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 ]]
Pattern type Strict still life
Number of cells 10
Bounding box 5 × 4
Frequency class 18.4
Static symmetry Unspecified
Discovered by Unknown
Year of discovery 1972
This article is about the 10-cell still life. For an oscillator where a series of reflectors reflect spaceships cyclically, see Glider loop.

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 but not with a hook with tail.

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 also the forty-ninth most common object on Adam P. Goucher's Catagolue.[4]

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.

Hat
Eleven loop
Twelve loop
Thirteen loop
Snorkel loop


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 June 24, 2016.