WOLFRAM|DEMONSTRATIONS PROJECT

Euclid's Construction of a Regular Octahedron (XIII.14)

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step
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transparency
Let
K
be the center of an arbitrary sphere,
AC
and
BD
be two perpendicular diameters, and
LM
be the diameter perpendicular to the plane defined by
AC
and
BD
. Then
LABCDM
is a regular octahedron.