Find a formula for each of the following

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Reference no: EM131074929

A k-pyramid Pk is the convex hull of a (k - 1)-polytope Q and a point x ∉ aff Q. Find a formula for each of the following in terms of fj (Q), j = 0,,,,,,, n - 1.

a. The number of vertices of Pn : f0(Pn).

b. The number of k-faces of Pn : fk (Pn), for 1 ≤ k ≤ n - 2.

c. The number of (n - 1)-dimensional facets of Pn : fn-1(Pn).

Reference no: EM131074929

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