Crab

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Crab
8b2o3b$7b2o4b$9bo3b$11b2o$10bo2b2$9bo2bo$b2o5b2o3b$2o5bo5b$2bo4bobo3b$ 4b2o2bo4b$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ TRACKLOOP 4 -1/4 -1/4 THUMBSIZE 2 GPS 4 ZOOM 16 ]]
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Pattern type Tagalong
Spaceship
Number of cells 25
Bounding box 13 × 12
Direction Diagonal
Period 4 (mod: 2)
Speed c/4 | c/4
Heat 22.0
Kinetic symmetry n/e
Discovered by Jason Summers
Year of discovery 2000

Crab (or quarter[1]) is a c/4 diagonal spaceship that was found by Jason Summers in September 2000. It is the smallest known diagonal spaceship other than the glider and it consists of two gliders pulling a tagalong.

Use as a tubstretcher

It was noticed by Nicolay Beluchenko in August 2005 that it can be converted into a small tubstretcher, as shown below.[2] This tubstretcher is the basis for the one per generation pattern.

Due to the diagonal glide symmetry and by simple inspection, the spaceship can easily be made to stretch two tub wicks simultaneously, via a domino spark repeatedly adding units to a tub or long^N barge. Additional non-stretching variants are possible by adding tub-eating c/4 spaceships at the back of the chain(s), at any distance. Such a double wickstretcher was used as the basis for the Speed Demonoid and the self-synthesizing oblique loopship.

8b2o3b$7b2o4b$9bo3b$11b2o$10bo2b2$9bo2bo$b2o5b2o3b$2o5bo5b$2bo4bobo3b$ 4b2o2bo4b$4b2o7b$8bo4b$7bobo3b$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 ]]
The crab as a tubstretcher
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RLE: here Plaintext: here

Occurrence

Main article: List of natural spaceships

At 25 cells, the crab is one of the three smallest spaceships yet to appear from soup, alongside 25P3H1V0.1 and 25P3H1V0.2.

Glider synthesis

Martin Grant found a synthesis for crab with the help of Tanner Jacobi and Brett Berger on December 26, 2014.[3] The cost has since been reduced several times. Tanner Jacobi found a 14-glider synthesis on August 16, 2020.[4] On June 28, 2024, Goldtiger997 reduced the cost to 11 gliders.[5][6]

x = 49, y = 45, rule = B3/S23 13bo$14b2o$13b2o4$40bo$38b2o$39b2o3$o$b2o$2o11bo$14bo$12b3o3$16bo$17b 2o$16b2o10$42b2o$42bobo$42bo5$39b3o$6b2o31bo$7b2o31bo$6bo$31b2o14bo$31b obo5b2o5b2o$31bo7bobo4bobo$39bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 80 PAUSE 3 LOOP 81 ]]
11G synthesis[5]
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x = 41, y = 47, rule = B3/S23 13bo$14b2o$13b2o4$36bo$34b2o$35b2o3$o$b2o$2o2$17bobo$18b2o$18bo9$38b2o $38bobo$38bo6$6b2o23b2o$7b2o21b2o$6bo25bo4bo$27b2o7b2o$27bobo6bobo$27b o2$37bo$36b2o$36bobo$6b2o$7b2o$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 80 PAUSE 3 LOOP 81 ]]
alternate 11G synthesis[5]
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Guns

On June 30, 2024, EvinZL created a period-66 crab gun. Later that day, he found a repeat time 61 crab synthesis, allowing Entity Valkyrie to create a period-61 crab gun early the next day.

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obo7bobo3b3obo54b2obobo5b3o60bo$170bo8bo5b2o2bo5b2o48bo2bo6bo11b2o$53b o124b2o6bobo5bo2bo2b2o43bobo18bo2bo2b2o$52bobo131bo7bobo4bo2bo41bo19bo bo4bo2bo$53bo127b2o3bo8bo5bobobo61bo5bobobo$181bo2bobobo9b2obo2bo65b2o bo2bo$183b2ob2obo8bo2bo51b2o15bo2bo$189bo5bo4bo52b2o12bo4bo$189b2o4b5o 67b5o2$194bob2o68bob2o$194b2obo68b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 550 WIDTH 700 GPS 20 ZOOM 2 THUMBSIZE 2 ]]
p61 crab gun. Each crab uses 11 gliders and two MWSSes.
(click above to open LifeViewer)

See also

References

  1. ↑ "quarter". The Life Lexicon. Stephen Silver.
  2. ↑ New c/4 Diagonal Tubstretcher at Game of Life News. Posted by Heinrich Koenig on August 5, 2005.
  3. ↑ Martin Grant (December 26, 2014). Re: How about a crab synthesis? (discussion thread) at the ConwayLife.com forums
  4. ↑ Tanner Jacobi (August 16, 2020). Re: One Glider Seeds (discussion thread) at the ConwayLife.com forums
  5. ↑ 5.0 5.1 5.2 Goldtiger997 (June 28, 2024). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
  6. ↑ shinjuku (#7218423097) (June 29, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.

External links

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