Claw with tail

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Claw with tail
x = 6, y = 5, rule = B3/S23 2o$bo$bob2o$2bo2bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 10
Bounding box 6 × 5
Frequency class 20.9
Discovered by Unknown
Year of discovery 1972

Claw with tail (or great snake eater) is a 10-cell still life.

Construction

Claw with tail can be constructed with 4 gliders.[1] Several known syntheses can be found in Mark Niemiec's database.[2]

x = 38, y = 71, rule = B3/S23 bo$2bo$3o3$9bo$10bo$8b3o4$32b2o$33bo$33bob2o$34bo2bo$36b2o4$3b3o$5bo 19b2o$4bo20bobo$25bo5$23bo$12bo9bo$13bo8b3o$11b3o$32b2o$33bo$33bob2o$ 34bo2bo$36b2o4$10b2o$9bobo$11bo12b3o$24bo$25bo3$27bo$27bobo$27b2o3$32b 2o$33bo$33bob2o$34bo2bo$36b2o$9b2o$8bobo$10bo9bo$19b2o$19bobo8$28b3o$ 28bo$29bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 12 PAUSE 7 T 34 PAUSE 2 T 48 PAUSE 3 LOOP 49 ]]
Three 4G syntheses[2]
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Occurrence

See also: List of common still lifes

Claw with tail is the seventy-second most common still life in Achim Flammenkamp's census, being less common than eleven loop, but more common than symmetric scorpion.[3]

It is the 76th most common still life on Adam P. Goucher's Catagolue, being less common than symmetric scorpion but more common than bee hat. It is the 11th most common still life with 10 cells, being less common than long integral but more common than trans-barge with tail.[4]

There are two three-glider collisions in the octo3g database[5] and two collisions in the octohash database[6] with claw with tail in the ash.

Catalysis

Claw with tail can be used as a catalyst; two distinct example reactions involving copperhead are shown below.

x = 47, y = 27, rule = B3/S23 46bo$44b3o$43bo$43b2o3$17b2o23b2o$17bo19bo4bobo$14b2obo18bobo5bo$13bo 2bo19bobo4bo$13b2o22bo6b3o$27b2o17bo$2o26bo$bo26bobo$bobo5b2o18b2o8b2o $2b2o4bo2bo26bo2bo$8bo2bo26bo2bo$7bo4bo24bo4bo$7bo4bo24bo4bo$8b4o26b4o $7b2o2b2o24b2o2b2o$7bo4bo24bo4bo$7bo4bo24bo4bo3$8b4o26b4o$9b2o28b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 400 THUMBSIZE 2 ZOOM 12 GPS 5 AUTOSTART T 0 PAUSE 2 LOOP 80 ]]
Left: a copperhead eater found by Simon Ekström. Right: a copperhead-to-glider converter found by James Pascua. Both use a claw with tail
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RLE: here Plaintext: here

It can also be used in a switch engine channel to reduce the repeat time to 144 ticks.

x = 117, y = 117, rule = B3/S23 88b2o$89bo23bo$89bob2o18b3o$90bo2bo16bo$92b2o16b2o4$80b2o$81bo$81bob2o $82bo2bo$84b2o3$112b2o$72b2o38bobo$73bo40bo$73bob2o36bo$74bo2bo36b3o$ 76b2o38bo3$104b2o$64b2o38bobo$65bo40bo$65bob2o36bo$66bo2bo36b3o$68b2o 38bo3$96b2o$56b2o38bobo$57bo40bo$57bob2o36bo$58bo2bo36b3o$60b2o38bo3$ 88b2o$48b2o38bobo$49bo40bo$49bob2o36bo$50bo2bo36b3o$52b2o38bo3$80b2o$ 40b2o38bobo$41bo40bo$41bob2o36bo$42bo2bo36b3o$44b2o38bo3$72b2o$32b2o38b obo$33bo40bo$33bob2o36bo$34bo2bo36b3o$36b2o38bo3$64b2o$24b2o38bobo$25b o40bo$25bob2o36bo$26bo2bo36b3o$28b2o38bo3$56b2o$16b2o38bobo$17bo40bo$ 17bob2o36bo$18bo2bo36b3o$20b2o38bo3$48b2o$8b2o38bobo$9bo40bo$9bob2o36b o$10bo2bo36b3o$12b2o38bo3$40b2o$2o38bobo$bo40bo$bob2o36bo$2bo2bo36b3o $4b2o38bo3$32b2o$32bobo$34bo$33bo$34b3o$36bo2$12bobo$15bo8b2o$11bo2bo 9bobo$10b3o13bo$25bo$26b3o$28bo3$16b2o$16bobo$18bo$17bo$18b3o$20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 710 HEIGHT 700 ZOOM 6 THUMBSIZE 2 PAUSE 2 LOOP 913 T 912 PAUSE 2 AUTOSTART ]]
The faster switch engine channel variant
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RLE: here Plaintext: here

See also

References

  1. xs10_1784ko at Adam P. Goucher's Catagolue
  2. 2.0 2.1 The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-18.rle)
  3. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 7, 2009.
  4. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.
  5. Headerless RLEs of the collisions are o$b2o$2o$5bo$4b2o$4bobo6b3o$13bo$14bo! and 75bo$73b2o$74b2o$70bo$71bo$69b3o73$3o$2bo$bo!
  6. 2o$bo$bobo$2b2o4bo$7bobo$7bobo$8bo2$9b2o$9bobo$9bo! and 2o$bo$bobo5b2o$2b2o6bo$7b3o$7bo2$8b2o$8bobo$8bo!

External links