Trans-long³ hook with tail

Trans-long3 hook with tail
x = 8, y = 5, rule = B3/S23 5bo$4bobo$3bo2bo$obo3b2o$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	11
Bounding box	5 × 8
Frequency class	32.0
Static symmetry	Unspecified
Discovered by	Unknown
Year of discovery	Unknown
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 translong3hookwithtail.cells RLE translong3hookwithtail.rle
Identifiers apgcode xs11_03ia4z65 Niemiec ID 11.13 Pentadecathlon ID 11.15

Trans-long³ hook with tail is an 11-cell still life.

Construction

This still life is known to be constructible with 6 gliders. Some known syntheses can be found in Mark Niemiec's database. A 6-glider synthesis was found by Goldtiger997 in March 2021, and a 5-glider synthesis was discovered in March 2023.

x = 41, y = 22, rule = B3/S23 27bo$26bo5bo$26b3o2bo$31b3o2$20bo$19bo$19b3o2$39b2o$33b2o3bobo$34bo2bo $34bobo$35bo5$2o$b2o2b2o22b2o$o3bobo22bobo$6bo22bo! #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 1 T 20 PAUSE 3 T 36 PAUSE 2 LOOP 37 ]] A 6G synthesis (click above to open LifeViewer)

x = 39, y = 30, rule = B3/S23 16bo$14b2o$15b2o4$31bo$31bobo$31b2o6$37b2o$31b2o3bobo$32bo2bo$32bobo$ 26b2o5bo$26bobo$b2o23bo$obo9b3o$2bo11bo$13bo$4b2o$3bobo$5bo$21bo$20b2o$20bobo! #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 1 T 20 PAUSE 3 T 43 PAUSE 2 LOOP 44 ]] A 7G synthesis (click above to open LifeViewer)

Occurrence

It is the third rarest 11-cell still life out of 46. It is 20 times as rare as the trans-very long hook with tail and 16 times as common as the trans-long⁴ hook with tail.

This still life does not occur in final patterns of collisions in octohash, octo3obj or octo3g databases.

Isomers

This still life is comprised of the normally unstable long³ hook with a normally unstable tail attached. This is one of two possible isomers, named trans due to the corner part of the hook being farther from the tail; the other isomer, cis-long³ hook with tail, has this corner part slightly closer.

See also

• Hook with tail#Hook with tail family

External links

• Trans-long³ hook with tail at Adam P. Goucher's Catagolue
• The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-13.rle)
• 11.15 at Heinrich Koenig's Game of Life Object Catalogs