Re: [math-fun] Platonic regular polyhedra with integer vertices ?

Octohedron and tetrahedron can also have integer vertices. I'm fairly sure that the dodecahedron and icosahedron cannot. On Sat, May 25, 2013 at 10:21 PM, Henry Baker <hbaker1@pipeline.com> wrote:

Which of the Platonic regular polyhedra can be embedded in 3D with integer vertices?

What are the coordinates?

(Here I'm talking about normal square Cartesian coordinates.)

Obviously the cube has the trivial embedding with the unit cube.

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