Geodesic
Mosaics and their isometric embeddings
Izvestiya. Mathematics , Tome 66 (2002) no. 3, pp. 443-462

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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. 
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     author = {M. Deza and M. I. Shtogrin},
     title = {Mosaics and their isometric embeddings},
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M. Deza; M. I. Shtogrin. Mosaics and their isometric embeddings. Izvestiya. Mathematics , Tome 66 (2002) no. 3, pp. 443-462. http://geodesic.mathdoc.fr/item/IM2_2002_66_3_a0/