Trans-snake on bookend: Difference between revisions
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|by = 5 | |by = 5 | ||
|fc = 26.8 | |fc = 26.8 | ||
|symmetry = n | |||
|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3678/S012345678 | |rulemax = B3678/S012345678 | ||
|isorulemin = B/S2aek3nr | |isorulemin = B/S2aek3nr | ||
|isorulemax = B2in34-iry5-jqr678/S012345678 | |isorulemax = B2in34-iry5-jqr678/S012345678 | ||
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|rle = true | |rle = true | ||
|apgcode = xs13_39e0mq | |apgcode = xs13_39e0mq | ||
|pentadecathlonid = 13.30 | |||
|niemiecid = 13.222 | |||
}} | }} | ||
'''Trans-snake on bookend''' is a {{slcells|13}} | '''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 == | ||
A single bookend is sometimes used as a catalyst. 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. | A single bookend is sometimes used as a [[catalyst]].{{cn}} 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 == | ||
{{ | {{related|List of common still lifes}} | ||
Trans-snake on bookend is the 41st or 42nd most common 13-cell still life out of 240. <!-- 42nd on 7/27/22, but it could overtake 41st --> | |||
== | == Glider synthesis == | ||
{{Small constructible periodic object}} | {{Small constructible periodic object}} | ||
== | == References == | ||
<references> | |||
</references> | |||
== External links == | == External links == | ||
{{LinkCatagolue|xs13_39e0mq}} | * {{LinkPentadecathlonObject|id=13.30|archivedate=20221103190853}} | ||
{{LinkNiemiec|p1-13.htm| | * {{LinkCatagolue|xs13_39e0mq}} | ||
* {{LinkNiemiec|p1-13.htm|The 240 thirteen-bit still-lifes|rle=13/13-222.rle}} | |||
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Latest revision as of 14:58, 19 March 2025
| Trans-snake on bookend | |||||||||
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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)