Here are examples of each of the 43 square grid symmetry types, using a slightly modified version of Dean Hickerson's naming system (I use f instead of c for "face", and v instead of k for "vertex"), picked from DRH-oscillators.
Complementary blinker as well as 2.4.4 appear to have been miscategorized and are therefore moved to a more fitting category - these use the Poison theme. I've also added examples for spaceships, oscillators with only spatial symmetry, as well as extra still life examples I myself deduced - these use the Generations theme.
Space Only
n
Code: Select all
x = 4, y = 4, rule = B3/S23
2b2o$bobo$bo$2o!
[[ GRID THEME Generations ]]
Code: Select all
x = 7, y = 6, rule = B3/S23
2b3o$o$o3bo$obo$2bo2b2o$4bo!
[[ GRID THEME Generations ]]
Code: Select all
x = 9, y = 9, rule = B3/S23
b2o2bob2o$o2bo2b2o$bobo$2bo$8bo$6b3o$5bo$6bo$7b2o!
[[ GRID THEME Generations TRACK -1/7 0 ]]
-f
Code: Select all
x = 5, y = 4, rule = B3/S23
2bo$bobo$bobo$2ob2o!
[[ GRID ]]
Code: Select all
x = 7, y = 7, rule = B3/S23
3bo$3bobo$bo$ob5o$bo$3bobo$3bo!
[[ GRID THEME Generations ]]
Code: Select all
x = 15, y = 10, rule = B3/S23
7bo$6bobo$5bo3bo$6b3o2$4b2o3b2o$2bo3bobo3bo$b2o3bobo3b2o$o5bobo5bo$bob
2obobob2obo!
[[ GRID THEME Generations TRACK 0 -1/3 ]]
-e
Code: Select all
x = 8, y = 5, rule = B3/S23
3b2o$2bo2bo$bob2obo$bo4bo$2o4b2o!
[[ GRID ]]
Code: Select all
x = 8, y = 5, rule = B3/S23
2o4b2o$obo2bobo$2bo2bo$2bo2bo$3b2o!
[[ GRID THEME Generations ]]
Code: Select all
x = 10, y = 13, rule = B3/S23
4b2o$3b4o2$2b6o$3b4o2$2b2o2b2o$2obo2bob2o$3bo2bo3$4b2o$4b2o!
[[ GRID THEME Generations TRACK 0 -1/10 ]]
/
Code: Select all
x = 3, y = 3, rule = B3/S23
bo$obo$2o!
[[ GRID ]]
Code: Select all
x = 4, y = 4, rule = B3/S23
2o$obo$bobo$2bo!
[[ GRID THEME Generations ]]
Code: Select all
x = 4, y = 4, rule = B3/S23
b2o$o2bo$bobo$2bo!
[[ GRID THEME Generations ]]
Code: Select all
x = 8, y = 8, rule = B3/S23
7bo$5b3o$4bo$5bo$2bo2bo$bob2o$bo$2o!
[[ GRID THEME Generations ]]
Code: Select all
x = 23, y = 23, rule = B3/S23
2b4o$2o4b2o$2o5bo$2b2obobo$7bo$3bo3bo$3bo4bo$5b3o3bo$5b2o4bo$11b2o$13b
o$13b3o3$16bo$15bob5o$14b2o5bo$14b2o3bo2bo$22bo$16b2obo2bo$19bo2bo$20b
2o$20b2o!
[[ GRID THEME Generations TRACK -1/5 1/5 ]]
.f
Code: Select all
x = 5, y = 3, rule = B3/S23
3b2o$obobo$2o!
[[ GRID ]]
Code: Select all
x = 7, y = 5, rule = B3/S23
2ob3o$o$bo3bo$6bo$b3ob2o!
[[ GRID THEME Generations ]]
.e
Code: Select all
x = 4, y = 3, rule = B3/S23
2b2o$o2bo$2o!
[[ GRID ]]
Code: Select all
x = 6, y = 7, rule = B3/S23
b3o2$2o2bo2$bo2b2o2$2b3o!
[[ GRID THEME Generations ]]
.v
Code: Select all
x = 4, y = 2, rule = B3/S23
ob2o$2obo!
[[ GRID ]]
Code: Select all
x = 4, y = 2, rule = B3/S23
b3o$3o!
[[ GRID THEME Generations ]]
+f
Code: Select all
x = 7, y = 5, rule = B3/S23
3bo$b5o$o5bo$b5o$3bo!
[[ GRID ]]
Code: Select all
x = 13, y = 9, rule = B3/S23
3b2o3b2o$2bo7bo$o4bobo4bo$4obobob4o$5bobo$4obobob4o$o4bobo4bo$2bo7bo$
3b2o3b2o!
[[ GRID THEME Generations ]]
+e
Code: Select all
x = 4, y = 3, rule = B3/S23
b2o$o2bo$b2o!
[[ GRID ]]
Code: Select all
x = 5, y = 8, rule = B3/S23
2ob2o$o3bo$b3o3$b3o$o3bo$2ob2o!
[[ GRID THEME Generations ]]
+v
Code: Select all
x = 8, y = 10, rule = B3/S23
3b2o$2bo2bo$2b4o$2o4b2o$bob2obo$bob2obo$2o4b2o$2b4o$2bo2bo$3b2o!
[[ GRID ]]
Code: Select all
x = 12, y = 14, rule = B3/S23
3b2o2b2o$2b2o4b2o$bo8bo$o10bo$bobo4bobo$4b4o3$4b4o$bobo4bobo$o10bo$bo
8bo$2b2o4b2o$3b2o2b2o!
[[ GRID THEME Generations ]]
xf
Code: Select all
x = 3, y = 3, rule = B3/S23
b2o$obo$2o!
[[ GRID ]]
Code: Select all
x = 5, y = 5, rule = B3/S23
bo$obo$bobo$2bobo$3bo!
[[ GRID THEME Generations ]]
Code: Select all
x = 11, y = 11, rule = B3/S23
4bo$2b3o$bo$bo2b3o$2obo3bo$3bo3bo$3bo3bob2o$4b3o2bo$9bo$6b3o$6bo!
[[ GRID THEME Generations ]]
xv
Code: Select all
x = 4, y = 4, rule = B3/S23
2bo$bobo$obo$bo!
[[ GRID ]]
Code: Select all
x = 4, y = 4, rule = B3/S23
2o$obo$bobo$2b2o!
[[ GRID THEME Generations ]]
Code: Select all
x = 4, y = 4, rule = B3/S23
2b2o$3bo$o$2o!
[[ GRID THEME Generations ]]
Code: Select all
x = 8, y = 8, rule = B3/S23
3bo$2bobo$bo2bo$o4b2o$b2o4bo$3bo2bo$3bobo$4bo!
[[ GRID THEME Generations ]]
rf
Code: Select all
x = 7, y = 7, rule = B3/S23
2o4bo$bo2b3o$bobo$2bobo$3bobo$3o2bo$o4b2o!
[[ GRID ]]
Code: Select all
x = 7, y = 7, rule = B3/S23
4b2o$2o3bo$obobo2$2bobobo$bo3b2o$b2o!
[[ GRID THEME Generations ]]
rv
Code: Select all
x = 8, y = 8, rule = B3/S23
3bobo$b4obo$o5bo$bob2ob2o$2ob2obo$bo5bo$bob4o$2bobo!
[[ GRID ]]
Code: Select all
x = 10, y = 10, rule = B3/S23
b3o$9bo$2b2obobobo$7bobo$2bo$7bo$obo$obobob2o$o$6b3o!
[[ GRID THEME Generations ]]
*f
Code: Select all
x = 3, y = 3, rule = B3/S23
bo$obo$bo!
[[ GRID ]]
Code: Select all
x = 11, y = 11, rule = B3/S23
4b3o2$2bobobobo2$obo5bobo$o9bo$obo5bobo2$2bobobobo2$4b3o!
[[ GRID THEME Generations ]]
*v
Code: Select all
x = 2, y = 2, rule = B3/S23
2o$2o!
[[ GRID ]]
Code: Select all
x = 8, y = 8, rule = B3/S23
2b4o$2bo2bo$3o2b3o$o6bo$o6bo$3o2b3o$2bo2bo$2b4o!
[[ GRID THEME Generations ]]
Space and Time
n-f
Code: Select all
x = 7, y = 9, rule = B3/S23
3b2o$b2o3bo$4o2bo$3bobo$3bo$bobobo$obobobo$obobobo$bo3bo!
[[ GRID ]]
Code: Select all
x = 5, y = 4, rule = B3/S23
bo2bo$o$o3bo$4o!
[[ GRID THEME Generations TRACK -1/2 0 ]]
n-e
Code: Select all
x = 6, y = 7, rule = B3/S23
2bo$2bobo$o4bo$6o2$2b2o$2b2o!
[[ GRID ]]
Code: Select all
x = 8, y = 9, rule = B3/S23
3bo$3bobo$bo$6b2o$2o$6bo$2bo$bo2bobo$b2o2b2o!
[[ GRID ]]
Code: Select all
x = 34, y = 23, rule = B3/S23
4b2o10b2o10b2o$4b2o10b2o10b2o$3bo2bo8bo2bo8bo2bo$3b4o8b4o8b4o$2bob2obo
6bob2obo6bob2obo$3bo2bo8bo2bo8bo2bo2$2b2o2b2o6b2o2b2o6b2o2b2o$bo6bo4bo
6bo4bo6bo2$2bo4bo6bo4bo6bo4bo$3bo2bo8bo2bo8bo2bo$4b2o10b2o10b2o2$b2o4b
2o4b2o4b2o4b2o4b2o$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$b2o4b2o4b2o4b2o
4b2o4b2o$2bo4bo6bo4bo6bo4bo2$14bo2$17b3o$17bo!
[[ GRID THEME Generations TRACK 0 -1/10 ]]
n/
Code: Select all
x = 7, y = 7, rule = B3/S23
2o$o3b2o$bobobo2$b2o2bo$3bo2bo$5b2o!
[[ GRID ]]
Code: Select all
x = 3, y = 3, rule = B3/S23
o$obo$2o!
[[ GRID THEME Generations TRACK -1/4 1/4 ]]
n.f
Code: Select all
x = 9, y = 7, rule = B3/S23
3bo$2bobob2o$bo2bobobo$o4bo2bo$obob2obo$b2obobo$5bo!
[[ GRID ]]
Code: Select all
x = 13, y = 9, rule = B3/S23
9b2o$3bo3bo2bo$2bobo2b2o$bo2b3o2b4o$o4b2o2bo2bo$4o4b2obo$4b2o2bobo$2bo
2bo3bo$2b2o!
[[ GRID THEME Poison ]]
n.e
Code: Select all
x = 12, y = 7, rule = B3/S23
3b2ob2o$3b2obo3b2o$8bo2bo$b6ob3o$o2bobo$2o3bob2o$4b2ob2o!
[[ GRID ]]
Code: Select all
x = 7, y = 6, rule = B3/S23
5b2o$3obobo2$bobo2bo$o4bo$2o3bo!
[[ GRID ]]
n.v
Code: Select all
x = 8, y = 6, rule = B3/S23
6b2o$3o2bobo2$bob2o2bo$o5bo$2o4bo!
[[ GRID ]]
Code: Select all
x = 16, y = 6, rule = B3/S23
2b2o8bo$bobo6bobobo$3bob2obobobo$2obobo3b2obob2o$3bo2bo5bo$2bobo7b2o!
[[ GRID ]]
nrf
Code: Select all
x = 13, y = 13, rule = B3/S23
bo$b3o7b2o$4bo6bo$3b2o4bobo$9b2o$6b2o$6b2o$6b2o$2b2o$bobo4b2o$bo6bo$2o
7b3o$11bo!
[[ GRID ]]
nrv
Code: Select all
x = 12, y = 12, rule = B3/S23
4b2o$4b2o2$4b4o$3bobo2bob2o$3bo2bobob2o$2ob2o3bo$2obo4bo$4b4o2$6b2o$6b
2o!
[[ GRID ]]
Code: Select all
x = 12, y = 12, rule = B3/S23
4b2o$4b2o2$4b4o$3bobo2bob2o$3bo2bobob2o$2obo2bobo$2obo4bo$4b4o2$6b2o$
6b2o!
[[ GRID ]]
Code: Select all
x = 21, y = 21, rule = B3/S23
9bo$8bobo2$6bo3b2o$5bo5bo$6bobo$8b2o6bo$16bo$2bo5b2o4b3o$2bo11b2o$3o7b
2o2b2o2b3o$2o6bob2o4b3o$2o2b3obobo5b3o$2b3o$2b3o6bo$10bobo2$8bo3b2o$7b
o5bo$8bobo$10b2o!
[[ GRID ]]
-f+f
Code: Select all
x = 11, y = 5, rule = B3/S23
2o7b2o$obo2bo2bobo$2b4o2bo$obo2bo2bobo$2o7b2o!
[[ GRID ]]
Code: Select all
x = 15, y = 5, rule = B3/S23
2o3b2ob2o3b2o$obobob2o2bobobo$2bob2o4bobo$obobob2o2bobobo$2o3b2ob2o3b
2o!
[[ GRID ]]
-f+e
Code: Select all
x = 6, y = 7, rule = B3/S23
2bo$2bobo$o$b5o$o$2bobo$2bo!
[[ GRID ]]
Code: Select all
x = 9, y = 6, rule = B3/S23
4bo$b2obob2o$o3bo3bo$obobobobo$bo2bo2bo$3bobo!
[[ GRID ]]
-e+e
Code: Select all
x = 7, y = 12, rule = B3/S23
3bo$2bobo$3bo2$b5o$o3bobo$o3bobo$b5o2$3bo$2bobo$3bo!
[[ GRID ]]
Code: Select all
x = 9, y = 12, rule = B3/S23
4bo$2b5o$bo5bo$o2b3o2bo$b2o3b2o$4b2o$4b2o$b2o3b2o$o2b3o2bo$bo5bo$2b5o$
4bo!
[[ GRID ]]
Code: Select all
x = 9, y = 10, rule = B3/S23
bo4bo$bob2o2b2o$ob3o$2bo3b2o$4b2o$4b2o$2bo3b2o$ob3o$bob2o2b2o$bo4bo!
[[ GRID ]]
-e+v
Code: Select all
x = 14, y = 10, rule = B3/S23
2b2o6b2o$2bobob2obobo$5b2o3bo$bo2b2o3b2obo$obobo2bobobobo$obobo2bobobo
bo$bo2b2o3b2obo$5b2o3bo$2bobob2obobo$2b2o6b2o!
[[ GRID ]]
/xf
Code: Select all
x = 9, y = 9, rule = B3/S23
2o$obo3b2o$4bo2bo$2bo$3b2obo$3b2o$b2o2bobo$b2o5bo$7b2o!
[[ GRID ]]
/xv
Code: Select all
x = 6, y = 6, rule = B3/S23
4b2o$3bobo2$bobo$o$2o!
[[ GRID ]]
.f+f
Code: Select all
x = 9, y = 9, rule = B3/S23
4bo$3bobo$2o2bo2b2o$o4b2obo$2b2ob2o$ob2o4bo$2o2bo2b2o$3bobo$4bo!
[[ GRID ]]
.fxf
Code: Select all
x = 5, y = 5, rule = B3/S23
3b2o$4bo$bobo$o$2o!
[[ GRID ]]
Code: Select all
x = 7, y = 7, rule = B3/S23
5b2o$6bo$3bobo2$bobo$o$2o!
[[ GRID ]]
Code: Select all
x = 7, y = 7, rule = B3/S23
2b2ob2o$bobob2o$o2bo$2o3b2o$3bo2bo$2obobo$2ob2o!
[[ GRID THEME Poison ]]
.frf
Code: Select all
x = 11, y = 11, rule = B3/S23
8bo$3o3bo2b2o$6bo$b2obo3bo2$2bobobobo2$2bo3bob2o$4bo$2o2bo3b3o$2bo!
[[ GRID ]]
.e+e
Code: Select all
x = 13, y = 12, rule = B3/S23
5bobo$3b3ob3o$2bo3bo3bo$2b2o2bob3o$2o2b3o4b2o$bo2b2o3bobo$bobo3b2o2bo$
2o4b3o2b2o$2b3obo2b2o$2bo3bo3bo$3b3ob3o$5bobo!
[[ GRID ]]
.v+v
Code: Select all
x = 10, y = 8, rule = B3/S23
2bo$2bo3b3o$o2bo$5bo2b2o$2o2bo$6bo2bo$b3o3bo$7bo!
[[ GRID ]]
.vxv
Code: Select all
x = 4, y = 4, rule = B3/S23
bo$2b2o$2o$2bo!
[[ GRID ]]
Code: Select all
x = 10, y = 8, rule = B3/S23
5b3o$2b2o$2bo3bob2o$3b2ob2o$2b2ob2o$2obo3bo$6b2o$2b3o!
[[ GRID ]]
.vrv
Code: Select all
x = 20, y = 20, rule = B3/S23
4b2o$3bobo$5bob3o7bo$2b2obo2b3o4bobo$5bo13bo$4bo9b6o$6bo5bo$7bo4bo3b2o
$7bo3bo6bo$2b2o5bo5bo$4bo5bo5b2o$bo6bo3bo$2b2o3bo4bo$7bo5bo$6o9bo$o13b
o$2bobo4b3o2bob2o$2bo7b3obo$14bobo$14b2o!
[[ GRID ]]
+f*f
Code: Select all
x = 3, y = 1, rule = B3/S23
3o!
[[ GRID ]]
+v*v
Code: Select all
x = 12, y = 12, rule = B3/S23
2ob2o2b2ob2o$2obo4bob2o$4bo2bo$3o6b3o$o4b2o4bo$3bo4bo$3bo4bo$o4b2o4bo$
3o6b3o$4bo2bo$2obo4bob2o$2ob2o2b2ob2o!
[[ GRID ]]
Code: Select all
x = 16, y = 16, rule = B3/S23
3b2o6b2o$3bobo4bobo2$2o3bob2obo3b2o$obobo6bobobo$5b2o2b2o$2bo10bo$4bo
6bo$4bo6bo$2bo10bo$5b2o2b2o$obobo6bobobo$2o3bob2obo3b2o2$3bobo4bobo$3b
2o6b2o!
[[ GRID ]]
xf*f
Code: Select all
x = 7, y = 7, rule = B3/S23
b2ob2o$ob2o2bo$2o4bo$bo3bo$o4b2o$o2b2obo$b2ob2o!
[[ GRID ]]
xv*v
Code: Select all
x = 14, y = 14, rule = B3/S23
4b2o2b2o$4bobo2bo$8bo$5bo$2o5bobo2b2o$o2bobo5bobo$bo7bo$4bo7bo$obo5bob
o2bo$2o2bobo5b2o$8bo$5bo$4bo2bobo$4b2o2b2o!
[[ GRID ]]
Code: Select all
x = 18, y = 18, rule = B3/S23
3bo10bo$2bobo8bobo$bo2bo8b2obo$o4b2ob2ob2o2bobo$b2o4b2o3bo2b2o$3bo2b2o
3bob2o$3bobo2b3obobo$4b2o3bobo$3b2obo3b2o2bo$3bo2b2o3bob2o$6bobo3b2o$
3bobob3o2bobo$3b2obo3b2o2bo$b2o2bo3b2o4b2o$obo2b2ob2ob2o4bo$bob2o8bo2b
o$2bobo8bobo$3bo10bo!
[[ GRID ]]
rf*f
Code: Select all
x = 13, y = 13, rule = B3/S23
6bo$5bobo$2b2o2bo2b2o$2bob2o4bo$4b3ob2o$bo6b2obo$obobo3bobobo$bob2o6bo
$3b2ob3o$2bo4b2obo$2b2o2bo2b2o$5bobo$6bo!
[[ GRID ]]
rv*v
Code: Select all
x = 8, y = 8, rule = B3/S23
4bo$2bobo$6bo$2o$6b2o$bo$3bobo$3bo!
[[ GRID ]]
Code: Select all
x = 6, y = 6, rule = B3/S23
2o2b2o$o2bobo$bo$4bo$obo2bo$2o2b2o!
[[ GRID ]]
Code: Select all
x = 12, y = 12, rule = B3/S23
5b2o$4bo2bo$3bobobo$9bo$b2o7bo$o8bobo$obo8bo$bo7b2o$2bo$4bobobo$4bo2bo
$5b2o!
[[ GRID ]]