Hook with tail

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Hook with tail
x = 5, y = 4, rule = B3/S23 obo$2obo$3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C Still life
Pattern type Strict still life
Number of cells 8
Bounding box 5×4
Frequency class 20.5
Discovered by Unknown
Year of discovery 1971

Hook with tail (or snake eater) is an 8-cell still life. Despite it being reported on Lifeline early on,[1] it was for a long time the smallest still life without a well-established name. It can act as a rock in two ways, one using the tail like snake, the other using the hook as shown below in Gallery.

This still life is comprised of the normally unstable hook with a normally unstable tail attached.

Commonness

Hook with tail is the sixty-ninth most common still life in Achim Flammenkamp's census, being less common than loaf siamese loaf but more common than long integral[2] It is also the eightieth most common object on Adam P. Goucher's Catagolue, making it the rarest of the 8-bit still lifes.[3]

Glider synthesis

On April 29, 2007 Dean Hickerson found a 4-glider synthesis of this still life.[4]

Hook with tail family

Longhookwithtail.png
Cisverylonghookwithtail.png
Transverylonghookwithtail.png
Long hook with tail
Cis-very long hook with tail
Trans-very long hook with tail
Cislong3hookwithtail.png
Translong3hookwithtail.png
Cislong4hookwithtail.png
Translong4hookwithtail.png
Cis-long^3 hook with tail
Trans-long^3 hook with tail
Cis-long^4 hook with tail
Trans-long^4 hook with tail

Gallery

x = 21, y = 21, rule = B3/S23 12b2o$12bo$9b2obo$9bobo3$10bo$o8bob2o$3o4bo$3bo3bo5bo3b2o$2bo3bo7bo3bo $2b2o3bo5bo3bo$13bo4b3o$8b2obo8bo$10bo3$9bobo$8bob2o$8bo$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 500 HEIGHT 500 ZOOM 16 GPS 7 ]]
An example of the hook with tail being used as a rock
in a period-14 oscillator found by Matthias Merzenich in 2014
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. Robert Wainwright (September 1971). Lifeline, vol 3, page 2.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 8, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  4. Dean Hickerson's 2, 3, and 4-glider syntheses pattern collection

External links