Publisher's Synopsis
Excerpt from On a Conjecture of Micha Perles
Consider the dual analogues of the operations of stacking and forming bipyra mids. It can be shown [3] that, if P is a simplicial polytope and P' a simple polytope dual to P, then a polytope obtained by forming a pyramid over a facet of P is dual to a polytope obtained by truncating the corresponding vertex of P'. Also, [4] any bipyramid with basis P is dual to any prism with basis P'.
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