Dependent conduit

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A dependent conduit is a Herschel conduit in which the input Herschel is prevented from emitting its first natural glider. This is useful in cases where the previous conduit cannot survive a first natural glider emitted from its output Herschel.

Conversely, an independent conduit is a Herschel conduit in which the input Herschel produces its first natural glider.

x = 53, y = 15, rule = B3/S23 22b2o$22b2o6b2o$31bo$30bo$30b2o3$11b2o8b3o$2o3b2o4b2o9bo$2o2b3o13b3o$5bob2o24b2o15bo$6bo3bo22b2o15bo$6bo4bo38b3o$7bo3bo40bo$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book GPS 10 AUTOSTART T 0 PAUSE 2 T 74 PAUSE 2 T 133 PAUSE 2 LOOP 134 ]]
R133 (HRx74B and BFx59H), an example of a dependent conduit.
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The term "dependent" is somewhat confusing, since it is actually the previous conduit that depends on the dependent conduit to suppress the problematic glider, or move and delay it.

Currently there are a few known FNG-suppressing mechanisms:

Chronologically, F166 and Lx200 are the first known dependent conduits; because of this, the term "dependent conduits" in the narrow sense refers to the transparent-block-based conduits specifically.
This class of dependent conduits can be appended to the dependent form of syringe, whose catalyst is simpler and easier to construct with a slow salvo than that of the canonical independent form. Scorbie Splitter benefits from this fact.
  • In the NW-2T16, the input Herschel interacts with the transparent long boat at T = –2.
  • In the L122 and "pseudo-stable" HRx74B,[1][2] the input Herschel interacts with a block at T = 9.

Note that dependent conduits such as the F166, Lx200, and R49 do not actually depend on anything. They can be freely connected to any other conduits that fit, as long as the output Herschel evolves from its standard great-grandparent. The Fx158 is the only known case where a conduit's output Herschel has an alternate great-grandparent, which is incompatible with the dependent conduits' initial transparent block.

There are also conduits that can only be connected to a dependent conduit as the output Herschel's FNG would hit one of the catalysts such as the Fx119 output of Bx106, most suppressed versions of Fx119, Fx70 and the neo-Spartan form of Fx176. Likewise, there are also conduits that can only be connected to a independent conduit as the output Herschel's FNG is needed to clean up a leftover object, such as Bx106, Bx125, Bx222, BF20H, Lx86, F171 and the independent form of RR56H.

Some conduits can have lowered repeat times if the following conduit is dependent, as the FNG of the output Herschel is eaten in the conduit itself, such as F189 (where the repeat time can be decreased from 318 ticks to 118 ticks), Fx158, R126, the unsuppressed form of Lx73, and the Blockic form of R64.

See also

References

  1. Tanner Jacobi (October 14, 2022). Re: Thread for your speculative elementary conduits (discussion thread) at the ConwayLife.com forums
  2. Sphenocorona (December 29, 2020). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums

External links