Trans-very long hook with nine

Trans-very long hook with nine
x = 8, y = 5, rule = B3/S23 4bo$3bobo$obo2bo$2o3bobo$6b2o! #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	8 × 5
Frequency class	29.5
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 6 Catagolue-generated RLE synthesis
Pattern files Plaintext transverylonghookwithnine.cells RLE transverylonghookwithnine.rle
Identifiers apgcode xs12_31eg8426 Niemiec ID 12.40 Pentadecathlon ID 12.39

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

Construction

A 6-glider synthesis of this still life was found in March 2021. Several known syntheses can be found in Mark Niemiec's database.

x = 74, y = 51, rule = B3/S23 49bo$49bobo$49b2o2$34bo$32bobo$33b2o6$43bo$41bobo$42b2o3bo$46bo$46b3o 20$2o$b2o$o10$71b3o$71bo$72bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 8 X 0 Y -8 AUTOSTART GPS 12 T 0 PAUSE 3 T 28 PAUSE 1 T 37 PAUSE 1 T 169 PAUSE 1 T 170 PAUSE 2 LOOP 171 ]] A 6G synthesis (click above to open LifeViewer)

x = 38, y = 32, rule = B3/S23 bo$2bo$3o2$20bo$18b2o$19b2o3$obo$b2o8bo$bo7bobo9bo$10b2o7b2o$20b2o2$30b2o$30bobo3b2o$32bo2bobo$23b2o7bobo$23bobo7bo$9b2o12bo$8bobo$10bo7$18b3o$18bo$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 15 PAUSE 1 T 37 PAUSE 2 LOOP 38 ]] A 8G synthesis (click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 60th most common still life according to Catagolue.

There are no occurrences of this still life in final patterns of collisions in octohash, octo3obj or octo3g databases.

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 trans due to the corner part of the hook being farther from the nine; the other isomer, cis-very long hook with nine, has this corner part slightly closer.

Unlike the cis-version, the trans-very long hook with nine can be shrunk down to two smaller still lifes: the long hook with nine and hooked integral. Due to the trans version being the only one which can be shrunk, these two do not have cis-trans prefixes.

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

External links

• Integral with very long hook at Adam P. Goucher's Catagolue
• 12.39 at Heinrich Koenig's Game of Life Object Catalogs