Cis-very long hook with nine

Cis-very long hook with nine
x = 7, y = 5, rule = B3/S23 3bo$2bobo$bo2bo$o3bobo$2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
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Pattern type	Strict still life
Number of cells	12
Bounding box	7 × 5
Frequency class	32.1
Static symmetry	Unspecified
Discovered by	Robert Wainwright Everett Boyer
Year of discovery	1973
Rules Outer-totalistic rules B/S23 – B3678/S012345678 # of rules 211 = 2048 Isotropic rules B/S23n – B2ikn34-jnr5-q678/S012345678
Glider synthesis Fewest gliders 5 Catagolue-generated RLE synthesis
Pattern files Plaintext cisverylonghookwithnine.cells RLE cisverylonghookwithnine.rle
Identifiers apgcode xs12_31eg853 Niemiec ID 12.41 Pentadecathlon ID 12.22

Cis-very long hook with nine or integral with cis-hook is a 12-cell still life.

Construction

This still life is known to be constructible with 5 gliders. A 7-glider synthesis was found in March 2021. A 6-glider synthesis was found in July 2022. A 5-glider synthesis was found in March 2023. Some known syntheses can be found in Mark Niemiec's database.

x = 37, y = 28, rule = B3/S23 23bo$23bobo$23b2o4$25bo$23b2o$24b2o4$7bo$5bobo$6b2o22b2o3b2o$30bobo3bo $32bo2bo$32bobo$33bo3$bo$b2o$obo2$19b3o$19bo$20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 380 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 41 PAUSE 2 LOOP 42 ]] A 5G synthesis (click above to open LifeViewer)

x = 46, y = 39, rule = B3/S23 3bobo$4b2o$4bo2$o$b2o$2o4$15bobo$16b2o$16bo10$39b2o3b2o$39bobo3bo$16b 3o22bo2bo$18bo22bobo$17bo24bo5$16b3o$18bo$17bo3$9b2o$8bobo$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 60 PAUSE 2 LOOP 61 ]] A 6G synthesis (click above to open LifeViewer)

x = 39, y = 35, rule = B3/S23 10bobo$11b2o21bo$11bo22bobo$8bo25b2o$6bobo$7b2o2$20bo$19bo$19b3o2$32b 2o3b2o$32bobo3bo$34bo2bo$34bobo$35bo10$26b2o$25b2o$27bo2$29bo$28b2o$ 28bobo$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 380 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 65 PAUSE 2 LOOP 66 ]] A 7G synthesis (click above to open LifeViewer)

x = 63, y = 73, rule = B3/S23 4bo$5bo$3b3o22$16bo$17bo$15b3o4$27bo$28bo$26b3o2$49b2o3b2o$42bo6bobo3b o$40b2o9bo2bo$41b2o8bobo$52bo5$12bo$12b2o13bo$11bobo13b2o$26bobo10$57b 3o$57bo$58bo3$60b2o$60bobo$60bo5$60b3o$60bo$b2o58bo$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 64 PAUSE 1 T 116 PAUSE 2 LOOP 117 ]] A 10G synthesis (click above to open LifeViewer)

Occurrence

See also: List of common still lifes, List of still lifes with 12 cells

Among the 121 still lifes with 12 cells, this is the 87th most common still life according to Catagolue.

There are no collisions in octohash, octo3obj or octo3g databases with this still life occurring in the ash.

Isomers

This still life is comprised of the normally unstable very long hook with a normally unstable nine attached. This is one of two possible isomers, named cis due to the corner part of the hook being closer to the nine; the other isomer, trans-very long hook with nine, has this corner part slightly farther.

Unlike the trans-version, the cis-very long hook with nine is the smallest way in which a hook of a given length can have a nine attached to it - shrinking the length of the hook would result in unwanted births and as such the configuration would no longer be a still life.

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

External links

• Integral with cis-hook at Adam P. Goucher's Catagolue
• The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-41.rle)
• 12.22 at Heinrich Koenig's Game of Life Object Catalogs