Spindrift Rulespace (cardinality 28, around B2n3-qy4eqy6n7c/S2-n3-a4atz5k)

For discussion of other cellular automata.
Post Reply
User avatar
Rhombic
Posts: 1100
Joined: June 1st, 2013, 5:41 pm

Spindrift Rulespace (cardinality 28, around B2n3-qy4eqy6n7c/S2-n3-a4atz5k)

Post by Rhombic »

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 narrow it down more, like at most N transitions away from the type rule, but I'm not sure how to do it or if it makes much of a difference)
These 2^28 rules contain very interesting dynamics for high-period oscillators and spaceships as well as complicated puffers and rakes with wildly differing mechanisms depending on the rule. They have high engineering potential just from the sheer numbers of sparky objects but also have many endemic or near-endemic patterns.

From a previous post in Misc Disc O C A:
Rhombic wrote: May 16th, 2026, 5:17 pm Reaction-based triple rake with two consecutive 90º reflections and sextuple rake:

Code: Select all

x = 14, y = 9, rule = B2n3-qy4qy7c/S2-n3-a4atz8
11b3o2$3b3o$6bo$obo2b2o$o6bo$b3obobo$5bob2o$4b2ob2o!

Code: Select all

x = 75, y = 40, rule = B2n3-qy4qy7c/S2-n3-a4atz6i
73b2o$72bobo$72b2o9$40bobo$40bo2bo4b2o$40bo2bo4b2o$40bo3bo3b2o$41bo3bo
$41b2o2bo$45bob2o$46b3o$46bo$43b5o$43b2ob2o$45b2o15$b2o$obo$2o!
c/160d:

Code: Select all

x = 3, y = 4, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5y
bo$obo$2o$bo!
(13,3)c/159 puffer and 23c/312d:

Code: Select all

x = 4, y = 3, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5k
b3o$2obo$3o!

Code: Select all

x = 5, y = 14, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5k
o$o$o8$2b2o$2bobo$2b3o$3b2o!
In a rule combining the two previous ones, a glide-symmetric 6c/500 with transient gliders (and a rake from 2x):

Code: Select all

x = 8, y = 42, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5ky
b2o$3o$2o10$5b2o$5bobo$6b2o7$7bo$5b3o$4bo2bo$5b2o$5b2o14$4b2o$3b3o$3b
2o!

Code: Select all

x = 78, y = 30, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5ky
15b3o6b2o$15bo6b5o$14bo2bo4b2o3bo$15bo6bo4b2o$21b3o2b2o$b2o$obo$2o$32b
o7b2o$33b2o4bobo$32b2o5b2o5$59b2o$59bobo$59bobo$60bo4$37b2o$36bobo$36b
2o$76b2o$75bobo$70bo4b2o$71b2o$70b2o!
Knightrake:

Code: Select all

x = 6, y = 10, rule = B2n3-qy4ceqty7c/S2-n3-a4atz5k
3o$2obo$obo$obo$b2o$3o$bobo$b2ob2o$2bob2o$3bo!
And some new addenda.
Complex natural rakes and a double knightrake:

Code: Select all

x = 18, y = 18, rule = B2n3-qy4eqy6n7c/S2-n3-ak4atz5ky6e
7bo$4bo2b2o$3b2ob2o2$o3b2o$3bobo$3b2ob2o$6bo$5bobo$6bobo7bo$9bobo3b3o$
8bob2o3bo$9bo2b2o$11bobob2o$11b2o2bo3$13bo!

Code: Select all

x = 68, y = 64, rule = B2n3-qy4eqy6ck7c/S2-n3-a4aetz5ky7
62b2o$61bobo$62bo4$18b2o47bo$17b3o47bo$16bo3bo6bo39bo$18b2o5b2obo$15b
4ob4ob2ob2o$15b3o2b2obo5bo$15bob2o2bo$16b4o4bo2bo$17b2o2bobo2b3o3bo$
20b3o4bo2bobo$19bobo2bobo$23bo$21bo2$45bo$44b4o$43bo$42b2o5bo$42b3o2b
3o$42b2ob2ob3obo$43b2obo$5b2o39bo2bo$5bobo37bob2o$6bo37b3o$45bo4$3o4$
34b3o$33b4o27bo$32b2o31b2o$34b2o28b2o$32bo2bo$34bo$32b3o2b3o$39bo$36bo
b2o$36b2o7$62b2o$61bobo$62bo4$67bo$67bo$67bo!

Code: Select all

x = 12, y = 11, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5k6n7e8
10bo$9bobo$9b2o4$2bo$4o$2bo$2bo$2o!
Quadruple rake firing in all 4 diagonal directions:

Code: Select all

x = 11, y = 11, rule = B2n3-qy4eqy5ce6n7c/S2-n3-ak4atz5eky6i
6b3o$5bo3b2o$5b2o3bo$b2o4bo2bo$2obo4b3o$2bo5b2o$8b2o$7b2o$5bo2bo$5bobo
$6b2o!
An endemic (7,12)c/107 and a tiny boat-laying puffer in the same rule:

Code: Select all

x = 10, y = 17, rule = B2n3-qy4ceqy6n7c8/S2-n3-ay4atz5ky6a
7bo3$7bo4$3b2o$4bo2b2o$4b2ob3o$4bo2b2o$3b5o$2b2obobo$o3bo2bo$2bobob2o$
7o$bo!

Code: Select all

x = 3, y = 6, rule = B2n3-qy4ceqy6n7c8/S2-n3-ay4atz5ky6a
b2o$2bo2$o$o$o!
Quadruple gun:

Code: Select all

x = 5, y = 5, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5y6c
b3o$obobo$o2b2o$2b2o$2bo!
Three high-period oscillators (p336 and p276 in one rule; p216 in another rule) each with very interesting dynamics:

Code: Select all

x = 75, y = 25, rule = B2n3-qy4eqy5e6n7c/S2-n3-a4atz5ky
66b2o$67bo$67b2o5$53bo$52b5o$53bo2bo$o2bo47bob2obo$55bo2$7bo$6bob2o$6b
o3bo$10bo63bo$10bo61b3o$6bo3bo61bo$6bob2o$7bo2$56b2o$o2bo53bo$57b2o!

Code: Select all

x = 5, y = 6, rule = B2n3-qy4eqy6c7c/S2-n3-a4atz5ky
3bo$2b3o$bo2bo$2ob2o$bobo$2bo!
A 16c/356o spaceship made of a puffer that self-destructs:

Code: Select all

x = 30, y = 14, rule = B2n3-qy4eqy5e6n7c/S2-n3-a4atz5ky
13b2o$12bobo$11b2ob2o$11b2obo$12b2o3$2o$3o$b2o2$28b2o$27bobo$27b2o!
p660 RRO:

Code: Select all

x = 11, y = 9, rule = B2n3-qy4ekqy6k7c/S2-n3-a4aetz5ky
9b2o$8bobo$4b3ob2o$3bob2o$3b4o$o3b2o$bo$bo2bo$2b2o!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?
Post Reply