Paris Pamfilos, Putting the icosahedron into the octahedron,
Forum Geometricorum, 17 (2017) 63--71.
Abstract. We compute the dimensions of a regular tetragonal pyramid, which allows a cut by a plane along a regular pentagon. In addition, we relate this construction to a simple construction of the icosahedron and make a conjecture on the impossibility to generalize such sections of regular pyramids.
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