Bookend siamese shillelagh

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Bookend siamese shillelagh
x = 5, y = 6, rule = B3/S23 2o$obo$2bo$b2obo$o2b2o$2o! #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 13
Bounding box 6 × 5
Frequency class 23.5
Static symmetry n (C1)
Discovered by Unknown
Year of discovery Unknown

Bookend siamese shillelagh is a still life with 13 cells.

As its name implies, this still life can be seen to contain a bookend and shillelagh sharing cells. It very closely resembles house siamese shillelagh.

Construction

This still life can be constructed with 4 gliders.[1] A 4-glider synthesis was found in 2017.[2]


x = 49, y = 32, rule = B3/S23 46bo$46bobo$46b2o3$2o$obo$2bo10bo$b2obo9bo$o2b2o7b3o$2o12$26b2o$25b2o$ 27bo5$11b2o$10bobo$12bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 380 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 28 PAUSE 1 T 185 PAUSE 2 LOOP 186 ]]
A 4G synthesis[2][3]
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x = 38, y = 33, rule = B3/S23 36bo$35bo$35b3o5$obo$b2o$bo$19bo$19bobo$4bobo12b2o$5b2o$5bo5$30b2o$30b obo$32bo$31b2obo$30bo2b2o$30b2o6$2b2o$bobo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 380 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 30 PAUSE 1 T 52 PAUSE 1 T 66 PAUSE 2 LOOP 67 ]]
A 5G synthesis[4]
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Converters

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This section lists known synthesis components applicable to this still life, excluding converters that apply to a smaller object.

x = 34, y = 32, rule = B3/S23 5bobo$6b2o$6bo2$21bo$20bo$20b3o2$5b2o18b2o$5bobo17bobo3b2o$7bo19bo2bo 2bo$6b2obo16b2obob2o$5bo2b2o15bo3bo$5b2o18b2ob2o7$9b3o$11bo$2b2o6bo$3b 2o$2bo2$15b2o$15bobo$15bo$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 34 PAUSE 2 LOOP 35 ]]
6G → xs20_354mhrz0696[5]
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Catagolue: here


Occurrence

See also: List of common still lifes, List of still lifes with 13 cells

Bookend siamese shillelagh is the 148th most common still life on Adam P. Goucher's Catagolue, being less common than twelve loop but more common than O quad-loaf. Among all still lifes with 13 cells, it is the 12th most common, being less common than krake but more common than claw at loaf.[6]

There is a three-glider collision with this still life in the ash.[7]

References

  1. ↑ xs13_354mp3 at Adam P. Goucher's Catagolue
  2. ↑ 2.0 2.1 Simon Ekström (August 2, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  3. ↑ xs13_354mp3 (archived copy)
  4. ↑ The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-213.rle)
  5. ↑ Chris857 (December 8, 2023). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  6. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 28, 2023.
  7. ↑ The final population is 229 with 11 escaping gliders. The headerless RLE of the collision is obo$b2o$bo108$121bo$119b2o$120b2o$116bo$117bo$115b3o!