## polyhedra

Noun

- plural form of
*polyhedron*

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- Of lost works by Archimedes we can identify the following: (I) investigations on
**polyhedra**mentioned by Pappus; (2) Archai, Principles, a book addressed to Zeuxippus and dealing with the naming of numbers on the system explained in the Sand Reckoner; (3) Peri zygon, On balances or levers; (4) Kentrobarika, On centres of gravity; (5) Katoptrika, an optical work from which Theon of Alexandria quotes a remark about refraction; (6) Ephodion, a Method, mentioned by Suidas; (7) Peri sphairopeoia, On Sphere-making, in which Archimedes explained the construction of the sphere which he made to imitate the motions of the sun, the moon and the five planets in the heavens. - He shows how to inscribe the five regular
**polyhedra**within it. - (4) On the inscribing of each of the five regular
**polyhedra**in a sphere. - Incidentally Pappus describes the thirteen other
**polyhedra**bounded by equilateral and equiangular but not similar polygons, discovered by Archimedes, and finds, by a method recalling that of Archimedes, the surface and volume of a sphere. - Stevinus was the first to show how to model regular and semiregular
**polyhedra**by delineating their frames in a plane.

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