x66
| x66 | |||||||||
| View animated image | |||||||||
| View static image | |||||||||
| Pattern type | Spaceship | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 34 | ||||||||
| Bounding box | 9 × 11 | ||||||||
| Direction | Orthogonal | ||||||||
| Period | 4 | ||||||||
| Mod | 4 | ||||||||
| Speed | c/2 | 2c/4 | ||||||||
| Heat | 31 | ||||||||
| Discovered by | Hartmut Holzwart | ||||||||
| Year of discovery | 1992 | ||||||||
| |||||||||
| |||||||||
| |||||||||
| |||||||||
x66 is a period-4 spaceship with speed c/2 orthogonal that was found by Hartmut Holzwart in July 1992.
Its name refers to the fact that every cell (alive or dead) has at most 6 live neighbours (in contrast to spaceships based on lightweight spaceships, middleweight spaceships, or heavyweight spaceships). In fact, this spaceship was found via a search with this restriction. From this follows that the spaceship is stable also in Life-like rules allowing birth or survival for a cell with 7 or 8 neighbors.
One of the symmetric halves can alternatively be escorted by a domino spark from the heavyweight spaceship, as shown below.
| semi-x66 on HWSS (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Glider synthesis
x66 was first synthesized by Martin Grant and Tanner Jacobi on January 11, 2015, requiring 162 gliders.[1] After the emergence of this spaceship in a symmetrical soup found by Adam P. Goucher on March 8, 2015,[2] this was drastically reduced to 13 gliders by Chris Cain,[3] and then to 12 gliders in 2018.[4] An alternative 12-glider synthesis with more stages was found by iNoMed on September 18, 2021.[5] On September 6, 2023, Carson Cheng found an 11-glider synthesis based on a partial synthesis by iNoMed.[6][7]
A 9-glider synthesis for the HWSS on semi-x66 was found on March 8, 2015, from the same reaction used to create the full x66 in 13 gliders.[8]
See also
References
- ↑ Martin Grant (January 11, 2015). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ flipper77 (March 8, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Chris Cain (March 8, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ 2718281828 (January 15, 2018). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (September 18, 2021). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Chris857 (September 7, 2023). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#5030945627) (September 6, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Matthias Merzenich (March 8, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- x66 at the Life Lexicon
- Life (B3/S23) at David Eppstein's Glider Database
- x66 at Adam P. Goucher's Catagolue
- 34P4H2V0.23 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Spaceships with 34 cells
- Periodic objects with minimum population 34
- Patterns with 34 cells
- Patterns found by Hartmut Holzwart
- Patterns found in 1992
- Patterns that can be constructed with 11 gliders
- Spaceships
- Spaceships with period 4
- Orthogonal spaceships
- Spaceships with speed c/2
- Spaceships with unsimplified speed 2c/4
- Spaceships with heat 31
- Spaceships with mod 4
- Patterns with bilateral orthogonal symmetry
- Semi-natural periodic objects