nature's word : musings on sacred geometry

The Cube / Hexahedron

The Cube at a Glance

Number of faces:

4 squares

Number of edges:

12

Number of vertices:

8

Dihedral angle:

90′

Facial angle:

90′

Central angle:

70’32″

Elemental attribution:

Earth

Geometric dual:

octahedron

 

 

 Imaging the Cube:

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

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


ancient celtic model of the cube, carved in stone


an artist’s conceptualization of the cube


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

 

 

Proportions within the Cube

 

Proportions relative to edge length (if edge length equals one)

Insphere

Interspere

Circumsphere

Surface Area

0.5

0.707106781

0.866025404

 

1 divided by 2

1 divided by 

the square root

of 2

the square root

of 3 divided by 2

 

 

Proportions relative to insphere (if insphere radius equals one)

 Edge Length

Intersphere

Circumsphere

Surface Area

2

1.414213562

1.732050808

 

 

square root of 2

 square root of 3

 

 

Proportions relative to intersphere (if intersphere radius equals one)

 Edge Length

Insphere

Circumsphere

Surface Area

1.414213562

0.707106781

1.224744871

 

square root of 2

1 divided by

the square root

of 2

square root of 3

divided by the 

square root 

of 2

 

 

Proportions relative to circumsphere 

(if circumsphere radius equals one)

Edge Length

Insphere

Intersphere

Surface Area

1.154700538

0.577350269

0.816496581

 

four thirds times (the square root

of 3 divided by 2)

1 divided by 

the square root

of 3

the square root

of 2 divided by

the square root

of 3

 

 

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

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all materials copyright 2010, Aidrian O'Connor