Miscellaneous Discoveries in Other Cellular Automata

[Rhombic]

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:

Code: Select all

x = 55, y = 56, rule = B2ci3acekq4aiyz5-eqy6-i7/S1c2a3jr4itz5-ik6-i
52b3o$52bobo$50b4o$50bo$48b3o$47bobo$47b3o$47bo$45b3o$43b3o$43bobo$41b
4o$41bo$39b3o$38bobo$38b3o$38bo$36b3o$34b3o$34bobo$32b4o$32bo$30b3o$
29bobo$29b3o$29bo$27b3o$25b3o$25bobo$23b4o$23bo$21b3o$20bobo$20b3o$20b
o$18b3o$16b3o$16bobo$14b4o$14bo$12b3o$11bobo$11b3o$11bo$9b3o$7b3o$7bob
o$5b4o$5bo$3b3o$2bobo$2b3o$2bo$o$bo$o!

Code: Select all

x = 81, y = 11, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6ei
8b2o9b2o9b2o9b2o9b2o9b2o$b4ob5ob4ob5ob4ob5ob4ob5ob4ob5ob4ob5o$o10bo10b
o10bo10bo10bo$70o$o71b2o$b74o2bobo$10bo10bo10bo10bo10bo20bo3bo$5b5ob4o
b5ob4ob5ob4ob5ob4ob5ob22obobo$7b2o9b2o9b2o9b2o9b2o11bo10bo3bo$59b5ob4o
b5o2bobo$61b2o9b2o!

Zebrapuffer quadratic growth

Code: Select all

x = 13, y = 176, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5ci
6b2o6$7bo$6b2o2$3bo$3bo2$8bo2bo$9b3o$7bo$6b5o$7bobobo$4b4obobo$4b4obob
o$6b2obobo$6b2obobo$5bobobo$4b2obobobo$4b2obobo$5bobobobo$5bobobobo$7b
obobo$5bobobobo$5bobob2o$5bobobobo$5bobobob2o$3bobobobob2o$2b2obobobob
o$2b2obobobobo$3bobobobo$3bobobobobo$5bobobobo$3bobobobobo$3bobobobobo
$3bobobob2o$3bobobobobo$4b2obobob2o$3bobobobob2o$2b2obobobobo$2b2obobo
bobo$3bobobobo$3bobobobobo$5bobobobo$3bobobobobo$3bobobobobo$3bobobob
2o$3bobobobobo$4b2obobob2o$3bobobobob2o$2b2obobobobo$2b2obobobobo$3bob
obobo$3bobobobobo$5bobobobo$3bobobobobo$3bobobobobo$3bobobobo$3bobobob
2o$4b2obob2o$3bobobobo$2b2obobobo$2b2obobo$3bobobobo$3bobobobo$5bobobo
$3bobobobo$3bobob2o$3bobobobo$3bobobob2o$4b2obob2o$3bobobobo$2b2obobob
o$2b2obobo$3bobobobo$3bobobobo$5bobobo$3bobobobo$3bobob2o$3bobobobo$3b
obobob2o$4b2obob2o$3bobobobo$2b2obobobo$2b2obobo$3bobobobo$3bobobobo$b
obobobobo$bobobobobo$bobobob2o$bobobobobo$3bobobob2o$2b2obobob2o$2b2ob
obobo$3bobobobo$3bobobo$5bobobo$3bobobobo$3bobobobo$3bobobobo$3bobob2o
$bobobobobo$2obobobob2o$2obobobob2o$bobobobobo$bobobobobo$3bobobo$bobo
bobobo$bobobobobo$bobobobobo$bobobobobo$2b2obob2o$bobobobobo$2obobobob
2o$2obobobob2o$bobobobobo$bobobobobo$3bobobo$bobobobobo$bobobobobo$bob
obobobo$bobobobobo$2b2obob2o$bobobobobo$2obobobob2o$2obobobob2o$bobobo
bobo$bobobobobo$3bobobo$bobobobobo$bobobobobo$bobobobobo$bobobobobo$2b
2obob2o$bobobobobo$2obobobob2o$2obobobob2o$bobobobobo$bobobobobo$3bobo
bo$bobobobobo$bobobobobo$bobobobobo$bobobobobo$2b2obob2o$bobobobobo$2o
bobobob2o$2obobobob2o$bobobobobo$bobobobobo$3bobobo$bobobobobo$bobobob
obo$bobobobobo$bobobobobo$2b2obob2o$bobobobobo$2obobobob2o$2obobobob2o
$bobobobobo$bobobobobo$3bobobo$bobobobobo$bobobobobo$bobobobobo$bobobo
bobo$3bobobo$2b2obob2o$2b2obob2o$3bobobo$3bobobo$5bo!

Extremely high period natural rake in a related rule:

Code: Select all

x = 16, y = 16, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6i
o4bob4o3bo$bo2bob4o3b3o$4ob2obo2bob3o$obo4bobo2bo2bo$2bobo2b3obo2b2o$
2o3b2o2b3o$3obobo3b4o$o2bo4bo4bobo$2b2o4b3ob2obo$2b2o2bo6bobo$5b5o3b2o
$b4o7bob2o$b4o2b2o2b4o$6ob5obo$2obob2o3bo3bo$2o2b3ob3obobo!

(60,40)c/126 puffer in the same rule with apparent failed replicator engine:

Code: Select all

x = 16, y = 16, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6i
4o4b2o3bo$obob3obob3o2bo$2bob2o3bob4o$b2ob3o2b7o$2o2b3obo2b3obo$o7b4o$
ob5ob6o$2bo2b2ob2o2bo2bo$b2obobo3b2ob3o$obo3bobo2bo2bo$obobob4obob2o$b
ob2ob2ob3ob3o$obob3o2bo3b3o$4b4ob2ob4o$ob2o3bob2o2b3o$bo2b3obo3b4o!

Same engine but different output, diagonal:

Code: Select all

x = 31, y = 26, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6i
8bo$8bo2$8bo$8bo15b2o$16bo$16bo5$16bo$3bo2bo19b2ob2o$2bo3bo$bo5bob2o3b
2o$6b3o$5b3o4bo$12bo4bo$o4bo5b2o3b2o$11bo$5bobo11bo$13bo3b2o$bo15bobo$
2bo9bo4bobo$3bo7bo$7bo!

Growing puffers:

Code: Select all

x = 16, y = 16, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6ei
b3o4b2obobo$2obo4bo2b3o$2o2bob2o4bo$obob2o2b2ob2o2bo$obobo4bo2b2o$3b2o
2b2ob3obo$2bobo3b2o2bo$bo6bo4b2o$bo2bobob2o4b2o$bob2obo2bob4o$4bo3bob
2o3bo$bob3ob3o5bo$b3o2b6o2bo$3o2b3obo2bo$o2b4ob2obo3bo$2o3b2obo5b2o!

Code: Select all

x = 30, y = 21, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6ei
3bo$bobobo2$2o3b2o3bo3bo$10b2o2b3o8b2o$bo3bo4bo3b5ob3ob5o$bobo7b2o6bo
3bo$2bo5b9obo2b9o$4b3o11bo$3b26o2$3b26o$4b3o11bo$2bo5b9obo2b9o$bobo7b
2o6bo3bo$bo3bo4bo3b5ob3ob5o$10b2o2b3o8b2o$2o3b2o3bo3bo2$bobobo$3bo!

2D-growing apparent explosive failed puffer/novelty *methuselah* (with respect to a zebra-striped background) (an even larger embedding in zebra stripes is needed to see the failure):

Code: Select all

x = 8213, y = 631, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6ei
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o$157bo$156o3b8054o$159bo$153o7b8053o$157bobo
3bo4bo10bo10bo$149o8b3o3bob3ob5ob4ob5ob4ob5ob8016o$156bo2b2o4bo4b2o9b
2o9b2o$149o7b2o2b2o2bo36b5ob8006o$156b2o3bo40b2o7bo$149o9b2o51b8002o$
158b3o50b2o$151o62b8000o$170b2o9b2o9b2o17b2o$151o18b5ob4ob5ob4ob5o15b
8002o$160b2o17bo10bo11b2o7bo$151o8b5ob35ob5ob8006o$200bo$154ob8058o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$8213o2$
8213o2$8213o2$8213o!

(zebra stripes can be easily stabilised in many ways; "flat-top" examples:)

Code: Select all

x = 11, y = 13, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6ei
2bo2bo2bo$11o2$11o2$11o2$11o2$11o2$11o$2bo2bo2bo!

Code: Select all

x = 7, y = 15, rule = B2ek3-acjk4t5ae/S1e2-an3aeir4rt5i6ei
3bo$4bo$2b3o2$7o2$7o2$7o2$7o2$2b3o$4bo$3bo!

I think that this rule space is still hiding some interesting things beyond the minor apgsearch and hand testing I have done so far. Does anyone like it?

[Rhombic]

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:

Code: Select all

x = 16, y = 16, rule = B2ek3-acjk4t5aei7c/S1e2-an3aeir4cjkrt5ci6ei
b2ob3ob2ob2obo$b2o4b2o2b2o2bo$obob3o$6o2bobo2bobo$obob3o2bo2b4o$2bo2b
2o4bo2bo$2b2o2bo2bobo2b2o$o2bobob2o3bo2bo$o2bobob2o3bo2bo$2o8bob4o$2b
2ob3obob3o$ob3o4b5o$bobo2b2o3b2o$3ob3o3bobob2o$4b4ob3ob3o$3o2bob2ob2o!

(note that LifeViewer does not last for long enough before colliding with edges to show the growth)

[Fixer_APX]

I discovered this over 2 years ago and put it on Discord, but it never found its way here, a 6c/7 in B1e:

Code: Select all

x = 3, y = 18, rule = B1e2c3cin4aiqrty5jn6cen7e/S1c2a3aeir4jqry5cenqr6-in7c
2o$o$2bo$obo$2bo$2bo$2bo$b2o$obo$obo$b2o$2bo$2bo$2bo$obo$2bo$o$2o!

the horrors possible via 3i and 1e

[yyh_baboon]

Wow.

Code: Select all

 x = 3, y = 3, rule = B3aijr4jq5ce6n8/S2-ci3-ak4ceinrz5aej7c8
3o$obo$2bo!

[ThePlayzr]

p652 rotating gun:

Code: Select all

x = 3, y = 3, rule = B3-cy/S23-cy7e
bo$3o$o!

The rulespace B3-cy/S23-cy - B3-cy4ce6c7c8/S23-y4ce5e6ik7e has a lot of curious patterns based on the R.
EDIT: (in another rule in this rulespace) ummmmmmm....

Code: Select all

x = 3, y = 3, rule = B3-cy8/S23-cy4e6k7e
3o$obo$obo!

What is happening?

[qqd]

An 11-cell pattern that becomes a broken-lines emulator (where a line of beehives is created in a way which repeats exponentially across space and time). You will need Golly for this:

Code: Select all

x = 7, y = 3, rule = B3/S2-n3-c4ci
3ob3o$obobobo$4bo!

EDIT: Strange quadratic growth, where the breeder moves at a speed of 115c/596 producing rakes in front of it:

Code: Select all

x = 7, y = 4, rule = B3/S2-n3-c4ci
3ob3o$obobobo$obobobo$b2ob2o!

[yyh_baboon]

Some kind of…linear propagator I suppose?

Code: Select all

 x = 4, y = 3, rule = B2i3-jkq4qt5cny6i7c8/S2-ci3-aeky4iz5cjq6aik7e
3o$o2bo$2b2o!

[EvinZL]

"oblique mealworms aren't real, they can't hurt you"
oblique mealworm:

Code: Select all

#C (2,1)c/11
x = 189, y = 96, rule = MealwormTest1
3A$3.2A$2A2.B2A$2.2A3.2A$4.2A3.2A$6.2A3.2A$8.2AB2.2A$10.2A3.2A$12.2A
3.2A$14.2A.B.2A$16.2A2.B2A$18.2A.B.2A$20.2A2.B2A$22.2A3.2A$24.2A3.2A$
26.2A3.2A$28.2A2.B2A$30.2A.B.2A$32.2AB.B2A$34.2A.B.2A$36.2AB2.2A$38.
2A.B.2A$40.2A3.2A$42.2A3.2A$44.2AB.B2A$46.2A3.2A$48.2AB2.2A$50.2A3.2A
$52.2A3.2A$54.2A.B.2A$56.2AB2.2A$58.2A.B.2A$60.2AB2.2A$62.2A.B.2A$64.
2AB2.2A$66.2A3.2A$68.2A3.2A$70.2A.B.2A$72.2AB.B2A$74.2A3.2A$76.2AB.B
2A$78.2A3.2A$80.2A2.B2A$82.2A3.2A$84.2A3.2A$86.2A3.2A$88.2AB.B2A$90.
2A3.2A$92.2A2.B2A$94.2A.B.2A$96.2AB.B2A$98.2A.B.2A$100.2A2.B2A$102.2A
.B.2A$104.2AB.B2A$106.2A.B.2A$108.2A2.B2A$110.2A3.2A$112.2AB.B2A$114.
2A3.2A$116.2A3.2A$118.2A3.2A$120.2AB.B2A$122.2A3.2A$124.2AB.B2A$126.
2A.B.2A$128.2A2.B2A$130.2A3.2A$132.2A2.B2A$134.2A.B.2A$136.2AB2.2A$
138.2A3.2A$140.2AB2.2A$142.2A3.2A$144.2AB2.2A$146.2A3.2A$148.2A2.B2A$
150.2A.B.2A$152.2AB2.2A$154.2A.B.2A$156.2A2.B2A$158.2A.B.2A$160.2A3.
2A$162.2A.B.2A$164.2AB.B2A$166.2A.B.2A$168.2A3.2A$170.2A3.2A$172.2AB.
B2A$174.2A3.2A$176.2AB.B2A$178.2A3.2A$180.2A2.B2A$182.2A.B.2A$184.2A$
186.2A!
@RULE MealwormTest1
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,1,2,0,0,0 1
0 0,0,0,2,0,1,0,0 1
0 0,0,0,1,2,1,0,0 2
0 0,0,1,0,2,0,0,0 1
0 0,0,1,1,2,1,0,0 1
0 0,0,1,0,0,2,0,0 2
0 0,0,2,1,2,0,0,0 2
0 0,0,2,0,0,1,0,0 1
1 0,0,0,0,1,0,0,0 1
1 0,0,0,2,1,0,0,0 2
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,0,1,0,0 1
1 0,0,1,0,0,1,0,0 1
1 0,0,1,2,0,1,0,0 1
1 0,0,1,0,2,1,0,0 1
1 0,0,1,0,0,2,0,0 1
1 0,0,1,2,0,2,0,0 1
1 0,0,2,0,0,1,0,0 1
2 0,0,0,1,0,0,0,0 2
2 0,0,0,2,0,0,0,0 2
2 0,0,0,2,0,1,0,0 1
2 0,0,1,1,0,1,0,0 1
1 0,0,1,0,0,0,1,0 1
1 0,0,1,2,0,0,1,0 2
1 0,0,2,1,0,0,1,0 1
1 0,0,2,0,2,0,1,0 1
2 0,0,1,0,0,0,1,0 1
1 0,1,0,0,0,1,0,0 1
1 0,1,0,0,2,1,0,0 1
1 0,1,0,0,0,2,0,0 1
1 0,1,0,0,1,2,0,0 1
0 0,1,1,0,2,1,1,0 2
0 0,1,2,1,1,0,1,0 2
0 0,1,2,0,2,0,1,0 1
0 0,1,2,1,2,0,1,0 1
1 0,1,0,2,0,0,1,0 1
1 0,1,0,0,2,0,1,0 1
1 0,1,0,2,0,2,1,0 1
1 0,1,2,0,2,0,1,0 1
0 1,0,2,1,0,1,1,0 2

var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

made using RuleEngineers

along the way I also encountered this rule where both ends can grow or shrink, but they seem ot shrink more often

Code: Select all

x = 189, y = 96, rule = MealwormTest2
3A$3.2A$2A3.2A$2.2A3.2A$4.2A3.2A$6.2A3.2A$8.2A3.2A$10.2A3.2A$12.2A3.
2A$14.2A3.2A$16.2A3.2A$18.2A3.2A$20.2A3.2A$22.2A3.2A$24.2AB2.2A$26.2A
3.2A$28.2A3.2A$30.2A3.2A$32.2A3.2A$34.2A3.2A$36.2A3.2A$38.2A3.2A$40.
2A3.2A$42.2A3.2A$44.2A3.2A$46.2A3.2A$48.2A3.2A$50.2A3.2A$52.2A3.2A$
54.2A3.2A$56.2A3.2A$58.2A3.2A$60.2A3.2A$62.2A3.2A$64.2A3.2A$66.2A3.2A
$68.2A3.2A$70.2A3.2A$72.2A3.2A$74.2A3.2A$76.2A3.2A$78.2A3.2A$80.2A3.
2A$82.2A3.2A$84.2A3.2A$86.2A3.2A$88.2A3.2A$90.2A3.2A$92.2A3.2A$94.2A
3.2A$96.2A3.2A$98.2A3.2A$100.2A3.2A$102.2A3.2A$104.2A3.2A$106.2A3.2A$
108.2A3.2A$110.2A3.2A$112.2A3.2A$114.2A3.2A$116.2A3.2A$118.2A3.2A$
120.2A3.2A$122.2A3.2A$124.2A3.2A$126.2A3.2A$128.2A3.2A$130.2A3.2A$
132.2A3.2A$134.2A3.2A$136.2A3.2A$138.2A3.2A$140.2A3.2A$142.2A3.2A$
144.2A3.2A$146.2A3.2A$148.2A3.2A$150.2A3.2A$152.2A3.2A$154.2A3.2A$
156.2A3.2A$158.2A3.2A$160.2A3.2A$162.2A3.2A$164.2A3.2A$166.2A3.2A$
168.2A3.2A$170.2A3.2A$172.2A3.2A$174.2A3.2A$176.2A3.2A$178.2A3.2A$
180.2A3.2A$182.2A3.2A$184.2A$186.3A!
@RULE MealwormTest2
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,1,2,0,0,0 1
0 0,0,0,2,0,1,0,0 1
0 0,0,0,1,2,1,0,0 2
0 0,0,1,0,2,0,0,0 1
0 0,0,1,1,2,1,0,0 1
0 0,0,1,0,0,2,0,0 2
0 0,0,2,1,2,0,0,0 2
0 0,0,2,0,0,1,0,0 1
1 0,0,0,0,1,0,0,0 1
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,0,1,0,0 1
1 0,0,1,0,0,1,0,0 1
1 0,0,1,2,0,1,0,0 1
1 0,0,1,0,2,1,0,0 1
1 0,0,1,0,0,2,0,0 1
1 0,0,1,2,0,2,0,0 1
1 0,0,2,0,0,1,0,0 1
2 0,0,0,1,0,0,0,0 2
2 0,0,0,2,0,0,0,0 2
2 0,0,0,2,0,1,0,0 1
2 0,0,1,1,0,1,0,0 1
1 0,0,1,0,0,0,1,0 1
1 0,0,1,2,0,0,1,0 2
1 0,0,2,1,0,0,1,0 1
1 0,0,2,0,2,0,1,0 1
2 0,0,1,0,0,0,1,0 1
1 0,1,0,0,0,1,0,0 1
1 0,1,0,0,2,1,0,0 1
1 0,1,0,0,0,2,0,0 1
1 0,1,0,0,1,2,0,0 1
0 0,1,1,0,2,1,1,0 2
0 0,1,2,1,1,0,1,0 2
0 0,1,2,0,2,0,1,0 1
0 0,1,2,1,2,0,1,0 1
1 0,1,0,2,0,0,1,0 1
1 0,1,0,0,2,0,1,0 1
1 0,1,0,2,0,2,1,0 1
1 0,1,2,0,2,0,1,0 1
0 1,0,2,1,0,1,1,0 2

var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

more balanced rule

Code: Select all

x = 207, y = 105, rule = MealwormTest3
3A$3.2A$2A3.2A$2.2A3.2A$4.2A3.2A$6.2A3.2A$8.2A3.2A$10.2A3.2A$12.2A3.
2A$14.2A3.2A$16.2A3.2A$18.2A3.2A$20.2A3.2A$22.2A3.2A$24.2A3.2A$26.2A
3.2A$28.2A3.2A$30.2A3.2A$32.2A3.2A$34.2A3.2A$36.2A3.2A$38.2A3.2A$40.
2A3.2A$42.2A3.2A$44.2A3.2A$46.2A3.2A$48.2A3.2A$50.2A3.2A$52.2A3.2A$
54.2A.B.2A$56.2A3.2A$58.2A3.2A$60.2A3.2A$62.2A3.2A$64.2A3.2A$66.2A3.
2A$68.2A3.2A$70.2A3.2A$72.2A3.2A$74.2A3.2A$76.2A3.2A$78.2A3.2A$80.2A
3.2A$82.2A3.2A$84.2A3.2A$86.2A3.2A$88.2A3.2A$90.2A3.2A$92.2A3.2A$94.
2A3.2A$96.2A3.2A$98.2A3.2A$100.2A3.2A$102.2A3.2A$104.2A3.2A$106.2A3.
2A$108.2A3.2A$110.2A3.2A$112.2A3.2A$114.2A3.2A$116.2A3.2A$118.2A3.2A$
120.2A3.2A$122.2A3.2A$124.2A3.2A$126.2A3.2A$128.2A3.2A$130.2A3.2A$
132.2A3.2A$134.2A3.2A$136.2A3.2A$138.2A3.2A$140.2A3.2A$142.2A3.2A$
144.2A3.2A$146.2A3.2A$148.2A3.2A$150.2A3.2A$152.2A3.2A$154.2A3.2A$
156.2A3.2A$158.2A3.2A$160.2A3.2A$162.2A3.2A$164.2A3.2A$166.2A3.2A$
168.2A3.2A$170.2A3.2A$172.2A3.2A$174.2A3.2A$176.2A3.2A$178.2A3.2A$
180.2A3.2A$182.2A3.2A$184.2A3.2A$186.2A3.2A$188.2A3.2A$190.2A3.2A$
192.2A3.2A$194.2A3.2A$196.2A3.2A$198.2A3.2A$200.2A3.2A$202.2A$204.3A!
@RULE MealwormTest3
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,0,0,0 0
0 0,0,0,1,2,0,0,0 1
0 0,0,0,2,0,1,0,0 1
0 0,0,0,1,2,1,0,0 2
0 0,0,1,0,2,0,0,0 1
0 0,0,1,2,0,1,0,0 1
0 0,0,1,0,2,1,0,0 1
0 0,0,1,0,0,2,0,0 2
0 0,0,1,2,0,2,0,0 1
0 0,0,2,1,2,0,0,0 2
0 0,0,2,0,0,1,0,0 1
1 0,0,0,0,1,0,0,0 1
1 0,0,0,1,1,0,0,0 1
1 0,0,0,0,2,0,0,0 2
1 0,0,0,1,2,0,0,0 1
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,0,1,0,0 1
1 0,0,1,0,2,0,0,0 1
1 0,0,1,0,0,1,0,0 1
1 0,0,1,2,0,1,0,0 1
1 0,0,1,0,2,1,0,0 1
1 0,0,1,0,0,2,0,0 1
1 0,0,1,2,0,2,0,0 1
1 0,0,2,0,0,1,0,0 1
1 0,0,2,0,2,1,0,0 1
2 0,0,0,1,0,0,0,0 2
2 0,0,0,2,0,0,0,0 2
2 0,0,0,2,0,1,0,0 1
2 0,0,0,2,2,1,0,0 2
2 0,0,1,0,2,0,0,0 1
2 0,0,2,0,2,0,0,0 1
1 0,0,1,0,0,0,1,0 1
1 0,0,1,2,0,0,1,0 2
1 0,0,1,0,1,0,1,0 1
1 0,0,1,1,1,0,1,0 1
1 0,0,1,0,2,0,1,0 1
1 0,0,2,1,0,0,1,0 1
1 0,0,2,0,2,0,1,0 1
2 0,0,1,0,0,0,1,0 1
2 0,0,1,2,0,0,1,0 2
2 0,0,2,0,2,0,1,0 2
0 0,1,0,1,0,2,0,0 1
0 0,1,0,0,2,2,0,0 1
0 0,1,0,1,2,2,0,0 1
1 0,1,0,0,0,1,0,0 1
1 0,1,0,0,1,1,0,0 1
1 0,1,0,0,0,2,0,0 1
1 0,1,0,0,1,2,0,0 1
1 0,1,0,0,2,2,0,0 1
1 0,1,2,0,0,2,0,0 1
0 0,1,1,0,2,1,1,0 2
0 0,1,2,1,1,0,1,0 2
1 0,1,0,2,0,0,1,0 1
1 0,1,0,0,2,0,1,0 1
1 0,1,0,2,0,2,1,0 1
1 0,1,2,0,1,0,1,0 1
1 0,1,2,0,2,0,1,0 1
0 1,0,2,1,0,1,1,0 2

var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

[yyh_baboon]

Why this looks like LtL?(5S-record 116c/1360)

Code: Select all

 x = 0, y = 0, rule = B2i3-jkny4qz5cy6n/S2aek3-aky4iyz5ce6cei7
ob2o$o2bo$3o!

[Period1GliderGun]

p652 rotating gun:

Two of them make a p70 4-barreled gun:

Code: Select all

x = 25, y = 20, rule = B3-cy/S23-cy7e
o$3o$bo15$23bo$22b3o$24bo!

[yyh_baboon]

A replicator with really strange interactions:

Code: Select all

 x = 3, y = 3, rule = B2i3-jkny4cqz5cy6n/S2aek3-aky4iyz5ck6e7c8
3o$obo$2bo!

[Rhombic]

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 fine).

Perhaps there is a way to classify linearly growing patterns better, maybe there is some appeal to preparing some framework to categorise them (including but not limited to symmetry, providing a robust way to define what distinguishes "reaction-based" vs "spaceship-based" [a kind of intuitive, but perhaps flawed idea?], etc)
I don't think many examples of this behaviour are known: this dirty rake periodically creates a puffer that it then destroys after many generations:

Code: Select all

x = 25, y = 25, rule = B2e3-a4c6a/S012-n3cknqr4q
3b3o$3bobo2b3o$3bobo2bobo$3bobo2bobo$3b3o$12bo$b2o$b2o5bobo$8bob3o$8b
5o3$7bo3$7bob2o$7b2ob2o$5b6o$4bo10bo3bo$5b2o$17bo3bob2o$17bo6bo$15bobo
3bob2o$o$19bo!

This puffer works by firing a glider that burns through debris that it then reconstructs with a displacement:

Code: Select all

x = 36, y = 28, rule = B3-cq/S23-c
25bo$25bo$25bo2$18b2o$18b2o11b3o$31bobo$12b3o16bobo$24bo10bo$22b4o7b3o
$21b4obob2o2bo2bo$20b2o3bo5bo$21bo10b2o$22bo3b2obo3$7bo$7bo$7bo2$14b2o
6b2o$14b2o6b2o5$2o$2o!

Reaction-led puffer:

Code: Select all

x = 14, y = 16, rule = B3-q4n/S23-k
10b2o$9bo2bo$2b3o5b2o3$8b2o$8b2o2$b2o$o2bo$bobo$2b3o$12bo$11bobo$11bob
o$12bo!

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!

Other random observations:
A mesmerising endemic spaceship containing four transient gliders:

Code: Select all

x = 40, y = 48, rule = B2n3-y4q6c7c/S2-n3-a4az5e
16bo6bo$16b2o4b2o$15bobo4bobo10$16bo6bo$15bobo4bobo$3bo12b2o4b2o12bo$b
2o34b2o$2b2o32b2o$14b2o8b2o$15b2o6b2o$10b3o2bo8bo2b3o$9b2ob2o12b2ob2o$
5bo6bo14bo6bo$5b3o3b3o12b3o3b3o$3bob2obob4o12b4obob2obo$b2o8b3o12b3o8b
2o$2o6bo2b2o14b2o2bo6b2o$2o9b3o12b3o9b2o$2o36b2o$6obo24bob6o$b2o2b4o
22b4o2b2o$3bobo2bo22bo2bobo$4bo2b2o22b2o2bo$4b4o24b4o$5b2o26b2o9$15b2o
6b2o$15bo8bo$14bobo6bobo$13bob2o6b2obo$14b3o6b3o$16b3o2b3o!

Collision with relatively common still life displaces spaceship 1o and delays 33 gens:

Code: Select all

x = 27, y = 38, rule = B2n3-qy4qy7c/S2-n3-a4aetz7
19bo5bo$19b3ob3o$21bobo$18bo2bobo2bo$18b4ob4o2$18b4ob4o$18bo2bobo2bo$
21bobo$19b3ob3o$19bo5bo24$2bo19bo$2obo16b2obo$2obo16b2obo$2b3o17b3o!

Sparky replicator:

Code: Select all

x = 42, y = 30, rule = B2n3-qy4qy6n7c/S2-n3-a4atz6i
8$11b3o11b3o$10b5o9b5o$10bo3bo9bo3bo$12bo13bo$7b2obo3bob2o3b2obo3bob2o
$6b2ob3ob3ob2ob2ob3ob3ob2o$6b2o9b2ob2o9b2o$6b2o9b2ob2o9b2o$6b2ob3ob3ob
2ob2ob3ob3ob2o$7b2obo3bob2o3b2obo3bob2o$12bo13bo$10bo3bo9bo3bo$10b5o9b
5o$11b3o11b3o!

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!

[B468S02357]

I tried to corderize the PMOSASL but i made this

Code: Select all

x = 82, y = 76, rule = B3-cq/S23-c
48b3o3$42b3o2b2o$46bo$37bo4bo2b2ob2o$37bo5b3o4bo$37bo11b2ob2o$50bob2o
16bo$51b4o15bo$54bo15bo6bo$76bobo$63b2o10b2ob2o$63b2o10b2ob2o$74b2ob2o
$57b3o16bo$30b3o47b2o$79b2o$63b2ob2o$38b2o6b2o14b2o15b3o$38b2o6b2o15b
2o4$52bo$24b2o26bo$24b2o26bo2$59b2o6b2o$59b2o6b2o2$12b2o$12b2o2$45b2o
$45b2o2$2o$2o11$35bo$34bobo$21b2o10b2ob2o$21b2o10b2ob2o$32b2ob2o$34bo
$38b2o$37b2o$21b2ob2o$20b2o15b3o$21b2o4$2bo$2bo$2bo2$17b2o6b2o$17b2o6b
2o5$8bo$7bobo$8bo!

[splitterrules]

SMOOMOSMOSMOS:

Code: Select all

x = 51, y = 14, rule = B3aciq4ajknryz5-ijny6-ak/S2-in3-ackn4ciknqrz5-iqy6cik
bo47bo$bo47bo$3o45b3o9$11bo27bo$11b3o23b3o$11bo27bo!

[splitterrules]

Double post, but this is unrelated:

Rotating rake gun:

Code: Select all

x = 4, y = 3, rule = B35e6in8/S2-i3-ak4ceity5c6cn
2bo$b3o$2obo!

[ThePlayzr]

cursed pattern

Code: Select all

x = 12, y = 13, rule = 3a456-a78/345678/4
9.AB$8.B2AC$8.C2A$8.B2AC$9.AB3$C.CB$.B3A$.C3A$C4A$B4A$.ABA!

[B468S02357]

Printlife2 partial:

Code: Select all

x = 12, y = 15, rule = PrintLife2
7.D2.D$2.2C2.D.FE.D$3.2C2.E$C2.C.C.F2.F$3C.2C4.E$.C.C.C$2.3C2.E$7.F2.
F$2.3C5.E$.C.C.C$3C.2C.E$C2.C.C.F2.F$3.2C5.E$2.2C2.D.EF.D$7.D2.D!

[ThePlayzr]

Printlife2 partial:

Code: Select all

x = 12, y = 15, rule = PrintLife2
7.D2.D$2.2C2.D.FE.D$3.2C2.E$C2.C.C.F2.F$3C.2C4.E$.C.C.C$2.3C2.E$7.F2.
F$2.3C5.E$.C.C.C$3C.2C.E$C2.C.C.F2.F$3.2C5.E$2.2C2.D.EF.D$7.D2.D!

Code: Select all

x = 30, y = 31, rule = PrintLife2
8.D3.D11.D3.D$3.2C2.D2.FE.D5.2C2.D2.FE.D$4.2C2.E11.2C2.E$.C2.C.C.F3.F
4.C2.C.C.F3.F$.3C.2C5.E4.3C.2C5.E$2.C.C.C11.C.C.C$3.3C2.E10.3C2.E$8.F
3.F4.D6.F3.F$3.3C6.E3.DFE2.FE2.D2.E$2.C.C.C17.D$.3C.2C.E$.C2.C.C.F3.F
4.E10.F$4.2C6.E3.DF2.EF2.EF2.ED$3.2C2.D.EF2.D3.D10.D$8.D3.D3$8.D3.D$3.
2C2.D2.FE.D$4.2C2.E$.C2.C.C.F3.F$.3C.2C5.E$2.C.C.C$3.3C2.E$.D5.DF2.EF
D$DFE2.FE.D3.D2$7.F$.E5.E$DF2.EF2.D$.D5.D!

I found out that the Sidewinder, Creeper, and Fighter can all exist under an S2 condition if a, e, i, c, and k are removed. Or to put it simply, 2n.

Code: Select all

x = 17, y = 8, rule = B3/S12n3
obo3bobo$obo3bobo6b2o$obo3bobo$bo5bo4b3o$bo5bo5bo2$bo$bo!

Buuuuut, if anyone's down to make a "HighLowLife", then this could be the place to start.

I made a chaotic rule that supports a lot of patterns from lowlife, and a p7 and p20 that don't work in lowlife:

Code: Select all

x = 42, y = 36, rule = B34y5jkr6cen78/S134cey5-jnqr6-i78
13bobo$14bo$11b2o3b2o2$12bo3bo16bo$7b3o3bobo3b3o11bo$9b2o7b2o$11bo5bo
8bo6bo$3bo5bo9bo6bo6bo$2b3o4b2o7b2o5bobo4bobo$8bo11bo4bobo4bobo$2o8bo
7bo6bobo4bobo3$26bo4b2o$2o6bo14bo3bo2bo$7bo16bo$o2bo3bo16bobo4b2o4bob
2o$7bo8bo9bo3bob2o3bo$2b2o4bo6b3o5bo3bo10bo$16bo7bo$30bo$31b2o2$o$bo$
bo11bo3b2ob2o9bo8b2o$2bo10bo16bo$4bo13bo11bob2o6b2o$3bo9bobo10bo13b2o
$6bo6bo7bo3bo3bo10b2o$5bo13bobo3bo14b2o$7bo8bo8bo14b2o$8b2o11bo4bo13b
2o$10bo2b2ob2o3bo$40b2o!

Code: Select all

x = 0, y = 0, rule = B34y5jkr6cen78/S134cey5-jnqr6-i78
!
[[ RANDOMIZE ]]

Not all are included here.
Can someone apgsearch it?
Don't do D8_1, as it can explode.

[TheWayOfTheCon]

I made a chaotic rule that supports a lot of patterns from lowlife, and a p7 and p20 that don't work in lowlife:

Code: Select all

x = 42, y = 36, rule = B34y5jkr6cen78/S134cey5-jnqr6-i78
13bobo$14bo$11b2o3b2o2$12bo3bo16bo$7b3o3bobo3b3o11bo$9b2o7b2o$11bo5bo
8bo6bo$3bo5bo9bo6bo6bo$2b3o4b2o7b2o5bobo4bobo$8bo11bo4bobo4bobo$2o8bo
7bo6bobo4bobo3$26bo4b2o$2o6bo14bo3bo2bo$7bo16bo$o2bo3bo16bobo4b2o4bob
2o$7bo8bo9bo3bob2o3bo$2b2o4bo6b3o5bo3bo10bo$16bo7bo$30bo$31b2o2$o$bo$
bo11bo3b2ob2o9bo8b2o$2bo10bo16bo$4bo13bo11bob2o6b2o$3bo9bobo10bo13b2o
$6bo6bo7bo3bo3bo10b2o$5bo13bobo3bo14b2o$7bo8bo8bo14b2o$8b2o11bo4bo13b
2o$10bo2b2ob2o3bo$40b2o!

Code: Select all

x = 0, y = 0, rule = B34y5jkr6cen78/S134cey5-jnqr6-i78
!
[[ RANDOMIZE ]]

Not all are included here.
Can someone apgsearch it?
Don't do D8_1, as it can explode.

Nice, but I'm looking for a LowLife alternative where the spaceships are more common. Also, that's so many isotropic transitions that it might as well not be related to LowLife. Having just a handful of those makes apgsearching much faster too.

Sorry if I sound demanding, but I want a "HighLowLife" to just be more interesting and easy to work with then the plain LowLife.

[yyh_baboon]

What

Code: Select all

 x = 3, y = 3, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6ai
3o$obo$2bo!

[b-engine]

What

Code: Select all

 x = 3, y = 3, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6ai
3o$obo$2bo!

S6k away, this particular oscillator is very common:

Code: Select all

x = 3, y = 3, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6aik
3o$obo$2bo!

So common that they collide with each other and create long lived soups:

Code: Select all

x = 0, y = 0, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6aik
!
[[ RANDOMIZE ]]

This annoying puffer can create mess and even more of the puffers when paired with collisions:

Code: Select all

x = 6, y = 9, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6aik
3b2o$4b2o$3b2o2$2b4o$bo3bo$2o2b2o$b3o$2bo!

[splitterrules]

An unusual breeder with period 25352:

Code: Select all

x = 90, y = 107, rule = B2n3-qy4eqy6n7c/S2-n3-a4atz5k6n7e8
81b2o$81b3o$82b2o3$73bo$72b3o$71bo3b2o$72b3o13b2o$73bobo11b3o$87b2o2$
74b3o$74bob2o$73b4ob3ob2o$79b2ob3o$77b3obobo$81b3o$82bo67$4bo$3bobo$2b
2ob2o$3bo$b2o3bo2bo$4o2b2o$6bo$bo2bobo4b2o$4bobo2bo2bo$3b2obo2bobo$6bo
b3o5$12bo$12b2o$3b2obo4bobo$4b4ob3o$6b3o2bo$7bo3bo$9b2o!