To familiarize herself with a CNC milling machine, a friend wants to make some 12-sided gaming dice (regular dodecahedrons) out of solid aluminum. Her question: what is the dihedral angle between any two adjacent faces?

The only angle where every face can be touching their sides (of every pentagon) is 63.434948823 degrees. So, 63.434948823 + 180 = 243.434948823 degrees from face to face in the external part of the dodecahedron

Posted by Antonio on 2003-08-21 19:46:48