Herschel conduit

A Herschel conduit is a conduit that moves a Herschel from one place to another.

Well over a hundred simple stable Herschel conduits are currently known. As of the end of 2017, the number is approximately 130, depending on the precise definition of "simple" -- e.g., fitting inside a 100×100 bounding box, and producing output in no more than 300 ticks. In general a Herschel conduit can be called "simple" if its active reaction does not return to a Herschel stage except at its output. A description of common usage in complex circuitry, using syringes and Snarks to make compact connections, can be found in Herschel circuit.

The original universal set consisted of sixteen stable Herschel conduits, discovered between 1995 and 1998 by Dave Buckingham (DJB) and Paul Callahan (PBC); these are shown in the following table. In this table, the number in "name/steps" is the number of ticks needed to produce an output Herschel from the input Herschel. "m" tells how the Herschel is moved (R = turned right, L = turned left, B = turned back, F = unturned, x = flipped), and "dx" and "dy" give the displacement of the center cell of the Herschel (assumed to start in the orientation shown to the right).

Name/stepsmdxdydiscovery
R64R-119DJB, Sep 1995
Fx77Fx-25-8DJB, Aug 1996
L112L-12-33DJB, Jul 1996
F116F-321PBC, Feb 1997
F117F-40-6DJB, Jul 1996
Bx125Bx9-17PBC, Nov 1998
Fx119Fx-2014DJB, Sep 1996
Fx153Fx-48-4PBC, Feb 1997
L156L-17-41DJB, Aug 1996
Fx158Fx-27-5DJB, Jul 1996
F166F-493PBC, May 1997
Fx176Fx-450PBC, Oct 1997
R190R-2416DJB, Jul 1996
Lx200Lx-17-40PBC, Jun 1997
Rx202Rx-732DJB, May 1997
Bx222Bx6-16PBC, Oct 1998

Also see

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gollark: https://colab.research.google.com/drive/1qR577747CnpqUZA2cMXUi3Iym9S-AD5g
gollark: Hold on.
gollark: So this is fox hell.
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