Contact the author:
aoconnor|at|unitone|dot|org

The Platonic Solids
...the Dodecahedron

 The Dodecahedron at a Glance

Number of faces:
12 pentagons 
Number of edges:
30
Number of vertices:
20
Dihedral angle:
116'34"
Facial angle:
72'
Central angle:
41'49"
Elemental attribution:
Spirit
Geometric dual:
icosahedron
 
 
 Imaging the Dodecahedron:

(IMAGE REMOVED) small, basic animation (poorer quality, shorter download)

(IMAGE REMOVED) larger, more complex animation (higher quality, longer download)


ancient celtic model of the dodecahedron, carved in stone


an artist's conceptualization of the dodecahedron


net, or pattern, that can be used to create a dodecahedron from cardstock

 
 
Proportions within the Dodecahedron
 
Proportions relative to edge length (if edge length equals one)
Insphere
Intersphere
Circumsphere
Surface Area
1.11351636
1.309016994
1.401258538
 
 
phi divided by 
(phi divided by 2)
 
 
 
Proportions relative to insphere (if insphere radius equals one)
 Edge Length
Intersphere
Circumsphere
Surface Area
0.89805595
1.175570505
1.258408572
 
 
 
 
 
 
Proportions relative to intersphere (if intersphere radius equals one)
 Edge Length
Insphere
Circumsphere
Surface Area
0.76393202
0.85065081
1.070466269
 
1 divided by 
(phi divided by (phi divided by 2))
 
1 divided by
(phi divided by the
square root of 3)
 
 
Proportions relative to circumsphere 
(if circumsphere radius equals one)
Edge Length
Insphere
Intersphere
Surface Area
0.71364418
0.7946654472
0.934172359
 
 
 
phi divided by the
square root of 3
 

 Special thanks to Bruce Rawles for supplying the above listed proportional figures.

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