All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Re: Solution | Comment 5 of 7 |
Well, according to the answer given, may past solution gives the external angle 243.434948823 degrees (63.434948823 + 180), but a CNC machine doesn't make a 12 side dice from the inside (at least I haven't seen one), you have to give an external reference. But to prove my point, 360 - 243.434948823 = 116.565051177 degrees.

The angle that I used at my last solution (63.434948823 degrees) is the basis an icosahedron in Geodesic geometry, I have studied it for 8 years.
  Posted by Antonio on 2003-08-21 20:02:48
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information