Normals of a Dodecahedron

  • #1
402
1
Hello guys,

I need the normals of a Dodecahedron (fully symmetric 12 facets' polyhedron) given in rational numbers. I got tired searching the internet for that, so I expect something like:

{-Sqrt[1 + 2/Sqrt[5]], 0, 1/2 Sqrt[1/10 (5 - Sqrt[5])]]}

I tried Mathematica, but it gives 20 Faces for a Dodecahedron!!! Apparently there are repeated facets and it uses some systematic way to draw the Dodecahedron. The code I use to get the Facets in Mathematica is:

PolyhedronData["Dodecahedron", "Faces"]

Any help is highly appreciated.

Thanks.
 

Answers and Replies

  • #2
14,786
12,178
I'm afraid there is no way other than calculate the equations of all faces.
 

Related Threads on Normals of a Dodecahedron

Replies
6
Views
2K
Replies
2
Views
1K
Replies
10
Views
914
Replies
7
Views
6K
L
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
11K
  • Last Post
Replies
1
Views
588
Replies
4
Views
774
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
1
Views
5K
Top