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A Pyraminx in a radically concave shape.

This puzzle is a collaboration with the inventor's son, who once again had an idea for a shape. The father designed and printed the puzzle.
It has the shape one get if you place a sphere on 4 corners of a cube, and set their radius to just intersect on the faces of the cube. The result is quite concave, which didn't leave a lot of room for mechanism inside the puzzle.
The four tips of the shape are the trivial tips of the pyraminx.



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