Thanks to PK22 for apgsearching!
The p642 gun is recognized as yl963, probably because the output has period nine and LCM(321,9) is 963.
Collection of patterns found by apgsearch (excluding p2s, trivial variants, and non-notable oscillators):
Code:
Select all
x = 135, y = 227, rule = B3-kqy4-akqrz5ceijq6c7e8/S2-i3-aenq4r5iknqr6aci7e8
bo5bo4bo$b2obob2o4bo4b2o$12b3obob2o$2bobobo7b2obob3o$4bo10b2o4bo$21bo
2$132b2o$5bo5b2o7bo41b3o7b3o4b2o7b4o7bo3bo27bo2bo$4b2o6bo7bo2b3o4b3o2b
3o5b3o2b3o6b3o18b3o7b4o6b7o4bobo3b2o3bobo9b2o$b4o4b2o6b3o43bob7obo3bo
2bo6bob2obo6b2ob2o5bo3bo4bo3bo5b3o$b4o5b2o4b2o6bob4obo4bob5obo4bob6ob
o18b3obo5bob2obo6bobobo5bobobob2obobobo7bo$2o8bo5bobo46bo5bo6bob3o4bo
b2obo6b2ob2o23bo2bo$o7bo6b2o9bo2bo8bo3bo8bo4bo22bo2bo4bob2obo5b7o21bo
bo$8b2o6bo50b3o9b3o6b4o7bo3bo22bobo$40bo12b2o24b2o7b4o35bo4$2b2o12bo10b
2ob2o$3bo11bobo11bo$bo12bo2bo7bobobobobo$b2o10bo3b3o5bo2bobo2bo$b2o9b
o7bo5b2obob2o$b2o4b2o4b3o3bo5bo2bobo2bo$3b3o2bo6bo2bo6bobobobobo$3b4o
8bobo11bo$16bo10b2ob2o5$29b3ob3o$43bo7bo9b3o$b2o13b3o11bo3bo6bobo7bob
o$o2bo14bo7bo11bo4bo7bo10bo$b2o13b3o7bobo3bo3bobo6b5o6bo$4bo8bob2o2b3o
4bo4bobo4bo5b3ob3o5bobo2bo$3bobo7bobo3bobo8bobobo8b2o5b2o4bo3b3o3bo$6b
o6b3o2b2obo4bo4bobo4bo5b3ob3o10bo2bobo$5bo2bo7b3o7bobo3bo3bobo6b5o16b
o$7bobo6bo9bo11bo4bo7bo8bo$7bobo6b3o11bo3bo6bobo7bobo$8bo34bo7bo7b3o$
29b3ob3o4$bo8bo$obo6bobo$obo2b2o2bobo$bo3b2o3bo2$2b2ob2ob2o$2b2ob2ob2o
2$bo3b2o3bo$obo2b2o2bobo$obo6bobo$bo8bo$20b3o9b3o$42bo$10bo10bo11bo6b
obo$8bobo24bobo4bo$10bo11bo12bo2b2o$7bo7bo5b3o3bo6bob2o$5b3o7bobo2b3o
2bobo8b2obo$4b3o8bo3b3o5bo6b2o2bo$4bo15bo10bo4bobo$bo29bobo6bo$bobo17b
o9bo$bo37b3o$20b3o2$bo8bo$bobo4bobo$bo8bo2$4bo2bo$4b4o$3bob2obo$3bob2o
bo$4b4o$4bo2bo2$bo8bo$bobo4bobo$bo8bo4$35b3o2$36bo3$16bo13bo6bo$3b3o9b
3o12bobo3bobo$2b2obo10bo7b2o4bo4bobobo$2b2o19bo2bo9bobo$3bo17bo2b2o11b
o8bo$3b3o15b2o21bobo$19b2obo23bo$20b2o$18bo$17bobo20bo$17bobo$18bo20b
3o5$4b3o5b3o2$5bo7bo$bo15bo$bobo11bobo$bo15bo$9bo$8b3o$7b2ob2o$8b3o$9b
o$bo15bo$bobo11bobo$bo15bo$5bo7bo2$4b3o5b3o5$6b3o3b3o2$7bo5bo3$bo17bo
$bobo13bobo$bo17bo$9b3o$9bobo$9b3o$bo17bo$bobo13bobo$bo17bo3$7bo5bo2$
6b3o3b3o6$8bobo$7b5o$7bobobo$9bo$4b2o7b2o$3b2o9b2o$4b3o5b3o$3b2o9b2o$
4b2o7b2o$9bo$7bobobo$7b5o$8bobo9$4bobo$4bobob3o$4b2ob2o$5bo3b2o$3b2o3b
o$5b2ob2o$3b3obobo$7bobo13$10bo$9bobo$8bobobo9bo$9bobo9bobo$10bo9bobo
bo$21bobo$22bo12$2bo9bo9bo$obo7b2ob2o7bobo$2bo7bobobo7bo$10bo3bo$11b3o
2$11b3o$10bo3bo$2bo7bobobo7bo$obo7b2ob2o7bobo$2bo9bo9bo!
Some cool patterns included are a p24 rotator, a set of p4 sparkers, examples of all oscillators up to period 8, a p14, a p34, a p40, and p24, p28, p32, p54, and p56 traffic light hasslers.
Out of the symmetries searched, the most fruitful (ones with periods unique to that symmetry) appear to be D4_+4, D8_1, C2_1, D4_+1, and C4_4, so further apgsearching should be mostly on these symmetries.
The c/5o also appeared semi-naturally, meaning we have 5 natural and
SIX semi-natural speeds.
Also,
ANOTHER SEMI-NATURAL GUN:
Code:
Select all
x = 34, y = 34, rule = B3-kqy4-akqrz5ceijq6c7e8/S2-i3-aenq4r5iknqr6aci7e8
15b3o$15bobo$14bobobo$14b5o$15bobo$15b3o9$30b2o$2b2o24b3ob2o$2ob3o22b
ob2obo$ob2obo22b3ob2o$2ob3o24b2o$2b2o9$16b3o$16bobo$15b5o$15bobobo$16b
obo$16b3o!