Long integral: Difference between revisions
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{{Stilllife|name=Long integral|pname=longintegral|bx=4| | {{Stilllife | ||
'''Long integral''' (or '''S-ten''') is a | |name = Long integral | ||
|pname = longintegral | |||
|c = 10 | |||
|bx = 6 | |||
|by = 4 | |||
|fc = 20.5 | |||
|symmetry = .k | |||
|discoveryear = 1972 | |||
|rulemin = B/S23 | |||
|rulemax = B3678/S012345678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B/S2aek3n | |||
|isorulemax = B1e2cin34-k5-q678/S012345678 | |||
|synthesis = 4 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xs10_3542ac | |||
|niemiecid = 10.19 | |||
|pentadecathlonid = 10.9 | |||
|viewerconfig = [[ ZOOM 42 ]] | |||
}} | |||
'''Long integral''' (or '''S-ten''') is a {{slcells|10|text=10-cell}} [[Still_life#Strict_still_lifes|strict still life]]; it is the [[long]] version of the [[integral sign]]. Unlike it, it cannot act as a [[glider]] [[eater]]. | |||
== | == Occurrence == | ||
{{related|List of common still lifes|Most common objects on Catagolue}} | |||
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> | |||
==External links== | It is the 66th [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[trans-bun and wing]] but more common than [[tub with long tail]]. It is the 10th most common still life with 10 cells, being less common than [[boat with long tail]] but more common than [[claw with tail]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref> | ||
* | |||
* | == Glider synthesis == | ||
{{main|Glider synthesis}} | |||
{{Small constructible periodic object}} | |||
== See also == | |||
* [[Hooked integral]] | |||
== References == | |||
<references/> | |||
== External links == | |||
* {{LinkCatagolue|xs10_3542ac}} | |||
* {{LinkLexicon|lex_l.htm#longintegral}} | |||
* {{LinkNiemiec|p1.htm#p1-10|The 25 ten-bit still-lifes|rle=10/10-19.rle}} | |||
__NOTOC__ | |||
Latest revision as of 08:33, 16 August 2026
| Long integral | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 10 | ||||||||
| Bounding box | 6 × 4 | ||||||||
| Frequency class | 20.5 | ||||||||
| Static symmetry | .k (C2_4) | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | 1972 | ||||||||
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Long integral (or S-ten) is a 10-cell strict still life; it is the long version of the integral sign. Unlike it, it cannot act as a glider eater.
Occurrence
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 the 66th most common still life on Adam P. Goucher's Catagolue, being less common than trans-bun and wing but more common than tub with long tail. It is the 10th most common still life with 10 cells, being less common than boat with long tail but more common than claw with tail.[2]
Glider synthesis
- Main article: 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 May 5, 2023.
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
- Strict still lifes with .k symmetry