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A polyhedron embellished only with features that have both aesthetic and mathematical meaning.
-The surface is tiled with alternating triangles, each of which are a fundamental domain for the symmetry groups of the polyhedron, except that for the pentagrams had to take out a piece of each triangle so that the model is printable.
-The vertices are represented by spheres.
-The edges are represented by long thin cylinders.
-The face centers are marked by flat cylinders