x = 10, y = 8, rule = B3/S23
4bo$4bo$2bo3b4o$3ob2o$4o2bo$4bo$3bobo$4bob3o!
Are these sorts of period 3s common?
x = 10, y = 8, rule = B3/S23
4bo$4bo$2bo3b4o$3ob2o$4o2bo$4bo$3bobo$4bob3o!
Macbi wrote:Period 3 oscillator: ... Are these sorts of period 3s common?
mniemiec wrote:Macbi wrote:Period 3 oscillator: ... Are these sorts of period 3s common?
83bismuth38 discovered this one on March 5 of this year, and named it Runny Nose. Still-lifes and oscillators of low periods (e.g. 2 and 3) can often be formed by gluing together smaller pieces, so there tend to be a lot of them. This becomes more and more difficult as periods get larger. I'm not sure what you mean by "these sorts". If you mean "with high volatility" (e.g. lerge number of rotor cells compared to total cells), of the out of 782 period 3 oscillators up to 21 bits, only 36 have volatility of 1/2 or higher (i.e. less than 1 in 20).
Incidentally, Runny Nose has the highest volatility of all 21-bit P3 oscillators, and the 4th highest of all P3 oscillators up to 21 bits.
Macbi wrote:What I really meant was: Are period 3 oscillators of this size worth discovering and naming, or are there already billions of them?
Also is there some easy way to check if a pattern has already been discovered?
x = 12, y = 13, rule = B3/S23
o$3o$3bo$2b2o2$4b2o$4bo$5b3o$7bo$8b2o$9bo$9bobo$10b2o!
x = 8, y = 10, rule = B3/S23
2bo$b3o$bobo$bo4$7bo$7bo$7bo!
x = 3, y = 10, rule = B3/S23
bo$3o$obo$o6$3o!
x = 3, y = 21, rule = B3/S23
bo$bo$bo14$bo$bo$bo2$3o!
Kazyan wrote:Note that I didn't get all of the 21-bit p3s, just the ones that fit within the same 10x40 box in all phases. For example, this 12x13 isn't in the results: ...
x = 228, y = 30, rule = B3/S23
59b2o$58bobo$60bo155b3o$50b2o167bo$49bobo163bo7bo$21b3o27bo156b2o5b2o
7bo$20b5o16b2o164b3o3bo2bo7bo$bo2bo5b2o7b2ob3o15bobo164b3o3bobo2b2obo
2bo$o8b4o7b2o20bo164b2obo11b3o$o3bo3b2ob2o19b2o174b3o$4o5b2o20bobo175b
o$22b2o9bo$14bo$14b2o6bob2o190b3o$4b2o7bo2bo6b2o2bo187bo3bo$2b2ob2o9bo
10bo186b2o4bo$2bo2bo5b2o3bo5bo4bo188bo3b2o$2bo2bo4bo4bo6bo3bo183b2o6bo
b2o$3b2o6b4o194b3o6bob2o$11b3o8bo186b2obo6bo$21bo188b3o$21bo3bo185bo
13b2o$4b2o15b4o200b3o$3b2ob3o208bo7b3o$4b5o207b4o4bob2o$5b3o201bobo4bo
3bo3b3o$212bo4bo2bo4bo$212bo4b3o$209bo2bo$210b3o!
x = 5, y = 2, rule = B3/S23
5o$o3bo!
x = 7, y = 9, rule = B3/S23
2b4o$6bo$2bo2bo$3b2o2$b6o$ob5o$o$bo!
x = 9, y = 4, rule = B3/S23
2bo3bo$b2o3b2o$2o5b2o$b2o3b2o!
x = 6, y = 11, rule = B3/S23
o$o$o4bo$3bo$3bo$2bo$3bo$3bo$o4bo$o$o!
x = 14, y = 1, rule = B3/S23:T32,1
3ob6ob3o!
gameoflifemaniac wrote:Found a faster than c spaceship in a 1x32 torus. ,,,
mniemiec wrote:gameoflifemaniac wrote:Found a faster than c spaceship in a 1x32 torus. ,,,
How is this faster than c? (Especially since, by the very definition of c, any information transfer in any neighborhood is physically incapable of traveling faster than c).
Macbi wrote:mniemiec wrote:gameoflifemaniac wrote:Found a faster than c spaceship in a 1x32 torus. ,,,
How is this faster than c? (Especially since, by the very definition of c, any information transfer in any neighborhood is physically incapable of traveling faster than c).
It's a bit silly, I agree, but the sense in which it's true is that after m generations there is a copy of it translated by n cells, and n > m.
x = 11, y = 10, rule = B3/S23:T14,10
ob2o3bob2o$ob2o3bob2o$ob2o3bob2o$ob2o3bob2o$ob2o3bob2o$ob2o3bob2o$ob2o
3bob2o$ob2o3bob2o$ob2o3bob2o$ob2o3bob2o!
x = 5, y = 5, rule = B3/S23
o3bo$2bo$obo$b2o$o!
the reason it's runny nose is because I had a cold or something the day before. lol.Macbi wrote:mniemiec wrote:Macbi wrote:Period 3 oscillator: ... Are these sorts of period 3s common?
83bismuth38 discovered this one on March 5 of this year, and named it Runny Nose... Incidentally, Runny Nose has the highest volatility of all 21-bit P3 oscillators, and the 4th highest of all P3 oscillators up to 21 bits.
"Runny nose" That's a good name.
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
x = 35, y = 741, rule = B3/S23
32bo$32b2o$33b2o$32b2o$32bo19$31bo$31b2o$32b2o$31b2o$31bo19$30bo$30b2o
$31b2o$30b2o$30bo19$29bo$29b2o$30b2o$29b2o$29bo19$28bo$28b2o$29b2o$28b
2o$28bo19$27bo$27b2o$28b2o$27b2o$27bo19$26bo$26b2o$27b2o$26b2o$26bo19$
25bo$25b2o$26b2o$25b2o$25bo19$24bo$24b2o$25b2o$24b2o$24bo19$23bo$23b2o
$24b2o$23b2o$23bo19$22bo$22b2o$23b2o$22b2o$22bo19$21bo$21b2o$22b2o$21b
2o$21bo19$20bo$20b2o$21b2o$20b2o$20bo19$19bo$19b2o$20b2o$19b2o$19bo19$
18bo$18b2o$19b2o$18b2o$18bo19$17bo$17b2o$18b2o$17b2o$17bo19$16bo$16b2o
$17b2o$16b2o$16bo19$15bo$15b2o$16b2o$15b2o$15bo19$14bo$14b2o$15b2o$14b
2o$14bo19$13bo$13b2o$14b2o$13b2o$13bo19$12bo$12b2o$13b2o$12b2o$12bo19$
11bo$11b2o$12b2o$11b2o$11bo19$10bo$10b2o$11b2o$10b2o$10bo19$9bo$9b2o$
10b2o$9b2o$9bo19$8bo$8b2o$9b2o$8b2o$8bo19$7bo$7b2o$8b2o$7b2o$7bo19$6bo
$6b2o$7b2o$6b2o$6bo19$5bo$5b2o$6b2o$5b2o$5bo19$4bo$4b2o$5b2o$4b2o$4bo
19$3bo$3b2o$4b2o$3b2o$3bo19$2bo$2b2o$3b2o$2b2o$2bo19$bo$b2o$2b2o$b2o$b
o19$o$2o$b2o$2o$o!
x = 10, y = 12, rule = B3/S23
o$b2o$2o$6b2o$6bobo$7bo2$3b2o$3b2o$7b2o$7bobo$8bo!
x = 9, y = 10, rule = B3/S23
bo$2bo$3o2$5bob2o$b2o2b2obo$b2o2$b2o$b2o!
x = 3, y = 22, rule = B3/S23
obo$obo$3o3$bo$obo$obo$bo11$3o$obo$obo!
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
x = 133, y = 7, rule = B3/S23
2b3o12b2o10b5o9b6o10b3o8b6o10b4o8b7o8b4o10b5o$bo2b2o10b3o9b2o3b2o11b2o
10b4o8b2o13b2o11b2o3b2o7b2o3bo8b2o3b2o$2o3b2o10b2o13b3o10b2o10b2ob2o8b
6o8b2o16b2o8b3o2bo8b2o3b2o$2o3b2o10b2o11b4o10b4o8b2o2b2o13b2o7b6o11b2o
10b4o10b6o$2o3b2o10b2o10b4o14b2o7b7o12b2o7b2o3b2o9b2o10bo2b4o12b2o$b2o
2bo11b2o9b3o11b2o3b2o11b2o8b2o3b2o7b2o3b2o9b2o10bo4b2o11b2o$2b3o10b6o
7b7o8b5o12b2o9b5o9b5o10b2o11b5o9b4o!
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
x = 214, y = 273, rule = B3/S23
bo$2bo$3o10$12b2o$11bo2bo$11bobo$12bo$15b2o$14bo2bo$14bobo$15bo$18b2o$
17bo2bo$17bobo$18bo$21b2o$20bo2bo$20bobo$21bo$24b2o$23bo2bo$23bobo$24b
o$27b2o$26bo2bo$26bobo$27bo$30b2o$29bo2bo$29bobo$30bo$33b2o$32bo2bo$
32bobo$33bo$36b2o$35bo2bo$35bobo$36bo$39b2o$38bo2bo$38bobo$39bo$42b2o$
41bo2bo$41bobo$42bo$45b2o$44bo2bo$44bobo$45bo$48b2o$47bo2bo$47bobo$48b
o$51b2o$50bo2bo$50bobo$51bo$54b2o$53bo2bo$53bobo$54bo$57b2o$56bo2bo$
56bobo$57bo$60b2o$59bo2bo$59bobo$60bo$63b2o$62bo2bo$62bobo$63bo$66b2o$
65bo2bo$65bobo$66bo$69b2o$68bo2bo$68bobo$69bo$72b2o$71bo2bo$71bobo$72b
o$75b2o$74bo2bo$74bobo$75bo$78b2o$77bo2bo$77bobo$78bo$81b2o$80bo2bo$
80bobo$81bo$84b2o$83bo2bo$83bobo$84bo$87b2o$86bo2bo$86bobo$87bo$90b2o$
89bo2bo$89bobo$90bo$93b2o$92bo2bo$92bobo$93bo$96b2o$95bo2bo$95bobo$96b
o$99b2o$98bo2bo$98bobo$99bo$102b2o$101bo2bo$101bobo$102bo$105b2o$104bo
2bo$104bobo$105bo$108b2o$107bo2bo$107bobo$108bo$111b2o$110bo2bo$110bob
o$111bo$114b2o$113bo2bo$113bobo$114bo$117b2o$116bo2bo$116bobo$117bo$
120b2o$119bo2bo$119bobo$120bo$123b2o$122bo2bo$122bobo$123bo$126b2o$
125bo2bo$125bobo$126bo$129b2o$128bo2bo$128bobo$129bo$132b2o$131bo2bo$
131bobo$132bo$135b2o$134bo2bo$134bobo$135bo$138b2o$137bo2bo$137bobo$
138bo$141b2o$140bo2bo$140bobo$141bo$144b2o$143bo2bo$143bobo$144bo$147b
2o$146bo2bo$146bobo$147bo$150b2o$149bo2bo$149bobo$150bo$153b2o$152bo2b
o$152bobo$153bo$156b2o$155bo2bo$155bobo$156bo$159b2o$158bo2bo$158bobo$
159bo$162b2o$161bo2bo$161bobo$162bo$165b2o$164bo2bo$164bobo$165bo$168b
2o$167bo2bo$167bobo$168bo$171b2o$170bo2bo$170bobo$171bo$174b2o$173bo2b
o$173bobo$174bo$177b2o$176bo2bo$176bobo$177bo$180b2o$179bo2bo$179bobo$
180bo$183b2o$182bo2bo$182bobo$183bo$186b2o$185bo2bo$185bobo$186bo$189b
2o$188bo2bo$188bobo$189bo$192b2o$191bo2bo$191bobo$192bo$195b2o$194bo2b
o$194bobo$195bo$198b2o$197bo2bo$197bobo$198bo$201b2o$200bo2bo$200bobo$
201bo$204b2o6bo$203bo2bo4bobo$203bobobo3b2o$204bo2bo$205b2o!
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
x = 272, y = 97, rule = LifeHistory
33.2A$32.A.A$26.2A4.A$24.A2.A2.2A.4A$24.2A.A.A.A.A2.A83.A$27.A.ABABAB
83.3A$27.A.AB2AB83.A$28.AB.2B77.A6.2A$31.3B75.A.A3.4B$31.4B6.2A67.A.
5B$29.3B2AB6.A69.7B$29.3B2AB3.BA.A69.4B2A4B.B$27.10B.B2A70.4B2A3B.B2A
$26.13B72.11B2A$25.14B72.9B.2B$24.C14B67.2B2.10B$9.A13.C3B2.8B68.2A
13B$9.3A10.B3C5.6B68.2A7B3A3B$12.A8.4B4.9B68.2B.7BA3B$11.2A7.4B5.2A4.
4B70.6BA2B.B2A21.2A$11.5B3.4B7.A5.4B71.7B.BA.A20.A$13.3B2.4B5.3A7.4B
69.7B5.A21.3A2.2B$3.2A7.9B6.A10.4B67.8B5.2A22.A3B2A$3.A8.8B19.4B65.4B
2.4B30.2B2A2B6.2A$2A.A.B3.10B21.4B63.4B4.4B29.6B6.A61.A11.2A$A2.3AB.
2B2A7B22.4B61.4B6.4B22.2A3.7B3.BA.A60.A.A9.B2AB$.2A2.BA3B2A7B23.4B59.
4B8.4B22.A4.6B3.B2A53.A3.2A2.A.A9.3B$3.4A12B24.4B56.5B9.5B21.A.AB.10B
54.A.A2.A2.2A.2A9.B.B$3.A.2B3.7B.B2A23.4B55.4B11.5B21.2AB.10B7.2A45.A
.A3.A.A2.B8.5B$4.3AB2.7B.BA.A23.4B53.4B13.5B22.12B7.A47.A.4A2.AB2A6.
6B$7.A4.4B5.A24.4B51.4B15.5B21.14B2.BA.A49.A3.A.A.2A4.8B$2.5A5.4B5.2A
24.4B49.4B17.5B20.13BD3B2A32.2A15.A2.BA.A2.13B$2.A10.4B31.4B47.4B14.A
.A2.5B9.2A8.12BDBD3B34.A14.A.2BA.A5.13B$4.A9.4B31.4B45.4B10.2A2.A.2A
3.5B9.A9.11BDBD3B34.A.AB11.2A.2BA5.15B$3.2A10.4B31.4B43.4B11.A3.A7.5B
8.A.AB4.14BD4B35.2AB.2A12.3B4.15B$16.4B31.4B41.4B13.3A.3A5.5B8.2A22B.
B37.2B2AB12.2B.B.17B$17.4B31.4B39.4B16.A.A2.A5.5B7.B.21B2.B37.4B6.29B
$18.4B31.4B37.4B18.3B2AB5.5B8.20B41.6B3.16B2A13B$19.4B31.4B35.4B21.3B
7.5B7.20B42.6B2.16B2A14B$20.4B31.4B21.2A10.4B23.4B5.6B5.21B31.2A9.7B.
22B2C3B3.B2A$21.4B31.4B7.2A12.A9.4B13.2A7.10B.7B2.23B22.2A6.B2A2B6.
30B2C3B4.A2.A$22.4B31.4B5.B2AB9.A10.4B13.A2.A6.43B23.A7.4B5.2B2A16B2.
2B2.B3.3BC2B5.2A.A$23.4B31.4B5.3B4.2A2.A.4A5.4B13.A.A.A5.23BA21B22.A.
AB2.6B.6B2A13B14.6B7.A$24.4B31.4B3.B.B5.A3.A4.A4.4B13.A2.A.2A4.21B2AB
A20B23.2AB.11B2AB3A10B14.9B6.2A$25.4B31.4B.6B4.3A.ABA5.4B15.2A3.BA3.
11B2C9BAB2A3B.13B4.A22.18BA9B15.2A4.4B$26.4B31.3BC6B6.A.A.2A3.4B18.2A
B2A14B2C11BA4B2.12B3.A.A21.11BA3B2A12B15.A5.4B$27.4B22.2A7.B2C7BAB3.B
AB.B3.4B19.A2.B.31B2.9B.2B4.A2.A20.10BA2BAB2A12B12.3A7.4B$28.4B22.A8.
CBC5B2A2B2.11B21.4A29B4.11B3.3A3.A19.9B3A2B2A6B2.3B.B2A10.A10.4B$29.
4B21.A.AB6.7BA2BA2B.9B19.3A2.BA15B.14B.15BAB2.3A19.9B.2BA2BA7B6.BA.A
21.4B$30.4B10.A10.2AB.3B2.6B2A2B3A9B19.A3.3A3.11B4.9B.19B4A21.11B2.2B
2A5BCBC8.A22.4B$31.4B7.3A12.12B2ABA2BA10B20.A2.A4.2B.9B.32B.B2.A19.4B
3.B.BAB3.BA7B2CB7.2A22.4B$32.4B5.A15.12B2A3BA11B21.A.A3.12B.17B2D14B
2AB2A18.4B3.2A.A.A6.6BC3B31.4B$33.4B4.2A15.9BA18B22.A4.30B2D11B3.AB3.
2A15.4B5.ABA.3A4.6B.4B31.4B$26.2A6.9B14.10B3AB2A11B.B2A23.45B4.2A.A2.
A13.4B4.A4.A3.A5.B.B3.4B31.4B$27.A7.6B14.13B2A6B.6B2.BA.A22.45B5.A.A.
A13.4B5.4A.A2.2A4.3B5.4B31.4B$27.A.2A5.2BC3B3.B2.2B2.16B2A2B5.4B7.A
23.29B3.11B6.A2.A13.4B10.A9.B2AB5.4B31.4B$28.A2.A4.3B2C30B6.2B2AB6.2A
22.22B3.4B4.2B.7B7.2A13.4B9.A12.2A7.4B31.4B$29.2AB3.3B2C22B.7B9.2A31.
20B6.5B6.4B23.4B10.2A21.4B31.4B$30.14B2A16B2.6B34.2A6.19B8.4B8.3B21.
4B35.4B31.4B$31.13B2A16B3.6B34.A6.20B8.4B6.B2A3B18.4B37.4B31.4B$32.
29B6.4B34.A.AB2.22B8.4B6.A2.A.A16.4B39.4B31.4B$32.17B.B.2B12.B2A2B35.
2AB.22B2AB7.4B6.3A.3A13.4B41.4B31.4B$33.15B4.3B12.2A.B2A34.20B4.BABA
8.4B8.A3.A11.4B43.4B31.4B10.2A$33.15B5.A2B.2A11.BA.A34.4B2C11B8.BA9.
4B4.2A.A2.2A10.4B45.4B31.4B9.A$34.13B5.A.A2B.A14.A34.3BCBC12B7.B2A9.
4B3.A.A14.4B47.4B31.4B10.A$36.13B2.A.AB2.A15.2A35.2BC14B7.B11.4B18.4B
49.4B24.2A5.4B5.5A$35.8B4.2A.A.A3.A54.15B21.4B16.4B51.4B24.A5.4B4.A$
35.6B6.2ABA2.4A.A55.12B22.4B14.4B53.4B23.A.AB.7B2.B3A$35.5B8.B2.A.A3.
A.A54.10B.B2A21.4B12.4B55.4B23.2AB.7B3.2B.A$35.B.B9.2A.2A2.A2.A.A54.
10B.BA.A21.4B10.4B57.4B24.12B4A$36.3B9.A.A2.2A3.A53.2AB3.6B4.A22.4B8.
4B59.4B23.7B2A3BAB2.2A$35.B2AB9.A.A60.A.AB3.7B3.2A22.4B6.4B61.4B22.7B
2A2B.B3A2.A$36.2A11.A61.A6.6B29.4B4.4B63.4B21.10B3.B.A.2A$110.2A6.2B
2A2B30.4B2.4B65.4B19.8B8.A$120.2A3BA22.2A5.8B67.4B10.A6.9B7.2A$121.2B
2.3A21.A5.7B69.4B7.3A5.4B2.3B$128.A20.A.AB.7B71.4B5.A7.4B3.5B$127.2A
21.2AB.2BA6B70.4B4.2A5.4B7.2A$152.3BA7B.2B68.9B4.4B8.A$152.3B3A7B2A
68.6B5.3CB10.3A$152.13B2A68.8B2.3BC13.A$152.10B2.2B67.14BC$149.2B.4B
2A3B72.14B$148.2A6B2A3B72.13B$148.2AB.9B70.2AB.10B$149.B.10B69.A.AB3.
B2A3B$154.7B69.A6.B2A3B$155.5B.A67.2A6.4B$153.4B3.A.A75.3B$153.2A6.A
77.2B.BA$154.A83.B2ABA.A$151.3A83.BABABA.A$151.A83.A2.A.A.A.A.2A$235.
4A.2A2.A2.A$239.A4.2A$237.A.A$237.2A!
x = 38, y = 9, rule = B3/S23
9b2o$9b2o$bo$2bo$3o$28b2o$6bo9b2o6bo2bobo6b2o$5bobo8b2o4bobo2b2o7b2o$
5b2o16b2o!
x = 44, y = 29, rule = LifeHistory
4.A6.A$2.A.A4.A.A$3.2A5.2A14.A.A$26.2A$27.A2$18.A$19.2A8.A$18.2A9.A.A
7.A$29.2A8.A.A$39.2A$27.2D$15.2D9.D.D6.2D$15.2D9.2D7.2D5$41.3A$41.A$
42.A6$3A$2.A$.A!
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
x = 7, y = 7, rule = B3/S23
bobo$3b2o$2o2bobo$b2o$2o2bobo$5b2o$b6o!
x = 7, y = 7, rule = B3/S23
3obo$bo3bo$o2bo$2b3obo$b3o2bo$bo4bo$3b2obo!
x = 7, y = 7, rule = B3/S23
2o4bo$7o$4b2o$3obobo$b2o3bo$b2ob2o$3b2o!
x = 10, y = 10, rule = B3/S23
bo3b3o$5bo3bo$b3o4bo$o2b3o3bo$3bo3bobo$o2b3obobo$bo6bo$bobo2b2obo$o2b
2ob2obo$3b6o!
x = 10, y = 10, rule = B3/S23
b2ob2obobo$bo2b2ob2o$bob4o2bo$o2b5o$2o2bo3bo$bob5o$obo2b4o$4bo2bobo$bo
bo3bo$ob3o2bobo!
x = 15, y = 7, rule = B3/S23
7bo$6bobo$5bo2bo3b2o$4b4o3bo2bo$3bo8b2o2$3o!
x = 7, y = 7, rule = B3/S23
2o2b3o$o2bo2bo$b3ob2o$obobo$b2obobo$b3ob2o$4o2bo!
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
x = 32, y = 24, rule = B3/S23
28b2o$28bo$26bobo$26b2o12$30b2o$o28bobo$obo26b2o$3o$2bo3$17b2o$17b2o!
x = 5, y = 5, rule = B3/S23
2bo$bo$2bobo$2o$bob2o!
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
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