Characterization of the two-dimensional fivefold and sixfold lattice tiles

Author:

ZONG Chuanming1

Affiliation:

1. Center for Applied Mathematics, Tianjin University

Publisher

Mathematical Society of Japan (Project Euclid)

Reference33 articles.

1. [1] A. D. Aleksandrov, On tiling space by polytopes, Vestnik Leningrad Univ. Ser. Mat. Fiz. Him., 9 (1954), 33–43.

2. [2] U. Bolle, On multiple tiles in $E^{2}$, In: Intuitive Geometry, Colloq. Math. Soc. János Bolyai, 63, North-Holland, Amsterdam, 1994, 39–43.

3. [3] B. N. Delone, Sur la partition régulière de l'espace à 4 dimensions I, II, Izv. Akad. Nauk SSSR. Ser. VII, (1929), 79–110; 147–164.

4. [4] M. Dutour Sikirić, A. Garber, A. Schürmann and C. Waldmann, The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices, Acta Crystallogr. Sect. A, 72 (2016), 673–683.

5. [5] P. Engel, On the symmetry classification of the four-dimensional parallelohedra, Z. Krist., 200 (1992), 199–213.

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