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.
all materials copyright 2010, Aidrian O'Connor
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