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

The Platonic Solids
...the Cube

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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