Trans-boat amphisbaena

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Trans-boat trans-line hook
x = 7, y = 6, rule = B3/S23 2o$obo$bobo$3bo$3bob2o$4bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 12
Bounding box 7 × 6
Frequency class 29.3
Static symmetry Unspecified
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973


Proposedmove.png It has been proposed that this page be moved to Trans-boat amphisbaena due to the following reason: Move to the previous name, which is used on Catagolue, is shorter and seems less technical

Trans-boat amphisbaena[1] or trans-boat trans-line hook is a 12-cell still life.

Construction

This still life is known to be constructible with 5 gliders.[1] Several alternate syntheses can be found in Mark Niemiec's database.[2]

x = 30, y = 19, rule = B3/S23 18bo9bo$19bo6b2o$17b3o7b2o2$2o$obo$bobo$3bo$3bob2o$4bobo2$22bobo$23b2o2bobo$23bo3b2o$28bo2$17b2o$18b2o$17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 4 AUTOSTART GPS 12 T 0 PAUSE 3 T 73 PAUSE 2 LOOP 74 ]]
A 5G synthesis[1]
(click above to open LifeViewer)
x = 42, y = 27, rule = B3/S23 20bobo$20b2o18bo$21bo17bo$39b3o3$2o$obo26bobo$bobo25b2o$3bo26bo$3bob2o18b2o$4bobo12b2o4bobo$18b2o5bo$20bo8$36b3o$36bo$37bo$14bo$14b2o$13bobo! #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 28 PAUSE 1 T 43 PAUSE 2 LOOP 44 ]]
A 7G synthesis[2]
(click above to open LifeViewer)

Commonness

Main article: List of common still lifes

Among the 121 still lifes with 12 cells, this is the 57th most common still life according to Catagolue.

There are no occurrences of this still life in final patterns of collisions in octohash, octo3obj or octo3g databases.

Isomers

This still life is comprised of a normally stable boat and a normally unstable hook connected by a line. This is one of two possible isomers, named trans due to the corner part of the boat facing outwards from the line; the other isomer, cis-boat trans-line hook, has this corner part tucked inwards.

The closely related pattern "boat cis-line hook" is an induction coil, in much the same way as the integral is a still life whereas the house is an induction coil. Note that there is only one valid isomer for the cis-line arrangement, analogous to cis-boat trans-line hook, as the trans- arrangement would cause unwanted birth between the boat and hook.

See also

References

External links