Truncated Octahedron Article Index for
Truncated
 

Information About

Truncated Octahedron




The truncated octahedron is an Archimedean Solid . It has 8 regular hexagonal faces, 6 regular square faces, 24 vertices and 36 edges. Since each of its faces has Point Symmetry (or 180° rotational symmetry), the truncated octahedron is a Zonohedron .
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CARTESIAN COORDINATES

All Permutation s of (0, ±1, ±2) are Cartesian Coordinates of the Vertices of a Truncated Octahedron centered at the origin. The vertices are thus also the corners of 12 rectangles whose long edges are parallel to the coordinate axes.


GEOMETRIC RELATIONS


Truncated octahedra are able to Tessellate 3-dimensional space, forming an Andreini Tessellation . This tessellation can also be seen as the Voronoi Tessellation of the Body-centred Cubic Lattice .




RELATED POLYHEDRA


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