c/5 diagonal

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c/5 diagonal
Spaceship Yes
Puffer Yes
Rake Yes
Wickstretcher Yes
Gun Yes

c/5 diagonal is a diagonal speed that is equivalent to one fifth of the speed of light.

Spaceships

The first c/5 diagonal spaceship to be discovered was 295P5H1V1 and was found by Jason Summers on November 22, 2000.[1] No other spaceships of this speed were discovered until January 8, 2005, when Jason Summers found the much smaller 86P5H1V1.[2] In July 2006 Nicolay Beluchenko discovered three new c/5 diagonal spaceships, including the asymmetric 67P5H1V1.[3] The smallest known c/5 diagonal spaceship, 58P5H1V1, was discovered by Matthias Merzenich on September 5, 2010.[4]

On December 18, 2015, Tim Coe discovered the orthogonally thinnest possible c/5 diagonal ship,[5] whose bounding box over six iterations (from one phase to itself displaced by (1,1)) spans a width of 13, which is also the second smallest, with a minimum population of 63.

x = 25, y = 12, rule = B3/S23 2b2obo3b4o$bo2b3ob2ob5o$o3b2o2b2obo2bobo$o$o3bo5bo3bo$5bo4bo$2b2o10b2o 2b2o$5b2o6b2ob2o2bo2bo$5bobo10b5obo$12bo4b2o5bo$12bobobo$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 THUMBZOOM 32 WIDTH 980 HEIGHT 560 TRACK -1/5 -1/5 GPS 5 ]]
Second smallest known c/5 diagonal
spaceship with a minimum population of 63
(click above to open LifeViewer)
Catagolue: here

After a gap of several years, on March 26-27, 2020, AforAmpere found new c/5 diagonal ships with a different shape from previous discoveries.[6]

The first glider synthesis for a c/5 diagonal spaceship (58P5H1V1) was found by Goldtiger997 and Tanner Jacobi in April 2020.[7][8]

Puffers

x = 85, y = 71, rule = b3/s23 82bo2b$81b2o2b$80bo4b$78b3ob2ob$77b2obo3bo$76bob3o4b$75b2obobob2ob$76b ob2obo3b$76bo8b2$53bo21bo5bo3b$52b2o21bo4bo4b$51bo22bo2bo7b$49b3ob2o 18bo11b$48b2obo3bo11bo3b2o12b$47bob3o14b4o15b$46b2obobob2o10bo7bo11b$ 47bob2obo11b5o16b$47bo16bobobo16b$30b2o31b5o4bo12b$30b2o14bo5bo9bo5bo 2bo13b$29bo2bo13bo4bo9b2obo2bo17b$26b2obo2bo12bo2bo15bo2bo17b$32bo11bo 20bo19b$24b2o3bo2bo5bo3b2o41b$24b2o5bo5b4o44b$25bob5o4bo7bo40b$26bo8b 5o45b$35bobobo45b$34b5o4bo41b$23b3o7bo5bo2bo42b$23bo8b2obo2bo46b$21b2o 12bo2bo46b$15b2o4bo14bo48b$15b3o3bo63b$13bo4bo66b$13bo3bo67b$17bo67b$ 12b2obobo67b$10b2o5bo67b$10b2o4b2o67b$12b4o69b2$25b2o58b$24b2o59b$26bo 58b3$20b2o63b$20b2o63b$19bo2bo62b$16b2obo2bo62b$22bo62b$14b2o3bo2bo62b $14b2o5bo63b$15bob5o63b$16bo68b3$13b3o69b$13bo71b$11b2o72b$5b2o4bo73b$ 5b3o3bo73b$3bo4bo76b$3bo3bo77b$7bo77b$2b2obobo77b$2o5bo77b$2o4b2o77b$ 2b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 WIDTH 500 HEIGHT 600 X 20 Y 20 TRACK -1/5 -1/5 GPS 40 AUTOSTART ]]
The first c/5 diagonal puffer to be discovered
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 63, y = 63, rule = B3/S23 60b2o$58b2o2bo$58b3o$58bobo$54b4o2bo$54b3o3bo$26b2o28bob2o$24b2o2bo26b o6bo$24b3o28b2o4bo$24bobo30b3o$20b4o2bo26b2o$20b3o3bo26b2o$22bob2o27b 2o$21bo6bo21b3o$21b2o4bo16b2o4b3o$23b3o18b2ob2o$19b2o23b3obo$19b2o23bo 4bo$19b2o20b3o2bo2bo$16b3o22b2o3bo2bo$10b2o4b3o21bob4o$10b2ob2o25bo7bo $10b3obo26bo5bo$10bo4bo$7b3o2bo2bo$7b2o3bo2bo$6bob4o$6bo7bo$7bo5bo3$ 17b3o$17bo$18bo7$20b2o$18b2o2bo$18b3o$18bobo$14b4o2bo$14b3o3bo$16bob2o $15bo6bo$15b2o4bo$17b3o$13b2o$13b2o$13b2o$10b3o$4b2o4b3o$4b2ob2o$4b3ob o$4bo4bo$b3o2bo2bo$b2o3bo2bo$ob4o$o7bo$bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 4 WIDTH 500 HEIGHT 600 X 20 Y 20 GPS 40 TRACK -1/5 -1/5 ]]
Three-ship puffer by Peter Naszvadi
(click above to open LifeViewer)
RLE: here Plaintext: here

The first c/5 diagonal puffer was built by Matthias Merzenich on September 5, 2010.[4] It consists of four copies of 58P5H1V1 continually hassling a glider, leaving debris behind at a period of 1450.

A period-1540 glide-symmetric three-ship puffer was discovered by Peter Naszvadi in March 2020.[9]

Rakes

The first clean c/5 diagonal rake was constructed by Matthias Merzenich on September 7, 2010.[4] The rake has a period of 1585 and works by circulating two gliders. Alternative rake designs were constructed by Merzenich and Adam P. Goucher. The lowest period so far achieved for a c/5 diagonal rake is 85.[10]

Wickstretchers

The first c/5 diagonal wickstretcher was found by Matthias Merzenich on January 26, 2011.[4] It consists of a tagalong pulled by two copies of 58P5H1V1 that stretches two tubs.

Guns

On May 22, 2020, Entity Valkyrie constructed a period-2760 58P5H1V1 gun.[11]

See also

References

  1. ↑ Jason Summers' jslife pattern collection.
  2. ↑ New Diagonal c/5 Spaceship at Game of Life News. Posted by Heinrich Koenig on January 09, 2005.
  3. ↑ New c/5 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on July 15, 2006.
  4. ↑ 4.0 4.1 4.2 4.3 New c/5 diagonal technology at Game of Life News. Posted by Adam P. Goucher on January 26, 2011.
  5. ↑ moebius (December 18, 2015). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
  6. ↑ AforAmpere (March 26, 2020). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. ↑ Tanner Jacobi (April 2, 2020). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
  8. ↑ Goldtiger997 (April 3, 2020). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
  9. ↑ Peter Naszvadi (March 27, 2020). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
  10. ↑ Matthias Merzenich (September 9, 2015). Re: Switchable gun? (discussion thread) at the ConwayLife.com forums
  11. ↑ Entity Valkyrie (May 22, 2020). Re: Construction practice (discussion thread) at the ConwayLife.com forums


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