TY - GEN A1 - Springborn, Boris A. T1 - A unique representation of polyhedral types N2 - It is known that for each combinatorial type of convex 3-dimensional polyhedra, there is a representative with edges tangent to the unit sphere. This representative is unique up to projective transformations that fix the unit sphere. We show that there is a unique representative (up to congruence) with edges tangent to the unit sphere such that the origin is the barycenter of the points where the edges touch the sphere. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/103 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1039 ER -