Hat with cape

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Hat with cape
x = 7, y = 4, rule = B3/S23 2b2ob2o$bobobo$o2bobo$2o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 45 ]]
Pattern type Strict still life
Number of cells 13
Bounding box 7 × 4
Frequency class 24.7
Static symmetry n (C1)
Discovered by Unknown
Year of discovery Unknown

Hat with cape is a 13-bit still life.

Construction

Hat with cape is known to be constructible with 5 gliders.[1] A 5-glider synthesis was found in 2014.[2]

x = 32, y = 37, rule = B3/S23 30bo$29bo$29b3o$7bo$8bo$6b3o15$11bo$11b2o$10bobo2$25b2o$25bobo$25bo8$ b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 440 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 LOOP 82 ]]
A 5G synthesis[2]
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x = 34, y = 38, rule = B3/S23 32bo$31bo$31b3o3$10bo$8bobo$9b2o$2bo$obo$b2o3$13bo$14bo$12b3o4$23b2ob 2o$24bobo$24bobo$25bo5$5b2o$4bobo3b2o$6bo2bobo$11bo13b3o$25bo$26bo3$7b 2o$8b2o$7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 LOOP 82 ]]
A 8G conversion from hat[3]
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Occurrence

See also: List of common still lifes, List of still lifes with 13 cells

Hat with cape is the 22nd most common 13-cell still life out of 240.

Two three-glider collisions have an occurrence of hat with cape in the ash.[4]

References

  1. ↑ xs13_17871ac at Adam P. Goucher's Catagolue
  2. ↑ 2.0 2.1 BobShemyakin (December 27, 2014). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  3. ↑ Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-175.rle)
  4. ↑ Collisions converge to a sequence with 6 escaping gliders and final population 308. Headerless RLEs are 65bo$63b2o$64b2o$60bo$61bo$59b3o132$2o$b2o$o! and 6bo$4b2o$5b2o$bo$2bo$3o132$93b2o$92b2o$94bo!