Trans-snake on bookend: Difference between revisions
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'''Trans-snake on bookend''' or '''down snake on bookend'''{{refn|https://conwaylife.com/ref/mniemiec/lifesrch.htm}} is a {{slcells|13|text=13-bit}} [[still life]] which involves a [[snake]] stabilising a [[bookend]]. | '''Trans-snake on bookend''' or '''down snake on bookend'''{{refn|https://conwaylife.com/ref/mniemiec/lifesrch.htm}} is a {{slcells|13|text=13-bit}} [[still life]] which involves a [[snake]] stabilising a [[bookend]]. | ||
This specific [[isomer]] is [[Pattern naming|named]] ''trans'' due to having a larger bounding box, as the two "ends" of each [[island]] effectively point away from each other. Since the snake is a stable pattern by itself, the term ''on'' is used rather than ''and''. | This specific [[isomer]] is [[Pattern naming|named]] ''trans'' due to having a larger bounding box, as the two "ends" of each [[island]] effectively point away from each other. The other isomer, [[cis-snake on bookend]], has a smaller bounding box. Since the snake is a stable pattern by itself, the term ''on'' is used rather than ''and''. | ||
== As a catalyst == | == As a catalyst == | ||
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== Glider synthesis == | == Glider synthesis == | ||
{{Small constructible periodic object}} | {{Small constructible periodic object}} | ||
== References == | == References == | ||
Latest revision as of 14:58, 19 March 2025
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 13 | ||||||||
| Bounding box | 6 × 5 | ||||||||
| Frequency class | 26.8 | ||||||||
| Static symmetry | n (C1) | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Trans-snake on bookend or down snake on bookend[1] is a 13-bit still life which involves a snake stabilising a bookend.
This specific isomer is named trans due to having a larger bounding box, as the two "ends" of each island effectively point away from each other. The other isomer, cis-snake on bookend, has a smaller bounding box. Since the snake is a stable pattern by itself, the term on is used rather than and.
As a catalyst
A single bookend is sometimes used as a catalyst.[citation needed] As the bookend alone is not stable, it has to be stabilised, and a snake on bookend is the smallest way to do so. Whether this isomer is useful in that aspect is unknown.
Occurrence
- See also: List of common still lifes
Trans-snake on bookend is the 41st or 42nd most common 13-cell still life out of 240.
Glider synthesis
All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
References
External links
- 13.30 at Heinrich Koenig's Game of Life Object Catalogs
- Trans-snake on bookend at Adam P. Goucher's Catagolue
- The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-222.rle)