From: Dean Hickerson
Date: Tue, 12 Nov 1996 15:19:30 -0800 (PST)
Subject: 2g -> Herschel catalyses
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I've been looking at ways to inject the Herschels. It's easily done
using 3 gliders: the first 2 collide to form a B-heptomino and the
third deletes the first block. Also, Paul's stable glider reflectors
do it with just 1 glider, but the reactions are slow because of the need
to delete the beehive.
So I've been trying to use 2 gliders. Buckingham found one such reaction;
it's the beginning of his 2g->3g catalysis that's been used to build guns
from glider reflectors. (See the p460 in the stamp collection.) In this
reaction, 2 antiparallel gliders hit a block, producing an R-pentomino
relative which is catalyzed by a snake to rebuild the block and produce
a Herschel headed east in gen 59:
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This can only be fed into a Herschel-track if the first element is either
the 64-gen turn or the 119-gen glide reflection. Unfortunately both of
those require the spacing between successive Herschels to be fairly large.
In looking for other 2g->Herschel catalyses, the obvious place to
start is with the 3 2-glider collisions that produce B-heptominos.
But deleting the first block is difficult. For the 2 antiparallel
collisions I can't see how to do it. For the perpendicular collision
it can be done using a unix or a blocker; for the latter the first
output glider must also be deleted:
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I haven't found a way to delete the block using only stable stuff. But
I have found catalyses of 2 other 2-glider collisions that produce
Herschels:
In one, based on an 8+ collision, a B is produced in gen 78; it then
interacts with a block and a snake as described by Buckingham to
produce a Herschel headed east in gen 137. (Unfortunately his
B->Herschel reaction won't work with any of the 2g->B collisions.)
There are 2 versions of this, depending on which of the 2 eaters on the
left is used; if the bottom one is used then an extra glider is sent
northwest.
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In the other catalysis, based on a 4- collision, an R-pentomino is
produced in gen 50, which undergoes one of Buckingham's R->Herschel
catalyses; the resulting Herschel is headed north in gen 137:
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