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Assuming finite patterns, the hierarchy of normal subgroups of spatial symmetries is:

• Every symmetry to itself

• Every symmetry to C1

• Every symmetry to index-2 sub-symmetry

• D8_1 to C2_1

• D8_4 to C2_4

Does this have any significance?

Wait, what is the "52P84" listed on Wiki?

A smaller P84 oscillator (pop. 218): x = 40, y = 38, rule = B3/S23 18bo$17b2o$16b2o$15bo$14bob4o$13bobo4bo$12b2obob2obo2b2o$11b2o2bob2obo b2o$15bo4bobo$16b4obo$20bo$18b2o$17b2o$17bo3$6b2o24b2o$6bobo22bobo$8bo 22bo$3bo2bob2o20b2obo2bo$3b4o9bobo2bobo9b4o$7b2o2b2o2bo2bo2bo2bo2b2o2b 2o$3b4o9bobo2bobo9b4...

On the wiki page of oscillators , the "smallest known" column has many question marks on high period oscillators. I'd like to fill them. By the glider loops, the upper bound of population of period (4n+2) oscillators is 208, and that of other periods is 228. P67 and P74 glider loops are shown as exa...

If every spaceship is edible, that means every gun implies corresponding oscillator.

I can't build ofind.c: ndos@ndos-desktop:~/Documents$ gcc -o ofind ofind.c ofind.c: In function ‘printApprox’: ofind.c:1147:26: warning: format ‘%d’ expects argument of type ‘int’, but argument 2 has type ‘long int’ [-Wformat=] if (n <= 9999) printf("%d",n); ~^ ~ %ld ofind.c:1154:27: warning: format...

Has anyone noticed a variant of 28P7.2 emerged?:
http://catagolue.appspot.com/object/xp7 ... zy31/b3s23