TY - GEN A1 - Böröczky, Karoly A1 - Henk, Martin T1 - Random Projections of Regular Polytopes N2 - Based on an approach of Affentranger&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 fixed dimension, as $n$ tends to infinity. In particular, we present a precise asymptotic formula for the (spherical) volume of spherical regular simplices, which generalizes Daniel's formula. T3 - ZIB-Report - SC-97-21 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-2903 ER -