Were any Egyptian pyramids designed to be half an octahedron?
Upvote:-1
I suppose the gist of this questions is whether the faces of the pyramids are equilateral triangles. The answer to this question is "no", the faces of the pyramids are not equilateral triangles.
Upvote:5
For a pyramid to be "half an octahedron", its height must be the width divided by sqrt(2).
Examination of the List of Egyptian pyramids shows that this is not the case.
E.g.,
- Sneferu:
220/(105*sqrt(2)) = 1.481557 - Khufu:
230.3/(146.6*sqrt(2)) = 1.110823 - Menkaure:
103.4/(65.5*sqrt(2)) = 1.116257
i.e., they are flatter than "half an octahedron".
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