Euclid's Construction of a Regular Octahedron (XIII.14)
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Let 
be the center of an arbitrary sphere, 
and 
be two perpendicular diameters, and 
be the diameter perpendicular to the plane defined by 
and 
. Then 
is a regular octahedron.
Contributed by: Milana Dabic (May 2011)
Open content licensed under CC BY-NC-SA
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"Euclid's Construction of a Regular Octahedron (XIII.14)"
http://demonstrations.wolfram.com/EuclidsConstructionOfARegularOctahedronXIII14/
Wolfram Demonstrations Project
Published: May 12 2011
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