How many vertices and faces are there in ?

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Reference no: EM13678794

Consider a simple convex polyhedron ? in R3 with N = 33 edges. Take a linear function L not equal to a constant on each edge of ?:
1) How many vertices and faces are there in ??
2) How many vertices of ? have index one with respect to L ?
Hint: use Dehn-Sommerville relations and its proof using a linear function.

Reference no: EM13678794

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