Block on cover

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Block on cover
x = 5, y = 5, rule = B3/S23 2ob2o$2obo$3bo$3o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 12
Bounding box 5 × 5
Frequency class 19.9
Static symmetry / (D2_x)
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Block on cover is a 12-cell still life consisting of a block stabilizing a cover.

Commonness

Main article: List of common still lifes

Block on cover is the fifty-sixth most common still life in Achim Flammenkamp's census, being less common than trans-bookend and bun but more common than cis-boat on dock.[1]

It is the 58th most common still life on Adam P. Goucher's Catagolue, being less common than eater head siamese eater tail but more common than cis-boat on dock. It is the 6th most common still life with 12 cells, being less common than eater head siamese eater tail but more common than cis-block on long bookend.[2]

The octo3obj database contains 22 collisions with block on cover occurring in the ash.

Construction

On April 4, 2007 Dean Hickerson found a 4-glider synthesis of this still life.[3]

A number of known alternate syntheses can be found in Mark Niemiec's database.[4]

x = 52, y = 29, rule = B3/S23 9bobo23bo$10b2o23bobo$10bo24b2o2$bo8b3o$b2o9bo21bo$obo8bo22b2o$33bobo 2$40b3o$40bo$41bo4$20bo28b2o$19b2o27b2o$bo17bobo4bo4bo18bo$2b2o22bobo 3b2o$b2o23b2o3b2o2$22bo$9bobo10bobo26bo$10b2o10b2o25b2o$10bo39b2o2$37b o9bo$38bo6b2o$36b3o7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 6 AUTOSTART GPS 12 T 0 PAUSE 3 T 33 PAUSE 2 LOOP 34 ]]
Several 4G syntheses[4][5]
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x = 40, y = 40, rule = B3/S23 17b2o$17b2o11$15b2o3b2o$17b3o$16bo3bo9bo$12bo4bobo10bobo$12bobo3bo12b obo$2o11bobo15bo2bo3b2o$2o11bo2bo5bo8bobo4b2o$13bobo4b3o7bobo$12bobo4b o10bo$12bo6bob2o$18b2ob2o8$14b2o3b2o$16b3o$15bo3bo$16bobo$17bo4$17b2o $17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 500 HEIGHT 500 ZOOM 11 AUTOSTART GPS 12 LOOP 30 ]]
4 queen bees hassling a block on cover into a loaf and back, forming a p30 oscillator, discovered by eRroR_606 on September 13, 2026 [6]
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Catagolue: here


See also

References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
  3. ↑ 2, 3, and 4-glider syntheses on Dean Hickerson's Life page
  4. ↑ 4.0 4.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-111.rle)
  5. ↑ carson-cheng/4g-database on GitHub
  6. ↑ eRroR_606 (September 13, 2026). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums