This is a rule I designed to have five distinct small spaceships:
Code: Select all
x = 51, y = 4, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
bo10b3o9b3o9b3o10bo$3o9bobo11bo10b2o9bobo$26bo11bo10b2o$50bo!
Sample soup:
Code: Select all
x = 100, y = 100, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3b2o4b4o6b2ob2o2b2o7bob2obo7bobobobo3bo2b4ob3ob2o4bobobobob4obobobo3b
obo$2o2bob2obo3bo2bobobo5bo8b5ob4obo5b4obo2bo2bobob2o5b2o3bo4bobob3o5b
2o$4obobob4o4bo2b4o2bob2o2bo4bobo2b2obo2bo3b4o5b3o2b4ob2obo6b3obo2bo3b
2o2b3o$3obo2b2o3bob2ob3o6b5ob5o2bob2o3bo2b2obo12b2obo7b5o7bob3o4bo$2o
bobobob5o5b2o3bo2bo6bobo2b3o2bob4o5bo4bo4bo4bobob3o3bob4obo2b4o2b2obo
$2bobo3b6o2bob3obo3bo3bob3o2bobo3b2obo5bo3b2o4b3o2bob3obob4obobob2o3b
obobob2obo$2b3ob3obo3b2ob2o3b2obob3ob2obobo7bobob2o3bo4b3o6b2o4bo2bob
4o3b3ob2ob2obob3o$bo4b6o2b2o4b2o4b2obob3o2b2ob2o2bob2ob5o2bo4bob3o2bo
2bob2obo5bobob2o4bo2b3obo$4o2b2ob3o2b7o2bo3bobo2bo2b5o3b2ob3ob4ob5o2b
o2b4obob5ob4ob3o2b2obo2b2obo$5b3obo6b3ob2o2bo2bobo2bob3obo2b2o2bobo3b
o2bo2bob6ob4ob2obobo2b2o4bo2b2obobo3b2o$2o2b2obo4b7o2b2ob3o8b2obo2b3o
2bobobob2o2b2ob2o4b3o5bobo3b10o2b3obobo$3obo5b3o5bobo4b4o3bob3ob3o2bo
7b2o3b3o6b3o2bob2ob6obob3o2b3obobo$b2o3bo2b3ob8obob2o2bo2b4o2b4ob2o2b
obo2b3ob2o3bob2o2bobo4bobobo2bobo2b2o2b3ob4o$ob2o2bob2obobob2o2bo5bo5b
4ob2o2bobo7b3o3b2o2bobob3ob3ob2o3bo2b2o2b3o7bob4o$2b3ob3ob2obob2ob3ob
o9b2o2b4obo2b3o3b2o2b5ob2o3b3ob2ob3o2b2o6bo2b5ob2obo$o3b2obo4b2obob3o
2b2ob5o4bob4ob2ob5o3bob5obob2o2bo2bobo4bobobobobob5ob2o2bob2o$obobobo
b2o9bo2bob2ob4ob2o2bo3bob3ob5o2b4o2b3o2b2ob2obo3bo4b2obobob2ob2ob3o3b
2o$bo2b3o2b3o3bob2o2b7obo2b4obo3b3o4bo2bo2bobo2b3o2b7o2b3o3bobo4bo2b2o
b2ob2o$obo3bo2bobob2ob3o3bo2b4obo3b2ob2ob4o3b2o2bo2bo3b2o2bo4b2o3bo3b
ob2obo3bo4b2o2bo4bo$obob3obo2b4obo2bob2ob2o3b2obo2bobo3b2ob4ob5obob3o
bo2b2o3b3obo3b3o3b2o3b3ob3obobo$obo2b2o2bob2o2bob3obobob2o2b3o2bo2bob
o2bob3o3b2obobo4bobo3b2obobobob3ob4obo4bobo3bob2o$3b5ob2o2b5o4bob5o3b
3o2bob2o2bob2obob3o3b3o3bob5ob3ob5o4b9o7bo$b5obobo3bob2obobobo2bobob3o
b3ob5o2b4o4b2obob2o2bobob2o2b2o2b2o2b4o2bobobob2obo2bo2bo$ob3obo2b2o2b
ob2o3bo2bob2ob6o2bo2b2ob6o3b3o3b2o4bo2b2ob6o2b2o2b2obo3bo2bobobo2b2o$
o6b4o2bo4b3ob2obobo2b2obob2o2bo9bobobob3obob2ob4o2bob3obo2bo4bobo2bo2b
2o3b3o$2b3ob2o2b3o2b3o2b2ob2o2bo4b3obob2o2bo2bo3bob2o4bob2ob2ob2o2b2o
3bo2b3o2bob2o2bobob2o$o2b3o5b3o4bo2b3o6b6ob2o6b2o2b3o3b3o5b2obob3o2b2o
5b2ob2o2b2o2bo3bo2bo$o7b3o4bo2bo2bob5o2b5o6b3obobo2b2o5bo2b3o2b2ob2ob
2ob2ob2o3b3ob4ob3o2bobo$2o5b2o4b2o3b2obo2b2o2b2o3b3obob5ob3obobo3b6o2b
8o5b3obobobob4obo3bobo$3ob2obo2b2o2b2obo5b2obob2ob2ob4obo3bob2o2bob5o
2bo3b3o2bob4o3bobo3bo2b2obo2bo2bo3bo$3o2bob5obobob2obob4o4bo3b3obo3bo
bobob2ob2ob3obo4b2o3b2obobob2obo2b7obo2b4ob2o$o3bo3b4o2bo4b4obo4bobob
obo5bo2b2o2bobo2bobo2bo2bo2b2ob5ob3ob3ob3ob9ob2obo$8obobob5ob2obob8o3b
2o4b4obob2o5b2o3b3ob6ob7o2bobo2bo5bob3ob2o$2ob3ob2obob2o3b2ob2o3b5obo
bo3b3ob7o3b2o2b2obo2b5ob2o2bobo2bo2b2o3b2o2bo4bob2o2bo$o4b2o2b4ob3o4b
o2b2o2b2o3bobo2b2o2b2o3b3ob2o2bo5bobo2bob2ob3obo2b2o2bobo4b4o3bob2o$4b
4o2bobob3obo2bobo3bo2b2o2bo2bob3o3b4obo4b2o2b7obob11o3b2ob2ob2ob3o$2b
ob3ob3o4bobo2b2o2b2ob6o3b2obob2obob2o2bobobob2ob3o3b2ob2o7bo3bobo2bob
ob2o2b2o2b2o$o2b3o4b4o3b2ob2o3bobo2b3obo2bobobobob2o3b7o2bo2bobo3bo2b
2o2b2obob3o2bob4ob2o3bo$b2ob5o2b3ob4obo4bob2o3bobo2bobob4ob2ob7ob2o3b
ob3o2b2o2bo3bobob3o2bobob8obo$2b3obob3ob5ob2o3b7obo3b2o3b4o2bob2ob3o7b
obo3bob3ob4ob2o4b3obo2b4obobo$o4bobobobob6o2b3o2bo2b2o2b2o3b4o2b2o4bo
b2ob3ob2obob6ob5o3bo2bobo5b2obobob3o$3o3bo3b3o12bobobob2o6b2o2bo2b2o2b
2o2b7obo3b5o2bo2b4ob4o2bob3obobo$ob6o4b6o3bob2obo2b4o3b3ob4o3b2obo3bo
bobo2bobo2b5o2b2o3b3o3bo3b2obo2b2ob3o$o4bob2ob2ob2ob3o2bobo3b2o6b2obo
b2ob2ob10obob4ob2ob2o3b2o4b2ob5o2b3obo3bob2o$bo3b2o2b2o5b2o3b4ob2ob2o
bo3bob3ob3ob2o2bo4b3obo2b4ob2o3bob6ob2o3bo2bob2o2b4o$3bo3bob2ob2o2b6o
5b2o2bobob3o2bob6obo2bobo2bo3bo2b3obob4ob7ob4obo2b2o4b2o$ob3o3b2o2bo2b
2o2b5obo3b2o7bo2b3obo2b2ob2o2b4ob2obob4o3bo3b3o2bobob2o4b3o2b2o$b2ob2o
2b3obo2b3o2bo2b2obob3o2bob2ob2o4b2obo7b3ob2o2b2obo4bob2obobo2b3ob2obo
5b2ob2o$5obob2obobo2bo2bo2bo3bo2bo4b2o4b2ob2o3bo2bobo2b2o7b2ob2obobob
obo5bo3bobo3bob3obo$4b2ob2o2b3o4bobo7bobob3ob2ob2o2b4ob3o2bo2b2obobob
obo2b3o2b3o5b3o2b3obobobo2bo$2bobob5ob6obobob2o3b2ob2obo2bo4bob2obobo
5bobob2ob3o2bobo3bobobobobob3ob3o2bob2o$7obob3ob4o2bobo2b2ob3obo5b3ob
o3b2obo2b3ob4ob4ob2ob2o8b5o3b4o2b4o2bo$o4bo2b2ob4o4b2o2bobob4o3b3ob3o
b2o6b2o2bo2b5obo3bob2o2b2ob4o2b6o4bo3b2obo$2o2b3ob3obobobob3o2bobo3bo
2b3o3b2o3bob2ob2ob4obobobobobob4o2b2ob5o2bob2o3bob4o$bo5b4ob2o3b7o5bo
4b5ob4obo2bo2bob2obobobob2obo2b3ob3obobo2bo2bo2bo3b5o2bo$5ob3o3b2o4bo
b3o4bo4b2ob2ob2obo2bo2bo2b2obo3b2ob5o2b2ob4o3b2obob2ob7obob2obo$ob3o2b
2o4bob2ob4o2bo2b2obo4b3o4bo2bobob2o4b3o3bobob4o3bo5bobo3b2ob2o3b2ob5o
$4b2o3b3o2bob8obo3bo4b3ob3ob3ob4ob2o2bo2b3ob3obob3o4b6ob2o3b3o4b3o$4b
obob2o5b2o3bo5bobo2b2obobo3b2obob4o4b4o2b3ob2obo2b7o2b3o4bobo2bob2o3b
2o$bo4b3obobobobo4bobo4b4o4bo2b2ob2ob2obobob2o2b6o2b3o3bob2o3bo2b2o4b
ob2obo5bobo$b2o2b2ob4o4bo2bobo2b3ob2o2bobob3o4bo3bo3bob3o2bob6ob3obob
o3b2ob3ob2o2bob5o4bo$bo5bob3o3b3ob2o2bo3b2o2bob4ob2obo2b3obob2o2bo2b2o
b2obobob4ob2o7b2obobo2bo3bo4bo$2bob4ob3obo4b2obobobobob2obo3b5ob7ob3o
b3ob4o4bob3o2bobo2bo2bo2bobob2o6bobo$obobo2b2o3b2o2b2o2b4obobo5bo2b6o
b2o3bobobo2bob2obo2bo2bo2bobob2ob2obo4bobo3b3o3b2o$4bo2bo3bobo9bo3b2o
bobobo4bobo4b2o5bob6obo3bo2bob2ob5obo2b10o2b5o$ob3o3bo5bo3b4o5bobo2bo
b2o2bo2b6o3b4ob3ob2ob2obobo4bobob5o3b2obobob6obo$b3obob3o2b4obo2bob7o
bobob4o6b2o3b3o2b2o2bo2b2o3b2o3b3ob4o4b6obo3b3obo$4o3bobo2bo2b3obo2b3o
b2o2b4o2bo2b4obobo5bobo2b2obo2b2o7bob3o2bo3bobobobob2ob4obo$obob4o3bo
b2o2bobo2b2obo2bob3o3bobo2bo2b2o2b2o2b4ob3ob2o2b2o5b7obobobobob3ob6o$
bobobo2b2ob3ob2o4bob2o2bo2bob3obo2bo2b7o4bo3b4o4bo4b3o3b2o2bob2o3bo6b
ob2obo$4o2bob2ob2o2bo3b2o5bob2o2bob3o2bobobo2b5o2b4o2b2obo2b8o2bob3o4b
ob6o4bo$2o2bobobo2bobob2ob2o3b3ob3obo2b8obo2b2obobo3b2obo2bob2obob5ob
ob2o5bobo4bobo3b2o$obo2b2o3b2o2b2o2bob2ob2o3bo3b2o2b3o6bobobobo8bob2o
b8o2bo2b2o3b2o2b2obo3bo$2b2ob4o2b3ob2o2b2ob2o2bobobobob2o3bob2ob3o2bo
b2ob2obob5obob4ob3obo5b2o2b3o5bo2bobo$3bob4ob4o2bobo2bo2b2o3b3o2bob6o
bob5o2bo8bobo3bobo4b2obo2bo3b4obobo3b2ob2o$2obobobob2obob2o3bo3b3ob2o
2b2o3bo2b2obo7bob2ob4o6bo2bo2bob4o2bo4bo4bob2o2b2obo$3b3o2b3o2b4o2b3o
2b3ob6ob3ob2o5bo2b4o2bob2ob3o4bob2ob2o3b4obob3o3b2ob2ob4o$ob2o5b2ob4o
bo2bo2b4o3bobob3ob2o2b4o9b2o3bo4bo3bobo2b2o2b2o3bo2bo3bo2bobob2o$ob3o
2bo3b2o3bob2o5bo2bo3b3obobob2obob4o5bo2b3o5bo2b3o2b2ob4o3bobo2b2o3bob
o3bo$2bob2obo2b4o2bobo2bo3b2ob2o2bobo3bo2bo5b2obob5o2bo2b2o3bobo2bobo
bob2ob2o3bo4b2obo3b2o$5ob2obo4b3o6b2obobo2b3obobob2o3bob2o4bobob2o2bo
4bob2o3b4o2bob4o2b2o3bobob2o2bo$4ob2o3b4o2b2ob3o3bob3o5bo2bobo3b2obo7b
2obobobobo2b3o2bobob4obo4b2obo3b2o2bo$2b4ob2o2bobo2bo2bo3b2ob4o2b2obo
bo2bo3b4o3bo3bo2b3o2bob3obob10obob3obo2bobob3o$b3ob2o5bo3bobobob2ob2o
bo2b2o2bo3bob4obo2b2obo2b2ob4obo4b4o2b2obo3b6obobobobob2obo$obo3bo2bo
b2o5bo2b2o5b2o3b4o2bo2b2ob5ob2o3bo2bobobo2bo2bobobo3bob3obo3b2ob2obob
3o$3obob2o2b3obob2ob3o2b5o3b2ob3ob5o3bobob3o2bo3bo2bo2bobob3o2b5o2bob
o2b2obob3o2bo$bob6o2b2o3bo7bo3bo3b3o3bo4bo2bo4bob3o2bo2b2obo3b3ob2ob3o
b3o2bob3ob8obo$3b4o2b5ob2o2b2o3bo2bo5bo2b4obobob3o2bobobo4bobobob9o3b
o3b2ob2o4b2ob3ob2o$2o3b2ob3o3b2ob2obob5o2bobo2b3obo3bobob2obob3o2bo2b
2o5b2o3bobo2b3o2b3obo3b6obobo$bobo2bo2b2o2b6o3bo2bo2b3ob2o3bo6bob3o2b
o3b3obob9o3b2o4bob2ob3o2b6o$b4obob2obo2b2o3b2obo2bobo2b2o2b2o2bo2b2ob
obob3ob5o3bob2o3bob2o2b6obob3o2b5o3b3obo$3o2bobob2o3bobo3b6obobob2obo
bo2bobo4b3obobo2b2o2bob2ob6ob6obo3bo3bo2b2o3b2o2bo$2bob4o3bo3bob3obob
2o3bob6o7b4o3b3o4bo2b2ob2ob2ob2ob2o2bo2bo2bo2bob2ob2obo5bo$4o3b2obob3o
b2obob2obo3bobo4bobo2bob2o3bo2bobo5b3obobobob2obobob3obo4b4obob4ob2ob
o$3b4o4b3ob2obob2ob3o2b3o5bo6bo2bob2o3b4obob2o2b2o2b2o2bob3o3b6obo4b3o
2bo$5bo3b2ob2o2bo2bobo2bo6b7o2bo2b2o2b7obo2bo5b5o2bo2bo4b2o2b4o2b2o8b
o$b3o4b3o4bobo2bo2bob2obobobobobob4ob2o3bob2ob2ob7o2b2o2bob3o2bo2b2ob
o3b2o3b2ob6o$bo3b3o2b2o4bo2bobo2b2ob3ob2obo3bo4bob5ob2obobobob3obo4b2o
bo4bo3b2o3bo4bobo2b2o$bob2ob2ob2ob2o4b2o2b2o3b3o3bobob2o2b2obobobo2b3o
b2ob2ob3o2bo3bo2b3o3b3o3b2obo2b2o3b2o$2o2b2obo4bobob5obo3b2obo2b3ob2o
b2o3b2ob4o3bo3b2ob5obob11obo2bo5b5o3bo!
The most common oscillators are the following two:
Code: Select all
x = 11, y = 3, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
bo8bo$o8bo$9b2o!
Spaceships:
All five basic ships have different speeds. The T travels at 4c/9 orthogonal and the U travels at c/2 orthogonal. The V travels at c/5 diagonal and the A travels at c/8 diagonal. The R is oblique with a speed of (2,1)c/19.
Syntheses:
The T is the most common spaceship, so it will be used for syntheses. Since the T has nine phases, the set of 2T collisions is too big to enumerate in one post. Here are some syntheses of the oscillators and the basic spaceships:
A 2T duoplet synthesis:
Code: Select all
x = 19, y = 13, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3o$bo9$16b2o$16bobo$16b2o!
Code: Select all
x = 16, y = 13, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3o$bo9$13b2o$13bobo$13b2o!
Code: Select all
x = 16, y = 15, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3o$bo11$13b2o$13bobo$13b2o!
Code: Select all
x = 17, y = 12, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3o$bo8$14bobo$13bo2bo$14bobo!
Code: Select all
x = 26, y = 17, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3o$bo13$23b2o$23bobo$23b2o!
Code: Select all
x = 18, y = 11, rule = B2e3-cjnq4ary5kn6a/S2-in3ir4jw6k
3o$bo5$17bo$16b2o$15bo$16b2o$17bo!