Trans-very long hook with nine: Difference between revisions
all 12-bit still lifes found in Lifeline Volume 10; overall frequency not unknown |
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'''Trans-very long hook with nine''' is a {{slcells|12}} | '''Trans-very long hook with nine''' is a {{slcells|12|text=12-cell}} [[still life]]. | ||
This still life is comprised of the normally unstable [[very long hook]] with a normally unstable [[nine]] attached. This is one of two possible [[isomer]]s, named [[trans]] due to the corner part of the hook being farther from the nine; the other isomer, [[cis-very long hook with nine]], has this corner part slightly closer. | This still life is comprised of the normally unstable [[very long hook]] with a normally unstable [[nine]] attached. This is one of two possible [[isomer]]s, named [[trans]] due to the corner part of the hook being farther from the nine; the other isomer, [[cis-very long hook with nine]], has this corner part slightly closer. | ||
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It can be [[Substitutive nomenclature|substitutively]] referred to as the ''integral with trans-very long hook'', with one [[pre-block]] of the [[integral sign]] replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object. | It can be [[Substitutive nomenclature|substitutively]] referred to as the ''integral with trans-very long hook'', with one [[pre-block]] of the [[integral sign]] replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object. | ||
Among the 121 still lifes with 12 cells, this is the 60th [[List of common still lifes|most common still life]] according to [[Catagolue]]. | |||
Among the 121 still lifes with 12 cells, this is the 60th most common still life according to [[Catagolue]]. | |||
A {{gliders|6}} [[Glider synthesis|synthesis]] of this still life was found in March {{year|2021}}.<ref name="post125234" /> | |||
A {{gliders|6}} [[synthesis]] of this still life was found in March {{year|2021}}.<ref name="post125234" /> | |||
== References == | == References == | ||
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== External links == | == External links == | ||
{{LinkCatagolue|xs12_31eg8426}} | * {{LinkCatagolue|xs12_31eg8426|patternname=Integral with very long hook}} | ||
{{LinkNiemiec|12 | * {{LinkNiemiec|p1-12.htm|patternname=The 121 twelve-bit still-lifes}} (12.40) | ||
{{LinkPentadecathlonObject|12.39}} | * {{LinkPentadecathlonObject|12.39}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 15:50, 28 July 2022
| Trans-very long hook with nine | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 12 | ||||||||
| Bounding box | 8 × 5 | ||||||||
| Frequency class | 29.5 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Robert Wainwright Everett Boyer | ||||||||
| Year of discovery | 1973 | ||||||||
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Trans-very long hook with nine is a 12-cell still life.
This still life is comprised of the normally unstable very long hook with a normally unstable nine attached. This is one of two possible isomers, named trans due to the corner part of the hook being farther from the nine; the other isomer, cis-very long hook with nine, has this corner part slightly closer.
Unlike the cis-version, the trans-very long hook with nine can be shrunk down to two smaller still lifes: the long hook with nine and hook with nine. Due to the trans version being the only one which can be shrunk, these two do not have cis-trans prefixes.
It can be substitutively referred to as the integral with trans-very long hook, with one pre-block of the integral sign replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object.
Among the 121 still lifes with 12 cells, this is the 60th most common still life according to Catagolue.
A 6-glider synthesis of this still life was found in March 2021.[1]
References
- ↑ bubblegum (March 11, 2021). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
External links
- Integral with very long hook at Adam P. Goucher's Catagolue
- The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (12.40)
- 12.39 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 29
- Natural periodic objects
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by Robert Wainwright
- Patterns found by Everett Boyer
- Patterns found in 1973
- Patterns that can be constructed with 6 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 12 cells