Simplices with Equiareal Faces |
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| Authors: | P. McMullen |
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| Affiliation: | (1) Department of Mathematics, University College London, Gower Street, London WC1E 6BT, England p.mcmullen@ucl.ac.uk, UK |
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| Abstract: | If all the edges of a d -simplex T have the same length, then T is regular. However, if d geq 3 , then it is clear that the facets of T may have the same (d-1) -volume without T being regular. Here, the question of the extent to which the equality of r -volumes of the r -faces of T implies regularity of T is investigated, the case r = d-2 proving most fruitful. Received January 30, 1999. Online publication May 19, 2000. |
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