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- W1645303102 abstract "This paper describe the spaces spanned by the angle sums of certain classes of polytopes, as recorded in the -vector. Families of polytopes are constructed whose angle sums span the spaces of poly- topes defined by the Gram and Perles equations, analogs of the Euler and Dehn-Sommerville equations. This shows that the dimension of the ane span of the space of angle sums of simplices is d 1 2 , and that of the combined angle sums and face numbers of simplicial polytopes and general polytopes are d 1 and 2d 3, respectively. A tool used in proving these results is the -vector, an angle analog to the h-vector." @default.
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- W1645303102 date "2005-08-31" @default.
- W1645303102 modified "2023-09-27" @default.
- W1645303102 title "Vector spaces spanned by the angle sums of polytopes" @default.
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