Ship+fishhook

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Ship+fishhook
x = 7, y = 8, rule = B3/S23 6bo$4b3o$3bo$3b2o2$2o$obo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ HEIGHT 500 ZOOM 42 ]]
Pattern type Quasi still life
Number of cells 13
Bounding box 7 × 8
Static symmetry Unspecified
Discovered by Brice Due
Year of discovery 2006

Ship+fishhook (also called equivalent names such as fishhook+ship or ship+eater) is a catalyst used in many oscillators and conduits. It was found by Brice Due in August 2006.[1]

Uses

The catalyst is used with a one-cell leading edge whenever a ship turns into a loaf when hit. If it turns into an I-heptomino relative instead, an R49 catalyst can be used instead.

x = 34, y = 34, rule = B3/S23 19bo$17b3o$16bo$16b2o2$13b2o$13bobo$14b2o6$17b2o8b2o$2o14bobo7bobo$bo 11b2obo9b2o$bobo9bo4b2o10b2o$2b2o10b2o4bo9bobo$6b2o9bob2o11bo$5bobo7bo bo14b2o$5b2o8b2o6$18b2o$18bobo$19b2o2$16b2o$17bo$14b3o$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 7 ]]
72P21, an example of the catalyst being used
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RLE: here Plaintext: here
x = 36, y = 24, rule = B3/S23 30b2o$30b2o3$32bo$31bobo$32bo$33b3o$35bo$33b2o$9bo23bo$9bobo19bobo$9b 3o19b2o$11bo15b2o$27bobo$28b2o3$2b2o$3bo20b2o$3o7b2o6b2o4bobo$o9b2o7bo 6bo$16b3o7b2o$16bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 20 ]]
The catalyst being used in HL98B, with the eater bridged onto a tub with tail, a component of the eater 5.
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x = 42, y = 56, rule = B3/S23 13bo$12bobo$12bobo7b2o$10b3ob2o6b2o$9bo19b2o$10b3ob2o13b2o$12bob2o4$ 25bo$24bobo$23bo2bo$24b2o9b2o$6bo28b2o$4b3o$3bo36bo$3b2o8b2o23b3o$13b 2o22bo$2o35b2o$obo4b2o10b3o$b2o4b2o12bo$20bo2$7bo$7b2o5$33b2o$34bo2$ 21bo$20bo12b2o4b2o$20b3o10b2o4bobo$3b2o35b2o$4bo22b2o$b3o23b2o8b2o$bo 36bo$35b3o$5b2o28bo$5b2o9b2o$15bo2bo$15bobo$16bo4$26b2obo$11b2o13b2ob 3o$11b2o19bo$18b2o6b2ob3o$18b2o7bobo$27bobo$28bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 480 THEME Book THUMBSIZE 2 ZOOM 8 GPS 30 STARTFROM 286 ]]
The catalyst being used in a period-doubling stabilisation of ([p143 Bandersnatch loop
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Catagoluehere


A ship+fishhook catalyst can also be combined with an elevener to form a different catalyst, used in 70P26 and 94P53.

x = 39, y = 10, rule = B3/S23 5b2o25b2o$5bobo23bobo$6b2o6b3o5b3o6b2o$2b2o9bo2bo5bo2bo9b2o$bobo5b2o 17b2o5bobo$bo6bobo2b2o9b2o2bobo6bo$2o6bo21bo6b2o$6b3o21b3o$5bo10b2o3b 2o10bo$5b2o9b2o3b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THUMBSIZE 2 ZOOM 12 GPS 13 ]]
70P26, an example of the ship+fishhook+elevener catalyst being used
(click above to open LifeViewer)
RLE: here Plaintext: here

An alternate version of the catalyst can be used if clearance is an issue:

7b2o6bo$8bo4b3o$7bo4bo$7b2o3b2o2$7b2o$6bobo2b2o$3bo2b2o3b2o$4bo$3bo$b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 10 ]]
alternate catalyst
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Occurrence

From statistics, as a very rough estimate, its occurrence should be about 20,000 times rarer than the fishhook itself, which is the frequency of a loaf appearing in a specific position (10,000) in two of four possible rotations (×2), as a loaf placed correctly will be converted to a ship, and loaves are much more common than non-Herschel ships. This puts it about on par with quadpole tie ship.

It does not appear in x2xb3s23clustersv0/C1/xs51, which evaluates the frequency of quasi still lifes and some farther apart, which is expected, as ship+fishhook would have frequency class 25, and figure eight (23) and mold (24) appear only once each.

Construction

The ship+fishhook constellation can be constructed by colliding four gliders, where two gliders collide to form the eater 1 which then catalyses the collision of the other two gliders:[2]

x = 35, y = 26, rule = B3/S23 16bo$16bobo$16b2o4$28bo$28b3o$31bo$30b2o2$33b2o$32bobo$32b2o2$19bo$18b 2o$18bobo4$26b2o$26bobo$3o23bo$2bo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 14 THEME Book AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 36 PAUSE 1 T 48 PAUSE 2 LOOP 49 ]]
A 4G synthesis[2]
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See also

References

  1. Dave Greene (February 7, 2015). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums
  2. 2.0 2.1 shinjuku (#4116472097) (April 14, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.

External links