Images for Mathematics

Euler's relation and convexity

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You can get persuaded of the the fact that convexity is unimportant for the validity of Euler's relation (Vertices - Edges + Faces = 2) by imagining to "squeeze" this polyhedron in its "belt". This operation doesn't change the number of vertices, edges and faces, but the convex polyhedron becomes concave.

The image belongs to the sections...:
Euler relation (3D geometry)


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