Cis-long⁴ hook with tail

Cis-long4 hook with tail
x = 8, y = 7, rule = B3/S23 5bo$4bobo$3bo2bo$2bo3b2o$bo$o$2o! #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 × 7
Frequency class	31.8
Static symmetry	Unspecified
Discovered by	Robert Wainwright Everett Boyer
Year of discovery	1973
Rules Outer-totalistic rules B/S23 – B35678/S012345678 # of rules 212 = 4096 Isotropic rules B/S2-i3nr – B2ikn34-ajnr5678/S012345678
Glider synthesis Fewest gliders 5 Catagolue-generated RLE synthesis
Pattern files Plaintext cislong4hookwithtail.cells RLE cislong4hookwithtail.rle
Identifiers apgcode xs12_4ai3zx1246 Niemiec ID 12.37 Pentadecathlon ID 12.71

Cis-long⁴ hook with tail is a 12-cell still life.

Construction

This still life is known to be constructible with 5 gliders. A 5-glider synthesis was found and submitted to Catagolue by Carson Cheng in April 2022. Some known alternate syntheses can be found in Mark Niemiec's database.

x = 34, y = 20, rule = B3/S23 bo$2bo$3o5$11bo$10bo$10b3o19b2o$33bo$32bo$26b2o3bo$18b2o7bo2bo$17b2o8bobo$19bo8bo$13b2o$2b3o8bobo$4bo8bo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 27 PAUSE 2 LOOP 28 ]] A 5G synthesis (click above to open LifeViewer)

x = 41, y = 22, rule = B3/S23 7bo$8bo$6b3o2$13bo$14b2o$13b2o$4bobo16bo$5b2o15b2o$5bo16bobo$39b2o$16bo23bo$15bo23bo$15b3o15b2o3bo$11b2o21bo2bo$10bobo21bobo$12bo22bo3$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 10 PAUSE 1 T 30 PAUSE 2 LOOP 31 ]] A 7G synthesis (click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 85th 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 long⁴ hook with a normally unstable tail attached. This is one of two possible isomers, named cis due to the corner part of the hook being closer to the tail; the other isomer, trans-long⁴ hook with tail, has this corner part slightly farther.

See also

• Hook with tail#Hook with tail family

External links

• Cis-long⁴ hook with tail at Adam P. Goucher's Catagolue
• 12.71 at Heinrich Koenig's Game of Life Object Catalogs