Impossible Tile Puzzle Assemblies

0.55 times the width compares to the missing area? plus the side to side differences?

The one square area is 0.25 in^2. ID width of the frame is 4.5 inches. Area missing for seven-piece assembly is (5.000-4.945 ) X 4.500 = 0.055 X 4.500 = 0.2475 in^2. Not sure why it’s not exactly 0.25 in^2. Maybe the parts weren’t snapped together on the drawing. But that 0.055 inch gap height across the width of the frame should be the area of the missing square piece.

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That was not at all helpful in scratching said itchiness.

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Some of the gaps in the photos are due to warped Baltic birch, especially on part #1. I’ve tried two suppliers but both use Russian sources apparently.
If you’ve made the bevel specifically for one choice of the number of missing pieces, say two, and if you put a grid on the pieces, the grid lines can line up perfectly for the ten-piece and the eight-piece assemblies. However the grid lines will mismatch for the nine and seven-piece assemblies even though they fit in the frame. This could give the non-gridded pieces an advantage in mystifying.

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