Larger than Life

[confocaloid]

Bugs (p11 orthogonal 14c/11, p9 orthogonal c/1, p2 orthogonal c/1, p38 oblique (35,7)c/38):

Code: Select all

x = 82, y = 70, rule = R6,C0,S37-61,B37-49,NC
6b5o$4b8o$3b10o61b5o$2b2o4b5o59b8o$2bo6b4o58b10o$2bo6b4o58bo4b5o$2b2o
4b5o57b2o5b5o$3b10o57bo7b4o$4b8o58b2o5b5o$6b5o60bo4b5o$71b10o$72b8o$
74b5o29$4b4o$2b8o$b10o$bo4b5o$2o5b4o$2o5b4o$bo4b5o$b10o$2b8o$4b4o11$
74b6o$73b8o$72b2o2b6o$72bo3b6o$72bo3b6o$72bo3b6o$72b9o$73b8o$74b5o!
#C [[ THEME MCell GRID ]]

[CARuler]

crossposting from discord

Code: Select all

x = 10, y = 9, rule = R2,C6,S7-8,12,14-16,B5-8
.BCBEC$.BA2CD$2A.2CEBDE$.2ABC3D2E$.2A2BC2DCD$.3A2BA2C$2.2A.BACB$4.3AB
A$6.2A!

Code: Select all

x = 14, y = 13, rule = R2,C6,S7-8,12,15,B5-8
4.2E$3.2D$.A3C.C$.BCB3D$4A2D2E.E$A.2B2D5E$.ABCBCB2EDE.E$.3ABCDAB2E$2.
ABA.2C4D2E$3.3A4BCD$5.4A2C$6.A.2AB$8.2A!

edit:

Code: Select all

x = 8, y = 10, rule = R2,C6,S7-8,12,14-16,B5-8,12-13,15-16
3.3ABC$3.2A3C$2.A3BAD$.A.ACA2D$.A4BDE$2A3BADE$2ABCDA2E$2A.2CDB$ABCBE
2CD$.B2C!

[confocaloid]

crossposting from discord [...]

Please provide some information about the posted patterns. What are those patterns? What are their basic properties? What else is known about them? Who, when, how discovered them?

Forum rule 4: "This is an academic forum, not a chat or microblogging platform. Please spend some time doing some research to familiarize yourself with what is and isn't already known about the Game of Life before posting your discoveries."

Forum rule 5b: "Readers of your post should have a rough idea of what to expect when they open your RLE in LifeViewer or copy it into another program. Outside of the Sandbox forum, at least briefly describe (or quote another post that describes) what pattern(s) you're posting. Descriptions also make it much easier to find patterns by searching the forums."

viewtopic.php?f=3&t=2092

[LWSSONHWSSONLWSS]

p884 beyblade

Code: Select all

 x = 35, y = 35, rule = R12,C10,S59-117,200-488,B89-114,155-170,400-488,NC
16.6A$14.11A$13.14A$12.8A2B6A$12.5A7B5A$11.5A10B4A$11.4A12B3A$10.4A5B
8C4A$10.4A4B10C4A$9.5A4B4C5D2C4A$9.6A3B3C8DC3A$9.6A3B3C9D4A$9.7A3B2C3D
3E4D3A$10.7A2B2C2D6E2D2AB$11.7ABC2D8E2D2B$12.7AB2D3E3F3ED2B$2.I11.6AD
2E6F3E2B$.2I11.6ADE8F2E3B$3I11.6AE9F2E3B$3I12.5AF6G3FE2BC$3I12.2IA10G
3FB2C$3I13.2I3H7G3F3C$3I14.2I5H4G3F3C$.I2H13.4I4H3G3F3C$.3H13.4I4H3G2F
3C$.4H13.4I3H3GF4C$2.4H12.4I3H3GF3D$2.4HG11.4I3H3G3D$3.3H2G9.5I2H3G4D
$4.2H3G7.5I3H2G4D$6.4G10I3HGE4D$7.5G6I3H6ED$8.4G6F9E$10.2G7F5E$12.8FE
!

[confocaloid]

It looks like these "beyblade" oscillators have another measurable property (in addition to the period): the number of "apparent turns" per cycle. Even though the oscillator takes 884 ticks to repeat, it makes 57 "apparent turns" during one 884-tick cycle. (I counted by running it in Golly and looking.)

However, the concept is going to break (due to loss of continuity) when someone discovers a beyblade oscillator that repeatedly "explodes and reincarnates".

p884 beyblade

Code: Select all

 x = 35, y = 35, rule = R12,C10,S59-117,200-488,B89-114,155-170,400-488,NC
16.6A$14.11A$13.14A$12.8A2B6A$12.5A7B5A$11.5A10B4A$11.4A12B3A$10.4A5B
8C4A$10.4A4B10C4A$9.5A4B4C5D2C4A$9.6A3B3C8DC3A$9.6A3B3C9D4A$9.7A3B2C3D
3E4D3A$10.7A2B2C2D6E2D2AB$11.7ABC2D8E2D2B$12.7AB2D3E3F3ED2B$2.I11.6AD
2E6F3E2B$.2I11.6ADE8F2E3B$3I11.6AE9F2E3B$3I12.5AF6G3FE2BC$3I12.2IA10G
3FB2C$3I13.2I3H7G3F3C$3I14.2I5H4G3F3C$.I2H13.4I4H3G3F3C$.3H13.4I4H3G2F
3C$.4H13.4I3H3GF4C$2.4H12.4I3H3GF3D$2.4HG11.4I3H3G3D$3.3H2G9.5I2H3G4D
$4.2H3G7.5I3H2G4D$6.4G10I3HGE4D$7.5G6I3H6ED$8.4G6F9E$10.2G7F5E$12.8FE
!

[...] Is there any examples of beyblade spaceships which it explodes and leave ashes that consist of only a reincarnation of itself? [...]

[LuveelVoom]

However, the concept is going to break (due to loss of continuity) when someone discovers a beyblade oscillator that repeatedly "explodes and reincarnates".

It need not break. Just create a new concept: turns per explosion.

[confocaloid]

However, the concept is going to break (due to loss of continuity) when someone discovers a beyblade oscillator that repeatedly "explodes and reincarnates".

It need not break. Just create a new concept: turns per explosion.

That would no longer be guaranteed to be a well-defined measurable property. For example, a beyblade might form, and make "approximately nineteen-and-a-half turns" before exploding. Note the "approximately", there doesn't seem to be a simple unique intuitive way to measure "incomplete turns" precisely.

Without any explosions, if it always "apparently turns" in a single direction, the number of "apparent turns" is always an integer number, and one can measure it precisely (with reasonable expectation of consensus). Once there are "explosions" and "reincarnations", reaching a consensus on counting "apparent turns" becomes less likely.

[R2INT]

p3468

Code: Select all

x = 29, y = 35, rule = R12,C10,S59-117,200-488,B89-114,116,155-170,400-488,NC
8.9A$5.14A$3.18A$2.6A3B6C5A$2.5A2B10C4AB$.5A2B5C7D3A2B$.5A2B4C9DA4B$5A
2B4C5D5ED4B$5A2B4C3D9E4B$4A3B4C3D10E4B$4A3B4C3D4E3F4E2BC$5A3B4C2D3E6F
2EB2C$6A3B3C2D2E3F3G3FE3C$.8A2B2CD2E2F5G3F3C$.11A2C2EF2G3H2G2F3C$.13A
E2FG5H2GF3C$.14AF8H2G2CD$2.13A10HGC2D$9.6A3H4I3HG3D$10.4AH7I3HG3D$15.
7I3H4D$18.4I4H3D$20.2I3H2DE$20.2I3H3E$20.2I2H4E$20.2I2H3E$19.3IH4E$19.
3I3FE$.I17.2I4F$.3I14.2I4F$.4I13.5F$.5I4H6.3G3F$3.3I6H9G$5.I6H7G$7.6H
3G!

p4214

Code: Select all

x = 32, y = 35, rule = R12,C10,S59-117,200-488,B89-114,118,155-170,400-488,NC
9.9A$8.13A$7.16A$6.6A6B6A$5.6A4B5C6A$5.5A3B9C5A$5.4A3B4C7D4A$4.5A2B4C
9D3AB$4.4A4B3C4D2E4D2A2B$4.4A4B3C3D6E2D3B$4.5A3B3C3D8ED3B$4.6A3B2C3D3E
2F4E3B$4.7A3BC2D3E5F3E3B$4.9A2BCD2E7F2E2BC$4.11ACD2E8FEB2C$5.11ADE3F4G
3F3C$7.10AE2F6G3F2C$11.6AF8G3F3C$12.5A3G4H3G2F3C$12.4AG8H2GF3C$14.I10H
2GF2CD$16.3I6H2GF3D$17.4I4H2G3D$18.4I3H2G3D$19.3I3HG4D$.I17.3I3HG3D$.
2I16.3I3H4D$4I15.2I3H4E$5I13.3I3H4E$.4I2H10.3I3H4E$2.2I4H8.4IH5E$4.5H
2G4.3I4F3E$6.4H5G9F$8.2H6G6F$10.7GF!

p4604

Code: Select all

x = 30, y = 35, rule = R12,C10,S59-117,200-488,B89-114,122,155-170,400-488,NC
7.11A$5.16A$4.18A$3.5A3B6C7A$2.4A4B7C2D5AB$.5A3B4C9D2A2B$.5A2B4C11D4B
$.4A3B3C6D5E2D3B$.4A3B3C5D8E4B$.3A4B4C3D10E3B$4A5B3C3D3E5F3E2BC$5A5B3C
2D3E7FEB2C$.5A5B2C2D2E9FB3C$.7A5BCD2E2F5G3F3C$.13ADE2F7G2F3C$.14AEF9G
F3C$2.14AF4GH4GF3C$2.14A2G6H3G2CD$3.12AG8H3GC2D$11.3A10H3G3D$12.8I5H2G
3D$15.6I4HG4D$16.6I3HG3D$18.4I3HG3D$19.3I3H4E$18.4I3H3E$18.4I2H4E$18.
3I2H4E$.I12.H2.4IH4E$.3I8.F4.3IH2F2E$.4IH4.2G4.3I5F$.5I4HG3.2I7F$3.3I
5H6G4F$5.I5H7G2F$11.H3G!

[confocaloid]

HROT rules in circular neighborhoods are underrated, especially with higher ranges. [...]

[...] Did anyone investigate neighbourhoods that are approximations of circles on the hexagonal tiling? What is known about these?

Code: Select all

#C Approximations of circles with radii 7 and 49, on the hexagonal tiling: [...]

Here is a p669 "beyblade" oscillator on the hexagonal tiling:

Code: Select all

x = 42, y = 42, rule = R15,C10,S74-146,B111-148,N@018000001FF00000FFFC0001FFFC0007FFFE000FFFFE001FFFFE007FFFFF00FFFFFF00FFFFFE01FFFFFE03FFFFFE07FFFFFE07FFFFFC0FFFFFFC1FFFFFF83FFFFFF03FFFFFE07FFFFFE07FFFFFC07FFFFF807FFFFF00FFFFFF00FFFFFE007FFFF8007FFFF0007FFFE0003FFF80003FFF00000FF800000180H
8.3A2B$6.6A5B$4.9A7B$2.12A6B2C$2.8A7D4B3C$.6A2C6D5EB4C$.5A3C5D8E5C$.
4A4C4D7E3FE4C$5A4C4D5E7F3CD$4AB4C4D4E9F3C2D$4AB4C4D4E4F2G5FC3D$4A2B3C
5D3E3F8GF4D$4A2B3C6D3E3F8GF4D$.3A3B3C6D3E2F10G4D$.4A2B4C6D2E2F4G3H4G
3D$.4A3B5C5D2E2F3G5H3G2DE$2.4A2B7C4D2EF3G6H3G3E$2.4A3B8C3D2EF2G8HGD2E
$3.4A4B7C3ADE2G3H3I3HG3E$3.5A9B6A2G2H5I3HG3E$4.5A7B8AGH7I3H3E$5.5A5B
9AGH8I3H3E$6.5A2B12A2I6.2I2H3E$7.18AI8.2I2HE2F$8.16A10.3IH3F$10.11A
14.3I3F$11.10A15.2I3F$12.8A17.I4F$14.6A17.2I3F$17.2A18.2I3F$38.F3G$
38.4G$38.4G$38.4G$38.4G$37.3H2G$36.5H$35.6H$33.3I4H$30.7I2H$31.7I$32.
4I!

The neighbourhood is the following:

Code: Select all

#C [[ ZOOM 10 GRID STARTFROM 1 ]]
x = 1, y = 1, rule = R15,C0,S,B1,N@018000001FF00000FFFC0001FFFC0007FFFE000FFFFE001FFFFE007FFFFF00FFFFFF00FFFFFE01FFFFFE03FFFFFE07FFFFFE07FFFFFC0FFFFFFC1FFFFFF83FFFFFF03FFFFFE07FFFFFE07FFFFFC07FFFFF807FFFFF00FFFFFF00FFFFFE007FFFF8007FFFF0007FFFE0003FFF80003FFF00000FF800000180H
o!

[muzik]

Since this family of oscillators can exist in the NC neighbourhood, can they also exist in the N2 neighbourhood, since it's also a circular approximation?

There also must be a way to generalize circular neighbourhoods to the triangular grid just as it can be done to the hexagonal grid. I'd be interested to see such an oscillator operating on this grid.

Code: Select all

x = 22, y = 13, rule = B/S0123LE
9b5o$6b11o$3b17o$2b19o$b21o$b21o$b10ob10o$b21o$b21o$b21o$2b19o$5b13o$
8b7o!
[[ ZOOM 8 GRID THEME Inverse ]]

[b-engine]

(6,2)c/1727 camelship:

Code: Select all

x = 32, y = 35, rule = R12,C10,S61-119,B90-120,NC
12.7A$9.13A$8.15A$8.6A4B7A$7.6A4B4C5A$6.5A3B9C4A$6.5A2B11C4A$6.4A2B5C
7DC3AB$5.5A3B3C10D2AB$5.5A3B3C10DA3B$5.6A2B3C4D4E3D3B$5.7A2B2C3D7E2D3B
$5.8AB2C2D9ED3B$5.10A2CD4E3F3E4B$6.10ACD2E6F3E2BC$8.9A2E4FG3F2EB2C$11.
6A2EF5G3FE3C$11.6AEF7G2FE3C$12.5A9G2FE2C$12.3AG8H2G2F3C$14.3I7H3GF3C$
16.4I4H3GF3C$18.4I2H3GC3D$19.3I2H3G4D$20.2I2H3G3D$.I18.2I2H2G4D$3I16.
2I3HG4D$4I15.2I2HG3ED$.4I13.2I3H5E$2.3I2H10.3IH5E$3.2I4H7.2IH2F4E$4.I
5H4G8F2E$6.4H6G7F$9.2H6G2F$13.G!

[LWSSONHWSSONLWSS]

p780:

Code: Select all

x = 28, y = 28, rule = R11,C10,S56-118,B87-118,NC
18.A$15.9A$13.12A$12.14A$12.14A$12.6A3B6A$12.5A2B2C2B5A$12.5AB5CB4A$13.
3AB7CB3A$11.5A3C4D2C3A$10.6AC7DC3A$10.6A3D3E2DC3A$10.5ACD6E2D3A$10.5A
E6FE2D3A$12.2A5G3F2ED3A$13.2I2H4GF2ED3A$13.3I3H2G2FE2A2B$.I12.3I3HG2F
E3B$.I13.3I2H2GF4B$.I13.3I2HG2F3B$3I12.3I2HGF4C$3IH11.2I2H2G4C$.2I2HG
8.2I2H2G4C$2.I3H2G4.3I3H5D$3.3H3G3F2IH2E5D$4.2H4G4F7E$7.3G5F4E$11.5F!

EDIT: could you find bugs in any R5,C1,NC rule?
Here's a good model for you

Code: Select all

x = 15, y = 20, rule = R5,C2,S30-55,B32-45,NC
6b7o$4b9o$2b11o$2b10o$b10o$b9o$9o$8o$6obo$5o2b2o$5o3bo$5o3bo$b5o2b2o$
b12o$b13o$2b13o$2b13o$3b11o$5b8o$7b4o!

[confocaloid]

[....] could you find bugs in any R5,C1,NC [...]

p6 oblique (3,2)c/6 bug

Code: Select all

x = 8, y = 9, rule = R5,C0,S27-46,B28-35,NC
3bo$b5o$7o$8o$4ob3o$3o4bo$3o4bo$b2o3bo$2b4o!

p4 orthogonal c/4 bug

Code: Select all

x = 9, y = 9, rule = R5,C0,S27-45,B27-35,NC
3b4o$b7o$2ob6o$o4b4o$o4b4o$o4b4o$2ob6o$b7o$3b4o!

[LWSSONHWSSONLWSS]

R4,C2,NC 2c/2 bug

Code: Select all

x = 13, y = 9, rule = R4,C2,S25-41,B22-35,NC
4b5o$2b9o$b11o$13o$b4o3b4o$4o5b4o$b3o5b3o$2b9o$5b3o!

[CARuler]

p4 orthogonal c/4 bug

Code: Select all

x = 9, y = 9, rule = R5,C0,S27-45,B27-35,NC
3b4o$b7o$2ob6o$o4b4o$o4b4o$o4b4o$2ob6o$b7o$3b4o!

(3,2)c/6

Code: Select all

x = 10, y = 9, rule = R5,C2,S27-45,B27-35,NC
2b5o$7o$8o$3o3b3o$3o4b2o$3o5bo$4o3bo$b7o$2b4o!

[LWSSONHWSSONLWSS]

p20

Code: Select all

x = 121, y = 121, rule = R12,C10,S59-117,200-488,B89-114,155-170,400-488,NC
20.85A$17.92A$16.7AE63.H.3FH7.2C9A$13.6A84.2HC6A$11.5A6.2D.D2B2C2EB3E
F2H2C5E3D3IH5G3.5I8A8FDF3D4E5C5B6.H6A$10.4A6.ABCH65.7H3.AD2CGB4.HC4A$
9.3AE3.IAGE82.2HD2CB3.D4A$8.3A4.AH7.66A15.EADC3.H3A$7.3A4.A93.H.C3.3A
$6.3A3.2H95.HDC3.3A$5.3A3.IE98.DC2.D2A$4.3A3.IE5.88A7.DC2.3A$4.2AE2.H
E4.91A7.I2.D2A$3.3A3.H5.92A6.EC2.3A$3.2A3.A5.94A6.D2.3A$3.2A2.A4.97A5.
E3.3A$2.2A2.IH4.98A5.C2.3A$.3A2.A4.100A4.D2.3A$.3A2.G4.100A4.G2.D2A$.
2A3.E4.100A4.HC.D2A$3A2.A5.100A5.C2.2A$3A2.B5.100A5.D2.2A$3A.DC5.100A
5.H2.2A$2AE.DH5.100A5.I2.2A$2A5.A3.100A5.B2.2A$2A2.D2.A3.100A5.B2.2A$
2A2.B2.A3.100A5.C2.2A$2A2.B2.A3.100A5.C2.2A$2A2.C2.A3.100A5.D2.2A$2A2.
C2.A3.100A5.E2.2A$2A2.E2.A3.100A5.E2.2A$2A2.E2.A3.100A5.C2.2A$2A2.B2.
A3.100A5.F2.2A$2A2.E2.A3.100A5.F2.2A$2A2.E2.A3.100A5.F2.2A$2A2.E2.A3.
100A5.G2.2A$2A2.F2.A3.100A5.G2.2A$2A2.H2.A3.100A5.G2.2A$2A2.H2.A3.100A
5.G2.2A$2A2.C2.A3.100A5.G2.2A$2A2.C2.A3.100A5.G2.2A$2A2.E2.A3.100A5.G
2.2A$2A2.E2.A3.100A5.G2.2A$2A2.E2.A3.100A5.G2.2A$2A2.E2.A3.100A5.H2.2A
$2A2.E2.A3.100A5.H2.2A$2A2.D2.A3.100A5.H2.2A$2A2.D2.A3.100A5.H2.2A$2A
2.D2.A3.100A5.G2.2A$2A2.I2.A3.100A5.G2.2A$2A2.I2.A3.100A4.BF.H2A$2A2.
I2.A3.100A4.ED.E2A$2A2.H2.A3.100A4.FD.E2A$2A2.G2.A3.100A4.G2.2A$2A2.G
2.A3.100A3.BD2.2A$2A2.G2.A3.99A4.ED.E2A$2A2.G2.A3.99A3.HD2.E2A$2A2.G2.
A3.97A5.ED2.3A$2A5.A3.96A5.B2D.E2A$2A5.A3.95A6.EC.H3A$2A5.A3.93A7.ED2.
E2A$2A2.I2.A3.50A49.ED2.E3A$2A2.I2.A3.50A48.ED2.B3A$2A2.I2.A3.50A45.H
BAD2.E3A$2A2.I2.A3.50A44.BC2D2.B3A$2A2.I2.A3.50A38.HF.2B2D3.HE4A$2A2.
A2.A3.50A11.F5H7D7E3B3E5D5.E4A$2A2.A2.A3.50A9.AG33.BE5A$2A2.A2.A3.50A
8.IG29.B2E7A$2A2.A2.A3.50A7.IG2.35A$2A2.A2.A3.50A6.AG2.33A$2A2.A2.A3.
50A6.G2.3A$2A2.A2.A3.50A5.F2.3A$2A2.A2.A3.50A5.H2.2A$2A2.F2.A3.50A5.H
2.2A$2A2.F2.A3.50A5.H2.2A$2A2.F2.A3.50A5.H2.2A$2A2.F2.A3.50A5.H2.2A$2A
2.F2.A3.50A5.D2.2A$2A2.F2.A3.50A5.D2.2A$2A2.F2.A3.50A5.D2.2A$2A2.F2.A
3.50A5.D2.2A$2A2.D2.A3.50A5.D2.2A$2A2.F2.A3.50A5.D2.2A$2A2.D2.A3.50A5.
D2.2A$2A2.D2.A3.50A5.E2.2A$2A2.D2.A3.50A5.E2.2A$2AH.E2.A3.50A5.E2.2A$
2A2.E2.A3.50A5.E2.2A$2AF.EH.A3.50A5.E2.2A$2AF.EH5.50A5.E2.2A$2AF.CH5.
50A5.E2.2A$2AH.CH5.50A5.B2.2A$2A2.CH5.50A5.B2.2A$2A2.CH5.50A5.B2.2A$2A
2.CH5.50A5.E2.2A$2A2.B6.50A5.E2.2A$2A2.B6.50A5.E2.2A$2A2.B6.50A5.D2.2A
$2A2.BA5.50A4.HD2.2A$2AC.BD5.50A4.FD.B2A$2AC2.C5.50A5.D.E2A$3A2.CH4.50A
4.BD.E2A$3AH.GH4.50A4.B2.3A$3AH.BD4.49A5.D2.2A$.2AC2.CE4.48A4.BD.B2A$
.3A2.CA5.46A4.HC2.E2A$.3AH.BD6.44A5.BD2.2A$.4A2.CH6.42A6.AD.E2A$2.3AH
3.H6.41A5.ED.H3A$2.3AC2.CD7.38A6.ED2.E2A$3.3AD2.CD49.ED2.B3A$4.3AH2.C
D46.BED2.E3A$4.4A3.CIE42.HEDC2.B3A$5.4A4.CDE38.BE3D2.E4A$6.4AD5.CDGH30.
BEFG2D3.HE3A$8.4AD6.2CDHI2B2CD2EC3F9G4H2GF2D5.E4A$9.6A40.2E5A$11.7A2D
30.H2E7A$13.45A$15.38A!

EDIT: Found a c bug in a rule I called "CheckerBugs"
Should we coin the name?

Code: Select all

x = 12, y = 13, rule = R5,C2,S16-30,B16-24,NB
6bobo$5bobo$2bobobobo$bobobo3bo$2bobo5bo$bobo7bo$obo7bo$bobo7bo$2bobo
5bo$3bobo3bo$4bobobobo$5bobobo$6bobo!

EDIT2: Can you find any small beyblades in some rules? (Beyblades in R2-6 rules)

[b-engine]

Makes two almost-spaceships after collision:

Code: Select all

x = 86, y = 37, rule = R12,C10,S59-117,200-488,B89-114,155-170,400-488,NC
13.6A$10.11A$8.14A41.8FE$7.6A2B8A38.2G7F5E$6.5A7B5A36.4G6F9E$5.4A10B5A
34.5G6I3H6ED$5.3A12B4A33.4G10I3HGE4D$4.4A8C5B4A30.2H3G7.5I3H2G4D$3.4A
10C4B4A29.3H2G9.5I2H3G4D$2.4A2C5D4C4B5A27.4HG11.4I3H3G3D$2.3AC8D3C3B6A
27.4H12.4I3H3GF3D$.4A9D3C3B6A26.4H13.4I3H3GF4C$.3A4D3E3D2C3B7A26.3H13.
4I4H3G2F3C$.B2A2D6E2D2C2B7A27.I2H13.4I4H3G3F3C$.2B2D8E2DCB7A27.3I14.2I
5H4G3F3C$.2BD3E3F3E2DB7A28.3I13.2I3H7G3F3C$.2B3E6F2ED6A11.I18.3I12.2I
A10G3FB2C$3B2E8FED6A11.2I17.3I12.5AF6G3FE2BC$3B2E9FE6A11.3I16.3I11.6A
E9F2E3B$.C2BE3F6GF5A12.3I17.2I11.6ADE8F2E3B$.2CB3F10GA2I12.3I18.I11.6A
D2E6F3E2B$.3C3F7G3H2I13.3I28.7AB2D3E3F3ED2B$.3C3F4G5H2I14.3I27.7ABC2D
8E2D2B$.3C3F3G4H4I13.2HI27.7A2B2C2D6E2D2AB$2.3C2F3G4H4I13.3H26.7A3B2C
3D3E4D3A$2.4CF3G3H4I13.4H26.6A3B3C9D4A$3.3DF3G3H4I12.4H27.6A3B3C8DC3A
$4.3D3G3H4I11.G4H27.5A4B4C5D2C4A$4.4D3G2H5I9.2G3H29.4A4B10C4A$5.4D2G3H
5I7.3G2H30.4A5B8C4A$6.4DEG3H10I4G33.4A12B3A$7.D6E3H6I5G34.5A10B4A$8.9E
6F4G36.5A7B5A$11.5E7F2G38.8A2B6A$14.E8F41.14A$65.11A$67.6A!

[tommyaweosme]

p4 orthogonal c/4 bug

Code: Select all

x = 9, y = 9, rule = R5,C0,S27-45,B27-35,NC
3b4o$b7o$2ob6o$o4b4o$o4b4o$o4b4o$2ob6o$b7o$3b4o!

an interesting methuselah featuring plenty of almost-spaceships, caused by crashing two bugs into eachother.

Code: Select all

x = 32, y = 12, rule = R5,C2,S27-45,B27-35,NC
3b4o$b7o$2ob6o$o4b4o16b4o$o4b4o15b7o$o4b4o14b6ob2o$2ob6o14b4o4bo$b7o15b
4o4bo$3b4o16b4o4bo$23b6ob2o$24b7o$25b4o!

[breaker's glider gun]

Are guns and high-period oscillators constructible in Pigs, or must dense cores only exist starting from T=0?

Code: Select all

x = 16, y = 16, rule = R2,C0,M1,S10..19,B4..4,NM
obooooboboobbbbo$
bbbbobboooobboob$
boobooobooooobbo$
bobbooobbobbbboo$
bbbboobbobbbooob$
boooboooobooobbo$
bbobboobboboobbb$
booobbbbbbbooooo$
boobbooboooobooo$
bobbbbobooooobob$
obooboooboobobob$
bbobooobobboooob$
bbobbooooboboobo$
boboboooboooooob$
ooobbbooobboooob$
bobooboobbooobbo!

IDK about ship synthesese, but I got an occurrence:

Code: Select all

x = 10, y = 7, rule = R2,C2,M1,S10..19,B4..4,NM
3b2o$3b2o2$o7b2o$8b2o$3b2o$3b2o!

[LWSSONHWSSONLWSS]

c/2 bug in "CircleBugs R3"

Code: Select all

x = 6, y = 5, rule = R3,C2,S8-12,B9-12,NC
b4o$o3b2o$o3b2o$o3b2o$b4o!

[confocaloid]

c/2 bug in "CircleBugs R3"

Code: Select all

x = 6, y = 5, rule = R3,C2,S8-12,B9-12,NC
b4o$o3b2o$o3b2o$o3b2o$b4o!

Added three out of four standard spaceships:

Code: Select all

x = 52, y = 21, rule = R3,C0,S25,92,128,155,160-174,176-230,232-266,268-300,337,356,430,455,530-555,564,578,583,587,625,677-682,701,726,801-803,805-810,876,905-911,945,955-960,1002,1016,1036,1097,1127,1167,1300,1332,1351,1360,1389,1406,1591,1620,1623,1673,1822,1881,1887,1901,1974,2070,2080,2105,2163,2209,2226,2385,2473,2484,2488,2576,2595,2621,2684,2818,2968,2995,3035,3047,3051,3124,3129,3184,3261,3309,3323,3373,3429,3462,3520,3571,3603,B15-19,35-36,38-39,55-59,75-79,140-144,160-164,180-184,200-204,265-269,285-286,288-289,305-309,325-329,390-394,410-411,413-414,430-434,450-454,515-519,535,537-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,786-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1060,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1286,1288-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1536,1538-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,2640-2644,2660-2664,2680-2684,2700-2704,2765-2769,2785-2789,2805-2809,2825-2829,2890-2894,2910-2914,2930-2934,2950-2954,3015-3019,3035-3039,3055-3059,3075-3079,3140-3144,3160-3164,3180-3184,3200-3204,3265-3269,3285-3289,3305-3309,3325-3329,3390-3394,3410-3414,3430-3434,3450-3454,3515-3519,3535-3539,3555-3559,3575-3579,NW7D007D7D7D007D00017D7D7D01007D7D0519057D7D7D7D1900197D7D7D7D0519057D7D00017D7D7D01007D007D7D7D007D
13b4o$12bo3b2o$12bo3b2o$12bo3b2o$13b4o12$2bo$o3bo16bo2bo25bo$5bo19bo
25bo$o4bo15bo3bo23b3o$b5o16b4o!

[LWSSONHWSSONLWSS]

908-tick diehard

Code: Select all

x = 21, y = 30, rule = R10,C9,S41-84,B63-81,100-110,N2
4.2H4G$.5H6GF$.4H6G4F$.2H8.5F$13.4F$15.2FE$15.3E$15.H3E$15.2H3E$15.2H
3E$15.3H2D$15.3H3D$15.3H3D$5.3AB2H3.3H2G2D$4.5AG7H2G2D$4.5AFG5H3GCD$5.
4AF3G3H2G3C$2.6A2EF6GF3C$.6AC2E2F4G2F3C$6ABD2E3F2G2FEBC$5ABCD3E5F2EBC
$4AB2CD9E3B$3A2BC2D8EA2B$4ABC3D5ED2A2B$4A2BC7D3AB$.4A2B6C4A$.6A4B5A$2.
12A$3.9A$5.5A!

Can you make it an oscillator/spaceship?

[confocaloid]

901-tick diehard

Code: Select all

x = 21, y = 30, rule = R10,C9,S41-84,B63-81,100-110,N2
4.2H4G$.5H6GF$.4H6G4F$.2H8.5F$13.4F$15.2FE$15.3E$15.H3E$15.2H3E$15.2H
3E$15.3H2D$15.3H3D$15.3H3D$5.3AB2H3.3H2G2D$4.5AG7H2G2D$4.5AFG5H3GCD$5.
4AF3G3H2G3C$2.6A2EF6GF3C$.6AC2E2F4G2F3C$6ABD2E3F2G2FEBC$5ABCD3E5F2EBC
$4AB2CD9E3B$3A2BC2D8EA2B$4ABC3D5ED2A2B$4A2BC7D3AB$.4A2B6C4A$.6A4B5A$2.
12A$3.9A$5.5A!

Can you make it an oscillator/spaceship?

Sort of. Here is a (edit: predecessor of a) period-3316 mod-829 rotating oscillator, using "stable rocks" to remove leftover junk which otherwise would cause failure.

The oscillator's engine is a "temporary beyblade" that repeatedly explodes and reappears. I predict some level of disagreement on whether or not it is possible to "count apparent turns" in a meaningful well-defined way in cases like this, whether or not "the" answer can be a non-integer number, and what are possibilities.

Code: Select all

x = 562, y = 562, rule = R10,C9,S41-84,B63-81,92,100-110,N2
155.4A$156.3A$155.6A$154.8A.A$154.5A$154.2A.A$154.2A$154.2A.A$154.4A$
154.5A$154.5A$155.5A$156.2A27$319.3A$320.A2$321.A$316.A4.2A$316.A7.2A
$317.2A4.3A$316.10A$316.10A$318.7A106$551.8A$550.10A.A$549.5A3.5A$
549.6A.6A$550.3A4.5A$550.A7.2A$558.2A$558.A2$558.A73$44.4A$44.5A$45.
4A$43.A2.3A$39.A2.2A2.3A$39.2A5.3A$39.A6.3A$45.4A$45.3A$43.2A.2A71$
514.2A.2A$514.3A$513.4A$513.3A6.A$513.3A5.2A$513.3A2.2A2.A$513.3A2.A$
513.4A$513.5A$514.4A5$388.2H4G$385.5H6GF$385.4H6G4F$385.2H8.5F$397.4F
$399.2FE$399.3E$399.H3E$399.2H3E$399.2H3E$399.3H2D$399.3H3D$399.3H3D$
389.3AB2H3.3H2G2D$388.5AG7H2G2D$388.5AFG5H3GCD$389.4AF3G3H2G3C$386.6A
2EF6GF3C$385.6AC2E2F4G2F3C$384.6ABD2E3F2G2FEBC$384.5ABCD3E5F2EBC$384.
4AB2CD9E3B$384.3A2BC2D8EA2B$384.4ABC3D5ED2A2B$384.4A2BC7D3AB$385.4A2B
6C4A$385.6A4B5A$386.12A$387.9A$389.5A39$3.A2$3.A$2.2A$2.2A7.A$5A4.3A$
6A.6A$5A3.5A$A.10A$3.8A106$237.7A$236.10A$236.10A$236.3A4.2A$236.2A7.
A$239.2A4.A$240.A2$241.A$240.3A27$404.2A$402.5A$403.5A$403.5A$404.4A$
404.A.2A$406.2A$404.A.2A$403.5A$398.A.8A$401.6A$403.3A$403.4A!

[LWSSONHWSSONLWSS]

However, the concept is going to break (due to loss of continuity) when someone discovers a beyblade oscillator that repeatedly "explodes and reincarnates".

You kinda broke the concept
Also, p18:

Code: Select all

x = 163, y = 163, rule = R10,C9,S120-316,B63-81,92,100-110,N2
47.2F24.17E24.2F$39.5F31G13E31G5F$38.4F15G49F15G4F$37.3F8G8E51F8E8G3F
$35.F5G2E77H2E5GF$31.4G11H3C23H8G3F8G23H3C11H4G$21.5A8B2.C.F2GH2E2D4E
5C5D6C6B6A7.6A6B6C5D5C4E2D2EH2GF.C2.8B5A$18.2A2B.HB3H2E2CH3G3H4.3C3A65.
3A3C4.3H3GH2C2E3HBH.2B2A$15.2A2B4CH5A2B.4C5.81A5.4C.2B5AH4C2B2A$13.2A
2B2CE.2BGH3E5.97A5.3EHG2B.E2C2B2A$12.A2B2CABGHF3.113A3.FHGBA2C2BA$11.
A2BCHBGHE123.EHGBHC2BA$10.A2B2CBGE127.EGB2C2BA$9.A2BCBED.129A.DEBC2BA
$9.AB2CED.131A.DE2CBA$8.ABCHBD.133A.DBHCBA$8.ABCBG.135A.GBCBA$8.BCAGE
137AEGACB$7.ABCBH.137A.HBCBA$7.ACEGE.137A.EGECA$7.BC.H2.137A2.H.CB$6.
ABCBF2.137A2.FBCBA$6.A.CB3.137A3.BC.A$6.A2HG3.137A3.G2HA$6.ABAH3.137A
3.HABA$6.AHAEA2.137A2.AEAHA$6.BHAEA2.137A2.AEAHB$6.BHAEA2.137A2.AEAHB
$6.BEA.A2.137A2.A.AEB$6.BEB.A2.137A2.A.BEB$6.BCB.A2.137A2.A.BCB$5.GBC
2.A2.137A2.A2.CBG$5.GBHC.A2.137A2.A.CHBG$5.GBGC2A2.137A2.2ACGBG$5.G.G
C2A2.137A2.2ACG.G$4.FH.GC2A2.137A2.2ACG.HF$4.GHCH.2A2.137A2.2A.HCHG$3.
FGH.H.2A2.137A2.2A.H.HGF$2.2FGHFH.2A2.137A2.2A.HFHG2F$.3FGHG2.2A2.137A
2.2A2.GHG3F$.2F2GHG2.2A2.137A2.2A2.GH2G2F$.2FGE2H.3A2.137A2.3A.2HEG2F
$.F2GEHE.3A2.137A2.3A.EHE2GF$.F2G2HEC3A2.137A2.3ACE2H2GF$.3G2HDC3A2.137A
2.3ACD2H3G$.3G2HDC3A2.137A2.3ACD2H3G$.3GHCE4A2.137A2.4AECH3G$F3GHCE4A
2.137A2.4AECH3GF$F2GEHCE4A2.137A2.4AECHE2GF$.2GE2HE.3A2.137A2.3A.E2HE
2G$.2GE2HC.3A2.137A2.3A.C2HE2G$.2GE2HC.3A2.137A2.3A.C2HE2G$.2GE2HC.3A
2.137A2.3A.C2HE2G$.2GE2HC.3A2.137A2.3A.C2HE2G$.2GE2HC.3A2.137A2.3A.C2H
E2G$.2GE2HD.3A2.137A2.3A.D2HE2G$.2GF2HD.3A2.137A2.3A.D2HF2G$.G2F2HD.3A
2.137A2.3A.D2H2FG$.G2F2HD.3A2.137A2.3A.D2H2FG$.G2F2HD.3A2.137A2.3A.D2H
2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HC.3A
2.137A2.3A.C2H2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HC.3A2.137A2.3A.C2H
2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.G2F2HB.3A
2.137A2.3A.B2H2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.G2F2HB.3A2.137A2.3A.B2H
2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.G2FHGA.3A
2.137A2.3A.AGH2FG$EG2FHGA.3A2.137A2.3A.AGH2FGE$EG2FHGA.3A2.137A2.3A.A
GH2FGE$2E2FHGA.3A2.137A2.3A.AGH2F2E$2E2FHGA.3A2.137A2.3A.AGH2F2E$2E2F
HGA.3A2.137A2.3A.AGH2F2E$2E2FHG2.3A2.137A2.3A2.GH2F2E$2E2FHG2.3A2.137A
2.3A2.GH2F2E$2E2FHF2.3A2.137A2.3A2.FH2F2E$2E2FHF2.3A2.137A2.3A2.FH2F2E
$2E2FHF2.3A2.137A2.3A2.FH2F2E$2E2FHG2.3A2.137A2.3A2.GH2F2E$2E2FHG2.3A
2.137A2.3A2.GH2F2E$2E2FHGA.3A2.137A2.3A.AGH2F2E$2E2FHGA.3A2.137A2.3A.
AGH2F2E$2E2FHGA.3A2.137A2.3A.AGH2F2E$EG2FHGA.3A2.137A2.3A.AGH2FGE$EG2F
HGA.3A2.137A2.3A.AGH2FGE$.G2FHGA.3A2.137A2.3A.AGH2FG$.G2F2HB.3A2.137A
2.3A.B2H2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.
G2F2HB.3A2.137A2.3A.B2H2FG$.G2F2HB.3A2.137A2.3A.B2H2FG$.G2F2HB.3A2.137A
2.3A.B2H2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.
G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HC.3A2.137A
2.3A.C2H2FG$.G2F2HC.3A2.137A2.3A.C2H2FG$.G2F2HD.3A2.137A2.3A.D2H2FG$.
G2F2HD.3A2.137A2.3A.D2H2FG$.G2F2HD.3A2.137A2.3A.D2H2FG$.2GF2HD.3A2.137A
2.3A.D2HF2G$.2GE2HD.3A2.137A2.3A.D2HE2G$.2GE2HC.3A2.137A2.3A.C2HE2G$.
2GE2HC.3A2.137A2.3A.C2HE2G$.2GE2HC.3A2.137A2.3A.C2HE2G$.2GE2HC.3A2.137A
2.3A.C2HE2G$.2GE2HC.3A2.137A2.3A.C2HE2G$.2GE2HE.3A2.137A2.3A.E2HE2G$F
2GEHCE4A2.137A2.4AECHE2GF$F3GHCE4A2.137A2.4AECH3GF$.3GHCE4A2.137A2.4A
ECH3G$.3G2HDC3A2.137A2.3ACD2H3G$.3G2HDC3A2.137A2.3ACD2H3G$.F2G2HEC3A2.
137A2.3ACE2H2GF$.F2GEHE.3A2.137A2.3A.EHE2GF$.2FGE2H.3A2.137A2.3A.2HEG
2F$.2F2GHG2.2A2.137A2.2A2.GH2G2F$.3FGHG2.2A2.137A2.2A2.GHG3F$2.2FGHFH
.2A2.137A2.2A.HFHG2F$3.FGH.H.2A2.137A2.2A.H.HGF$4.GHCH.2A2.137A2.2A.H
CHG$4.FH.GC2A2.137A2.2ACG.HF$5.G.GC2A2.137A2.2ACG.G$5.GBGC2A2.137A2.2A
CGBG$5.GBHC.A2.137A2.A.CHBG$5.GBC2.A2.137A2.A2.CBG$6.BCB.A2.137A2.A.B
CB$6.BEB.A2.137A2.A.BEB$6.BEA.A2.137A2.A.AEB$6.BHAEA2.137A2.AEAHB$6.B
HAEA2.137A2.AEAHB$6.AHAEA2.137A2.AEAHA$6.ABAH3.137A3.HABA$6.A2HG3.137A
3.G2HA$6.A.CB3.137A3.BC.A$6.ABCBF2.137A2.FBCBA$7.BC.H2.137A2.H.CB$7.A
CEGE.137A.EGECA$7.ABCBH.137A.HBCBA$8.BCAGE137AEGACB$8.ABCBG.135A.GBCB
A$8.ABCHBD.133A.DBHCBA$9.AB2CED.131A.DE2CBA$9.A2BCBED.129A.DEBC2BA$10.
A2B2CBGE127.EGB2C2BA$11.A2BCHBGHE123.EHGBHC2BA$12.A2B2CABGHF3.113A3.F
HGBA2C2BA$13.2A2B2CE.2BGH3E5.97A5.3EHG2B.E2C2B2A$15.2A2B4CH5A2B.4C5.81A
5.4C.2B5AH4C2B2A$18.2A2B.HB3H2E2CH3G3H4.3C3A65.3A3C4.3H3GH2C2E3HBH.2B
2A$21.5A8B2.C.F2GH2E2D4E5C5D6C6B6A7.6A6B6C5D5C4E2D2EH2GF.C2.8B5A$31.4G
11H3C23H8G3F8G23H3C11H4G$35.F5G2E77H2E5GF$37.3F8G8E51F8E8G3F$38.4F15G
49F15G4F$39.5F31G13E31G5F$47.2F24.17E24.2F!

[confocaloid]

901-tick diehard [...] Can you make it an oscillator/spaceship?

Period-1316 engine, period-2632 oscillator (period multiplication):

Code: Select all

x = 19, y = 28, rule = R10,C9,S41-84,B63-81,95,100-110,164,N2
2.4H2G$2.3H4G2F$.4H2G6F$9.5E$11.4E$12.4D$13.4D$13.GC2D$13.HG2CD$13.2G
F2C$13.G2F3C$4.2A6.2G2F3C$2.5A7G2F2BC$2.5A2F4G2FE3B$2.5AD7FE2B$3.4ADE
5FEDAB$.5AB2D2EF2ED3A$.4A2BC2D3E2D3A$5A2BC2D2E2DC2A$4A3BC5DC3A$4A3B7C
3A$4A4B3C2B3A$.4A8B3A$2.5A5B3A$3.11A$4.10A$5.7A$8.2A!