Claw at claw

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Claw at claw
x = 6, y = 6, rule = B3/S23 4b2o$2bo2bo$bob2o$2bo$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
Pattern type Strict still life
Number of cells 12
Bounding box 6 × 6
Frequency class 22.8
Static symmetry /
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Claw at claw or inverted double claw[1] is a 12-cell still life.

Construction

x = 23, y = 19, rule = B3/S23 obo$b2o$bo5$19bo$9b3o6b2o$11bo6bobo$10bo5$b2o$obo18bo$2bo17b2o$20bobo! #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 53 PAUSE 2 LOOP 54 ]]
A 5G synthesis[1]
(click above to open LifeViewer)

The claw at claw is the most common 12-cell still life without a known 4-glider synthesis. The cheapest known recipe requires five gliders.[1] Alternate syntheses can be found in Mark Niemiec's database.[2]

Commonness

It is the 116th most common still life on Adam P. Goucher's Catagolue, being less common than trans-bun bridge loaf but more common than big S with tub. It is the 16th most common still life with 12 cells, being less common than trans-mango with tail but more common than ship tie snake.

In diagonal symmetries, including 8-fold symmetries, it is much more common, becoming the third or fourth (depending on the specific symmetry) most common 12-cell still life.

This still life occurs in final patterns of two collisions in the octo3obj database; both collisions are shown below.

x = 47, y = 33, rule = B3/S23 24bo$24bobo$24b2o7$6bo$6bo$6bo$o$o$o2$6b2o$5bo2bo$6b2o30b2ob2o$38b2ob 2o2$44b2o$37b2ob2o2b2o$37b2ob2o2$45b2o$45b2o4$41bo$40b2o$40bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 6 X 8 Y 6 AUTOSTART GPS 24 T 0 PAUSE 3 T 317 PAUSE 2 LOOP 318 ]]
The two collisions from the octo3obj database with claw at claw in the ash
(click above to open LifeViewer)

Formation

The two collisions and the 5G synthesis shown above have the claw at claw form by modifying a bakery:

x = 52, y = 17, rule = B3/S23 3bo$2bo$3bo$7b3o17b3o17b3o$3o4bo2bo16bo2bo16bo2bo$2bo4bo3bo15bo3bo15bo 3bo$bo6bobo17bobo17bobo$9bo11bo7bo19bo$19b2ob2o$21bo2$27bob2o18b3o$26b 2ob2o15b2ob3o$26b2ob2o15b2o$28bo15bo2bo$44bobo$45bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 1 Y 0 AUTOSTART GPS 6 T 0 PAUSE 5 T 24 PAUSE 1 LOOP 25 ]]
(click above to open LifeViewer)

See also

References

External links