Mosaics and their isometric embeddings

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 $Z_n$ isometrically or with scale $\lambda=2$. We also study some interesting infinite-dimensional hypermetric spaces.