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An exquisite p1144:

Rulespace defined by B2n3-qy4qy(4cejkt5e6ckn78)/S2-n3-a(-k)4atz(4ce5cekny6acein78)
or, in partial notation (note that 8s are optional):
pB2n3aceijknr-qy4qy-ainrwz5-acijknr6-aei78S2aceik-n3ceijnqr-a4atz-ijknrwy5-aijr6-k78

The "type rule" is B2n3-qy4eqy6n7c/S2-n3-a4atz5k

(maybe it's worth it to ...

Long post for two different things: (1) some interesting puffers and rakes, and (2) an EXTREMELY interesting and varied rulespace represented in several examples. For the latter, it may be worth posting in a different thread; if you find it worthwhile, let me know (or post it yourself, anything is ...

Might be really hard due to the knightwise growth of the active part, could be impossible. Were it not growing, its solution would be a new speed in the 5S database:

A natural (545,2)c/1110 growing puffer in the same rule family in which the front end moves orthogonally and the rear grows (9,2 ...

New reply for a really unique discovery so it does not get lost in the previous post:
A natural (545,2)c/1110 growing puffer in the same rule family in which the front end moves orthogonally and the rear grows (9,2)-knightwise:
x = 16, y = 16, rule = B2ek3-acjk4t5aei7c/S1e2-an3aeir4cjkrt5ci6ei ...

New infinitely extensible spaceships. The first one is very unusual and carries a wave; the second one is more classical and can be displaced respecting the zebra stripe stabilisation:
x = 55, y = 56, rule = B2ci3acekq4aiyz5-eqy6-i7/S1c2a3jr4itz5-ik6-i
52b3o$52bobo$50b4o$50bo$48b3o$47bobo$47b3o ...

Several unrelated things:
(pseudo-)Heisenburp-puffer with a near-endemic 6c/46d (cardinality = 2, B6i/S8)
x = 47, y = 14, rule = B2k3aeiky4i5iy6-c7e/S2-c3-qy4an5iq78
2o41b2o$2o41b2o$2bo42bo$2b2o41b2o$2b2o41b2o$o2bo39bo2bo$3o40b3o6$41b2o
$41b2o!
Nice double diagonal rake:
x = 15, y = 15, rule ...

What in the slime mold is this?
x = 685, y = 213, rule = B2-a5678/S124567c8
371b4obob3o2bobob2ob3o4bob2o6b3o2bo3bob2ob2o2bo3bo2bobo3b2o4bobo2bobob
o2bob3ob4o4bobo3bo2b2ob2obobo2b2ob2o4b2o3b3o5bo2b2o2bo5bo2b2obo4b3ob3o
2b2o2b2o4bo3b2o2bob5o2bob2o3b2o2bob4o2bo3b2obobob2o2b2o4b2o2b2o4bob5ob ...

Cardinality. If a pattern exists in 2^N rules (within a given rulespace - totalistic isotropic, non-totalistic, etc), it can be said to have a cardinality of N. Endemic patterns by definition have a cardinality of 0 (2^0 rules). Generally, this statistically scales with population and number of ...

I'm pretty sure that these oscillators either emulate some sort of simple CA or can be used to encode logic gates, but I cannot figure it out. What is it exactly?
x = 28, y = 13, rule = B2i3-kny4cekwz5iy6a7e/S1c2-en3-e4kw5ej6c8
23bo$22bo2$6bo17bo$2bo2b2o16bo$b2o$9bo17bo$5bob3o13bo2b2o$bo2bo17bo$2o ...

Reaction with three separated still lifes (two blocks and a boat) is a 8c/310d spaceship:
x = 25, y = 17, rule = B3-e4cei5k6c78/S2-in34jy5a6a8
2o$2o4$11bo$10b2o$10b2o2$b2o$obo$bo4$23b2o$23b2o!
In a related rule, a duoplet on a ship restores the ship after 13 generations, enabling hasslers like ...

I have been looking at this general rulespace lately and found this pond-beehive puffer not unlike the one in tDryLife:
x = 18, y = 8, rule = B3-e4cei5k6c78/S2-in34jy5a6a8
9bo$15b2o$3b3ob8o2bo$3b3ob3ob4o2bo$2bo5b5o2b2o$bob5o$2ob5o$b2o!

I wonder if it can be corderised too, but I have not found ...

Rather beautiful endemic (7,2)c/79, very space-dusty for its size.
x = 4, y = 5, rule = B2kn3-cqry4einqrty5cjn6cik/S1e2eik3acqry4acnrw5cek6e
3o$2b2o$b3o$b3o$2bo!
Triple rake from an endemic 18c/50o:
x = 34, y = 75, rule = B34cz5k6-ei/S2-i34ejqy5y
13bo$12b2o$12bobo6b3o$19b4obo$18bo4b6o$20bo2bob4o ...

A (9,19)c/134 rake (usable for a quadratic growth, anyone?) which can build a diagonal blinker crystal:
x = 242, y = 421, rule = B3-k/S23-c4y
239b2o$240b2o$237b2obo$237bo$237b3o33$222bo$222bobo$222b2o50$180bo$
179bo$179b3o51$137bo$137bobo$137b2o50$95bo$94bo$94b3o51$52bo$52bobo$
52b2o50$10bo$9bo ...

This gun (stabilised):
x = 36, y = 36, rule = B3aikqy4acik5aknry6kn78/S2-in3-ay4cinrt5cejn6ck7c
28b2o$26b2obo$25b2ob2o$23b2o3b2o$22b2ob2obo$bo21b2o$obo22b4o3b4o$bo11b
o11b2ob2ob3obo$13b2obo9b2obo4bo$13bo13b3obob2o$28b2obobo$30bobo$21bo8b
3o$20bobo8bo$21bobo$22bo4$27bo2$27bo$26b3o11$29bo$28bobo$29bo ...

Rule with many stable anchors onto which oscillators, of many different periods, can hold. C1 symmetric areas often spontaneously evolve D2_x symmetry, but never explode in the typical fashion thanks to removing S5n (without which the rule has many typical diagonally exploding patterns). Shown here ...

Is this a binary counter of sorts? It can "overflow" though:
x = 3231, y = 38, rule = B3-cnqy5e7/S23-a4a5r6e
11bo2bo20bo$6bo4bo22b3o$5b2o9b3o15bo3bo$b2o14bobo16b4o$bo2b2o13b2o18b
2o$o4bo13b2o18b2o$bo2b2o13b2o16bob2o16b2o$b2o14bobo18b2o18bo$5b2o9b3o
19bo16b2obo$6bo4bo43bo$11bo2bo41bo2 ...

In a Chasm variant (without S4e; here shown with additional +S4c), a very strange doubly self-intercepting puffer-rake spaceship (156c/312o), first discovered by Neocaridina almost at the same time as I spotted it in my apgsearches. It can be easily combined with itself to construct puffers or rakes ...

A D2_+1-symmetric 34c/68o:
x = 20, y = 29, rule = B3-cnqy4j5e6n7c/S2-c3-ay4einryz6c
o3$6b2o$b3obo2bo6b2o$2bo2bo8b2ob2o$2b3ob2o7bo2bo$2ob3ob2o7b3o$2o2b3o$
17b3o$19bo$16bo2bo$15bob2o$14b2o2$14b2o$15bob2o$16bo2bo$19bo$17b3o$2o
2b3o$2ob3ob2o7b3o$2b3ob2o7bo2bo$2bo2bo8b2ob2o$b3obo2bo6b2o$6b2o3$o!


A ...

The underlying constellation might be a bit annoying to synthesise, but is this (19+n,13+n)c/(148+4n) G->2G burning reaction any good? Only two blinkers (1/2 traffic light) left behind.
x = 76, y = 119, rule = B3/S23
2bo$3bo$b3o5b2o$9b2o3$8b2o$2b2o3bo2bo$2b2o3bo2bo$8b2o6$8b2o$2o6b2o$obo
$bo3 ...

I was thinking of these sort of rules the other day, interesting to see they have been explored!
Oscillators and spaceships with periods different to, or not divisors of, the number of rules (generally two rules, so far in this thread) would be exceedingly rare, as well as still lifes, unless the ...

5 transitions away from tDryLife; 2G collision is a p8 oscillator; ships are 2nd most common object due to common constellation, which can be rotated or formed elsewhere with G collisions
x = 17, y = 74, rule = B34ejz78/S2-i34q5r
bo$2bo$3o3$b3o$bo$2bo19$11bo$10bo$10b3o2$b2o$obo6b2o$2o6bobo$8b2o12 ...

Selected 3-glider collisions including a synthesis for the xq36 and many for the xq21.
x = 304, y = 25, rule = B34jy/S2-i34q
296bo$297b2o$296b2o4$272bo$9bo15bo33bo4bo199bo7bobo$9bobo14bo31bo5bobo
198b2o5b2o$9b2o13b3o31b3o3b2o24b2o42bo129b2o$29bobo3bo54bobo40bo$29b2o
4bobo48bo3bo19bo22b3o ...

Can someone use this idea to synthesise the sparky spaceship? I have not tried around too much but the spark itself seems fairly common (or things that look like it) from collisions with still lifes or this 2G thing:
x = 70, y = 12, rule = B34jy/S2-i34q
5bobo$5b2o$2bo3bo59b2o$obo62b2ob2o ...

c/3 diagonal, 2c/12 and two c/5, as well as examples of typical p16 and p14 oscillators (see Catagolue for some other natural/D4_+2 xp10, xp14 and xp28). Unfortunately, the rule is too "tame" and it's hard to make its behaviour more interesting while preserving these, but the underlying mechnism in ...