Above:Solved
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The face turning octahedron without corners, transformed into the shape of Escher's solid.
The closest relative to this puzzle is the raptor morningstar from the same inventor. He changed the angle of the cuts and thereby hided the six central pieces of the predecessor. This leave just 2 types of pieces to solve for.
Edge length: 80 mm
Piece type signature: HC2[E3 X9][E3]
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