Here is my current knownrotors file:
It does not include Extrementhusiast's small rotors collection (
[1],
[2]) which will need to be added by a script that I'm not currently inclined to write.
Here are two new billiard tables at p15 and one at p16 that are part of a previously known series:
Code: Select all
x = 119, y = 91, rule = B3/S23
43b2o3b2obo21b2o5bob2o19b2o5b2obo$44bo3bob2o22bo5b2obo20bo5bob2o$43bo
8b2o19bo4b2o23bo4b2o$43b2o7bo20b2o4bo23b2o3bo$53bo24bo30bo$43b2o7b2o
19b2o3b2o23b2o3b2o$44bo3b2obo22bo5bob2o20bo5b2obo$43bo4bob2o21bo6b2obo
19bo6bob2o$43b2o7b2o19b2o9b2o17b2o3b2o4b2o$52bo32bo22bo5bo$43b2o8bo19b
2o9bo18b2o4bo5bo$44bo7b2o20bo9b2o18bo3b2o4b2o$43bo4b2obo21bo6bob2o19bo
6b2obo$43b2o3bob2o21b2o5b2obo19b2o5bob2o12$77b2o$77bo$78bo4b2o22bo4b2o
$7bobo4bo7bobo25b2o23b4o3bo2bo19b5o2bo$50bobo21bo4b2o2bobo18bo5bobo$6b
o3bo3bo7bo3bo17b2ob2obobo21bob2obob2obo19bob2obo2bob2o$43bobobobobo20b
2obobobo2bo19b2obobobob2obo2bo$6bo3bo3bo7bo3bo16bobobobo21bobobobobobo
2bo16bobobobobobo2bob2o$40b2obobo3bo21bobobo3bobob2o16bobobo3bobo2bo$
6bo3bo3bo7bo3bo13b2obobobobobob2o15b2obobobobobo18b2obobobobobob2o$43b
obo3bob2obo18bobo3bobo21bobo3bobo$7bobo4bobobo3bobo18bob2o3bo22bob2o3b
o22bob2o3bo2b2o$44bo3b2o2b2o20bo3b2o24bo3b2o4bo$45b3o5bo21b3o27b3o4bo$
47bo3bo25bo29bo4b2o$51b2o15$111bo$81b2o25bobobo$79b3obo23bob2obo$o5bo
3bobobo3bo7bo46b2o3bo4b3o19b3o4b2obo$74bo3bobobo3bo17bo4b2o3b2o$obo3bo
3bo7bo7bo47bob2obobob3o18bob2obob2o$72b2obobobo3bo18b2obobobobob3o$o2b
o2bo3bobobo3bo3bo3bo44bobobobobobo19bobobobobo6bobo$71bobobo3bobo19bob
obo3bo2bob2ob2o$o3bobo3bo8bobobobo44b2obobobobobobo16b2obobobobobobobo
$73bobo3bob2obo18bobo3bobobobo$o5bo3bobobo5bo3bo48bob2o3bo3bo18bob2o3b
obobo$74bo3b2o2b2ob2o17bo3b2o2bo$75b3o5bobo19b3o4b2o$77bo5bobo21bo$84b
o6$78b2o$77bob3obo$75b3o4b2o2bo$74bo4b2o3b5o$74bob2obob3o5bo$72b2obobo
bo5b5o$71bobobobobobob2o$71bobobo3bobo3bo2b2o$70b2obobobobobob2obo2bo$
73bobo3bob2obob2o$73bob2o3bo5bo$74bo3b2o2b2o2bobo$75b3o5bo3b2o$77bo4bo
$82b2o!
I found the first new p15 in a simple
dr2 search. Here's the input file:
Code: Select all
c6
h4
w4
v127 1
s4950234
d0 5 5 75 75
D0 34 34 46 46
d1 38 38 42 42
r39 39
444
444!
skipstable
skipfizzle
I then wondered if there were any other oscillators in the series, so I ran the following dr search that found the other p15 and the p16:
Code: Select all
c8
h10
w10
s399250
d0 5 5 75 75
D0 44 43 49 49
D0 36 46 48 60
d1 44 43 49 49
r39 39
......
......
.,,,,,
.,,,,,,
....o.oo
..oo.o.o.o
.o.o.o.o.o.
.o.o.o.0.o.
oo.o.o.o.o.o
...o.o.0.o.o
...o.o10..o.
....o...oo..
.....ooo....
.......o....
............!
skipstable
skipfizzle
I ran other dr2 searches over the last few weeks. Here are the presumably new oscillators of periods 7 or greater:
Code: Select all
x = 214, y = 216, rule = B3/S23
61b2o$62bo$60bo$7bob2o26b2o21b2o97bo$7b2obo26bobob2o15b2o3b2ob2o25b2o
18b2o19b2o3bo18bobo19b2o2b2o19b2ob2o$11b2o18b2o2b2o2bobobo14bo2b2obobo
bo19b2o3bobo18bo19bo2b5o15bo2b3o18bo2bo19bobobobob2o$12bo18bo2bobobo2b
o2bo14b2o8bo18bobo4bo17bo17bo3b2o5bo11bo3b2o3bo15bo6bob2o14bobo3bob2o$
11bo21b2obobobobobo15bobob2o4bo15b2o2b5ob2o15b2o16b4o2bo2b2obo10b4o2bo
b2o2bo12b2o4b3obo12b2o2bo3bo$11b2o16b4o3bo5bobobo13bo4bo5bob2o12bobo4b
obo19b2o2bo8b2o3bobo2bobobo8b2o3bobo3bobobo13bo2bo15bo2bobo5b3o$9b2o
18bo3b3o7bobobo11b2ob2o6b2obo13bobobo4bo11b2ob5ob4o7bo2b2obo3b2o2bo8bo
2b2obo3b2o2b2o10b3o3bobo14b2o3b6o2bo$10bo19bo2bo11bo2bo12bo2bo5bo2bo
12b2o4b2o2bob2o8b2obo16b2obo8b2o9b2obo7bobo11bo3b2obo2bo17bo2bo4bo$9bo
21bobobo7b3o3bo11bob2o6b2ob2o11bob2obo3bobo13bo2bob2o12bobo4b2o14bobo
4bo2bo12b2o6b2o17b2obo2bob2o$9b2o21bobobo5bo3b4o10b2obo5bo4bo12bo2bobo
bobobo9b4obobo2bo12bobobo3bo14bobobo3b2o15b2obobo2b2o16bobo4bo$7b2o25b
obobobobob2o18bo4b2obobo13bobob2obobo10bo2bo3bobo12b2obob4o16bo2b4o17b
o2bob2obo17bo2b3obo$8bo25bo2bo2bobobo2bo17bo8b2o13bo5bo13bobobobob2o
15bo21b2o3bo18bobobo2bo16b2o5bo$7bo27bobobo2b2o2b2o18bobobob2o2bo18b2o
13b2ob2o21bo21b3o20bo3b2o23bo$7b2o27b2obobo25b2ob2o3b2o58b2o21bo51b2o$
40b2o31b2o$74bo$72bo$72b2o5$113bo21b2o5b2o22b2o$35b2o18b2o29bo25bobo
20bobo4bo24bo22b2o$35bo3b2o13bobo29b3o23bobo22b3o4bo21bo22bo2bo$32b2ob
obo2bo13bobob2ob2o26bo21b2ob2o20bo3bo2b2o17b2obob3o15b2obob2obo$32bobo
bob2o15bobobobobo20b5obo22bo3b2o16bobobobo3b2o14bobobo4bobo11bobobo4bo
$34bo3bo18bobobobo19bo6bo2bo15b3o2b3obo16bobobobob2o2bo12bo2bobo2b2ob
2o10bo2bobo2b2ob2o$29b2o3bobobo13b2o3bo5bob2o15bob4o2bobobo13bo3b2o19b
2o2bo3bo2bobo13b2obobo3bo13b2obobo3bobo$29bo2bo6b2obo9bo2bo5b2obobo13b
3o7bo2bo13bo2bo3bo19bobo6bo2b2o19b2o2b2o17b2o2bo$30b4o3bobob2o10b4o5bo
bo14bo4bob3obo15bob5obo19bobob2o3bobo14b4o5b2obo10b4o5b2o$39bo19bo2bob
o15b3o6bo16bo9b2o17bobo3b2o2bo14bo2b6o14bo2b6o$32b2o4b2o15b2o3b4o18bob
5o18b3o2b3obo3b2o15bo5b2o16b2o5bo15b2o5bo$32bo22bo26bo26bobo4bobo2bo
14bob5o20b5o18b5o$34bo22bo2b2o21b6o22bob2obob2o16bo5bo20bo22bo$33b2o
21b2o2b2o23bo2bo21b2obo2bo20b3o25bo22bo$115b2o22bo24b2o21b2o11$7b2obo
26b2o99b2o$7bob2o26b2o25bo18b2o3bo23b2o21b2o2bo17b2o20bo2bo17b2o3b2o$
5b2o4b2o49b3o17bo2bobobo17b2o4bo16b2o4bobo18bo2b2obo15b4o18bo4bo$5bo5b
o23b6o20bo20bobob2o2bo15bo2bo3bobo13bo2bo3bob2o18bobob2o13b2o22bob3o$
6bo5bo22bo5bo13bo2bo2b6o14b2obo4b2o2bo11bo2bo2b2obobo11bo2bo2b2obo2bob
o14b2obo15bo3b5o15b2obo$5b2o4b2o16bo2b2obob2obobo12b6o3bo2bo12bo3b4o3b
3o10bob2o4bo3bo10bob2o4bo2b2ob2o8bo2b2o4b4o12b4o5bo13bo$7b2obo18b4obob
obobobo18bo4b2o13b3o5b2o13bo2bobo2bo2b2ob2o7bo2bobo2bo3bo11b4ob4o4bo
15bo3bo2bo11b4o2bo$7bob2o23bobo3bob2o13b2obo22b2o2bo3bo13b2o2b2obobo2b
obo8b2o2b2obobobo19bo3b2o11b3obobobob2o9b2o9b2o$5b2o4b2o18b4o5bo12b2ob
o3bo3bo20bobob2o16b2o5b3o13b2o5b2o14b3obo17bo4bobobobo9bo3b3obobo2bo$
5bo5bo19bo3bo4bo12b2obo2bo4b3o17bo2bobo17bo2bob2o16bo2bob2o16bo3bo17bo
bo4bobobo9bob2o4bob2o$6bo5bo19b3o2b3o16bo10bo17bobobo18bob2o3b2o14bob
2o3b3o13bobo4bo12b2obob3o3bo11bobobo2bo$5b2o4b2o22b2o19bobo7b2o15bobob
2o20bo3b2obo15bo3b2o2bo12b2obobobobo12bobo4b3o14bobob2o$7b2obo23bo2bo
19b2o24b2o25b3o20b3o2bo18b2obobo12bo2b3obo16bobo$7bob2o24b2o75bo22bo2b
2o21bo12b2o4b2o18b2o7$110b2o3b2o22b2o$37bo19b2o2b2o19bo2bo8bo15b2o3bo
23b2o$36bobo17bo2bo2bo19b6o4b3o22bo15b2o$37bo18bob2obo26bo2bo16b6o2b4o
14bo2b6o$31b2o20b2obo4b4o19b2obobo2bo14bo6bo5bo13bobo6bo$30bobo2b5ob2o
10b2obo2b2o4bo14b2obobobob4o13bobobob2ob2o2bobo11b2ob2obob2obo$30bobob
o4bobo14bo5b3obo13b2obo3bobo16bobo6bobo2bo2bo8bo7bobobo$29b2obobob2o4b
o13bob3o3bobo16bo5bo2b3o10b2obobo2bo3b2obob2o8b2obobobo2bob2o$32bobo3b
5o14bo4bo3bob2o13bo4bo2bobobo12bobo2bo3bo2bo12bobo2bo3bo$29b2obo25b4o
2bobob2o14b3o2b3o3bo12bob3o6b2o12bo2b3obobo$30bo4bob4o20bob2obo20b2o3b
3o14bo3bo20b2o3b2ob2o$30bob4obo2bo19bo2bo2bo19bo2bo2bo17b4o22b2o$31bo
4bo2bo20b2o2b2o21b2o47bo$32b3o5b3o69b2o24bo$34b2o6bo69b2o23b2o13$7b2ob
o25b2ob2o$7bob2o25bo3bo$5b2o4b2o25b2o$5bo5bo22b4obobo$6bo5bo16b2o2bo3b
obob3o$5b2o4b2o16bo2bobobo7bo$7b2obo19b3obo3bobobobo$7bob2o25bobobob2o
$11b2o16bob5o3bobo$11bo17b2obo3b2o3bo$12bo21b2o2b3o$11b2o22bo2bo$7b2ob
o23bo$7bob2o23b2o14$2o5b2obo23b2o$bo5bob2o21bo2bo18bo10b2o$o4b2o4b2o
16bo2b2o4bo15b3o5bobobo$2o3bo5bo17b3o2b5o18bo2b3obo$6bo5bo20bo5b2o15bo
2bo5bo$2o3b2o4b2o18b2obobobo2bo13bob2ob3o3bo$bo3bo5bo18bobobo3bob2o13b
o2bobo3b3o$o5bo5bo17bobo3bobobo15b3obo6b2o$2o3b2o4b2o16b2obo3bobobo12b
3o2bobobob3o2bo$5bo5bo17bo2b2ob2ob2o13bo2bo3bob2o3b2o$2o4bo5bo17b2o5bo
18bo4bo3b2o$bo3b2o4b2o19b5o2b3o15b4o2b2obo$o6b2obo21bo4b2o2bo19b2o$2o
5bob2o24bo2bo20bo2bo$35b2o22b2o27$2o4b2obo$bo4bob2o30b2o$o9b2o28bo$2o
8bo26bo4bo$11bo20bobo2b5obo$2o8b2o18b3ob3o4bobo$bo4b2obo19bo7b3o2bo$o
5bob2o20b3ob3o3b2o$2o2b2o26bo5bo$4bo29bobo3b2o$2o3bo27b2ob4o2bo$bo2b2o
29bo5b2o$o5b2obo25bobo$2o4bob2o26b2o24$2o3b2o3b2o19b2o$bo3b2o3b2o18bo
2bo$o29b2obo$2o3b2o3b2o21b2o$5bobobobo18b2o8b2o$2o5bobo19bob6o4bo$bo4b
2obo19bo6bo2bobob2o$o9b2o18b3o6b2o2bo$2o9bo20bobobo6bo$10bo23bob7o$2o
8b2o20bob2o4bo$bo9bo19bobo3bo$o9bo20bo2bob2o$2o8b2o20b2o!
When assessing rotors with a gap, I only consider periods greater than or equal to 7 and a gap of 1. I use
Scorbie's rotorviewer rule and script to visually inspect each rotor, and I construct any that I don't immediately recognize. Most are simply combinations of distinct rotors, but there are some exceptional cases, such as the p12 in the collection above which relies on a disconnected p3 rotor.
wwei23 wrote: ↑January 17th, 2021, 6:10 pm
[New billiard tables]
Here are minimizations of the p7 and one p8 (the other p8 was already known):
Code: Select all
x = 41, y = 13, rule = B3/S23
6b2ob2o17bo$2b2obobobobo16b3o$3bobo3bobo19bo2b2o$3bobobobob2o17bo2bo2b
o$2obo2b2obobo18b2obobobo$bobo5bobo23bobo$o2b2o5bo17b5o2bobob2o$obo3bo
21bo2bo2bob2o2bo$b2ob2o23bobo6bo$4bo23b2obob5o$4bobo23bo$5b2o23bob4o$
31b2o2bo!
wwei47 wrote: ↑July 23rd, 2021, 10:29 am
Here's an old batch of billiard tables I believe I forgot to post.
The p14 is very nice! Here's a stator minimization:
Code: Select all
x = 17, y = 17, rule = B3/S23
10b2o$9bobo$9bo$7bob2o$7b2o3b2o2bo$10b2ob4o$5b5obo$4bo7b3o$2bo2bo3b3o
2bo$2b2obobo4bo$7b5o$4ob2o$o2b2o3b2o$6b2obo$7bo$5bobo$5b2o!
hotdogPi wrote: ↑July 31st, 2021, 4:24 pm
reduced form of one of my co-discovered ones
yujh wrote: ↑July 31st, 2021, 6:41 pm
reduced for bb or minpop
Nice! The minimal bounding box is actually slightly smaller (top represents minimal bounding box, bottom is minimal population):
Code: Select all
x = 25, y = 51, rule = B3/S23
8b2o$4b2o3bo$2o2bobo2bob2o$obobo2bobobo2bo$2bob2obobo3b2o$bo2bo2bob2o$
bo2bob2o$6bo$6bo$3bo2bo$3b3o$b2obo3bobo$o2b2o2b3obo$ob3o3bobo6bo$bo6b
3o4b3o$9bo4bo$9bo4b2o4b2o$20bo$8b3o7bobo$18b2o$6b2o$6bo8b2o$6bo3bo3bo
2bo$7b2obo3bobo2$8bobo3bob2o$7bo2bo3bo3bo$8b2o8bo$17b2o$5b2o$4bobo7b3o
$4bo$3b2o4b2o4bo$10bo4bo$7b3o4b3o6bo$7bo6bobo3b3obo$13bob3o2b2o2bo$14b
obo3bob2o$19b3o$18bo2bo$18bo$18bo$17b2obo2bo$14b2obo2bo2bo$15bobob2obo
$13bobobo2bobobo$13b2o2bo2bo2b2o$17b4o2$17b2o$17b2o!
I had forgotten about that p8 sparker. We need updated sparker stamp collections to make the construction of these oscillators easier. I tried to make an updated p7 sparker collection
here, but it's now somewhat out of date (it's at least missing Scorbie's pipsquirter, Extrementhusiast's T-nose, and a large p7 that produces several different sparks that I can't find right now).
hotdogPi wrote: ↑July 31st, 2021, 8:40 pm
Self-restoring with two sparks.
I find that these sorts of reactions are most interesting when they can multiply the period of the sparkers. Here is the p24 form supported by p6 and p8 sparkers:
Code: Select all
x = 20, y = 40, rule = B3/S23
11b2o$11bobo$13bo$9b4ob2o2b2o$9bo2bobobo2bo$7b2o2b2obob2o$6bo2b2o2b2ob
o$5bob2o2b2obobo$5bo3b2o4bo$6b3obob3o$8bo3bo2$10bo$10bo$16b2o$8b2o6b2o
$2b2o3bo2bo5b2o$2b2o4b2o7bo$16bobo$15b2obo$bob2o$bobo$2bo7b2o4b2o$2b2o
5bo2bo3b2o$2b2o6b2o$2b2o$9bo$9bo2$7bo3bo$5b3obob3o$4bo4b2o3bo$3bobob2o
2b2obo$3bob2o2b2o2bo$2b2obob2o2b2o$o2bobobo2bo$2o2b2ob4o$6bo$6bobo$7b
2o!
hotdogPi wrote: ↑August 1st, 2021, 8:42 pm
Here's a p14 that requires huge 754P7
I managed to reduce this substantially using custom supports for
Josh Ball's p7 domino sparker:
Code: Select all
x = 67, y = 67, rule = B3/S23
12b2o$12bo$14bo$10b5o$10bo$5b2ob2o3b2o$5b2obo4bobo$8bo6bo2b2o$5b4ob2o
3bobo2bo$5bo4bobo2bob2obo$3b2o3b2o2b2obobo2b2o$3bo4bo3b5ob2o$2obo5b3o
8bobo4bo$o2bob2o3b2o5b2obob3obobo$2b2obo5bo4bobobo4b2o2bo$6b6o3bo4bob
2o3bobo11bobo$11bo2bo3bobobob2obob2o9bob2o$8b3o2bo4bobobobobo4bo4b2o2b
o$7bobobob2ob2obo2bo3bob3o5bobobob2o$7bo3bo6b2o2bo3bobo9bobo2bo$8b3ob
6o4bo2b2o10b2o2bo$10bo11bo3b2o4b2o4b2ob2o$12b2ob8o2b3o2b6o2b2obo$13bob
o9b3ob8ob3o6b2ob2o$13bo2b2o7bob2o8b2o6bo2bobo$14bobo3bob3o3bo8bo6b3o4b
o$13b2o2b7o5b8o6bo3b4o$12bo2b2o4b4o5b6o7b3o$13bo4b2o4b2o6b2o8b7o$14b3o
bo4bo2bo14b2o3bo2bo$16bobo3b2o2b2o3b2o7bo2bo4b2o$17bo4b2o2b2o3bo2bo4b
2o2b2o$21b3o2b3o6bo3b2o2b2o$21b3o2b3o2bo3bo2b3o2b3o$22b2o2b2o3bo6b3o2b
3o$22b2o2b2o4bo2bo3b2o2b2o4bo$17b2o4bo2bo7b2o3b2o2b2o3bobo$17bo2bo3b2o
14bo2bo4bob3o$18b7o8b2o6b2o4b2o4bo$21b3o7b6o5b4o4b2o2bo$16b4o3bo6b8o5b
7o2b2o$15bo4b3o6bo8bo3b3obo3bobo$16bobo2bo6b2o8b2obo7b2o2bo$15b2ob2o6b
3ob8ob3o9bobo$25bob2o2b6o2b3o2b8ob2o$24b2ob2o4b2o4b2o3bo11bo$25bo2b2o
10b2o2bo4b6ob3o$23bo2bobo9bobo3bo2b2o6bo3bo$23b2obobobo5b3obo3bo2bob2o
b2obobobo$26bo2b2o4bo4bobobobobo4bo2b3o$23b2obo9b2obob2obobobo3bo2bo$
23bobo11bobo3b2obo4bo3b6o$37bo2b2o4bobobo4bo5bob2o$38bobob3obob2o5b2o
3b2obo2bo$39bo4bobo8b3o5bob2o$47b2ob5o3bo4bo$45b2o2bobob2o2b2o3b2o$46b
ob2obo2bobo4bo$46bo2bobo3b2ob4o$47b2o2bo6bo$51bobo4bob2o$52b2o3b2ob2o$
56bo$52b5o$52bo$54bo$53b2o!
The large diagonal supports can probably be reduced somewhat. While working on this, I noticed that
28P7.3 can support the domino sparker component, giving better clearance than previous supports:
Code: Select all
x = 22, y = 14, rule = B3/S23
10b2o$8b6o$7b8o$6bo8bo$5b2o8b2o$3b3ob8ob3o$2bob2o2b6o2b2obo$b2ob2o4b2o
4b2ob2o$2bo2b2o8b2o2bo$o2bobo10bobo2bo$2obobobo6bobobob2o$3bo2b2o6b2o
2bo$2obo14bob2o$obo16bobo!