Geir Agnarsson, Walter D. Morris
Abstract
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We investigate the structure of the Minkowski sum of standard simplices in ${\reals}^r$. In particular, we investigate the one-dimensional structure, the vertices, their degrees and the edges in the Minkowski sum polytope.
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We investigate the structure of the Minkowski sum of standard simplices in ${\reals}^r$. In particular, we investigate the one-dimensional structure, the vertices, their degrees and the edges in the Minkowski sum polytope.
Key concepts: Minkowski space, Minkowski addition, Combinatorics, Polytope, Mathematics, Minkowski's theorem, Geometry