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Below is a picture of a 3-D permutahedron sundial by Stefano Buonsignori (16th century) in the Medici collection presented by Museo Galileo. The permutahedra / permutohedra and the closely related associahedra are important families of convex polytopes.

What is the earliest known presentation of the 3-Dim permutahedron?

Sundial

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    $\begingroup$ Originally it was known as an Archimedean solid and more specifically as a truncated octahedron, so probably it would be better to ask or search for these names. $\endgroup$ – sand1 Jun 21 '17 at 11:25

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