Mosaics and their isometric embeddings

摘要

The main result of this paper is an enumeration (given in the Table) of all mosaics T among the 165 mosaics presented in Chavey's catalogue [2] (which includes the most important classifications of mosaics) such that either T or the dual mosaic T is embeddable in Zn isometrically or with scale λ = 2. We also study some interesting infinite-dimensional hypermetric spaces.