c/6 orthogonal

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c/6 orthogonal
Spaceship Yes
Puffer Yes
Rake Yes
Wickstretcher No
Gun Yes

c/6 orthogonal is an orthogonal speed that is equivalent to one sixth of the speed of light.

Spaceships

The first c/6 orthogonal spaceship to be found was the dragon, discovered in April 2000 by Paul Tooke using David Eppstein's spaceship search program, gfind. Two dragons can pull a toad in a manner similar to a toad sucker, and this was the only known way to create c/6 orthogonal spaceships until March 2006 when Paul Tooke discovered 274P6H1V0. In October 2008 Paul Tooke found Bulldozer, based on a pushalong component discovered by Hartmut Holzwart.[1] This component provides a forward domino spark that can be used to support additional copies of itself, resulting in an extensible spaceship. In May 2009 Hartmut Holzwart found another pushalong component for this spaceship, as well as a much smaller c/6 orthogonal spaceship, 56P6H1V0.[2] Many c/6 spaceships have since been found by Tim Coe, Josh Ball, Matthias Merzenich, Dongook Lee, and Tanner Jacobi.

Matthias Merzenich found period-12 and period-18 spaceships on July 27, 2017.[3] These were the first c/6 orthogonal spaceships to be found with periods higher than 6.


Dragon, the first c/6
orthogonal spaceship

Guns

In March 2020, a glider synthesis for 56P6H1V0 was completed.[4][5] In December 2020, a gun based on this synthesis was constructed by Goldtiger997 and Aleph.[6]

Puffers

Nora Brown constructed the first c/6 orthogonal puffer on July 26, 2017 using a spaceship found by Matthias Merzenich.[7] The first clean c/6 orthogonal rake was found by May13 and reduced by iNoMed in November 2021[8] and Anivec in August 2022[9].

See also

References

  1. New c/6 Extensible Spaceship at Game of Life News. Posted by Dave Greene on March 8, 2009.
  2. New c/6 Spaceships at Game of Life News. Posted by Heinrich Koenig on May 31, 2009.
  3. Matthias Merzenich (July 27, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. Goldtiger997 (March 22, 2020). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
  5. Martin Grant (March 25, 2020). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
  6. Goldtiger997 (December 8, 2020). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. Nora Brown (July 26, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. May13 (November 17, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  9. Anivec (July 31, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums