@misc{BoeroeczkyHenk, author = {B{\"o}r{\"o}czky, Karoly and Henk, Martin}, title = {Random Projections of Regular Polytopes}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-2903}, number = {SC-97-21}, abstract = {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.}, language = {en} }