Regular Octahedron
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regular octahedron
[′reg·yə·lər ‚äk·tə′hē·drən] (mathematics)
A regular polyhedron of eight faces.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.
Octahedron, Regular
one of the five regular polyhedrons. An octahedron has eight faces (triangles), 12 edges, and six vertices; at each vertex four edges meet. If a is the length of an edge, then the octahedron’s volume is
.
The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive
Let us consider the
regular octahedron A that is dual to the cube of Section 5 (see Figure 3).
* Further exploration may continue with a regular octahedron focusing on the centers of its faces.
It is clear that regular octahedrons are dual solids to cubes (Fig.
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