Inflexion

Inflexion
x = 7, y = 4, rule = B3/S23 2o2bo$o2bobo$bobo2bo$2bo2b2o! #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 × 4
Frequency class	34.1
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-i3n – B2cin34-jry5678/S012345678
Glider synthesis Fewest gliders 6 Catagolue-generated RLE synthesis
Pattern files Plaintext inflexion.cells RLE inflexion.rle
Identifiers apgcode xs12_35861ac Niemiec ID 12.95 Pentadecathlon ID 12.21

The inflexion is a 12-cell still life.

Construction

This still life is known to be constructible with 6 gliders.

x = 45, y = 27, rule = B3/S23 20bo$20bobo$20b2o$24bo$2bo21bobo$obo21b2o$b2o3$38b2o2bo$38bo2bobo$39b obo2bo$40bo2b2o8$4b3o$6bo$5bo$20b2o$20bobo3b2o$20bo4b2o$27bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 45 PAUSE 2 LOOP 46 ]] A 6G synthesis (click above to open LifeViewer)

x = 123, y = 124, rule = B3/S23 122bo$120b2o$121b2o2$2bo$obo$b2o59$71b2o2bo$71bo2bobo$72bobo2bo$40bobo 4bo25bo2b2o$41b2o5bo$41bo4b3o5$43b2o$42bobo$44bo17$52b3o$52bo$53bo25$ 119b2o$119bobo$119bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 X -6 Y 8 AUTOSTART GPS 12 T 0 PAUSE 3 T 202 PAUSE 1 T 241 PAUSE 2 LOOP 242 ]] A 7G synthesis (the first stage is 4G snake with feather found in 2017) (click above to open LifeViewer)

x = 46, y = 91, rule = B3/S23 9bo$10b2o$9b2o17bo$28bobo$28b2o7bo$7bo27b2o$5bobo28b2o$6b2o2$28bobo$ 28b2o$29bo4$39b2o2bo$39bo2bobo$40bobo2bo$13b2o26bo2b2o$12bobo$14bo4$ 39b3o$34b2o3bo$34bobo3bo$34bo5$10bo$11bo12bobo$9b3o12b2o$25bo$34bo$8bo 24bo$9bo4bo18b3o$7b3o5b2o$14b2o5$39b2o2bo$39bo2bobo$40bobo2bo$41bo2b2o 3$10bo27bo$10b2o25b2o$9bobo20b2o3bobo$31b2o$33bo4$o$b2o$2o3$20bo$18bob o16bo$19b2o15bo$36b3o3$32bobo$32b2o$7bo25bo$7b2o5b3o$6bobo5bo$15bo23b 2o2bo$39bo2bobo$40bobo2bo$41bo2b2o4$13b3o$15bo$14bo4$19b3o$21bo$20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 1000 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 10 PAUSE 1 T 39 PAUSE 1 T 40 PAUSE 3 LOOP 41 ]] Three 8G syntheses (click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 107th 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

• Inflexion at Adam P. Goucher's Catagolue
• 12.21 at Heinrich Koenig's Game of Life Object Catalogs