The Master Pyramorphix is a more complex variant of the Pyramorphix. Like the Pyramorphix, it is an edge-turning tetrahedral puzzle capable of changing shape as it is twisted, leading to a large variety of irregular shapes. Several different variants have been made, including flat-faced custom-built puzzles by puzzle fans and Uwe Mèffert's commercially-produced pillowed variant (pictured), sold through his puzzle shop Meffert's.
The puzzle consists of 4 corner pieces, 4 face centers, 6 edge pieces, and 12 non-center face pieces. Being an edge-turning puzzle, the edge pieces only rotate in-place, while the rest of the pieces can be permuted. The face centers and corner pieces are interchangeable, and the non-center face pieces may be flipped, leading to a wide variety of exotic shapes as the puzzle is twisted. If only 180° turns are made, it is possible to scramble only the colors while retaining the puzzle's tetrahedral shape.
In spite of superficial similarities, the puzzle is not related to the Pyraminx, which is a face-turning puzzle. The corner pieces are non-trivial; they cannot be simply rotated in-place to the right orientation.
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—Honoré De Balzac (1799–1850)