Are there Egyptian pyramids which were modeled to resemble half an octahedron? Do the angles of some pyramids correspond to angles of an octahedron?
For those who don't know what an octahedron is: http://en.wikipedia.org/wiki/Octahedron
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For a pyramid to be "half an octahedron", its height must be the width divided by
Examination of the List of Egyptian pyramids shows that this is not the case.
220/(105*sqrt(2)) = 1.481557
230.3/(146.6*sqrt(2)) = 1.110823
103.4/(65.5*sqrt(2)) = 1.116257
i.e., they are flatter than "half an octahedron".