Rules likely to have high period gliders

[drc]

Post rules that have mechanisms that may lead to the discovery of a high period glider or linear growth. For example, I posted about the rule B2-a3-ai4-a5678/S123-i5678, which led to a natural (2,1)c/65 knightship:

Code: Select all

x = 16, y = 16, rule = B2-a3-ai4-a5678/S123-i5678
oobobboobbooobbb$
oboobbbbbboobbbb$
bobbobbbbbobobbb$
ooobbbobbobbboob$
bobboobboobooboo$
obobbobobbbboobo$
bobobbbbbobbboob$
oboooobobbooobbo$
ooobobooboboobbo$
boobbbboobbbbbbo$
obobooboobbbbobb$
bobboobbobboboob$
oboobbbbbboooobb$
obbobbbbooobbobo$
ooobooobooooobbo$
obbobobbooobobbb!

As well as a natural c/11:

Code: Select all

x = 16, y = 16, rule = B2-a3-ai4-a5678/S123-i5678
boobobbbbbbbbbob$
oobobobbbbobbbbo$
oobbbboboboobobb$
oooboboobbbobboo$
obbbboooboobbbob$
obbbboooooooobbb$
oboobboboboboooo$
bbbboobobboobooo$
boobboobbbbobbbo$
ooobbbboobobobbb$
oobobbbobbbbobbb$
obbbbbbobboooboo$
obbooobboooobboo$
oooobobobboooobb$
oobbooobobooobbb$
bbbbboboobbbooob!

But I feel like those aren't weird enough. I'm currently searching B2-a3-ai4-a5678/S1235-i678, which seems to have more erratic behaviour:

Code: Select all

x = 16, y = 16, rule = B2-a3-ai4-a5678/S1235-i678
2bob3o2b2obobo$2bo2bo3bob4o$b2o2bo2b2o2bo2bo$obo2bo2bobo2bobo$b7ob4ob
2o$bo2bob2o$bobo2bobobo2bo$2obobo3bo2b2o$o2bo3b3obobo$2o2b2obob2ob2o$
2o2b3ob2ob2ob2o$o2b2o3bo3bo$obobo2bo7bo$o2bo2bob4o2b2o$bo8bo3b2o$2obo
5b2o2bobo!

There are a lot of ov_s/p and PATHOLOGICAL, and I'm afraid one of the latter will be just a really high period spaceship.
EDIT: Okay, removing B5a makes it REALLY weird:

Code: Select all

x = 16, y = 16, rule = B2-a3-ai4-a5-a678/S1235-i678
2bob3o2b2obobo$2bo2bo3bob4o$b2o2bo2b2o2bo2bo$obo2bo2bobo2bobo$b7ob4ob
2o$bo2bob2o$bobo2bobobo2bo$2obobo3bo2b2o$o2bo3b3obobo$2o2b2obob2ob2o$
2o2b3ob2ob2ob2o$o2b2o3bo3bo$obobo2bo7bo$o2bo2bob4o2b2o$bo8bo3b2o$2obo
5b2o2bobo!

EDIT2: Maybe a bit too weird:

Code: Select all

x = 6, y = 4, rule = B2-a3-ai4-a5-a678/S1235-i678
2bo$b3o$3ob2o$bo2b2o!

[muzik]

EDIT2: Maybe a bit too weird:

Code: Select all

x = 6, y = 4, rule = B2-a3-ai4-a5-a678/S1235-i678
2bo$b3o$3ob2o$bo2b2o!

I don't know about you, but that feels like a step in the direction of adjustable-speed diagonal ships, just like AbhpzTa's recent discovery of B2c3ae4ai56c/S2-kn3-enq4.

[drc]

An extensible c/5 orthogonal in a relative:

Code: Select all

x = 8, y = 19, rule = B2-a3-ai4-a5-a678/S1235-in678
6bo$4b4o$4b2obo$4b4o$3b4o$2bob2o$4bo3$6bo$4b4o$4b2obo$4b4o$3b4o$bob3o$
5o$3o$4o$2bo!

Found by running manual soups, because apgsearch most likely couldn't handle this at all.

Rule with a weird puffer/quadratic thing:

Code: Select all

x = 2, y = 3, rule = B2-a3-ai4-a5-a678/S123-ey5-i678
o$2o$o!

[drc]

I've discovered a more interesting rule.

Unfortunately, it can explode when diagonal symmetry is involved:

Code: Select all

x = 5, y = 5, rule = B2-a3-i45678/S123-a5-i678
obo$b4o$4o$b2o$bo!

The natural speeds are c/5 diagonal, c/9 diagonal, c/3 orthogonal, and c/4 orthogonal:

Code: Select all

x = 27, y = 13, rule = B2-a3-i45678/S123-a5-i678
2o6b2o7bo5bo$3ob2o2b4o2b3o4b4o$bo3bo3b2o6bo5bo$3bo5bo$bo$b2o18bo2bo$
22b4o$24bo3$22bo2bo$21bob4o$22bo2bo!

However a few unnatural ships exist, like this 4c/21 orthogonal:

Code: Select all

x = 10, y = 3, rule = B2-a3-i45678/S123-a5-i678
3ob3o$o2b7o$3ob3o!

And a c/5 orthogonal:

Code: Select all

x = 5, y = 6, rule = B2-a3-i45678/S123-a5-i678
bo2bo$ob3o$5o$b4o$2bo$2b2o!

EDIT: 3c/34 orthogonal linear growth:

Code: Select all

x = 8, y = 3, rule = B2-a3-i45678/S123-a5-i678
2bo2bo$2ob2ob2o$2bo2bo!