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'''Prodigal'''<ref name="post21243" /> (or '''tub with nine''') is a {{slcells|10}} | '''Prodigal'''<ref name="post21243" /> (or '''tub with nine''') is a {{slcells|10|text=10-cell}} [[still life]], comprised of the normally stable [[tub]] with a normally unstable [[nine]] attached. | ||
It can be [[Substitutive nomenclature|substitutively]] referred to as the ''integral with tub'', with one [[pre-block]] of the [[integral sign]] replaced with a tub; however, if using a systematic name, "tub with nine" is usually preferred for this object. | |||
== Commonness == | |||
{{main|List of common still lifes}} | |||
== | |||
Tub with nine is the sixty-first most common still life in [[Achim Flammenkamp's census]], being less common than [[very long snake]] but more common than [[long shillelagh]].<ref>{{citeAchim|accessdate=November 7, 2009}}</ref> It is also the sixty-fifth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | Tub with nine is the sixty-first most common still life in [[Achim Flammenkamp's census]], being less common than [[very long snake]] but more common than [[long shillelagh]].<ref>{{citeAchim|accessdate=November 7, 2009}}</ref> It is also the sixty-fifth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | ||
Compared to Catagolue's typical 16×16 soups, the prodigal is 25% more common in 8×8 soups and 30% more common in 10×10 soups, and it is rarer on a torus. | Compared to Catagolue's typical 16×16 soups, the prodigal is 25% more common in 8×8 soups and 30% more common in 10×10 soups, and it is rarer on a [[torus]]. | ||
== | == Glider synthesis == | ||
{{Small constructible periodic object}} | {{Small constructible periodic object}} | ||
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== External links == | == External links == | ||
{{LinkCatagolue|xs10_g0s252z11|patternname=Prodigal}} | * {{LinkCatagolue|xs10_g0s252z11|patternname=Prodigal}} | ||
{{LinkNiemiec|p1.htm#p1-10|patternname=The 25 ten-bit still-lifes}} | * {{LinkNiemiec|p1.htm#p1-10|patternname=The 25 ten-bit still-lifes}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 04:27, 23 July 2022
| Tub with nine | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 10 | ||||||||
| Bounding box | 6 × 6 | ||||||||
| Frequency class | 19.6 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | 1972 | ||||||||
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Prodigal[1] (or tub with nine) is a 10-cell still life, comprised of the normally stable tub with a normally unstable nine attached.
It can be substitutively referred to as the integral with tub, with one pre-block of the integral sign replaced with a tub; however, if using a systematic name, "tub with nine" is usually preferred for this object.
Commonness
- Main article: List of common still lifes
Tub with nine is the sixty-first most common still life in Achim Flammenkamp's census, being less common than very long snake but more common than long shillelagh.[2] It is also the sixty-fifth most common object on Adam P. Goucher's Catagolue.[3]
Compared to Catagolue's typical 16×16 soups, the prodigal is 25% more common in 8×8 soups and 30% more common in 10×10 soups, and it is rarer on a torus.
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
- ↑ Adam P. Goucher (July 18, 2015). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 7, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- Prodigal at Adam P. Goucher's Catagolue
- The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page