Lightweight spaceship
| Lightweight spaceship | |||||||||
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| Pattern type | Spaceship | ||||||||
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| Family | XWSS | ||||||||
| Number of cells | 9 | ||||||||
| Bounding box | 5 × 4 | ||||||||
| Frequency class | 11.2 | ||||||||
| Direction | Orthogonal | ||||||||
| Period | 4 (mod: 2) | ||||||||
| Speed | c/2 | 2c/4 | ||||||||
| Heat | 11 | ||||||||
| Kinetic symmetry | n-c | ||||||||
| Discovered by | John Conway | ||||||||
| Year of discovery | 1970 | ||||||||
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The lightweight spaceship (commonly abbreviated to LWSS) or (rarely) small fish[1] is the smallest orthogonal spaceship, and the second most common spaceship after the glider. It moves at speed c/2 and has period 4 (and is therefore often referred to as 2c/4). It was found by John Conway in 1970.
Tagalong
In April 1992, David Bell found a tagalong for two lightweight spaceships (or two middleweight spaceships or two heavyweight spaceships). It can be extended indefinitely by attaching it to the back of itself. Interestingly, a hivenudger with symmetric rear (that is, both rear spaceships being of same "weight") can pull this tagalong.
| Tagalong for two lightweight spaceships (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Construction
| Four 3G syntheses for the LWSS (click above to open LifeViewer) |
A number of different ways to construct a LWSS can be found in Mark Niemiec's glider synthesis database;[2] above are shown three-glider syntheses.
A three-object one-glider seed for the lightweight spaceship, consisting of two blocks and a beehive, is used in the pattern Patterns/Life/Breeders/switch-engine-breeder-MR.rle included in Golly's pattern collection. The seed constellation itself can be constructed with four gliders,[3] leading to a way of constructing the LWSS using 5 gliders.
A different one-glider seed that fits inside a 12 × 12 square can be found in the octohash database;[4] it is a constellation of a blinker and an eater 1, itself constructible with four gliders.[5] There are 60 matches in the octo3obj database which are clean one-glider seeds for the LWSS.[6]
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Occurrence
- See also: List of natural spaceships
Random soups investigated by Achim Flammenkamp emitted one LWSS for approximately every 615 gliders.[7] The LWSS is also the eighteenth most common object on Adam P. Goucher's Catagolue.[8]
There are 731 results in the octohash database,[note 1] 6563 results in the octo3obj database,[note 2] and 1009 results in the octo3g database[note 3] with at least one escaping LWSS.
See also
- Fake xWSS
- Middleweight spaceship, Heavyweight spaceship, LWSS on MWSS 1, LWSS on HWSS 1
- Lightweight emulator
- Toaster
- Infinite LWSS hotel
- G-to-LWSS
- LWSS-LWSS bounce
- LWSS-LWSS deflection
- LWSS-glider bounce
Notes
- ↑ There are two collisions, each with two escaping LWSSes. One collision (headerless RLE 8b2o$9bo$b2o6bobo$obo2b2o3b2o$2o2b2o$6bo!) has final population 158. The other collision (b2o$obo$2o6b2o$9bo$9bobo$10b2o2$12bo$11b2o$11bobo!) has final population alternating between 367 and 373.
- ↑ There are 28 results where two lightweight spaceships escape.
- ↑ There is one collision (headerless RLE obo$b2o$bo75$75bo$76b2o$75b2o$80bo$79b2o$79bobo!) with two escaping lightweight spaceships. The final population is 377.
References
- ↑ "Small fish". The Life Lexicon. Stephen Silver. Retrieved on June 10, 2009.
- ↑ The 1 nine-bit spaceship at Mark D. Niemiec's Life Page (download pattern file: ss/9lw.rle)
- ↑ xs14_696y6oozy5cc at Adam P. Goucher's Catagolue (pseudo-object)
- ↑ Repository on GitHub
- ↑ xp2_354cxs at Adam P. Goucher's Catagolue (pseudo-object)
- ↑ Dave Greene (October 21, 2022). Re: Octohash fingerprints (discussion thread) at the ConwayLife.com forums
- ↑ "Spontaneous appeared Spaceships out of Random Dust". Achim Flammenkamp (December 9, 1995). Retrieved on August 18, 2011.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- LWSS at the Life Lexicon
- Lightweight spaceship at Adam P. Goucher's Catagolue
- Lightweight Spaceship at Heinrich Koenig's Game of Life Object Catalogs
- Life (B3/S23) at David Eppstein's Glider Database
- LWSS on LWSS at Adam P. Goucher's Catagolue (pseudo-object)
- xWSS Tagalong at Adam P. Goucher's Catagolue
- Patterns
- Patterns with Catagolue frequency class 11
- Natural periodic objects
- Spaceships with 9 cells
- Periodic objects with minimum population 9
- Patterns with 9 cells
- Patterns found by John Conway
- Patterns found in 1970
- Patterns that can be constructed with 3 gliders
- Spaceships
- Spaceships with period 4
- Orthogonal spaceships
- Spaceships with speed c/2
- Spaceships with unsimplified speed 2c/4
- Spaceships with heat 11
- XWSS variants
- Spaceships with mod 2
- Spaceships with n-c symmetry
- Polyominoes