Keywords
- Coxeter Group
- Cell Decomposition
- Regular Polyhedron
- Regular POLYTOPES
- Semisimplicial Complex
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References
N. Bourbaki: Groupes et Algebres de Lie. Chap. 4, 5, 6
H.S.M. Coxeter: Regular Polytopes. 3rd ed., Dover Publ. Inc., New York, 1973
M.S. Delaney: Quasi symmetries of space group orbits. Proceedings of the ZiF-Conference of Crystallographic groups, match, vol.9, p. 73–80 (1980)
A.W.M. Dress: Regular patterns, Proceedings of the ZiF-Conference of Crystallographic groups. match, vol.9, p. 81–100 (1980)
A.W.M. Dress and R. Scharlau: Zur Klassifikation äquivarianter Pflasterungen. Mitteilungen aus dem Mathem. Seminar Giessen, Heft 164, Coxeter-Festschrift, Giessen 1984
A.W.M. Dress: Zum Problem der regelmäßigen Flächenaufteilung, Anmerkungen zu M.C. Eschers Aufsatz "Regelmatige Vlakverdeling" aus der Sicht eines Mathematikers. Preprint, Bielefeld, 1984
A.W.M. Dress: A combinatorial theory of Grünbaum's new regular polyhedra, Part I: Grünbaum's new regular polyhedra and their automorphism group. Aeq. Math. 23 (1981), 252–265
A.W.M. Dress: A combinatorial theory of Grünbaum's new regular polyhedra, Part II: Complete Enumeration. to appear in Aeq. Math., 1984/85
B. Grünbaum: Regular polyhedra — old and new. Aequationes Mathematicae 16 (1977), 1–20
D. Quillen: Higher algebraic K-Theory I, in: Algebraic K-Theory I. Ed. H. Bass, Springer LN 341, 1973
C.P. Rourke; B.J. Sanderson: Introduction to piecewise linear topology. Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 69, Berlin-Heidelberg-New York 1972
J. Tits: A local approach to buildings, in: The Geometric Vein, The Coxeter Festschrift. Ed. Chandler Davis, B. Grünbaum, F.A. Sherk, New York-Heidelberg-Berlin 1981, 519–548
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© 1985 Springer-Verlag
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Dress, A.W.M. (1985). Regular polytopes and equivariant tessellations from a combinatorial point of view. In: Smith, L. (eds) Algebraic Topology Göttingen 1984. Lecture Notes in Mathematics, vol 1172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074423
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DOI: https://doi.org/10.1007/BFb0074423
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