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| | The Regular Polyhedra |
 | | All polyhedra have dual figures, although these figures may not be polyhedra in the traditional sense: The dual figures of some polyhedra may have vertices, edges, and even faces at infinity, while the dual figures of other polyhedra may have coincident vertices, edges, or faces. |
 | | Because the two polyhedra have the same midradius (the distance from the center to the midpoint of any edge), each edge of the octahedron perpendicularly bisects a corresponding edge of the cube, and vice versa. |
 | | Experienced model-makers will find building the regular polyhedra to be old hat; this atlas is intended more to hook novice model-makers into acquiring an interest in these figures, so that they may later go on to build more elaborate figures of their own design. |
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