Random Projections of Regular Polytopesk
نویسنده
چکیده
Based on an approach of AAentranger&Schneider we give an asymptotic formula for the expected number of k-faces of the orthogonal projection of a regular n-crosspolytope onto a randomly chosen isotopic subspace of xed dimension, as n tends to innnity. In particular , we present a precise asymptotic formula for the (spherical) volume of spherical regular simplices, which generalizes Daniel's formula.
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تاریخ انتشار 1997