Question

C. Carathéodory proved that, given a collection S of at least
n + 1 points in R^2, a point z is in the convex hull of S if and only if it is in
the convex hull of at most n + 1 such solutions from S. Using the points
P = {(1, 1), (2, 5), (3, 3), (4, 6), (5, 2), (6, 3)}, where n = 2, show that the solution (3, 2) can be
written as the convex combination of at most 3 of the extreme points.

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Advanced Math

Theory Of Curves

Vector Calculus

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