Difference between revisions of "Conduit"

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* The Herschel conduits shown below are the initial universal set, discovered in the late 1990s and proven to be sufficient to complete an unlimited range of synchronization or computation tasks.  Many more Herschel conduits have since been discovered.  Conduits are code-named according to the final orientation of the output Herschel relative to the input Herschel, and the number of generations it takes for the output Herschel to reach the same phase as the input Herschel. For example, the R64 conduit performs a right turn in 64 generations; R designates right turn, L left turn, F forward motion, B backward motion and x flip ("forwards" is defined as along the shaft towards the T-piece).
 
* The Herschel conduits shown below are the initial universal set, discovered in the late 1990s and proven to be sufficient to complete an unlimited range of synchronization or computation tasks.  Many more Herschel conduits have since been discovered.  Conduits are code-named according to the final orientation of the output Herschel relative to the input Herschel, and the number of generations it takes for the output Herschel to reach the same phase as the input Herschel. For example, the R64 conduit performs a right turn in 64 generations; R designates right turn, L left turn, F forward motion, B backward motion and x flip ("forwards" is defined as along the shaft towards the T-piece).
* For conduits for symmetrical inputs (e.g. a [[pi-heptomino]]), T (for "turn") is used instead of L or R as the conduit can be flipped to rotate the input either clockwise or counterclockwise.
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* For conduits for symmetrical inputs (e.g. a [[pi-heptomino]] or [[queen bee]]), an asterisk ('''*''') is used to denote that the conduit can be flipped to place the input either clockwise or counterclockwise. The resulting pair of conduits will have outputs in the same number of ticks, but they will be either L and Rx ('''L*'''), R and Lx ('''R*'''), or B and Bx ('''B*''').<ref name="post66272" />
* As shown below, the conduits transport the input Herschel (shown in green) to the position in magenta, and also produce a glider which escapes at lower left.<ref>Herschel conduit stamp collection in Golly distribution</ref>
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* As shown below, the conduits transport the input Herschel (shown in green) to the position in magenta, and also produce a glider which escapes at lower left.<ref name="post49961" />
 
* The two Bx conduits leave a block (shown in red) which has to be deleted by the glider produced by the output Herschel.
 
* The two Bx conduits leave a block (shown in red) which has to be deleted by the glider produced by the output Herschel.
 
* In F166 and Lx200 the "input Herschel" never actually forms in the position shown, which is given to facilitate the concatenation of conduits. Instead, the block and Herschel-precursor react as shown in the insets, 3 generations before the nominal entry into the conduit.
 
* In F166 and Lx200 the "input Herschel" never actually forms in the position shown, which is given to facilitate the concatenation of conduits. Instead, the block and Herschel-precursor react as shown in the insets, 3 generations before the nominal entry into the conduit.
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==References==
 
==References==
<references/>
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<references>
 +
<ref name="post66272">{{LinkForumThread
 +
|format = ref
 +
|title  = Re: The Hunting of the Elementary Conduits
 +
|p      = 66272
 +
|author = Jeremy Tan
 +
|date  = December 7, 2018
 +
}}</ref>
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<ref name="post49961">{{LinkForumThread
 +
|format = ref
 +
|title  = Re: H-to-H conduit collection
 +
|p      = 49961
 +
|author = Dave Greene
 +
|date  = August 26, 2017
 +
}}
 +
''(Herschel conduit stamp collection in Golly distribution)</ref>''
 +
</references>

Latest revision as of 16:50, 3 February 2020

A conduit is an arrangement of still lifes and/or oscillators that move an active object to another location without themselves being permanently damaged. The object may be transformed into a different active object in the process, but no permanent debris may be left behind. Alternatively, gliders or other spaceships may be emitted; they will either abandon the site of their creation, or can be absorbed by eaters. Probably the most important conduit is conduit 1, in which a B-heptomino is transformed into a Herschel in 59 generations.

Herschel conduits

The most prolific stable conduits are those which rotate, reflect or translate a Herschel in a certain number of generations. Oscillators of all periods => 58 can be built using these elementary conduits. All except the smallest stable reflectors use Herschel conduits, the counter-examples being the Snark, rectifier, and boojum reflector.

Herschel conduits can be chained in order to form a Herschel track. Karel Suhajda's search program Hersrch automates the process of building a track.

  • The Herschel conduits shown below are the initial universal set, discovered in the late 1990s and proven to be sufficient to complete an unlimited range of synchronization or computation tasks. Many more Herschel conduits have since been discovered. Conduits are code-named according to the final orientation of the output Herschel relative to the input Herschel, and the number of generations it takes for the output Herschel to reach the same phase as the input Herschel. For example, the R64 conduit performs a right turn in 64 generations; R designates right turn, L left turn, F forward motion, B backward motion and x flip ("forwards" is defined as along the shaft towards the T-piece).
  • For conduits for symmetrical inputs (e.g. a pi-heptomino or queen bee), an asterisk (*) is used to denote that the conduit can be flipped to place the input either clockwise or counterclockwise. The resulting pair of conduits will have outputs in the same number of ticks, but they will be either L and Rx (L*), R and Lx (R*), or B and Bx (B*).[1]
  • As shown below, the conduits transport the input Herschel (shown in green) to the position in magenta, and also produce a glider which escapes at lower left.[2]
  • The two Bx conduits leave a block (shown in red) which has to be deleted by the glider produced by the output Herschel.
  • In F166 and Lx200 the "input Herschel" never actually forms in the position shown, which is given to facilitate the concatenation of conduits. Instead, the block and Herschel-precursor react as shown in the insets, 3 generations before the nominal entry into the conduit.
  • The number in brackets is the reset time, i.e. the minimum number of generations at which one Herschel can follow another through the conduit. However it may be necessary to dispose of the glider produced by the output Herschel to achieve some close spacings.
R64 (61) Conduit R64.png Fx77 (57) Conduit Fx77.png L112 (58) Conduit L112.png F116 (138) Conduit F116.png
F117 (63) Conduit F117.png Fx119 (60) Conduit Fx119.png Bx125 (166) Conduit Bx125.png Fx153 (60) Conduit Fx153.png
L156 (62) Conduit L156.png Fx158 (176) Conduit Fx158.png F166 (115) Conduit F166.png F171 (227) Conduit F171.png
Fx176 (92) Conduit Fx176.png R190 (202) Conduit R190.png Lx200 (90) Conduit Lx200.png Rx202 (201) Conduit Rx202.png
Bx222 (271) Conduit Bx222.png

Many of these use the block+snake combination (conduit 1) in order to clean up the output B-heptomino to produce an output Herschel. Dave Greene, with the invention of his boojum reflector, discovered a way to remove this block using the first natural glider of the Herschel. However, these conduits are not considered 'elementary', since they contain a boojum reflector.

See also

External links

References

  1. Jeremy Tan (December 7, 2018). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  2. Dave Greene (August 26, 2017). Re: H-to-H conduit collection (discussion thread) at the ConwayLife.com forums (Herschel conduit stamp collection in Golly distribution)