Trans-block on long bookend

Trans-block on long bookend
x = 5, y = 6, rule = B3/S23 2o$2o2$4o$o3bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
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Pattern type	Strict still life
Number of cells	12
Bounding box	6 × 5
Frequency class	19.5
Static symmetry	n
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/S2-cn3anr – B2ikn34-ain5-qr678/S012345678
Glider synthesis Fewest gliders 4 Catagolue-generated RLE synthesis Uploaded synthesis RLE transblockonlongbookend_synth.rle
Pattern files Plaintext transblockonlongbookend.cells RLE transblockonlongbookend.rle
Identifiers apgcode xs12_330fho Niemiec ID 12.29 Pentadecathlon ID 12.4

Trans-block on long bookend is a 12-cell still life composed of a long bookend and a block.

Commonness

Main article: List of common still lifes

Trans-block on long bookend is the fifty-first most common still life in Achim Flammenkamp's census, being less common than cis-rotated bookend but more common than cis-shillelagh.

It is the 53rd most common still life on Adam P. Goucher's Catagolue, being less common than trans-mirrored bun but more common than prodigal. It is the 4th most common still life with 12 cells, being less common than block on cap but more common than eater head siamese eater tail.

There are 6 collisions in the octohash database and 36 collisions in the octo3obj database with this still life present in the ash.

Construction

Four gliders suffice to construct this still life. Several known alternate syntheses are available in Mark Niemiec's database.

x = 31, y = 23, rule = B3/S23 10bo$9bo$9b3o7$obo26b2o$b2o23bo3bo$bo24b4o2$26b2o$26b2o3$2b3o$4bo$3bo$ 14bo$13b2o$13bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 2 T 34 PAUSE 1 LOOP 35 ]] A 4G synthesis (click above to open LifeViewer)

x = 35, y = 35, rule = B3/S23 bo13bo$2bo11bo$3o11b3o3$7bo$8bo$6b3o3$8bo$8bobo$8b2o8$29b2o$29bobo$29b o10$32b2o$32bobo$32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y -6 AUTOSTART GPS 12 T 0 PAUSE 2 T 47 PAUSE 1 T 70 PAUSE 1 T 81 PAUSE 1 LOOP 82 ]] A three-stage 6G synthesis described below (click above to open LifeViewer)

Out of six collisions in the octohash database with final pattern containing the still life, one collision can be cleaned with another glider to give a two-glider seed; the seed constellation itself can be constructed with four gliders, leading to a three-stage 6-glider synthesis.

See also

• Cis-block on long bookend

External links

• Trans-block on long bookend at Adam P. Goucher's Catagolue
• 12.4 at Heinrich Koenig's Game of Life Object Catalogs