Long integral: Difference between revisions
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10-cell still lifes: December 1972 via Lifeline Volume 8, page 2 |
m previous name is linked to a different still life on Catagolue; formatting |
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|pentadecathlonid = 10.9 | |pentadecathlonid = 10.9 | ||
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'''Long integral''' (or '''S-ten''') is a {{slcells|10}} | '''Long integral''' (or '''S-ten''') is a {{slcells|10|text=10-cell}} [[still life]]; it is the [[long]] version of the [[integral sign]]. Unlike it, it cannot act as a [[glider]] [[eater]]. | ||
== | == Commonness == | ||
{{main|List of common still lifes}} | |||
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}} | {{Small constructible periodic object}} | ||
== See also == | == See also == | ||
* [[ | * [[Hooked integral]] | ||
== References == | == References == | ||
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== External links == | == External links == | ||
{{LinkCatagolue|xs10_3542ac}} | * {{LinkCatagolue|xs10_3542ac}} | ||
{{LinkLexicon|lex_l.htm#longintegral}} | * {{LinkLexicon|lex_l.htm#longintegral}} | ||
{{LinkNiemiec|p1.htm#p1-10| | * {{LinkNiemiec|p1.htm#p1-10|The 25 ten-bit still-lifes|rle=10/10-19.rle}} | ||
{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 22:17, 24 October 2022
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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 | 1972 | ||||||||
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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.
Commonness
- Main article: List of common still lifes
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]
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.
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 Adam P. Goucher's Catagolue
- Long integral at the Life Lexicon
- The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-19.rle)
Categories:
- Patterns
- Patterns with Catagolue frequency class 20
- Natural periodic objects
- Periodic objects with minimum population 10
- Patterns with 10 cells
- Patterns found in 1972
- 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