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Regular partitions of space for conical similarity symmetry groups

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Literature Cited

  1. B. N. Delone, N. P. Dolbilin, and M. I. Shtogrin, “Combinatorial and metrical theory of planigons,” Tr. Mat. Inst. Steklov Akad. Nauk SSSR,148, 109–140 (1978).

    Google Scholar 

  2. M. I. Shtogrin, “Regular Dirichlet-Voronoi partitions for the second triclinic group,” Tr. Mat. Inst. Steklov Akad. Nauk SSSR,123 (1973).

  3. E. A. Zamorzaeva, “Classification of regular partitions of the plane for similarity symmetry groups,” Dokl. Akad. Nauk SSSR,247, 276–279 (1979).

    Google Scholar 

  4. E. A. Zamorzaeva, “Regular Dirichlet partitions for two-dimensional similarity symmetry groups,” Dokl. Akad. Nauk SSSR,260, 343–345 (1981).

    Google Scholar 

  5. A. M. Zamorzaev, É. I. Galyarskii, and A. F. Palistrant, Color Symmetry, Its Generalizations and Applications [in Russian], Shtiintsa, Kishinev (1978).

    Google Scholar 

  6. A. M. Zamorzaev, “On spatial similarity symmetry groups,” Dokl. Akad. Nauk SSSR,167, 334–337 (1966).

    Google Scholar 

  7. É. I. Galyarskii, “Conical groups of similarity symmetry and various kinds of antisymmetry,” Kristallografiya,12, 202–207 (1967).

    Google Scholar 

  8. A. M. Zamorzaev, “The derivation of three-dimensional similarity symmetry groups,” Dokl. Akad. Nauk SSSR,179, 836–839 (1968).

    Google Scholar 

  9. A. Temesvari, “On biregular partitions of the plane,” Proc. All-Union Symp. on Symmetry Theory and Its Generalizations [in Russian], Kishinev (1980), pp. 101–102.

  10. E. A. Zamorzaeva, “The finiteness of the number of faces of a polyhedron in a regular partition for a similarity symmetry group,” Izv. Akad. Nauk SSSR, Ser. Fiz.-Tekh. Mat. Nauk, No. 1, 48–49 (1983).

    Google Scholar 

  11. E. A. Zamorzaeva, “On regular partitions of space for conical similarity symmetry groups,” in: Proc. All-Union Symp. on Symmetry Theory and Its Generalizations [in Russian], Kishinev (1980), p. 49.

  12. B. N. Delone, “Proof of the fundamental theorem in the theory of stereohedra,” Dokl. Akad. Nauk SSSR,138, 1270–1272 (1961).

    Google Scholar 

  13. A. Temesvari, “Über doppelhomogene Zerlegungen,” Ann. Univ. Sci. Budapest, Sect. Math.,22–23, 163–196 (1979-1980).

    Google Scholar 

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  1. E. A. Zamoraeva
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Kishinev. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 5, pp. 42–49, September–October, 1984.

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Zamoraeva, E.A. Regular partitions of space for conical similarity symmetry groups. Sib Math J 25, 720–725 (1984). https://doi.org/10.1007/BF00968684

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