Diagonal lightspeed communication

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Diagonal lightspeed communication[1] is a transmission of a signal diagonally at the speed of light.

A pattern that transmits a signal diagonally at the speed of light was found by Jason Summers in 1999. It is composed of 88 gliders and 2 LWSSs.[2] The mechanism is shown below with and without an input signal. If the input glider is present, it travels through the mechanism at the speed of light. However, because the pattern takes a while to get started and to settle down at the end, the effective speed is less, approximately 150 cells in 193 ticks, still much faster than the c/4 diagonal spaceship speed limit. Regardless of the presence or absence of an input glider, the mechanism soon dies, thus it is a single-use mechanism. The limitation with using this in a complete circuit is that generating gliders that are so closely spaced with current technology would require an immense pattern.[3]

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LEFT: pattern with SW input glider emerging to the NE
RIGHT: pattern without an input glider
The 3 gliders furthest SW and the 2 LWSSs (from N and E) are for cleanup

(click above to open LifeViewer)
RLE: here Plaintext: here
The 3 SW gliders are for cleanup.
The input glider is shown in red.

See also

References

  1. ↑ Dave Greene (November 12, 2022). Re: Suggested LifeWiki Edits (discussion thread) at the ConwayLife.com forums
  2. ↑ ./misc/lightspeed.lif in Jason Summers' pattern collections.
  3. ↑ Conway's Game of Life: Mathematics and Construction, 4.5 . Spaceships and Moving Objects: Speed Limits