Twin hat

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Twin hat
x = 9, y = 5, rule = B3/S23 2bo3bo$bobobobo$bobobobo$2obobob2o$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C Still life
Pattern type Strict still life
Number of cells 17
Bounding box 9×5
Frequency class 18.2
Discovered by Unknown
Year of discovery Unknown

Twin hat (or twin peaks, or bi-hat) is a 17-cell still life that roughly consists of a weld of two hats.

Commonness

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] The twin hat is also the forty-eighth most common object on Adam P. Goucher's Catagolue.[2]

It is the most common 17-bit still life, being about 25 times more common than the paperclip with tail. The main reason that the twin hat is so common is because it results from a house predecessor hitting two blinkers arranged like they are on opposite sides of a traffic light, as shown below:

x = 26, y = 7, rule = B3/S23 19bo5bo$3o3b3o10bo5bo$19bo5bo$22bo$3b3o15b3o$2bo2bo$22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 THUMBSIZE 2 WIDTH 800 AUTOSTART LOOP 14 PAUSE 3 ]]
A house predecessor 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:

x = 54, y = 13, rule = B3/S23 46bo$45bobo$bo5bo38b2o$bo5bo12bo26bo$bo5bo11bob2o$20b2o8b3o16b3o$3b3o$ 28bo18bo5bo$28bo18bo5bo$bo26bo18bo5bo$3o$30b3o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 THUMBSIZE 2 WIDTH 800 AUTOSTART LOOP 30 PAUSE 3 ]]
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 20 or fewer cells, as well as all oscillators and spaceships with 16 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

  1. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.

External links