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.

[ps file] [pdf]

Return to Forum Geom., 17 (2017) Table of Contents