2c/3 wire

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2c/3 wire is a wire discovered by Dean Hickerson in March 1997, using his dr search program. It supports signals that travel through the wire diagonally at two thirds of the speed of light.

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Each 2c/3 signal is made up of two half-signals that can be separated from each other by an arbitrary number of ticks.

Considerable effort has been spent on finding a way to turn a 2c/3 signal 90 or 180 degrees, since this would by one way to prove Life to be omniperiodic. There is a known 2c/3 converter shown under signal elbow, which converts a standard 2c/3 signal into a double-length signal. This is usable in some situations, but unfortunately it fails when its input is a double-length signal, so it can't be used to complete a loop.[1]

In February 2004, Noam Elkies discovered a glider synthesis of a reaction that can repeatably insert a signal into the upper end of a 2c/3 wire.[1] See stable pseudo-Heisenburp for details. On 11 September 2017, Martin Grant reduced the input reaction to five gliders, as shown in the above pattern, or three gliders plus a Herschel.[2] With the Herschel option the recovery time is 152 ticks.

References

  1. 1.0 1.1 Jason Summers' jslife pattern collection. Retrieved on October 28, 2020.
  2. Martin Grant (September 11, 2017). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums

External links