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.
all materials copyright 2010, Aidrian O'Connor
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