Prodigal: Difference between revisions
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{{Stilllife | {{Stilllife | ||
|name = | |name = Prodigal | ||
|pname = | |pname = tubwithnine | ||
|c = 10 | |c = 10 | ||
|bx = 6 | |bx = 6 | ||
|by = 6 | |by = 6 | ||
|fc = 19.6 | |fc = 19.6 | ||
|symmetry = n | |||
|discoveryear = 1972 | |||
|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3678/S012345678 | |rulemax = B3678/S012345678 | ||
| Line 11: | Line 13: | ||
|isorulemin = B/S2-n3cn | |isorulemin = B/S2-n3cn | ||
|isorulemax = B2-ae34-ejn5-q678/S012345678 | |isorulemax = B2-ae34-ejn5-q678/S012345678 | ||
|synthesis = | |synthesis = 4 | ||
|synthesisRLE = true | |synthesisRLE = true | ||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
| Line 20: | Line 20: | ||
|niemiecid = 10.17 | |niemiecid = 10.17 | ||
|pentadecathlonid = 10.12 | |pentadecathlonid = 10.12 | ||
|viewerconfig = [[ ZOOM 42 ]] | |||
}} | }} | ||
''' | '''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. | |||
== | == Occurrence == | ||
{{related|List of common still lifes|Most common objects on Catagolue}} | |||
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> | |||
==References== | It is the 54th [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[trans-block on long bookend]] but more common than [[broken snake]]. It is the 7th most common still life with 10 cells, being less common than [[cis-shillelagh]] but more common than [[broken snake]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref> | ||
<references/> | |||
Compared to Catagolue's typical {{times|16|16}} soups, the prodigal is 25% more common in {{times|8|8}} soups and 30% more common in {{times|10|10}} soups, and it is rarer on a [[torus]]. | |||
== Glider synthesis == | |||
{{main|Glider synthesis}} | |||
{{Small constructible periodic object}} | |||
== See also == | |||
* [[Hooked integral]] | |||
* [[Long integral]] | |||
== References == | |||
<references> | |||
<ref name="post21243">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Thread For Your Useless Discoveries | |||
|p = 21243 | |||
|author = Adam P. Goucher | |||
|date = July 18, 2015 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkCatagolue|xs10_g0s252z11|patternname=Prodigal}} | |||
* {{LinkNiemiec|p1.htm#p1-10|The 25 ten-bit still-lifes|rle=10/10-17.rle}} | |||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 10:37, 27 August 2024
| Prodigal | |||||||||
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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 | n (C1) | ||||||||
| 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.
Occurrence
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 the 54th most common still life on Adam P. Goucher's Catagolue, being less common than trans-block on long bookend but more common than broken snake. It is the 7th most common still life with 10 cells, being less common than cis-shillelagh but more common than broken snake.[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
- 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
- ↑ 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 May 5, 2023.
External links
- Prodigal at Adam P. Goucher's Catagolue
- The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-17.rle)
Categories:
- Patterns
- Patterns with Catagolue frequency class 19
- 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 n symmetry