Difference between revisions of "Twin hat"
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|rulemax = B378/S012345678 | |rulemax = B378/S012345678 | ||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |rulespecial = [[Conway's Game of Life|Conway Life]] | ||
|synthesis = | |isorulemin = B/S2-n3r | ||
|isorulemax = B2ikn34-ai5-y6-i78/S012345678 | |||
|synthesis = 4 | |||
|synthesisRLE = true | |synthesisRLE = true | ||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
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|niemiecid = 17.242 | |niemiecid = 17.242 | ||
|pentadecathlonid = 17.7483 | |pentadecathlonid = 17.7483 | ||
|viewerconfig = #C [[ ZOOM 48 ]] | |||
}} | }} | ||
'''Twin hat''' (or '''twin peaks''', or '''bi-hat''') is a | '''Twin hat''' (or '''twin peaks''', or '''bi-hat''') is a {{slcells|17|text=17-cell}} [[still life]] that roughly consists of a [[weld]] of two [[hat]]s. | ||
== | == Occurrence == | ||
Twin hat is the thirty-sixth most common still life in [[Achim Flammenkamp's census]], being less common than [[block | {{related|List of common still lifes}} | ||
Twin hat is the thirty-sixth most common still life in [[Achim Flammenkamp's census]], being less common than [[block on dock]] but more common than [[beehive on dock]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> | |||
It is the 41st most common still life on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[beehive with tail]] but more common than [[loop]].<ref name="stats">{{citeCatagolueStats|May 5, 2023}}</ref> | |||
==References== | It is the most common 17-bit still life, being about 25 times more common than the [[paperclip with tail]].<ref name="stats" /> The main reason that the twin hat is so common is because it results from a [[pi heptomino]] hitting two blinkers arranged like they are on opposite sides of a traffic light, as shown below: | ||
{{EmbedViewer | |||
|pname = twinhatgenerators1 | |||
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 800 GPS 2 AUTOSTART T 0 PAUSE 3 LOOP 15 ]] | |||
|position = center | |||
|caption = A pi hitting two blinkers | |||
|style = width:300px; | |||
}} | |||
This setup can occur if a traffic light has one blinker destroyed, then the blinker on the opposite side is hit by a variety of objects: | |||
{{EmbedViewer | |||
|pname = twinhatgenerators2 | |||
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 800 GPS 4 AUTOSTART T 0 PAUSE 3 LOOP 30 ]] | |||
|position = center | |||
|caption = The blinker hit by a variety of objects | |||
|style = width:300px; | |||
}} | |||
== Glider synthesis == | |||
{{Small constructible periodic object}} | |||
== See also == | |||
* [[Sesquihat]] | |||
== References == | |||
<references /> | <references /> | ||
==External links== | == External links == | ||
* {{LinkLexicon|lex_t.htm#twinhat}} | |||
{{LinkLexicon|lex_t.htm#twinhat}} | * {{LinkCatagolue|xs17_2ege1ege2}} | ||
{{LinkCatagolue|xs17_2ege1ege2}} | * {{LinkNiemiec|p1-17.htm|The 7773 seventeen-bit still-lifes|rle=17/17-242.rle}} | ||
{{LinkNiemiec|p1-17.htm| | |||
{{Symmetry|orthogonal2}} | {{Symmetry|orthogonal2}} | ||
__NOTOC__ | __NOTOC__ |
Latest revision as of 14:09, 9 August 2023
Twin hat | |||||||||
View static image | |||||||||
Pattern type | Strict still life | ||||||||
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Number of cells | 17 | ||||||||
Bounding box | 9 × 5 | ||||||||
Frequency class | 18.2 | ||||||||
Discovered by | Unknown | ||||||||
Year of discovery | Unknown | ||||||||
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Twin hat (or twin peaks, or bi-hat) is a 17-cell still life that roughly consists of a weld of two hats.
Occurrence
- See also: List of common still lifes
Twin hat is the thirty-sixth most common still life in Achim Flammenkamp's census, being less common than block on dock but more common than beehive on dock.[1]
It is the 41st most common still life on Adam P. Goucher's Catagolue, being less common than beehive with tail but more common than loop.[2]
It is the most common 17-bit still life, being about 25 times more common than the paperclip with tail.[2] The main reason that the twin hat is so common is because it results from a pi heptomino hitting two blinkers arranged like they are on opposite sides of a traffic light, as shown below:
A pi hitting two blinkers (click above to open LifeViewer) RLE: here Plaintext: here |
This setup can occur if a traffic light has one blinker destroyed, then the blinker on the opposite side is hit by a variety of objects:
The blinker hit by a variety of objects (click above to open LifeViewer) RLE: here Plaintext: here |
Glider synthesis
All strict still lifes with a population of 21 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 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 January 15, 2009.
- ↑ 2.0 2.1 Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
External links
- Twin hat at the Life Lexicon
- Twin hat at Adam P. Goucher's Catagolue
- The 7773 seventeen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 17/17-242.rle)