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Making Dice, Part 1 (Posted on 2003-03-31) Difficulty: 4 of 5
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?

See The Solution Submitted by Bryan    
Rating: 3.2500 (8 votes)

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Solution Solution | Comment 4 of 7 |
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
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