nature's word : musings on sacred geometry

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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