Spheres tangent to all the faces of a simplex |
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Authors: | George B Purdy |
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Affiliation: | Center for Advanced Computation, University of Illinois, Urbana, Illinois 61801 USA |
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Abstract: | There are at most 2n spheres tangent to all n + 1 faces of an n-simplex. It has been shown that the minimum number of such spheres is if n is odd and if n is even. The object of this note is to show that this result is a consequence of a theorem in graph theory. |
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