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We discuss the problem of computing points of
whose
convex hull contains the Euclidean ball, and is contained
in a small multiple of it. Given a polytope containing the
Euclidean ball, we introduce its successor obtained by intersection
with all tangent spaces to the Euclidean ball, whose normals
point towards the vertices of the polytope.
Starting from the
ball,
we discuss the computation of the two first successors, and
give a complete analysis...
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