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Three intersecting circles, one of sixth order and two of third order.
Rhombille Rex III is a puzzle with three intersecting circles.
The shape of the puzzle is the rhombille tiling, assuming that "shape" is defined as a regular tiling of a surface, this case of the Eucledian plane, just like regular shapes are tilings of the spherical surface.
Specifically, the puzzle is a corner turning rhombille tiling, the cutting depths are roughly equivalent to the Rex cube. Since the Eucledian plane isn't closed up like polyhedra, infinitely many circles would be needed for a full puzzle, but one six-fold and two three-fold corners represent most of the solving challange while being physically stable.
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