REGULAR INVERSIVE POLYTOPES

Corresponding to each regular asymptotic polytope P in hyperbolic n-space H n is an isomorphic figure °P in inversive (n1)-space I n−1 having many related metric properties. A regular inversive polytope °P has a ৵ৱ৬৩৶৯৴৭  and a ৺৩৬ৱ৽৻   , with 2 being its ৬ৱৰ৭৬৺৩৴ ৩৶৯৴৭ and 2  its ৩৶ৼৱৰ৭৬৺৩৴ ৬ৱ৻ৼ৩৶৫৭ . The values of  and   are determined for each regular inversive n-polytope.