TRUNCATED CUBE

The 'truncated cube', or 'truncated hexahedron', is an Archimedean solid. It has 6 regular octagonal faces, 8 regular triangular faces, 24 vertices and 36 edges.

Contents

Area and volume

Cartesian coordinates

Related polyhedra

See also

References

External links

Area and volume

The area ''A'' and the volume ''V'' of a truncated cube of edge length ''a'' are:
:
:

Cartesian coordinates

The following Cartesian coordinates define the vertices of a truncated hexahedron centered at the origin with edge length 2ξ:
: (±ξ, ±1, ±1),
: (±1, ±ξ, ±1),
: (±1, ±1, ±ξ)
where ξ = $sqrt2\; -\; 1$

Related polyhedra

Compare:

Cube

Truncated cube

cuboctahedron

Truncated octahedron

Octahedron

It shares the vertex arrangement with three uniform star polyhedrons:

(4.8/3.4/3.8/5)

(8/3.3.8/3.4)

(4.3/2.4.4)

See also

★

References

★ The Geometrical Foundation of Natural Structure: A Source Book of Design, , Robert, Williams, Dover Publications, Inc, 1979, ISBN 0-486-23729-X (Section 3-9)

External links

★

★ The Uniform Polyhedra

★ Virtual Reality Polyhedra The Encyclopedia of Polyhedra