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Breadth and diameter of a convex hull

• To: MATHGROUP at CHRISTENSEN.cybernetics.net
• Subject: [mg432] Breadth and diameter of a convex hull
• From: rrigon at zeus.tamu.edu (Riccardo Rigon)
• Date: Thu, 26 Jan 1995 12:29:12 +0100

Dear Mathgrouper,
let have a convex hull, K, and let define  the diameter, D(K),  as the
greatest distance between any two points of K and the breadth, b(K), as the
least distance
between every pair of parallel straight lines enclosing K.

Suggestions about how to calculate them with Mathematica or references
about the suitable algorithms are welcomed.


Riccardo Rigon, Ph. D.

Civil Egineering Department
Texas A&M University
College Station, TX 77843
ph:  (409)-845-0335
fax: (409)-862-1542
e-mail: rrigon at zeus.tamu.edu