I've been looking through D8_1 on catagolue, and with a lot of periods you can't find anything because there's just a bunch of stator variants of one or two oscillators for each period. So, I engineered some rules to search for patterns in B3/S23-a5 that kill these for a specific period, and here they are:
p4 - B3/S23-a5-e kills most p4 billiards and isn't even that far from TTs.
p5 - B36n/S23-a5 kills the heart stator variants,
this hassler & variants,
this small p5,
this & D2x & D8_1 stator variants,
this & variants, and more.
p6 - B36k/S23-a5 kills most common p6s, this was difficult to find as there are several different common ones. Also works for p8, p9, and p12.
p7 - B35e/S23-a5 kills
this & variants,
this & variants, and more. Also works for p10, p11, and p14.
p8 - B36k/S23-a5, kills
all variants of this R stabilization,
the p8 with a p4 thumb, and a couple other common patterns.
p9 - B36k/S23-a5, kills
this & variants and
this & variants.
p10 - B35e/S23-a5 kills
this and variants, which is enough as that makes up 14 of the 20 most common p10s.
p11 - B35e/S23-a5 kills all known D8_1 p11s.
p12 - B36k/S23-a5 kills
this and variants, making up all but 1 of the 20 most common oscillators.
p13 - B38/S23-a5 kills
this and variants.
p14 - B35e/S23-a5 kills all the oscillators like
this, making it much easier to find patterns.
The higher periods don't need anything as there are less than 12 per rule.
In summary, can someone search these in D8_1?
B3/S23-a5-e for p4
B36n/S23-a5 for p5
B36k/S23-a5 for p6, p8, p9, and p12
B35e/S23-a5 for p7, p10, p11, and p14
B38/S23-a5 for p13
Anyway, I was going through ror_stdin, and found these two oscillators not in the collection:
Code:
Select all
x = 26, y = 16, rule = B3/S23-a5
6b2o8b2o5b2o$6bo8bo2bo4bo$3b2obo8bo2bo2bobo$3bobob2o5b2ob2obobob2o$2o
bo3bobo4bo2bo2bo3bo$bobo3bobo6bo2bob2o2bo$bob2ob2ob2o4b2ob2o3b2o$2o5b
obo6bobo2bobo$bobobobobo6bob4o2bo$bo3bobob2o3b2o6b2obo$2b2obobo7bobob
3o2bo$4bob2o7bo3bobobo$4bo11b2obo2bo$3b2o13bob2o$18bo$17b2o!
Also, this oscillator buried in D8_1 can reflect Ts:
Code:
Select all
x = 19, y = 25, rule = B3/S23-a5
16bo$16b2o$16bo4$5b3o3b3o$3bo2bo5bo2bo$5b3o3b3o$bo2bo3bobo3bo2bo$3bob
3o3b3obo$obobo9bobobo$3obo9bob3o$obobo9bobobo$3bo11bo2$3bo11bo$obobo9b
obobo$3obo9bob3o$obobo9bobobo$3bob3o3b3obo$bo2bo3bobo3bo2bo$5b3o3b3o$
3bo2bo5bo2bo$5b3o3b3o!