B34tw/S23-c7c

[TigerCub414]

This is a rule that I explored a while ago. It is somewhat explosive, but it has some interesting patterns. The smiley spaceship, as I call it, is very common because traffic light and honey farm sequences form four copies of the spaceship:

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x = 55, y = 25, rule = B34tw/S23-c7c
52b2o$51bo2bo$51b3o8$2o3b2o$3bo$o5bo$bo3bo$2b3o9$29bo$28b3o!

There is also an antelopewise puffer that I found in a soup:

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x = 35, y = 52, rule = B34tw/S23-c7c
2$25b3o$26b2o$24bobo$25bo4$21b2o$4b2ob2o12b2o$4b2ob2o3$12b2o$12b2o5$22b
o$22bo$5b4o13bo$4bo4bo$7b2o2b2o$5bob2o2b3o$5b2o4b2o$6b2o3bo11b2o$7bo15b
2o$bo$bo$bo3$22bo$23bo$21b3o$18bo3bo$18b3o$19b2o3$23b3o3$18b2o$18bobo
$18bobo$18b3o!

I tried to make a reflector in this rule. Here are two failed attempts:

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x = 25, y = 22, rule = B34tw/S23-c7c
17bobo$17b2o$18bo$7b2o$7b2o4$2o$o2bo$b3o2$b3o$o2bo14b2obo$2o6b2o8b2ob
3o$8b2o14bo$18b2ob3o$15b2o2bobo$15bob2o$17bo$17bobo$18b2o!

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x = 16, y = 15, rule = B34tw/S23-c7c
10bo3bo$9bo5bo$9bo5bo$10bo3bo$11b3o2$2b2o$bobo8b2o$bo10b2o$2o2$5b2o$4b
obo$4bo$3b2o!

[confocaloid]

[...] I tried to make a reflector in this rule. Here are two failed attempts: [...]

Added two catalysts to the first one. Still failed, but at least all the catalysts survive:

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x = 25, y = 23, rule = B34tw/S23-c7c
17bobo$17b2o$18bo$7b2o$7b2o4$2o$o2bo$b3o2$b3o$o2bo14b2obo$2o6b2o8b2ob
3o$8b2o14bo$18b2ob3o$4b2o9b2o2bobo$3bobo9bob2o$3bo13bo$2b2o13bobo$11b
2o5b2o$11b2o!

The census b34tws23-c7c/ror_stdin_test collects some known objects from Conway's Life that still work in this CA.

I think there are no alien still lives. Not counting S7c, all other survival conditions are a subset of Life's survival conditions, and the birth conditions are a superset of Life's birth conditions; this means having S7c in some 3-by-3 window is the only opportunity for an alien still life.
The condition S7c (an alive cell with seven alive neighbours and one dead diagonal neighbour) cannot appear in a still life, because in that case each of four alive orthogonal neighbours will have at least four alive neighbours, which forces the current condition of each of those four cells to be S7c. Continuing the same reasoning repeatedly for every cell whose condition is forced to be S7c, one is led to the conclusion that the current condition of every cell in the universe must be S7c. That implies all cells are alive, and that also implies some cells are dead (S7c specifies one dead neighbour); contradiction.

edit 1: here is a p16 oscillator (a glider predecessor hassler), probably known:

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x = 16, y = 16, rule = B34tw/S23-c7c
12bo$10b3o$9bo$2o7b2o$bo$bobo$2b2o4b2o$7bo2bo$10bo$7b3o2b2o$12bobo$14b
o$5b2o7b2o$6bo$3b3o$3bo!

edit 3: a few more reactions, including the beehive eating the p6 spaceship, an useless reaction where eater 2 interacts twice, and an eater1-assisted one-time glider shifter (replacing the eater 1 with a block makes an one-time glider duplicator)

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x = 130, y = 23, rule = B34tw/S23-c7c
120b2o$117b2o2bo$116bob3o$116bo$113b2ob3o$112bobo4bo$112bobo3b2o$b2o
32bo11bobo37bobo20b3ob2o11bobo$o2bo30bobo10b2o25bo12b2o20bo17b2o$b2o
31bobo11bo25b3o11bo21b3ob2o12bo$32b3ob2o39bo34bob2o$31bo44b2o$32b3ob2o
$34bob2o6$5b3o31b2o38b2o38b2o$4bo3bo30b2o38b2o38b2o$4bo3bo$3bo2bo2bo!

edit 4: a periodic (p10) eater for the p6 spaceship, found while trying to find a reflector

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x = 45, y = 14, rule = B34tw/S23-c7c
22b5o$21bo5bo2b2o$21bo5bo2b2o6bo$22bo3bo9b3o$24bo10bo$35b2o$o$b2o39bob
o$3bo37bo$o2bo38bo$3bo36bo3bo$b2o39bo$o40bo$42bobo!

[confocaloid]

p10 oscillator:

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x = 3, y = 5, rule = B34tw/S23-c7c
3o$2bo$obo$2bo$3o!

Soup:

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x = 16, y = 16, rule = B34tw/S23-c7c:T96,96
2bo2bobo5bobo$2o3bobo2b2o3bo$bo3bo3bo3b3o$b2o3b3o3bo2bo$2b2ob6obo$2o3b
5o2bob2o$o3b2obo3b5o$3b2o3bo2b2o$o2b2obobob3o$2b2ob2ob2obo2b2o$bob2obo
b2o4b2o$b2ob2obo5b2o$3bobobob2ob2obo$2o2bob2ob5o$obob4o4b2o$2b2obob2ob
5o!

p8 oscillator:

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x = 5, y = 5, rule = B34tw/S23-c7c
3o2$bobo2$2b3o!

Soup:

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x = 16, y = 16, rule = B34tw/S23-c7c:T96,96
2bob11o$2o3b3ob3o2bo$5ob2ob2o2b3o$o3bob3ob3obo$4o2bobo3b4o$ob3obo2b2ob
ob2o$ob2o2bo5b2obo$3bo5bo3bo$2b3o5b2o3bo$o2b2o3b3obob2o$2obo2b2obo4bo$
o4b2o3b2ob2o$o4b3o4b3o$3b4ob3obobo$bobo2bobob2o$6ob4ob2o!

p36 oscillator:

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x = 4, y = 4, rule = B34tw/S23-c7c
3o$bobo$4o$bobo!

Soup:

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x = 16, y = 16, rule = B34tw/S23-c7c:T96,96
bo3b2ob4o2b2o$bo2bo2b2ob2o3bo$2ob2obob2o2bob2o$bob3o6b4o$o2b3o2b4o2b2o
$2o2b2o3bob5o$bobobobob2ob3o$o2bo6b2obo$b4o3b3o2bo$o2b2ob2o5bo$6o2b3ob
3o$2bo2bo3b2ob2o$b2o2bo2bob2obobo$bobobo2bo2bo2bo$2b2obo2bo2bob3o$5b2o
4b4o!

Another p10 oscillator:

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x = 3, y = 5, rule = B34tw/S23-c7c
3o$2bo2$obo$b2o!

Soup:

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x = 16, y = 16, rule = B34tw/S23-c7c:T96,96
ob2obob3obobo$2obo2b2obo3bo$bobobo2b2o2b2obo$2bo2bobob2o2bo$4b3obobobo
2bo$2o2bo2bo3b2o$o2bobobo2b5o$o2bobobob2o2b2o$b2o4bo7bo$3bo3bobob2ob2o
$3bob3o4b4o$o4bob4o2b2o$b3ob2o7b2o$2obobob2obo4bo$b2ob2o5bo$ob3o2b3o5b
o!

Yet another p10 oscillator:

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x = 7, y = 3, rule = B34tw/S23-c7c
3bo2bo$4o2bo$3bo2bo!

Soup:

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x = 32, y = 32, rule = B34tw/S23-c7c:T192,192
2b2o3b2o2b2obob8obob2o2bo$obo3b2obob2o3bob7o3bob2o$2obobo4bobo2bobo2b
2o2b2ob4o$o6bob2ob3ob3o2bo2b2o2b2o$bob2obob2o4b2o3b2o2bob2o$ob2o2bo2b
3ob2ob3obo3bo2bo2bo$2bo2b2ob5ob4obobobob3ob2o$3ob3obo2bob3ob2o3bo6b2o$
b2ob2ob2ob9ob2o3bob2o2bo$2b4o2bo5bo4bo3bob4ob2o$2b3o3bo5b3ob2o2bob2o2b
obo$2b2o2bo2bo3bobo2bob2ob2obo$2bo5bobo4b2o2b2o2bob2obo2bo$2ob2o5b3o2b
o3bo2bo4b3obo$bo4bo2b2o3bob2ob7o2bobo$b3obob2o2bob4obobobo4bobobo$o4bo
bob2ob4o3bo2bo2b3o2b2o$bobo2b3o3b6o2bo2bobob5o$b2obo4bobobo3b3obobob2o
$5ob3o3b3o2bo2b3o2b2ob2o$2bobobob2o3b2ob2obo2b2o2bobo$bob4o3b2ob2ob2o
2b3obobo$2o2b4ob2obo4b3obob2ob2obobo$bob2o7b3o2b2o3bobo4bobo$4o5bo2bo
2bobo5b4obob2o$3ob2o4bobo6b3o2b2o2bo$ob8o6bo3bo6bobo$obob3ob4ob3o2bobo
3b2obo2b2o$3bo2bo3bo6bobobobo3bo3bo$3b4obob3o2b2o2b2o2bo5bo$b2o6bo2bo
6bo2bo4bob3o$3bobo4bo3bobob2o2b2o2b2ob3o!

p22 oscillator:

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x = 11, y = 6, rule = B34tw/S23-c7c
2b2o3b2o$b4ob4o$2ob2ob2ob2o$b2obobob2o$2b3ob3o$3bo3bo!

Soup:

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x = 32, y = 32, rule = B34tw/S23-c7c:T48,48
bobob2o5bobo3b3obobobo3bo$ob6o6bob4ob2ob2obob3o$3obobo4b2o2bo3b3ob3o3b
2o$2o4b6o4bo3b5o2bobo$3b5ob4o3b2obo2b3o2bo3bo$3ob3o3bobo3b3o3bo2bo3bo$
ob2o2bo2bobo4b2o2b3o3b2ob2o$2o2b4obob3ob3o2bob5obo$2ob3o7bo2b3o10b2o$o
3bob4ob8ob2o3b5o$5bobobo2bo2bob2o2bo2b2ob5o$o4b2ob2obo3bob7obo3bobo$bo
2b2obo2b2ob3o2bo2bob2ob2ob2o$ob2o2b3ob11obob3obo$2o2b2o2b4obob2ob2ob2o
3b2obo$5o2bob2ob5o2b2o2bo2b2o$o3bo4b2ob3o2bobo2b3obob2o$2bobobo3bobobo
bo3bo3bo4bobo$2b6obo2b6o3bo2bobo$2ob3o2bob3o3b3obo2b2o2b2o$ob2o2bobo2b
3o5b4obo4bobo$2ob3obo4bo2b2ob2o2b2obo2b2o$obobob2ob2o2bobob6ob2obob3o$
o3b3obo3bob5obob2ob3ob3o$bo3b10obob4obo2bob4o$b2obobobo9b3o2bo2b4o$o2b
o3bob4ob5o3bobob3ob2o$o3b3o3bobobo4bobo2bob6o$b2o2b2ob2ob3o2b2o3bo4b2o
b2o$b2obobob2o4b2o2bo2bob3o4bo$3b3o2bo2bob3o3b4obo2b4o$3o3bo5b3obobo4b
3o2bo!

[hibiscus]

p7 oscillator:

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x = 8, y = 9, rule = B34tw/S23-c7c
b6o$o6bo$obo2bobo$b6o2$b6o$obo2bobo$o6bo$b6o!

Monomerized version:

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x = 8, y = 7, rule = B34tw/S23-c7c
b6o$o6bo$obo2bobo$b6o2$3b2o$3b2o!

A new p36 (I think?), coincidentally mod 18:

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x = 10, y = 13, rule = B34tw/S23-c7c
3bo2bo$3bo2bo2$2o6b2o3$2o6b2o2$2b2o2b2o$3bo2bo$3b4o$3b4o$2b6o!

p18 mod 9 oscillators:

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x = 27, y = 11, rule = B34tw/S23-c7c
3bo20bo$2bobo18b3o$2bobo17bo3bo$bobo17b2o3bo$obo19bob3o$obo18b2ob2o$bo
18b3obo$20bo3b2o$20bo3bo$21b3o$22bo!

p126 LCM oscillator:

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x = 11, y = 22, rule = B34tw/S23-c7c
2b3o$2b3o$b6o$2o3b2o$bobo$bo5bo$5bobo$2b2o3b2o$2b6o$4b3o$4b3o7$3b8o$4b
6o2$6b2o$6b2o!

[Drelectron8]

A c/4o, c/3o and c/5o respectively.

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x = 25, y = 16, rule = B34tw/S23-c7c
19bobo$4bo2bob2o5bob2obo$4bo4b2obob2ob2o4b2o$4bo3b3o3b3ob2obo$2bo2b2o
b3o3b2o3bobo$2o3b3o2bo$2bo7b2o$10b2o$10b2o$2bo7b2o$2o3b3o2bo$2bo2b2ob
3o3b2o3bobo$4bo3b3o3b3ob2obo$4bo4b2obob2ob2o4b2o$4bo2bob2o5bob2obo$19b
obo!

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x = 21, y = 15, rule = B34tw/S23-c7c
7b2o$6bo2bo$5b2obob2ob2o$6bo3b2o3b2o$5b2obo10bo$2b2o2b4o6bobobo$bobo3b
ob2o2bo2b2o$o2bo9bob2obobo$bobo3bob2o2bo2b2o$2b2o2b4o6bobobo$5b2obo10b
o$6bo3b2o3b2o$5b2obob2ob2o$6bo2bo$7b2o!

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x = 15, y = 15, rule = B34tw/S23-c7c
11bo$10b4o$8bo5bo$7bo3bo$7bobobo$3b3o3bo3bo$bob2obo3b3o$o$bob2obo3b3o
$3b3o3bo3bo$7bobobo$7bo3bo$8bo5bo$10b4o$11bo!