B2e3/S1c23a

[Hunting]

Still Lifes
There are only two still life: Block and carrier.
Oscillators
Here are the known oscillators

Code: Select all

x = 40, y = 112, rule = B2e3/S1c23a
2o2b2o2b2o$2o2b2o2b2o3$8b2o$8b2o20b2o6b2o$31bo6b2o$15bo3b2o7bo7b2o$2o
2b2o2b2o5bo3bo9bo7bo$2o2b2o2b2o5bo6bo3bo7bo$21b2o3b2o6b2o2$2o$2o3$2o2b
2o2b2o$2o2b2o2b2o11$2o6b2o$2o6b2o3$2o6b2o$2o6b2o5bobo$18bo$15bo$2o2b2o
2b2o6bobo$2o2b2o2b2o3$8b2o$8b2o3$8b2o$8b2o5$2o2b2o2b2o$2o2b2o2b2o3$2o$
2o16bo$15b7o$15bob3obo$2o2b2o2b2o5b2o3b2o$2o2b2o2b2o4b3o3b3o$15b2o3b2o
$15bob3obo$8b2o5b7o$8b2o8bo3$2o2b2o2b2o$2o2b2o2b2o4$17b2o9b2o$2o2b2o2b
2o5bobo4bobo4bobo$2o2b2o2b2o7bo11bo$14b6o7b6o$14bo2bo2bo5bo2bo2bo$2o6b
2o7bo2bobobobo2bo$2o6b2o8b4o3b4o$20bo5bo$15bo3bo7bo3bo$2o2b2o2b2o$2o2b
2o2b2o5bo3bo7bo3bo$20bo5bo$18b4o3b4o$8b2o7bo2bobobobo2bo$8b2o4bo2bo2bo
5bo2bo2bo$14b6o7b6o$17bo11bo$2o2b2o2b2o5bobo4bobo4bobo$2o2b2o2b2o7b2o
9b2o5$2o8b2o$2o8b2o11b2o$25bo$22bobo$2o8b2o10bobo2b2o$2o8b2o6b2o2bobo
2b2o$18b2o2bobo$22bobo$2o8b2o9bo$2o8b2o10b2o3$2o8b2o$2o8b2o3$2o8b2o$2o
8b2o!

Spaceships
Natural
Natural spaceships exist for speeds c/2 orthogonal:

Code: Select all

x = 140, y = 31, rule = B2e3/S1c23a
133b4o$133bo2bo3$130b10o$130bob6obo3$133b4o$133b4o7$131bobo2bobo$131bo
bo2bobo2$131b3o2b3o$131b3o2b3o3$131b2o4b2o$131b2o4b2o2$35bo22b4ob4o10b
2o17b4ob4ob4o4bo10bo$15bo18bobo6b3o3b3o6b4ob4o9bo2bo16b4ob4ob4o3bob2o
6b2obo$bo5b2o5bobo4b3ob3o15b3o3b3o4bobo7bobo16b3o2b3o5b3o4b3o5bo2bo2b
2o2bo2bo$obo3bo2bo4bobo4b3ob3o3b4ob4o4bo5bo4bo13bo3b4o2b4o2b3o2b3o4b2o
8b2o6b2obo2bob2o6b2o4b2o$obo3bo2bo3b2ob2o4bobobo4b2o5b2o6b3o6bo13bo3b
2o6b2o3bob2obo5b2o8b2o9bo2bo9b2o4b2o!

Unnatural
I constructed some c/2 spaceship. Here's some example:

Code: Select all

x = 57, y = 14, rule = B2e3/S1c23a
6b3o34bo$5b5o33bo7b2o$5b2ob2o34bobob2o$5b2ob2o36b2obobo2bo$5b5o10bo3bo
21b2o3b2o3bo$6b3o11bo3bo23b2o4bobo$55bo$3bo7bo5bo9bo5bo3bo9bobobo$3bo
7bo5bo9bo5bo3bo9bobobo$4b7o7b9o7b3o9bobobobo$43bo2bo5bo2bo$bobobobobob
o3bobobobobobobobo3bobobobo8bobo$bobobobobobo3bobobobobobobobo3bobobob
o3bob2ob3ob2obo$2bo3bo3bo5bo3bo3bo3bo5bo3bo5bo3b3o3bo!

Linear Growth
Puffers and Rakes
First, I found a spaceship-based not-very-clean rake:

Code: Select all

x = 15, y = 8, rule = B2e3/S1c23a
5b5o$2bo11bo$2bo11bo$3b11o2$obobobobobobobo$obobobobobobobo$bo3bo3bo3b
o!

And I found a block puffer. It's two copies of that basic rake.

Code: Select all

x = 31, y = 8, rule = B2e3/S1c23a
7b5o9b5o$2bo11bo3bo11bo$2bo11bo3bo11bo$3b11o5b11o2$obobobobobobobobobo
bobobobobobo$obobobobobobobobobobobobobobobo$bo3bo3bo3bo3bo3bo3bo3bo!

[2718281828]

A couple more natural ships all c/2 (p2, p4, p6, p42):

Code: Select all

x = 114, y = 37, rule = B2e3/S1c23a
4$70bo10bo16b4o$6b3ob3o23b4ob4ob4o19bob2o6b2obo15bo2bo$6b3ob3o23b4ob4o
b4o19bo2bo2b2o2bo2bo$7bobobo26b3o4b3o23b2obo2bob2o$37b2o8b2o25bo2bo17b
10o$37b2o8b2o46bob6obo3$98b4o$98b4o2$7bo$6bobo29b3o3b3o22b3o7b3o$38b3o
3b3o22bo2bo5bo2bo$6bo2b3o27bo5bo28b3o$11bo29b3o27b2obobob2o$73bo3bo18b
obo2bobo$96bobo2bobo2$96b3o2b3o$96b3o2b3o$9bo$8bobo27b4ob4o$8bobo27b4o
b4o49b2o4b2o$7b2ob2o24bobo7bobo47b2o4b2o$35bo13bo$35bo13bo3$96b2o4b2o$
96b2o4b2o!

Some natural oscillators (p 1,2,4,5,9):

Code: Select all

x = 85, y = 24, rule = B2e3/S1c23a
2$62b3o9b3o2$60bo6b2ob2o6bo$60bo3b2ob2ob2ob2o3bo$39bob4obo13bo2b3o7b3o
2bo$4b2o7bo12b2o12bo4bo17b2o9b2o$4b2o7bo12b3o10bo6bo$13bo13b3o9bo6bo
15b2o11b2o$28b2o9bo6bo15b2o11b2o$39bo6bo$40bo4bo16b2o11b2o$39bob4obo
15b2o11b2o2$63b2o9b2o$60bo2b3o7b3o2bo$60bo3b2ob2ob2ob2o3bo$60bo6b2ob2o
6bo2$62b3o9b3o!

and some ships (not natural) speeds c/3 orth. and c/4 diagonal:

Code: Select all

x = 139, y = 38, rule = B2e3/S1c23a
3$10b2o$10b2o10bo3bo15bo4bo15b2o12b2o4b2o21bo13bo12bo$3b4o2bo2bo7bo2bo
bo2bo11bo2bo2bo2bo13b2o12b2o4b2o21b3o11b3o10b3o$19bo9bo9bo10bo8bo3b2o
3bo7bo2bo2bo2bo20b3o11b3o10b3o$3bo2bo4bo7bo9bo9bo10bo7bo2bo4bo2bo34bo
3bo9bo3bo8bo3bo$9b3o11b3o17b4o11bo3bo2bo3bo9bo2bo21bob2obo8bob2obo7bob
2obo$5b4o13b2ob2o15b2o2b2o13b2o2b2o9bob2o2b2obo18bo2bobo8bo2bobo7bo2bo
bo$8bo9b3ob2ob2ob3o7b3ob2o2b2ob3o11b2o10bob3o2b3obo19bo13bo12bo$18b2o
9b2o7b2o10b2o7bo2bo2bo2bo9bob2obo$6b2ob3o7b2o7b2o9b2o8b2o7bo4b2o4bo5bo
bo6bobo33bo12bo$3b2o4bo51b2o2b2o54b2o11b2o$3b2o3b2o51b2o2b2o$5bo2bo50b
o8bo48bo5bo6bo5bo$57bobo8bobo46bob2obo7bob2obo$57b2o10b2o45b3o10b3o$
117bobo10bobo$117bo2bo9bo2bo3$120bo12bo$118b2o11bobo$133bo$115b2o16b2o
$117b3o13b2o$115b2ob2o$131b2o$130bobo$127b4obo$128b2o$128b2o$127bo!

The small c/4 diag ship might appear naturally, such as one of the c/3 in a corresponding symmetric soup.

[AbhpzTa]

(1,0)c/2 p24 siderake:

Code: Select all

x = 75, y = 45, rule = B2e3/S1c23a
60b2o$61bo$46b2o6b3o3b2o$46bo7bobo3b2o2b2o$37b3o14bobob4o3bo$45b2o7b3o
b4o2b2o$45bobo7bo2b4o$45bob2obo7b4o2b2o$38b2o6bo4bo6b4o3bo$33b2o3b2o6b
o10bo2b2o2b2o$46bo13b2o$33bo2bo10bo13bo$34bobo2b2o7bobo9b2o$39b2o8bo2$
63b2o$64bo$26bobo34b2o$26b3o30b2o2b2o2b2o$35b3o7b3o10b3o2b2o3bo$35bobo
20b2o3b2o2b2o$40bob2o9bo9b2o$40b4o8bobo2b3o3b2o2b2o$52bobo5bo2b2o3bo$
57bo2bo2b2o2b2o$44bo13bo4b2o$44bo19bo$46b2o15b2o$46bobo$14bobo29bobo$
14b3o51b2o$70bo$70bo$47bo4bo13bo3bob2o$42bo9bo12bo4bo3bo$41bobo2bo5bo
11bo5bob2o$41bobo2bo2bo20bo$47b2o9b3o3bo5bob2o$52bo6b2o2b2obo3bo3bo$
63b3o4bob2o$9b2o10b2o10b2o14bo20bo$9b2o10b2o10b2o14bobo18bo$2o15b2o10b
2o10b2o25b2o$2bo9b2o3b2o5b2o3b2o5b2o3b2o9b3o$2o10b2o10b2o10b2o14bobo!

Some linepuffers/rakes:

Code: Select all

x = 123, y = 106, rule = B2e3/S1c23a
37b2o$24b2o12bo$21b2ob2o4bobo4b2o$21b2o7b3o4b2o2b2o$21bob2o12b2o3bo$
24bo12b2o2b2o$20bo2bo13b2o$27bobo7b2o2b2o$20b2o10b2o3b2o3bo$27bobo2b3o
2b2o3bo$33b2o2b2o2b2o$24b2o11b2o$24b2o12bo$37b2o17$93b2o22b2o$84b2o6bo
b2o22bo$84bobo4bo25b2o$84bobo5bobo22b2o2b2o$77b2o3b2o2bo5b4o8b2o8b5o3b
o$76bo2bobo12b2o8bo9b5o3bo$77b2o2bo3bo13b3o4bobo5b5o2b2o$83b2o15b2o4bo
bo5b5o$114b5o$114b5o2b2o$83b2o15b2o4bobo5b5o3bo$77b2o2bo3bo13b3o4bobo
5b5o3bo$76bo2bobo12b2o8bo9b5o2b2o$77b2o3b2o2bo5b4o8b2o8b5o$84bobo5bobo
22b2o$84bobo4bo25b2o2b2o$84b2o6bob2o22bo3bo$93b2o22b2o2b2o13$6bo$6bo$
6bo29b2o$24bo4bo8bo$23bo14bo$3o14b4o2bo9bobo2bob2o$14b2obo2bo3b2o3bo5b
o2bo3bo$16b2o2bo3bobo3bo2bobo2bo3bo$12b2o3bo2bo4b2o8bo2bob2o$12bobo3b
3o4b2o8bo2bo$3b2o8b2o4bobo3bobo7bo2bo$3b2o20bobo7bo2bob2o$19bo5bobo7bo
2bo3bo$6b2o13bobo3bo7bo2bob2o$6b2o11b2o2b4o11bo$20b2ob4o11bo$20b2o14b
2o14$6b2o$8bo$8bo$b3o4bob2o$b2obo3bo3bo$2bo5bo3bo$8bob2o$2bo5bo$2bo5bo
$2bo5bob2o$8bo3bo$2obo4bo3bo$3obo3bob2o$8bo$8bo$6b2o!

Code: Select all

x = 138, y = 35, rule = B2e3/S1c23a
131b2o$132bo$123bo2bo4b2o$122bo4bo3b2o2b2o$122bo6b4o3bo$123bo3bob4o3bo
$128b5o2b2o$125b2ob5o$128b5o$123bo3bob4o2b2o$11b2o49b2o58bo6b4o3bo$13b
o49bo58bo4bo3b2o2b2o$bo11bo48b2o59bo2bo4b2o$o2bo5bo3bob2o45b2o2b2o64bo
$4bo3bo4bo3bo41b5o3bo63b2o$7bo5bob2o42b5o3bo$7bo5bo45b5o2b2o$7bo5bo45b
5o55b2o$3bo3bo5bob2o42b5o55b2o$3bo3bo5bo3bo41b5o2b2o$3bo3bo5bob2o43b4o
3bo63b2o$7bo5bo43b2ob4o3bo65bo$7bo5bo43b2o3b2o2b2o56b2o7bo$7bo5bob2o
45b2o60b5obo2bob2o$4bo3bo4bo3bo45bo60bo3bobo2bo3bo$o2bo5bo3bob2o45b2o
60b4o2bo2bo3bo$bo11bo113bo2bo2bob2o$13bo112bo3bo2bo$11b2o114bo2bo2bo$
124b4o2bo2bob2o$124bo3bobo2bo3bo$124b5obo2bob2o$124b2o7bo$133bo$131b2o
!

[Hunting]

(1,0)c/2 p24 siderake:

Code: Select all

x = 75, y = 45, rule = B2e3/S1c23a
60b2o$61bo$46b2o6b3o3b2o$46bo7bobo3b2o2b2o$37b3o14bobob4o3bo$45b2o7b3o
b4o2b2o$45bobo7bo2b4o$45bob2obo7b4o2b2o$38b2o6bo4bo6b4o3bo$33b2o3b2o6b
o10bo2b2o2b2o$46bo13b2o$33bo2bo10bo13bo$34bobo2b2o7bobo9b2o$39b2o8bo2$
63b2o$64bo$26bobo34b2o$26b3o30b2o2b2o2b2o$35b3o7b3o10b3o2b2o3bo$35bobo
20b2o3b2o2b2o$40bob2o9bo9b2o$40b4o8bobo2b3o3b2o2b2o$52bobo5bo2b2o3bo$
57bo2bo2b2o2b2o$44bo13bo4b2o$44bo19bo$46b2o15b2o$46bobo$14bobo29bobo$
14b3o51b2o$70bo$70bo$47bo4bo13bo3bob2o$42bo9bo12bo4bo3bo$41bobo2bo5bo
11bo5bob2o$41bobo2bo2bo20bo$47b2o9b3o3bo5bob2o$52bo6b2o2b2obo3bo3bo$
63b3o4bob2o$9b2o10b2o10b2o14bo20bo$9b2o10b2o10b2o14bobo18bo$2o15b2o10b
2o10b2o25b2o$2bo9b2o3b2o5b2o3b2o5b2o3b2o9b3o$2o10b2o10b2o10b2o14bobo!

Some linepuffers/rakes:

Code: Select all

x = 123, y = 106, rule = B2e3/S1c23a
37b2o$24b2o12bo$21b2ob2o4bobo4b2o$21b2o7b3o4b2o2b2o$21bob2o12b2o3bo$
24bo12b2o2b2o$20bo2bo13b2o$27bobo7b2o2b2o$20b2o10b2o3b2o3bo$27bobo2b3o
2b2o3bo$33b2o2b2o2b2o$24b2o11b2o$24b2o12bo$37b2o17$93b2o22b2o$84b2o6bo
b2o22bo$84bobo4bo25b2o$84bobo5bobo22b2o2b2o$77b2o3b2o2bo5b4o8b2o8b5o3b
o$76bo2bobo12b2o8bo9b5o3bo$77b2o2bo3bo13b3o4bobo5b5o2b2o$83b2o15b2o4bo
bo5b5o$114b5o$114b5o2b2o$83b2o15b2o4bobo5b5o3bo$77b2o2bo3bo13b3o4bobo
5b5o3bo$76bo2bobo12b2o8bo9b5o2b2o$77b2o3b2o2bo5b4o8b2o8b5o$84bobo5bobo
22b2o$84bobo4bo25b2o2b2o$84b2o6bob2o22bo3bo$93b2o22b2o2b2o13$6bo$6bo$
6bo29b2o$24bo4bo8bo$23bo14bo$3o14b4o2bo9bobo2bob2o$14b2obo2bo3b2o3bo5b
o2bo3bo$16b2o2bo3bobo3bo2bobo2bo3bo$12b2o3bo2bo4b2o8bo2bob2o$12bobo3b
3o4b2o8bo2bo$3b2o8b2o4bobo3bobo7bo2bo$3b2o20bobo7bo2bob2o$19bo5bobo7bo
2bo3bo$6b2o13bobo3bo7bo2bob2o$6b2o11b2o2b4o11bo$20b2ob4o11bo$20b2o14b
2o14$6b2o$8bo$8bo$b3o4bob2o$b2obo3bo3bo$2bo5bo3bo$8bob2o$2bo5bo$2bo5bo
$2bo5bob2o$8bo3bo$2obo4bo3bo$3obo3bob2o$8bo$8bo$6b2o!

Code: Select all

x = 138, y = 35, rule = B2e3/S1c23a
131b2o$132bo$123bo2bo4b2o$122bo4bo3b2o2b2o$122bo6b4o3bo$123bo3bob4o3bo
$128b5o2b2o$125b2ob5o$128b5o$123bo3bob4o2b2o$11b2o49b2o58bo6b4o3bo$13b
o49bo58bo4bo3b2o2b2o$bo11bo48b2o59bo2bo4b2o$o2bo5bo3bob2o45b2o2b2o64bo
$4bo3bo4bo3bo41b5o3bo63b2o$7bo5bob2o42b5o3bo$7bo5bo45b5o2b2o$7bo5bo45b
5o55b2o$3bo3bo5bob2o42b5o55b2o$3bo3bo5bo3bo41b5o2b2o$3bo3bo5bob2o43b4o
3bo63b2o$7bo5bo43b2ob4o3bo65bo$7bo5bo43b2o3b2o2b2o56b2o7bo$7bo5bob2o
45b2o60b5obo2bob2o$4bo3bo4bo3bo45bo60bo3bobo2bo3bo$o2bo5bo3bob2o45b2o
60b4o2bo2bo3bo$bo11bo113bo2bo2bob2o$13bo112bo3bo2bo$11b2o114bo2bo2bo$
124b4o2bo2bob2o$124bo3bobo2bo3bo$124b5obo2bob2o$124b2o7bo$133bo$131b2o
!

A couple more natural ships all c/2 (p2, p4, p6, p42):

Code: Select all

x = 114, y = 37, rule = B2e3/S1c23a
4$70bo10bo16b4o$6b3ob3o23b4ob4ob4o19bob2o6b2obo15bo2bo$6b3ob3o23b4ob4o
b4o19bo2bo2b2o2bo2bo$7bobobo26b3o4b3o23b2obo2bob2o$37b2o8b2o25bo2bo17b
10o$37b2o8b2o46bob6obo3$98b4o$98b4o2$7bo$6bobo29b3o3b3o22b3o7b3o$38b3o
3b3o22bo2bo5bo2bo$6bo2b3o27bo5bo28b3o$11bo29b3o27b2obobob2o$73bo3bo18b
obo2bobo$96bobo2bobo2$96b3o2b3o$96b3o2b3o$9bo$8bobo27b4ob4o$8bobo27b4o
b4o49b2o4b2o$7b2ob2o24bobo7bobo47b2o4b2o$35bo13bo$35bo13bo3$96b2o4b2o$
96b2o4b2o!

Some natural oscillators (p 1,2,4,5,9):

Code: Select all

x = 85, y = 24, rule = B2e3/S1c23a
2$62b3o9b3o2$60bo6b2ob2o6bo$60bo3b2ob2ob2ob2o3bo$39bob4obo13bo2b3o7b3o
2bo$4b2o7bo12b2o12bo4bo17b2o9b2o$4b2o7bo12b3o10bo6bo$13bo13b3o9bo6bo
15b2o11b2o$28b2o9bo6bo15b2o11b2o$39bo6bo$40bo4bo16b2o11b2o$39bob4obo
15b2o11b2o2$63b2o9b2o$60bo2b3o7b3o2bo$60bo3b2ob2ob2ob2o3bo$60bo6b2ob2o
6bo2$62b3o9b3o!

and some ships (not natural) speeds c/3 orth. and c/4 diagonal:

Code: Select all

x = 139, y = 38, rule = B2e3/S1c23a
3$10b2o$10b2o10bo3bo15bo4bo15b2o12b2o4b2o21bo13bo12bo$3b4o2bo2bo7bo2bo
bo2bo11bo2bo2bo2bo13b2o12b2o4b2o21b3o11b3o10b3o$19bo9bo9bo10bo8bo3b2o
3bo7bo2bo2bo2bo20b3o11b3o10b3o$3bo2bo4bo7bo9bo9bo10bo7bo2bo4bo2bo34bo
3bo9bo3bo8bo3bo$9b3o11b3o17b4o11bo3bo2bo3bo9bo2bo21bob2obo8bob2obo7bob
2obo$5b4o13b2ob2o15b2o2b2o13b2o2b2o9bob2o2b2obo18bo2bobo8bo2bobo7bo2bo
bo$8bo9b3ob2ob2ob3o7b3ob2o2b2ob3o11b2o10bob3o2b3obo19bo13bo12bo$18b2o
9b2o7b2o10b2o7bo2bo2bo2bo9bob2obo$6b2ob3o7b2o7b2o9b2o8b2o7bo4b2o4bo5bo
bo6bobo33bo12bo$3b2o4bo51b2o2b2o54b2o11b2o$3b2o3b2o51b2o2b2o$5bo2bo50b
o8bo48bo5bo6bo5bo$57bobo8bobo46bob2obo7bob2obo$57b2o10b2o45b3o10b3o$
117bobo10bobo$117bo2bo9bo2bo3$120bo12bo$118b2o11bobo$133bo$115b2o16b2o
$117b3o13b2o$115b2ob2o$131b2o$130bobo$127b4obo$128b2o$128b2o$127bo!

The small c/4 diag ship might appear naturally, such as one of the c/3 in a corresponding symmetric soup.

Nice!

[83bismuth38]

aight, ya got me. this rule looks worthy of my near-useless-hand-searching-until-i-find-a-signal-and-oops-omniperiodicity!
technically new sl:

Code: Select all

x = 11, y = 13, rule = B2e3/S1c23a
6b2o$6bo$8bo$7b2o$4b2o$2o3bob2o$o2bo3bo2bo$2b2obo3b2o$5b2o$2b2o$2bo$4b
o$3b2o!

believe it or not... that's all i found.

[Hunting]

aight, ya got me. this rule looks worthy of my near-useless-hand-searching-until-i-find-a-signal-and-oops-omniperiodicity!
technically new sl:

Code: Select all

x = 11, y = 13, rule = B2e3/S1c23a
6b2o$6bo$8bo$7b2o$4b2o$2o3bob2o$o2bo3bo2bo$2b2obo3b2o$5b2o$2b2o$2bo$4b
o$3b2o!

believe it or not... that's all i found.

That's not a new SL... that's some carrier combine in an strange way.

[Hdjensofjfnen]

Indeed, it is!
Since none of the components are individually stable (if you take out the 4 carriers, the center isn't), it is an object by definition, and thus a new still life.
Nice one, bismuth!

[Hunting]

Indeed, it is!
Since none of the components are individually stable (if you take out the 4 carriers, the center isn't), it is an object by definition, and thus a new still life.
Nice one, bismuth!

It isn't, in my definition. It is just a bunch of carrier, and I found that "New SL" when I found this rule.
EDIT: I found it with AlephAlpha's Mathematica searching program. I don't agree if this is a new SL.

[77topaz]

Well, then your definition of a still life is different from the one everybody else uses! Might want to reconsider that...

Bismuth's pattern cannot be partitioned into more than one subpatterns that are stable by themselves, so it is a strict still life.

[Hunting]

Well, then your definition of a still life is different from the one everybody else uses! Might want to reconsider that...

Bismuth's pattern cannot be partitioned into more than one subpatterns that are stable by themselves, so it is a strict still life.

Okay. Searching SL in this rule is pointless, because the result is very uninteresting like this.