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1 ) Start with the two halves of the Geminoid much, much farther apart.
2 ) We have a single-channel salvo of construction gliders made up of two sub-salvos.
3 ) Let's call the two sub-salvos the NW-Reflector-Constructor-building salvo and the SE-Reflector-Constructor-building salvo.
3b) Really let's call them NWRCS and SERCS for short, pronounced like "Newark's Cirques".
3c) (There were glaciers in Newark, New Jersey not long ago, so just pretend there are more mountains there.)
4 ) NWRCS always comes before SERCS, with some reasonable separation distance... maybe very short.
5 ) NWRCS and SERCS will each build a freeze-dried slow salvo off to the side of NWRC and SERC respectively.
5b) When triggered, these freeze-dried slow salvos will "relatively instantly" rebuild NWRC and SERC.
6 ) Whenever it's freshly rebuilt, SERC will include an eater on its construction lane.
6b) That takes care of not building the NWRCS recipe at SERC.
6c) We'll shoot down that NWRCS-Blocking Eater later.
7 ) The last instruction in NWRCS builds an absorbing eater on the actual NWRC.
7b) This SERCS-Blocking Eater absorbs every glider from SERCS that SERC copies to the construction arm.
7c) That takes care of not building the SERCS recipe at NWRC.
8 ) The tail end of SERCS will create a trigger glider for the SERC freeze-dried slow salvo.
8b) As it thaws, the SERCS slow salvo will shoot down and then rebuild SERC at a (2,1) offset.
8c) An early splitter in the SERC freeze-dried slow salvo will send a glider NW, chasing SERC.
8d) This NW glider will trigger the freeze-dried slow salvo built by NWRCS.
8e) That will rebuild NWRC at a (2,1) offset.
8f) It can't get rebuilt much earlier than that anyway, because SERCS is still going through SERC until about then.
9) There's still an NWRCS-Blocking Eater sitting in SERC, darn it.
9b) The NWRCS-Blocking Eater had to get shot down at just the right time...
9c) ... after NWRCS goes through SERC, but before SERCS gets there.
9d) I can't think of a really great way to to extract that eater destruct signal.
9e) The simplest mechanism might be half a dozen still lifes making an Exact-Timing Loop.
9f) Let's say it takes the NWRCs lead glider N ticks to go through NWRC and SERC and back to NWRC.
9g) Then it also has to take exactly N ticks to cycle around the Exact-Timing Loop.
9h) The one-time splitter and turners in the Exact-Timing Loop will be rebuilt along with NWRC and SERC.
10) Is there a Geminoid true (2,1) knightship design that's much simpler than this?
There! All done inside a count of ten... with a generous allowance for sub-items.