A polyhedron has $\displaystyle W$ vertices, while its net has $\displaystyle V$ vertices.

Show that $\displaystyle V=2(W-1)$ and calculate the sum of all plane angles in the polyhedron.

Ideas? (Headbang)

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- Feb 17th 2009, 03:09 AMatreyyuVertices in polyhedron
A polyhedron has $\displaystyle W$ vertices, while its net has $\displaystyle V$ vertices.

Show that $\displaystyle V=2(W-1)$ and calculate the sum of all plane angles in the polyhedron.

Ideas? (Headbang)