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Errata to “Crystallographic groups of four-dimensional space”: Bull. Amer. Math. Soc. (N.S.), Volume 3, Number 1, Part 1 (1980), 777--777
Full text of review: PDF
Book Information:

Authors: Harold Brown, Rolf Bülow, Joachim Neubüser, Hans Wondratschek and Hans Zassenhaus
Title: Crystallographic groups of four-dimensional space
Additional book information: Wiley, New York, 1978, xiv + 443 pp., $38.90.

References [Enhancements On Off] (What's this?)

  • N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles, No. 1337, Hermann, Paris, 1968 (French). MR 0240238
  • J. J. Burckhardt, Der Briefwechsel von E. S. von Fedorow und A. Schoenflies, 1889–1908, Arch. History Exact Sci. 7 (1971), no. 2, 91–141 (German). MR 1554140, 10.1007/BF00411807
  • H. S. M. Coxeter, Discrete groups generated by reflections, Ann. of Math. (2) 35 (1934), no. 3, 588–621. MR 1503182, 10.2307/1968753
  • H. S. M. Coxeter, Regular and semi-regular polytopes. I, Math. Z. 46 (1940), 380–407. MR 0002181
  • H. S. M. Coxeter, Regular complex polytopes, Cambridge University Press, London-New York, 1974. MR 0370328
  • H. S. M. Coxeter [1978], Review of Three-dimensional nets and polyhedra, by A. F. Wells, Bull. Amer. Math. Soc. 84, 466-470.
  • Donald W. Crowe, The geometry of African art. I. Bakuba art, J. Geometry 1 (1971), 169–182. MR 0490658
  • Donald W. Crowe, The geometry of African art. II. A catalog of Benin patterns, Historia Math. 2 (1975), 253–271 (English, with German summary). MR 0490659
  • Patrick Du Val, Homographies, quaternions and rotations, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. MR 0169108
  • E. S. Fedorov [1891], Zap. Imp. S. Petersburg Mineral. OBŠČ. (2) 28, 345-390.
  • L. Fejes Tóth, Regular figures, A Pergamon Press Book, The Macmillan Co., New York, 1964. MR 0165423
  • Leopold Flatto, Invariants of finite reflection groups, Enseign. Math. (2) 24 (1978), no. 3-4, 237–292. MR 519546
  • Ludwig Föppl [1914], Der Fundamentalbereich des Diamantgitters, Physikalische Z. 15, 191-193.
  • Michael Goldberg, On the space-filling heptahedra, Geom. Dedicata 7 (1978), no. 2, 175–184. MR 0500559
  • Caroline H. MacGillavry [1976], Fantasy and Symmetry-The periodic drawings of M. C. Escher, Abrams, New York.
  • Doris Schattschneider, The plane symmetry groups: their recognition and notation, Amer. Math. Monthly 85 (1978), no. 6, 439–450. MR 0477980
  • Doris Schattschneider, Tiling the plane with congruent pentagons, Math. Mag. 51 (1978), no. 1, 29–44. MR 0493766
  • W. Threlfall and H. Seifert, Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes, Math. Ann. 104 (1931), no. 1, 1–70 (German). MR 1512649, 10.1007/BF01457920

Review Information:

Reviewer: H. S. M. Coxeter
Journal: Bull. Amer. Math. Soc. 1 (1979), 792-794
DOI: http://dx.doi.org/10.1090/S0273-0979-1979-14673-1