메뉴 건너뛰기




Volumn 17, Issue 4, 1997, Pages 449-478

Regular polytopes in ordinary space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031512056     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009304     Document Type: Article
Times cited : (45)

References (22)
  • 1
    • 0000819636 scopus 로고
    • Über die Bewegungsgruppen der euklidischen Räume: Erste Abhandlungen
    • L. Bieberbach, Über die Bewegungsgruppen der euklidischen Räume: erste Abhandlungen. Math. Ann. 70 (1910), 297-336.
    • (1910) Math. Ann. , vol.70 , pp. 297-336
    • Bieberbach, L.1
  • 2
    • 84963085140 scopus 로고
    • Regular skew polyhedra in 3 and 4 dimensions and their topological analogues
    • H.S.M. Coxeter, Regular skew polyhedra in 3 and 4 dimensions and their topological analogues. Proc. London Math. Soc. (2) 43 (1937), 33-62. (Reprinted with amendments in Twelve Geometric Essays, Southern Illinois University Press, Carbondale, IL, 1968, pp. 76-105.)
    • (1937) Proc. London Math. Soc. , vol.43 , Issue.2 , pp. 33-62
    • Coxeter, H.S.M.1
  • 3
    • 84963085140 scopus 로고
    • Southern Illinois University Press, Carbondale, IL
    • H.S.M. Coxeter, Regular skew polyhedra in 3 and 4 dimensions and their topological analogues. Proc. London Math. Soc. (2) 43 (1937), 33-62. (Reprinted with amendments in Twelve Geometric Essays, Southern Illinois University Press, Carbondale, IL, 1968, pp. 76-105.)
    • (1968) Twelve Geometric Essays , pp. 76-105
  • 6
    • 0040309886 scopus 로고
    • A combinatorial theory of Grünbaum's new regular polyhedra, part I: Grünbaum's new regular polyhedra and their automorphism group
    • A.W.M. Dress, A combinatorial theory of Grünbaum's new regular polyhedra, Part I: Grünbaum's new regular polyhedra and their automorphism group. Aequationes Math. 23 (1981), 252-265.
    • (1981) Aequationes Math. , vol.23 , pp. 252-265
    • Dress, A.W.M.1
  • 7
    • 0040309890 scopus 로고
    • A combinatorial theory of Grünbaum's new regular polyhedra, part II: Complete enumeration
    • A.W.M. Dress, A combinatorial theory of Grünbaum's new regular polyhedra, Part II: Complete enumeration. Aequationes Math. 29 (1985), 222-243.
    • (1985) Aequationes Math. , vol.29 , pp. 222-243
    • Dress, A.W.M.1
  • 9
    • 0039125760 scopus 로고
    • Regular polyhedra - Old and new
    • B. Grünbaum, Regular polyhedra - old and new. Aequationes Math. 16 (1977), 1-20.
    • (1977) Aequationes Math. , vol.16 , pp. 1-20
    • Grünbaum, B.1
  • 10
    • 84963097034 scopus 로고
    • Regular star-polytopes, and a theorem of Hess
    • P. McMullen, Regular star-polytopes, and a theorem of Hess. Proc. London Math. Soc. (3) 18 (1968), 577-596.
    • (1968) Proc. London Math. Soc. , vol.18 , Issue.3 , pp. 577-596
    • McMullen, P.1
  • 11
    • 0011504915 scopus 로고
    • Realizations of regular polytopes
    • P. McMullen, Realizations of regular polytopes. Aequationes Math. 37 (1989), 38-56.
    • (1989) Aequationes Math. , vol.37 , pp. 38-56
    • McMullen, P.1
  • 12
    • 0040309884 scopus 로고
    • Realizations of regular apeirotopes
    • P. McMullen, Realizations of regular apeirotopes. Aequationes Math. 47 (1994), 223-239.
    • (1994) Aequationes Math. , vol.47 , pp. 223-239
    • McMullen, P.1
  • 15
    • 33744678968 scopus 로고
    • Infinite series of combinatorially regular maps in three-space
    • P. McMullen, E. Schulte, and J.M. Wills, Infinite series of combinatorially regular maps in three-space. Geom. Dedicata 26 (1988), 299-307.
    • (1988) Geom. Dedicata , vol.26 , pp. 299-307
    • McMullen, P.1    Schulte, E.2    Wills, J.M.3
  • 18
    • 34250151317 scopus 로고
    • Reguläre inzidenzkomplexe, II
    • E. Schulte, Reguläre Inzidenzkomplexe, II. Geom. Dedicata 14 (1983), 33-56.
    • (1983) Geom. Dedicata , vol.14 , pp. 33-56
    • Schulte, E.1
  • 19
    • 84963019632 scopus 로고
    • On arranging regular incidence-complexes as faces of higher-dimensional ones
    • E. Schulte, On arranging regular incidence-complexes as faces of higher-dimensional ones. European J. Combin. 4 (1983), 375-384.
    • (1983) European J. Combin. , vol.4 , pp. 375-384
    • Schulte, E.1
  • 20
    • 33744618752 scopus 로고
    • Extensions of regular complexes
    • Finite Geometries
    • E. Schulte, Extensions of regular complexes. Finite Geometries, Lecture Notes in Pure and Applied Mathematics, Vol. 103. 1985, pp. 289-305.
    • (1985) Lecture Notes in Pure and Applied Mathematics , vol.103 , pp. 289-305
    • Schulte, E.1
  • 21
    • 84962991779 scopus 로고
    • Amalgamations of regular incidence-polytopes
    • E. Schulte, Amalgamations of regular incidence-polytopes. Proc. London Math. Soc. (3) 56 (1986), 303-328.
    • (1986) Proc. London Math. Soc. , vol.56 , Issue.3 , pp. 303-328
    • Schulte, E.1
  • 22
    • 0003298684 scopus 로고
    • Buildings of spherical type and finite BN-pairs
    • Springer-Verlag, Berlin
    • J. Tits, Buildings of Spherical Type and Finite BN-Pairs. Lecture Notes in Mathematics, Vol. 386. Springer-Verlag, Berlin, 1974.
    • (1974) Lecture Notes in Mathematics , vol.386
    • Tits, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.