c/4 diagonal
c/4 diagonal | ||
Spaceship | Yes | |
---|---|---|
Puffer | Yes | |
Rake | Yes | |
Wickstretcher | Yes | |
Gun | Yes |
c/4 diagonal is a diagonal speed that is equivalent to one fourth of the speed of light.
Spaceships
c/4 diagonal was the first spaceship speed to be discovered when Richard Guy found the glider in 1970. The glider was the only known c/4 diagonal spaceship until Dean Hickerson's searches discovered the big glider in December 1989. Robert Wainwright then found a few small tagalongs for this spaceship, including one that could connect two or more big gliders, giving arbitrarily large c/4 diagonal spaceships. Since then many c/4 diagonal spaceships have been found, and there has been a continual search for the second smallest spaceship of this speed, the current record holder being crab, with 25 cells. Of particular note are those spaceships that produce sparks, such as Tim Coe's swan. The first higher period c/4 diagonal spaceship used two swans to pull a period-8 tagalong and was discovered by Jason Summers in November 2000. In September 2005 Hartmut Holzwart found a c/4 diagonal period-12 spaceship.[1][2] There is a severe lack of higher period c/4 diagonal spaceship technology until period 4508, for which David Bell in October 2005 constructed a rake with an adjustable period of 4508 + 32N, which can easily be turned into a spaceship by deleting the outgoing glider with a swan.[3]
Puffers
The first c/4 diagonal puffer was discovered by Hartmut Holzwart on February 9, 2004, which creates a tub and beehive every 28 generations.[3] On September 30, 2005 Jason Summers constructed a period 4284 puffer that was the basis of David Bell's adjustable rake. Additional low-period puffers were found by praosylen in October 2019 and March 2020.[4][5]
c/4 diagonal puffer 1 (click above to open LifeViewer) RLE: here Plaintext: here |
Rakes
On October 14, 2005 David Bell constructed an adjustable period sideways rake with period 4508 + 32N based on Jason Summers' period 4284 puffer.
p116 c/4d technology
A period 116 puffer was discovered by Keith Amling in November 2023.[6] Adding one glider to the engine releases a glider output.[7] Multiple period-116 spaceships, rakes and puffers were discovered in the following days.[8][9][10][11][12] A period 230376 diagonal c/4 spaceship was completed by David Bell on December 5, 2023,[13] and a period 197316 version was completed on the next day.[14] A sawtooth with a minimum repeating population of 70079 was completed by David Bell on December 7, 2023.[15]
Wickstretchers
Hartmut Holzwart discovered the first c/4 diagonal wickstretcher, boatstretcher 1, on June 1, 1993. Holzwart also found a c/4 diagonal linestretcher on November 19, 2004. An incomplete wickstretcher was found by Paul Tooke in September 2004 for a period 6 wick, and in January 2013, Jason Summers and Matthias Merzenich found a stationary termination that completes the wickstretcher.[16] In October 2004 Hartmut Holzwart found a c/4 diagonal eater for this wick.
c/4 diagonal wickstretcher for a period-6 wick (click above to open LifeViewer) RLE: here Plaintext: here |
Holzwart's backend with two different frontends. (click above to open LifeViewer) |
Guns
Many glider guns have been made that shoot gliders, however no gun was constructed for any other c/4 diagonal spaceship before December 2014, when refinement of the glider synthesis of the crab enabled a period-120 gun to be completed.[17]
See also
- c/4 orthogonal
- Spaceships with speed c/4 (category)
- Speeds (category)
References
- ↑ Jason Summers' Game of Life Status page
- ↑ the spaceship in question
- ↑ 3.0 3.1 Jason Summers' jslife pattern collection. Retrieved on October 28, 2020.
- ↑ praosylen (October 29, 2019). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ praosylen (March 22, 2020). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Keith Amling (November 8, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ praosylen (November 10, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ EvinZL (November 10, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ May13 (November 13, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ David Bell (November 18, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ David Bell (November 23, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (November 30, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ David Bell (December 5, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ David Bell (December 6, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ David Bell (December 7, 2023). A probing sawtooth (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (January 8, 2013). Re: Wickstretcher partial result (discussion thread) at the ConwayLife.com forums
- ↑ Martin Grant (December 30, 2014). Re: How about a crab synthesis? (discussion thread) at the ConwayLife.com forums
External links
- c/4 spaceship at the Life Lexicon
- Jason Summers' jslife pattern collection.
- New 2c/4 and Diagonal c/4 Spaceships at Game of Life News. Posted by Heinrich Koenig on December 17, 2004.
- New c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on August 03, 2005.
- More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on August 21, 2005.
- More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on September 07, 2005.
- More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on September 19, 2005.
- More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on October 06, 2005.
- New c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on December 10, 2006.