Cis-boat on cap

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Cis-boat on cap
x = 4, y = 7, rule = B3/S23 bo$obo$2o2$4o$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 39 ]]
Pattern type Strict still life
Number of cells 13
Bounding box 7 × 4
Frequency class 21.7
Discovered by Unknown
Year of discovery Unknown

Cis-boat on cap is a 13-cell still life.

Construction

On April 3, 2007, Dean Hickerson found a 4-glider synthesis of this still life.[1]

x = 34, y = 25, rule = B3/S23 16bo$16bobo$16b2o4$2bo12bo$obo12bobo$b2o12b2o2$31b2o$30bo2bo$30b4o2$ 30b2o$30bobo$31bo6$23bo$22b2o$22bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 360 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 49 PAUSE 2 LOOP 50 ]]
A 4G synthesis[1][2]
(click above to open LifeViewer)
x = 20, y = 29, rule = B3/S23 12bobo$12b2o$13bo7$4bo$2b2o$3b2o3$17b2o$16bo2bo$16b4o2$16b2o$16bobo$ 17bo4$3o12b3o$o14bo$bo4b3o7bo$6bo$7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 360 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 39 PAUSE 1 T 54 PAUSE 2 LOOP 55 ]]
A 5G synthesis[2]
(click above to open LifeViewer)


Occurrence

See also: List of common still lifes

It is the 91st most common still life on Adam P. Goucher's Catagolue, being less common than long boat tie ship but more common than beehive with hooked tail. It is the 5th most common still life with 13 cells, being less common than long boat tie ship but more common than tapeworm.[3]

This still life occurs in final patterns of five collisions in the octo3obj database.[4]

Isomers

This still life is comprised of the normally stable boat acting to stabilise the normally unstable cap, an induction coil. This is one of two possible isomers, named cis due to the boat not extending past the side of the table; the other isomer, trans-boat on cap, extends out by an extra cell.

References

  1. 1.0 1.1 2, 3, and 4-glider syntheses at Dean Hickerson's Life page
  2. 2.0 2.1 The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-33.rle)
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.
  4. Two collisions (2ob2o3b2o$2ob2o3b2o3$9b2o$9b2o4$4b3o2$7b3o$7bo$8bo! and b2o3b2ob2o$b2o3b2ob2o3$2o$2o4$2b3o2$5b3o$5bo$6bo!) converge to a sequence with 25 escaping gliders and final population 1484. Three other collisions are 2o3bo$2o2bobo2b2o$4bobob2o$5bo4bo$b2o$b2o4bo$7bo$7bo! (1 escaping glider, final population 18), 4b2o$2o2b2o$2o2$9b2o$2o7b2o$2o2b2o$4b2o$7b3o$7bo$8bo! (gliderless, final population 25) and o$o$o$3bo$2bobo$2bobo$3bo3b2o$6bo2bo$2b2o3b2o$2bobo$2bo! (1 escaping glider, final population 48).

External links