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Not all of the work is done yet, and the thought-work has just begun, but I wanted to update with a screenshot of the concept of the Initial Trapezoid: the quadrilateral bounded by the green and red lines where the Remainder Line in orange, passing through a typical pair of remainders r0 and r1, intersects the lines y=-x and y=x+1 which are boundaries in the Zone Grid I have constructed, all skewed left (linear transformation) from my initial conception without affecting the intersection points.
The calculations continue, and examination of possible derivations has not yet begun.
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