Hooked integral

From LifeWiki
Revision as of 08:08, 25 October 2022 by Confocal (talk | contribs) (expand // the previous page name is currently linked from https://catagolue.hatsya.com/object/xs12_0ggm93z32/b3s23 which is a different still life)
Jump to navigation Jump to search
Hooked integral
x = 6, y = 5, rule = B3/S23 obo$2obo$3bo$3bobo$4b2o! #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 6 × 5
Frequency class 23.9
Static symmetry Unspecified
Discovered by Unknown
Year of discovery 1972

Hooked integral or integral with hook[1] is a 10-cell still life. This still life is comprised of the normally unstable hook with a normally unstable nine attached.

It can be substitutively referred to as the integral with hook, with one pre-block of the integral sign replaced with a hook, however "hook with nine" is usually preferred for this object.

Glider synthesis

Cheapest known syntheses of this still life use five gliders.[1] Several alternate syntheses can be found in Mark Niemiec's database.[2]

x = 59, y = 17, rule = B3/S23 23bo$23bobo16bo$23b2o17bobo8b2o$2bo39b2o9bobo$obo52bo$b2o52bob2o$56bob o$28b3o$7b3o20bo$9bo19bo$8bo29b2o$19b2o4b2o11bobo$4b2o13bobo4b2o10bo$ 5b2o12bo5bo$4bo29b3o$34bo$35bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 AUTOSTART GPS 12 T 0 PAUSE 3 T 31 PAUSE 2 LOOP 32 ]]
5G syntheses[2]
(click above to open LifeViewer)

Occurrence

Main article: List of common still lifes

It is the 165th most common still life on Adam P. Goucher's Catagolue. Among 10-cell still lifes, it ranks 18th out of 25.

The octo3obj database contains three collisions with an occurrence of this still life in the ash.[3]

See also

References

  1. 1.0 1.1 xs10_31eg8o at Adam P. Goucher's Catagolue
  2. 2.0 2.1 The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-13.rle)
  3. Headerless RLEs of the collisions are:
    b2o$o2bo$b2o$8b3o2$4bo$3bobo$3bobo$4bo2b2o$7bobo$7bo!
    b2o6b2o$b2o6b2o3$2b2o4b2o$2b2o4b2o3$2o6b2o$2o2b2ob2o$4b2o3bo!
    12b2o$11b2o$8b2o3bo$4b2o2b2o$4b2o$2o6b2o$2o2b2o2b2o$4b2o2$b2o$b2o!

External links