19 Photos - Feb 25, 2011
Photo: 3D models of Kemper polyhedra: generated from ordinary polyhedra by converting vertices to the plane through origin perpendicular to the vector to the  vertex.Photo: The six blue planes correspond to the 6 vertex pairs of the icosahedron; the 10 red planes, to the 10 vertex pairs of the dodecahedron; andPhoto: the 15 yellow squares, to the 15 pairs of edge midpoints of either icosahedron or dodecahedron. The one here shows both 6 blue + 10 red.Photo: This quite sandblasted model shows all 6+10+15 = 31 planes together.Photo: Only the red planes.  Notice the pentagrams!Photo: Here are 15 squares in 5 groups of 3 (colored differently).  Each group of 3 are the midplanes of a different cube.Photo: THe sandblast machine.Photo: Joachim the sandblasterPhoto: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: