming you don't count larger than life rules.

[AforAmpere]

Nice! All orthogonal speeds of p4 have been found!

...assuming you don't count larger than life rules.

Yeah, I'm not going to do stuff like this 10c/4, I only mean R1 rules:

Code: Select all

x = 4, y = 8, rule = R4,C0,M0,S8..9,B8..9,NM:P2000,2000
b2o$3o$4o$b2o$4o$4o$4o$4o!

[toroidalet]

What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

For the honey farms, the interaction that destroys the tub cannot occur here due to s5e. Interestingly, this interaction only occurs once (between T = 11 and T = 12 in the code below) for both tub destruction and usage of s5e.

Code: Select all

x = 5, y = 5, rule = B3_S235e
2bo$b3o$o3bo$b3o$2bo!

And the small lakes?

sigh...
The small lakes occur from the T, a really common pattern in almost any rule close to B3/S23.

Code: Select all

x = 3, y = 2, rule = B3/S235e
3o$bo!

A replicator wave:

Code: Select all

x = 147, y = 4, rule = B34c/S23-c4e
bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo8bo$obo6bobo6bobo6bobo
6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo$obo
6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo
6bobo6bobo$obo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo6bobo
6bobo6bobo6bobo6bobo6bobo!

Remember these 2 cool puffers?
23c/84:

Code: Select all

x = 5, y = 4, rule = B34z/S236ei
2bo$b3o$o3bo$2ob2o!

19c/111:

Code: Select all

x = 3, y = 4, rule = B3-k4z/S236e8
bo$obo$obo$obo!

[praosylen]

The smallest possible ship (by single phase) in a B1e rule:

Code: Select all

x = 2, y = 3, rule = B1e2c4/S2a
o$bo$2o!

[drc]

Trippy thing in related rule:

Code: Select all

x = 2, y = 3, rule = B1e4r/S2a
o$bo$2o!

[drc]

I engineered a p6 and p12 gun:

Code: Select all

x = 9, y = 85, rule = B1e4ci5i/S02a3ai4q5i
2b2o$2b2o2$2o5b2o$2o5b2o3$4bo$2o5b2o$2o5b2o4$2o2bo2b2o$2o5b2o3$2o$2o$
2o$2o5b2o$2o2bo2b2o4$2o5b2o$2o5b2o$4bo3$2o5b2o$2o5b2o2$2b2o$2b2o16$2b
2o$2b2o2$2o5b2o$2o5b2o4$2o5b2o$2o5b2o4$2o2bo2b2o$2o5b2o3$2o$2o$2o$2o5b
2o$2o2bo2b2o4$2o5b2o$2o5b2o4$2o5b2o$2o5b2o2$2b2o$2b2o!

[muzik]

Funny how their speed is also their appearence.

[toroidalet]

Funny how their speed is also their appearence.

I didn't get this.
Nice oscillator in a rule containing A for Awesome's 4-cell B1e ship:

Code: Select all

x = 24, y = 11, rule = B1e2c4r/S01e2ai3i
19b5o$19bobobo3$3b12o6b2o$2o20bo$b5ob8o6b2o$2o$5b2o$5bo13bobobo$5b2o
12b5o!

(yes, I know it's 2 oscillators, don't need to spell this out for me.)

[muzik]

Funny how their speed is also their appearence.

I didn't get this.

...they travel at c and they look like c?

[AforAmpere]

5c/8 in a non-B0 rule:

Code: Select all

x = 3, y = 3, rule = B2aci3akn4aekqryz5cjknr6aek8/S03i4r5cn
2bo$o$2bo!

6c/9:

Code: Select all

x = 2, y = 5, rule = B2-e3-aijy4citw5ijkny6-n/S03ejk4cny5ijr
bo2$o2$bo!

[AforAmpere]

C/2 in a B1e rule, does a smaller one exist?:

Code: Select all

x = 3, y = 4, rule = B1e2c3er4j5i/S2aek3iqr4aiw5q
obo2$3o$obo!

p24:

Code: Select all

x = 10, y = 7, rule = B1e2c3er4j5i/S2-cn3iqr4aiw5q
b8o$o8bo$o4bo3bo$o3b2o3bo$o4bo3bo$o8bo$b8o!

[BlinkerSpawn]

C/2 in a B1e rule, does a smaller one exist?:

Code: Select all

x = 3, y = 4, rule = B1e2c3er4j5i/S2aek3iqr4aiw5q
obo2$3o$obo!

Yes; one of each kind:

Code: Select all

x = 3, y = 3, rule = B1e2c4r8/S12a3ej5e7
3o$bo$obo!

Code: Select all

x = 3, y = 3, rule = B1e2c3a6c/S12-e3-ajn4-r56
3o$b2o$obo!

[drc]

C/2 in a B1e rule, does a smaller one exist?:

Code: Select all

x = 3, y = 4, rule = B1e2c3er4j5i/S2aek3iqr4aiw5q
obo2$3o$obo!

Yes; one of each kind:

Code: Select all

x = 3, y = 3, rule = B1e2c4r8/S12a3ej5e7
3o$bo$obo!

Code: Select all

x = 3, y = 3, rule = B1e2c3a6c/S12-e3-ajn4-r56
3o$b2o$obo!

Smaller 1st one:

Code: Select all

x = 3, y = 3, rule = B1e2c3r5e7c/S01e2i3j7
3o2$obo!

I think this is the smallest possible
EDIT: Smaller 2nd one too:

Code: Select all

x = 3, y = 3, rule = B1e2c3a5k6c/S01e4i
2o$2bo$obo!

I also think this is the smallest possible