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Volumn 25, Issue 3, 2001, Pages 419-444

On the number of facets of three-dimensional Dirichlet stereohedra I: Groups with reflections

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Indexed keywords


EID: 0035589244     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004540010082     Document Type: Article
Times cited : (6)

References (19)
  • 4
    • 0038971615 scopus 로고
    • How many faces has the largest space-filling polyhedron?
    • G. O. Brunner and F. Laves, How many faces has the largest space-filling polyhedron?, Krist. 147 (1978), 39-43.
    • (1978) Krist. , vol.147 , pp. 39-43
    • Brunner, G.O.1    Laves, F.2
  • 6
    • 0009344341 scopus 로고
    • A proof of the fundamental theorem of the theory of stereohedra
    • in Russian
    • B. N. Delone (or Delaunay). A proof of the fundamental theorem of the theory of stereohedra. Dokl. Akad. Nauk. SSSR 138 (1961), 1270-1272 (in Russian).
    • (1961) Dokl. Akad. Nauk. SSSR , vol.138 , pp. 1270-1272
    • Delone, B.N.1
  • 8
    • 25944434454 scopus 로고
    • Der fundamentalbereich des diamantgitters
    • L. Föppl. Der Fundamentalbereich des Diamantgitters. Phys. 15 (1914), 191-193.
    • (1914) Phys. , vol.15 , pp. 191-193
    • Föppl, L.1
  • 11
    • 0001946992 scopus 로고
    • Mathematische probleme
    • (D. Hilbert, ed.), Springer-Verlag, Berlin
    • D. Hilbert, Mathematische Probleme, in: Gesammelte Abhandlungen, Vol 3, (D. Hilbert, ed.), Springer-Verlag, Berlin, 1935, pp. 290-329.
    • (1935) Gesammelte Abhandlungen , vol.3 , pp. 290-329
    • Hilbert, D.1
  • 13
    • 84955863372 scopus 로고
    • Wirkungsbereichstypen einer verzerrten diamantkonfiguration mit kugelpackungscharakter
    • E. Koch and W. Fischer, Wirkungsbereichstypen einer verzerrten Diamantkonfiguration mit Kugelpackungscharakter, Krist. 135 (1972), 73-92.
    • (1972) Krist. , vol.135 , pp. 73-92
    • Koch, E.1    Fischer, W.2
  • 15
    • 0039747663 scopus 로고
    • Hilbert's 18 problem: On crystallographic groups, fundamental domains, and on sphere packing
    • Northern Illinois University, Dekalb, Illinois
    • J. Milnor, Hilbert's 18 problem: on crystallographic groups, fundamental domains, and on sphere packing, in: Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, Northern Illinois University, Dekalb, Illinois, 1974, pp. 491-507.
    • (1974) Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society , pp. 491-507
    • Milnor, J.1
  • 17
    • 0000637547 scopus 로고
    • The plane symmetry groups: Their recognition and notation
    • D. Schattschneider, The plane symmetry groups: their recognition and notation, Amer. Math. Monthly 85 (1978), 439-450.
    • (1978) Amer. Math. Monthly , vol.85 , pp. 439-450
    • Schattschneider, D.1
  • 19
    • 0040155876 scopus 로고
    • The structure of aggregates - A class of 20-faced space-filling polyhedra
    • F. W. Smith, The structure of aggregates - a class of 20-faced space-filling polyhedra, Canad. J. Phys. 43 (1965), 2052-2055.
    • (1965) Canad. J. Phys. , vol.43 , pp. 2052-2055
    • Smith, F.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.