Trans-loaf with tail

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Trans-loaf with tail
x = 6, y = 6, rule = B3/S23 bo$obo$o2bo$b2obo$4bo$4b2o! #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 11
Bounding box 6 × 6
Frequency class 19.3
Discovered by Unknown
Year of discovery Unknown

Trans-loaf with tail[1] or down loaf with tail[2] is an 11-cell still life.

Construction

This still life is known to be constructible with 4 gliders.[3]

There is a small one-glider seed for this still life, consisting of two symmetrically placed eater 1s.[2] This constellation is also the only match for this still life in the octohash database.

x = 33, y = 22, rule = B3/S23 2bo12bobo$obo12b2o$b2o13bo2$16bo$15bo$15b3o2$27b2o$28bo$28bob2o$29bo2bo$30bobo$31bo6$2bo$2b2o$bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 28 PAUSE 2 LOOP 29 ]]
A 4G synthesis[2]
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x = 43, y = 28, rule = B3/S23 23bo$21b2o$22b2o$2bo$obo$b2o7$37b2o$38bo$38bob2o$23b3o13bo2bo$23bo16bobo$24bo16bo8$4b2o$3bobo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 30 PAUSE 1 T 62 PAUSE 2 LOOP 63 ]]
A 4G synthesis[2]
(click above to open LifeViewer)
x = 26, y = 10, rule = B3/S23 10bo$2o8bobo7b2o$bo8b2o9bo$bobo17bob2o$2b2o18bo2bo$23bobo$5b2o17bo$5bo$6b3o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 17 PAUSE 2 LOOP 18 ]]
A 1G seed[2]
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Occurrence

Trans-loaf with tail is the forty-ninth most common still life in Achim Flammenkamp's census, being less common than block on cap but more common than cis-rotated bookend.[4]

It is the 50th most common still life on Adam P. Goucher's Catagolue, being less common than block on cap but more common than cis-shillelagh. It is the 3rd most common still life with 11 cells, being less common than elevener but more common than loaf siamese loaf.[5]

There are seven three-glider collisions with an occurrence of this still life in the ash.[note 1] This still life occurs in final patterns of two collisions in the octohash database[note 2] and 22 collisions in the octo3obj database.

Isomers

This still life is comprised of the normally stable loaf with a normally unstable tail attached. This is one of two possible isomers, named trans due to most of the loaf facing outwards from the tail; the other isomer, cis-loaf with tail, has it tucked inwards.

Notes

  1. One of seven collisions (headerless RLE: 6bo$4b2o$5b2o$bo$2bo$3o95$86b2o$85b2o$87bo!) has final population alternating betweeen 416 and 418, with 13 escaping gliders. The other 6 collisions all converge to the same sequence of a glider colliding with pi-heptomino (2bo$bobo$2ob2o12$8b3o$8bo$9bo!), with one escaping glider and final population 92.
  2. One of two collisions (8bo$6b3o$5bo$5b2o2$2b2o$bobo$bo3b2o$2o3bobo$5bo!) is a clean 1G seed; the other collision (2b2o$2bobo$3bo2$5b3o$2bo2bo$bobo2bo$obo$2o!) has final population 367 with 6 escaping gliders.

See also

References

External links