Paperclip

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Paperclip
x = 5, y = 6, rule = B3/S23 2b2o$bo2bo$bob2o$2obo$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 42 ]]
Pattern type Strict still life
Number of cells 14
Bounding box 6 × 5
Frequency class 12.8
Discovered by Unknown
Year of discovery Unknown

Paperclip (or drain trap[1] or S[2]) is a 14-bit still life.

It contains a photonegative Z-hexomino.

Occurrence

See also: List of common still lifes

Paperclip is the sixteenth most common still life in both Achim Flammenkamp's census and Catagolue's census, being less common than aircraft carrier but more common than long ship in both.[3]. Among all still lifes with 14 cells, it is the second most common, being less common than half-bakery but more common than big S.[4] It is also the twenty-second most common object overall on Catagolue.

Because it usually forms from specific predecessors, the difference in frequency in asymmetric soups compared to C2_2 (the symmetry the object has) is small, although not negligible.

Use in oscillators

Two paperclips can form an extensible period-2 oscillator (Paperclip at paperclip p2).

x = 10, y = 10, rule = B3/S23 b2o$o2bo$2obo$bob2o$bo$2b2o2bo$4bob3o$4bo4bo$5b3obo$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 WIDTH 600 THUMBSIZE 2 ZOOM 35 AUTOSTART GPS 4 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

There is also a p32 Lumps of muck hassler and a p77 Honey farm hassler that forms a temporary paperclip in the middle.

Glider synthesis

All strict still lifes with a population of 21 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.

In other rules

In rules that support the object but not its predecessors, such as HighLife, it is much less common.

See also

References

  1. "Drain trap". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
  2. "S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 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.

External links