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Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming
11
votes
Is every polytope combinatorially equivalent to the intersection of a simplex and a linear s...
Update: This answers the question without the extra condition on the subspace passing through the centre.
The answer is yes. The following stronger statement is an elementary fact of polyhedral geome …