Long integral: Difference between revisions
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'''Long integral''' (or '''S-ten''') is a {{slcells|10}}-[[cell]] [[still life]]; it is the [[long]] version of the [[integral sign]]. Unlike it, it cannot act as a [[glider]] [[eater]]. | '''Long integral''' (or '''S-ten''') is a {{slcells|10}}-[[cell]] [[still life]]; it is the [[long]] version of the [[integral sign]]. Unlike it, it cannot act as a [[glider]] [[eater]]. | ||
==[[List of common still lifes|Commonness]]== | == [[List of common still lifes|Commonness]] == | ||
Long integral is the seventieth most common still life in [[Achim Flammenkamp's census]], being less common than [[hook with tail]] but more common than [[eleven loop]].<ref>{{citeAchim|accessdate=November 8, 2009}}</ref> It is also the seventy-seventh most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | Long integral is the seventieth most common still life in [[Achim Flammenkamp's census]], being less common than [[hook with tail]] but more common than [[eleven loop]].<ref>{{citeAchim|accessdate=November 8, 2009}}</ref> It is also the seventy-seventh most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | ||
== | == [[Glider synthesis]] == | ||
{{Small constructible periodic object}} | |||
==References== | == See also == | ||
* [[Integral with hook]] | |||
== References == | |||
<references/> | <references/> | ||
==External links== | == External links == | ||
{{LinkLexicon|lex_l.htm#longintegral}} | {{LinkLexicon|lex_l.htm#longintegral}} | ||
{{LinkCatagolue|xs10_3542ac}} | {{LinkCatagolue|xs10_3542ac}} | ||
| Line 36: | Line 39: | ||
{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
[[Category:Diagonal line stabilisations]] | [[Category:Diagonal line stabilisations]] | ||
Revision as of 01:49, 24 December 2021
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 10 | ||||||||
| Bounding box | 4 × 6 | ||||||||
| Frequency class | 20.5 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Long integral (or S-ten) is a 10-cell still life; it is the long version of the integral sign. Unlike it, it cannot act as a glider eater.
Long integral is the seventieth most common still life in Achim Flammenkamp's census, being less common than hook with tail but more common than eleven loop.[1] It is also the seventy-seventh most common object on Adam P. Goucher's Catagolue.[2]
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.
See also
References
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 8, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- Long integral at the Life Lexicon
- The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page
Categories:
- Patterns
- Patterns with Catagolue frequency class 20
- Natural periodic objects
- Periodic objects with minimum population 10
- Patterns with 10 cells
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 10 cells
- Patterns with 180-degree rotation symmetry
- Diagonal line stabilisations