Perfect Shapes in Higher Dimensions


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Perfect Shapes in Higher Dimensions

Perfect Shapes in Higher Dimensions

Platonic solids 

The Platonic solids have been known since antiquity. It has been suggested that certain carved stone balls created by the late Neolithic people of Scotland represent these shapes; however, these balls have rounded knobs rather than being polyhedral, the numbers of knobs frequently differed from the numbers of vertices of the Platonic solids, there is no ball whose knobs match the 20 vertices of the dodecahedron, and the arrangement of the knobs was not always symmetric.

Animation Platonic Solids in All Dimensions

 

Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

Learn more : https://en.wikipedia.org/wiki/Regular_polytope

 

In this Video Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions.


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