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POLYHEDRA & GRAPHS |
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If
a convex polyhedron with V vertices, A edges and C faces is projected
onto a sphere that contains it, a graph formed by V points is obtained (images
of the vertices) A lines between the points (images of the edges) and C
areas (images of the faces). This graph can also be projected onto a
plane. Euler’s theorem states that C+V=A+2. |
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What is the relationship between C and V in a convex polyhedron? | |
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Solution | |
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