Long integral

Long integral
x = 4, y = 6, rule = B3/S23 2o$obo$2bo$bo$bobo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
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Pattern type	Strict still life
Number of cells	10
Bounding box	6 × 4
Frequency class	20.5
Static symmetry	.k
Discovered by	Unknown
Year of discovery	1972
Rules Outer-totalistic rules B/S23 – B3678/S012345678 # of rules 211 = 2048 Isotropic rules B/S2aek3n – B1e2cin34-k5-q678/S012345678
Glider synthesis Fewest gliders 4 Catagolue-generated RLE synthesis Uploaded synthesis RLE longintegral_synth.rle
Pattern files Plaintext longintegral.cells RLE longintegral.rle
Identifiers apgcode xs10_3542ac Niemiec ID 10.19 Pentadecathlon ID 10.9

Long integral (or S-ten) is a 10-cell still life; it is the long version of the integral sign. Unlike it, it cannot act as a glider eater.

Occurrence

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

Long integral is the seventieth most common still life in Achim Flammenkamp's census, being less common than hook with tail but more common than eleven loop.

It is the 66th most common still life on Adam P. Goucher's Catagolue, being less common than trans-bun and wing but more common than tub with long tail. It is the 10th most common still life with 10 cells, being less common than boat with long tail but more common than claw with tail.

Glider synthesis

Main article: Glider synthesis

All strict still lifes with a population of 22 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.

See also

• Hooked integral

External links

• Long integral at Adam P. Goucher's Catagolue
• Long integral at the Life Lexicon
• The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-19.rle)