THE MAGNETIC DOT ENCYCLOPEDIA

Dual Polyhedra - Woot! Like

by: matt.scherf Follow


This is an example of the dual polydhedra of the Platonic solids. Inside the hexahedron (cube) frame is a ocatahedron (diamond). The octaahedron itself is made from squares and triangles.

You construct the dual polyhedron by taking the vertices of the dual to be the centers of the faces of the original figure. The edges of the dual are formed by connecting the centers of adjacent faces in the original. In this way, the number of faces and vertices is interchanged, while the number of edges stays the same.


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