Tapeworm

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Tapeworm
x = 7, y = 5, rule = B3/S23 ob2o$2obo$3bob2o$3bo2bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 13
Bounding box 7 × 5
Frequency class 22.3
Static symmetry n (C1)
Discovered by Unknown
Year of discovery Unknown

Tapeworm (or snake with curl) is a 13-cell still life. Despite being particularly common, this still life did not have a name until 2019, when the two aforementioned names were mentioned in its Catagolue comment section.[1]

Construction

Tapeworm is known to be constructible with 4 gliders.[1] Several known syntheses can be found in Mark Niemiec's database.[2] A 4-glider synthesis was found in August 2017.[3]

x = 40, y = 17, rule = B3/S23 2bo$obo$b2o3$29bo$28bo$28b3o6$37bobo$26b3o8b2o$26bo11bo$27bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 470 THEME Book ZOOM 12 Y 5 AUTOSTART GPS 14 T 0 PAUSE 1 LOOP 113 ]]
A 4G synthesis[3]
(click above to open LifeViewer)
x = 26, y = 25, rule = B3/S23 bo$2bo$3o20bobo$23b2o$24bo3$19bo$18bo$18b3o6$23b3o$23bo$24bo5$20bo$19b 2o$19bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 14 AUTOSTART GPS 12 T 0 PAUSE 1 LOOP 64 ]]
A 5G synthesis[2][4]
(click above to open LifeViewer)

Occurrence

See also: List of common still lifes

It is the 102nd most common still life on Adam P. Goucher's Catagolue, being less common than cis-boat with nine but more common than loaf back tie loaf. It is the 6th most common still life with 14 cells, being less common than cis-boat on cap but more common than boat with hooked nine.

The octo3obj database contains four collisions with tapeworm in the ash.[5]

See also

References

  1. ↑ 1.0 1.1 xs13_321fgkc at Adam P. Goucher's Catagolue
  2. ↑ 2.0 2.1 The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-198.rle)
  3. ↑ 3.0 3.1 Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  4. ↑ Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  5. ↑ One collision (headerless RLE 2o$2o2b2o$4b2o6$2bo6b2o$2bo6b2o$2bo$4b3o$4bo$5bo!) has final population 278 with 6 escaping gliders. Three other collisions converge to sequence 10b3o$9bo3bo$3o5bo5bo$8bo5bo$8bo5bo$9bo3bo$10b3o3$8bo$8bo$8bo! with 11 escaping gliders and final population 589.