Broken elevener

Broken elevener
x = 7, y = 6, rule = B3/S23 obo$2obo$3bo$3b3o$6bo$5b2o! #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	6 × 7
Frequency class	26.3
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-in3nr – B2ikn34-jnr5-aq678/S012345678
Glider synthesis Fewest gliders 5 Catagolue-generated RLE synthesis
Pattern files Plaintext brokenelevener.cells RLE brokenelevener.rle
Identifiers apgcode xs12_5b8ozx123 Niemiec ID 12.110 Pentadecathlon ID 12.56

The broken elevener is a 12-cell still life.

Glider synthesis

For several months, the broken elevener was the most common 12-cell still life without a known 5-glider synthesis, with the cheapest known recipe requiring 6 gliders. A 5-glider synthesis was found on March 1, 2023.

x = 47, y = 48, rule = B3/S23 3bo$4bo$2b3o5$3bobo$4b2o$4bo9$40b2o$40bo$41b3o$43bo$43bob2o$44bobo7$ 10b2o$9bobo$11bo3$22b3o$22bo$23bo8$bo$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 44 PAUSE 1 T 121 PAUSE 2 LOOP 122 ]] A 5G synthesis (click above to open LifeViewer)

x = 26, y = 18, rule = B3/S23 2bobo5bo$3b2o4bo$3bo5b3o7$2o16bo$b2o14b2o$o16bobo3$23b3o$6bo16bo$6b2o16bo$5bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 25 PAUSE 1 T 38 PAUSE 2 LOOP 39 ]] A two-stage 6G synthesis (click above to open LifeViewer)

x = 34, y = 15, rule = B3/S23 9bo$9bobo$9b2o$5bo$3bobo$4b2o3$28b2o$8b2o19bo$8bo19bo$9b3o17b3o$2o9bo19bo$b2o8bobo17bobo$o11b2o18b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 2 AUTOSTART GPS 12 T 0 PAUSE 3 T 15 PAUSE 2 LOOP 16 ]] 3 gliders suffice to convert an elevener into this still life (click above to open LifeViewer)

Occurrence

Among still lifes with 12 cells, this is the 29th 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.

External links

• Broken elevener at Adam P. Goucher's Catagolue
• 12.56 at Heinrich Koenig's Game of Life Object Catalogs