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Sharing some project planning phase: A (digital) ELECTRO-MECHANICAL Network

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RJSV:
   My mistake, (Sorry !!), was that the 'B' channel gets CLEARED, not SET !
For that you need the right- hand shown 'Overflow' gear.  Plus that ends the use of that space, previous not occupied...

   Photo shows: The Local output from each switch box will connect, by shaft, and end up powering the Virtual Motor, the type that positions each toggle.
With ratios like; 1:3 with 1:2 and another 1:2, that ends up being a 1 to 12 gear-down, and heck; I don't have any clue what I need there.
   Those two intermediate gears are, mainly, there just to transport the rotation over there, sideways.
The ratio 1 to 12 sounds OK, as I figured some toggle gears only move, like 5 teeth during the mode of switch transport, (expecting 200 to 400 mSeconds normal).

RJSV:
   Taking a minute's distraction, here is a mechanical
   ADJUSTABLE.  SIGNAL.  GENERATOR.

   Thinking about that 'Toggle' switch, you know: How about a 'feature' to stop in the middle, of travel of that TIP Gear; that's a no-load place, where the switch components are not pushing a gear load.

  Anyway, no time to think in-depth, but you could do some time divisions, and without (obvious) ratio gear-downs.   Some pretty nice Timing and (small) distance potential.
For example, your processor, smart AI, will trial out that a 240 milliSecond rotary impulse will cause a 300 mSec travel time (before the switch toggle lever drags to a stop).
   So your handy processor, ( like an Arduino) can keep a little table:  Maybe Station #7 has a glitch where it needs extra time.  Perhaps, then, Station #10 had been found to switch extra easy / fast...
   Temping diversion !

RJSV:
   There are various ways to have oscillation, the switch, in SPDT arrangement (double-throw) merely has an inverter in one path, both paths then connect to the switch positioned 'motor'.
With 300 mSec to complete movement, plus about another 200, for loop; that's 500 mSec at very best.  But then, you need 'recovery', that's where the machine puts itself back to starting condition, by returning the SPDT switch back (to ready state).
The way to get faster, is by using an alternating
'either-or' where there are 2 pulse sourcing bits of (gear) logic. Each could do a 150 mSec pulse, every second, so with both, you could have a 2 HZ CLOCK.

   To make even shorter, but controlled, pulses, the switch is 'prewound', which simply means that, during recovery time, some portion of the characteristic 150 mSec can be input: say '50 mSeconds' worth.  Then, the pre-conditioned timing can be used, soon, completing the full, disconnect that a single, 150 mSec
pulse is going to do.
Of course, you also don't want the sort-of 'tooth-grind' that may happen, at very tentative gear separation.

RJSV:
   Working on a pretty good wrap-up, at least this phase.  The layout has 3 segments, 'A', 'B', and 'C', and so is (ridiculous) very wide. It is a 2 layer deal; the lower layer of a switch is for positioning (i.e. 'Motor').
The upper layer, that's called a 'Reader' or 'Follower', as it can read out a toggle position, out of 0 or 60 degrees rotation from within stops.

   For fabrication plans, comparison shows one of those toys, has about 7 gears, roughly, in that little gear arrangement.  This Mechanical Logic Switch design will use approx. 14 gears, in the upper, reader stage.

   Plus, this Network Gear-box has, about 11 gears, in the lower, toggle positioner spaces.
So:...  That's approx.25 gears, compare with 2 toys, that's at approx. 14 regular type gears.  Point being, you are not in the 'quicksand', not yet anyway.
Also, notice I left out the 'C' channel, another 9 gears.

   That's 34 against what 2 of those robot toys have;  14
Not that bad, those gear boxes are tiny.

RJSV:
Picture showing:
   That's the 2 TOY gear layouts, with the path switching to demonstrate a very accurate look / size occupied, etc.  The 'Y' shaped layout, of both switch assemblies, is apparent.
Plus, there is a watch band set there as a pointer in photo: that gear, the band points to, on left, is a second gear, just placed there, to simulate roughly what the other layer would take up, in thickness overall.

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