Twin hat
| Twin hat | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 17 | ||||||||
| Bounding box | 9 × 5 | ||||||||
| Frequency class | 18.2 | ||||||||
| Static symmetry | -c | ||||||||
| 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 22 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)