Caterpillar
- This article is about the 17c/45 crawler ship. For the adjustable spaceship, see Caterloopillar.
Caterpillar | |||||||
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Pattern type | Spaceship | ||||||
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Number of cells | 11880063 | ||||||
Bounding box | 4195 × 330721 | ||||||
Direction | Orthogonal | ||||||
Period | 270 | ||||||
Mod | 270 | ||||||
Speed | 17c/45 | ||||||
Speed (unsimplified) | 102c/270 | ||||||
Heat | 12114897.5 | ||||||
Discovered by | Gabriel Nivasch David Bell Jason Summers | ||||||
Year of discovery | 2004 | ||||||
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The Caterpillar is the first 17c/45 orthogonal spaceship to be constructed, and is the first engineered spaceship based on a crawler with a 17c/45 reaction. It was the only known (barring minor modifications described below) 17c/45 orthogonal spaceship until the construction of the Speed Orthogonoid in 2022. It was created via a combination of manually-constructed parts put together by David Bell, Jason Summers and Gabriel Nivasch and a computer-aided construction coded by Nivasch. The Caterpillar's construction cost lots of time before completion on December 31, 2004.
Caterpillar has 11,880,063 cells which can be reduced to 11,880,039 cells trivially.[1] In terms of population, it was one of the largest patterns constructed in Game of Life up to that point; in terms of spaceships, it was perhaps the largest interesting spaceship until June 2023, which saw it surpassed by a currently unnamed (34,7)c/156 construction by Luka Okanishi of more than double the minimum population. The image of the caterpillar shown to the right is zoomed out to a scale of 32 cells per pixel, showing only the top 3% of it. Encoded as an RLE file, it is over 29MB in size.
The spaceship moves at the speed of 17c/45, the fourth fastest known orthogonal speed (excluding those achievable by some adjustable spaceships), which may initially seem counterintuitive due to its size. However, this speed is ingrained into the fundamental crawler reaction and is entirely unrelated to the length of the spaceship. After each of the longest-lived LWSSes is created near the back of the spaceship, it takes almost 2,688,000 ticks for that LWSS to travel to the front of the spaceship and be used in the helix burning reaction. However, every 270 ticks the entire configuration returns to its previous state, but shifted forward by 102 cells.
Since at least 2013, some effort has been invested into constructing a smaller 17c/45 spaceship based on the same reaction, which has yet to come to fruition.[2]
See also
References
- ↑ Dave Greene (June 28, 2016). Re: Caterpillar's little brother research (discussion thread) at the ConwayLife.com forums
- ↑ https://conwaylife.com/forums/viewtopic.php?t=1258
External links
- Caterpillar at the Life Lexicon
- "The 17c/45 Caterpillar spaceship". Gabriel Nivasch's Life page (January 2005). A "brief overview" of how the Caterpillar works (with illustrations and RLE files of parts), the pattern in RLE format, plus complete C++ & RLE sources for assembling it.
- "17c/45 "Caterpillar" spaceship". Jason Summer's Life page. A short summary of what the Caterpillar is with a few pictures, plus the pattern in RLE and .mc (macrocell) formats. Golly loads the macrocell file much more quickly than the RLE.
- Life (B3/S23) at David Eppstein's Glider Database
- New 17c/45 Spaceship: The Caterpillar at Game of Life News. Posted by Heinrich Koenig on December 31, 2004.
- Patterns
- Spaceships with between 10,000,000 and 99,999,999 cells
- Periodic objects with minimum population between 10,000,000 and 99,999,999
- Patterns with between 10,000,000 and 99,999,999 cells
- Patterns found by Gabriel Nivasch
- Patterns found by David Bell
- Patterns found by Jason Summers
- Patterns found in 2004
- Outer-totalistically endemic patterns
- Spaceships
- Spaceships with period 270
- Orthogonal spaceships
- Spaceships with speed 17c/45
- Spaceships with unsimplified speed 102c/270
- Spaceships with heat between 10,000,000 and 99,999,999
- Spaceships with mod 270
- Non-monotonic spaceships
- Engineered spaceships