Loop

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Loop
x = 5, y = 4, rule = B3/S23 b2o$o2bo$bobo$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 57 ]]
Pattern type Strict still life
Number of cells 10
Bounding box 5 × 4
Frequency class 18.4
Static symmetry n (C1)
Discovered by Unknown
Year of discovery 1972
For other uses of 'Loop', see Loop (disambiguation).

Loop (or curl[1] or long hat[2]) is a 10-cell still life.

It can be interpreted as a hook with an attached hooked tail.

It is the most naturally common still life that can act as a hook with tail catalyst; the period-14 oscillator shown on that page has occurred semi-naturally with a loop more often than with a hook with tail.

Occurrence

See also: List of common still lifes, Most common objects on Catagolue

Loop is the fortieth most common still life in Achim Flammenkamp's census, being less common than scorpion but more common than fourteener.[3]

It is the 41st most common still life on Adam P. Goucher's Catagolue, being less common than twin hat but more common than long snake. It is the 5th most common still life with 10 cells, being less common than beehive with tail but more common than cis-shillelagh.[4]

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.

Loop family

Note that some would argue that the loops are members of the hat family.

References

  1. "Curl". The Life Lexicon. Stephen Silver. Retrieved on June 3, 2009.
  2. "Long hat". The Life Lexicon. Stephen Silver. Retrieved on June 3, 2009.
  3. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.