EDIT 2.75: this modification may be interesting (p34 oscillator, p16 oscillator, the knightship). See below for more details on how one could tweak the rules of this cellular automaton further.
The optional birth conditions for all of the shown objects are: {20, 60}, {26, 62, 74, 78}, {53, 71, 77, 79}, {80}.
And the optional survival conditions are: {26, 62, 74, 78}, {50, 70}, {80}.
To preserve the rotate4 symmetry, either include all conditions in a set, or exclude all conditions in a set.
Code:
Select all
x = 88, y = 88, rule = R1,C0,S2,5-7,10-11,13,15,18-21,23,29-31,33,37,39,45,47,54-55,57,60-61,63,69,B2,5-7,11,13,15,17-19,21,29,31,33,37,39,45,51,54-55,57,59,63,73,NW0101031B00031B0909
46b2o$46bobo$45bo$45b2o$47b2o13$46bo$48bo$45bobo$46bo$46bo14$36b2o$36b
2o12b3o$36bo14b2o$38bo10bo$bo2bo13bo$o3bo14bo$2obo13bo2b2o$2b2o15bo3$
68bo15b2o$66b2o2bo13bob2o$68bo14bo3bo$69bo13bo2bo$38bo10bo$35b2o14bo$
35b3o12b2o$50b2o14$41bo$41bo$40bobo$39bo$41bo13$39b2o$41b2o$42bo$39bob
o$40b2o!
islptng wrote: April 21st, 2025, 8:18 pm
[...] It's B3/S3 plus B2a in 4 directions.)
Looks like the description doesn't match the definition; some subcases of the survival rule S2a are used as well:
Code:
Select all
x = 18, y = 18, rule = R1,C0,S2,5-7,11,13,15,18-19,21,29,31,33,37,39,45,54-55,57,63,B2,5-7,11,13,15,18-19,21,29,31,33,37,39,45,54-55,57,63,NW0101031B00031B0909
b2o$b2o12b3o$bo14b2o$3bo10bo11$3bo10bo$2o14bo$3o12b2o$15b2o!
Weighted neighbourhood (weights given in decimal):
EDIT 1: here are optional birth/survival conditions (given as sets; to preserve rotate4 symmetry, for every line either include all listed conditions or exclude all listed conditions):
Code: Select all
optional birth conditions:
{11, 19, 33, 57}
{17, 51, 59, 73}
{20, 60}
{23, 47, 61, 69}
{25, 35, 65, 75}
{26, 62, 74, 78}
{40}
{50, 70}
{53, 71, 77, 79}
{80}
Code: Select all
optional survival conditions:
{10, 30}
{17, 51, 59, 73}
{20, 60}
{23, 47, 61, 69}
{25, 35, 65, 75}
{26, 62, 74, 78}
{41, 43, 49, 67}
{44, 52, 68, 76}
{50, 70}
{53, 71, 77, 79}
{80}