User:Tomruen/References

Reference

Euclid

• Euclid, Elements, English Translation by Heath, T. L.; (Cambridge University Press, 1956).

Eugène Catalan

• Eugène Catalan Mémoire sur la Théorie des Polyèdres. J. l'École Polytechnique (Paris) 41, 1-71, 1865.

Ludwig Schläfli

• Schläfli, L.; Theorie Der Vielfachen Kontinuität, Denkschriften Der Schweizerischen Naturforschenden Gesellschaft 38 (1901) pp1–237.

Thorold Gosset

• Thorold Gosset On the Regular and Semi-Regular Figures in Space of n Dimensions, Messenger of Mathematics, Macmillan, 1900

Alicia Boole Stott

• A. Boole Stott: Geometrical deduction of semiregular from regular polytopes and space fillings, Verhandelingen of the Koninklijke academy van Wetenschappen width unit Amsterdam, Eerste Sectie 11,1, Amsterdam, 1910

Coxeter

• Coxeter, H.S.M.; Regular Polytopes, (Methuen and Co., 1948).
  • Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8
• Coxeter, H.S.M. Longuet-Higgins, M.S. and Miller, J.C.P. Uniform Polyhedra, Philosophical Transactions of the Royal Society of London 246 A (1954), pp. 401-450. (JSTOR archive, subscription required).
• Coxeter, H.S.M.; Regular complex polytopes (1974).
• Coxeter, H.S.M.; Ten Toroids and Fifty-Seven hemi-Dodecahedra Geometrica Dedicata 13 pp87–99.
• Coxeter, H.S.M.; A Symmetrical Arrangement of Eleven hemi-Icosahedra Annals of Discrete Mathematics 20 pp103–114.
• Coxeter, H.S.M.; Du Val, P.; Flather, H. T.; and Petrie, J. F. The Fifty-Nine Icosahedra, 1st Edn University of Toronto (1938), 3rd Edn Tarquin Publications (1999).
• Coxeter, H.S.M.; The Beauty of Geometry: Twelve Essays (1999), Dover Publications ISBN 99-35678

• Kaleidoscopes: Selected Writings of H.S.M. Coxeter, editied by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [1]
  • (Paper 1) H.S.M. Coxeter, The Nine Regular Solids [Proc. Can. Math. Congress 1 (1947), 252-264, MR 8, 482]
  • (Paper 2) H.S.M. Coxeter, The Regular Sponges, or Skew Polyhedra [Scripta Mathematica 6 (1939) 240-244)]
  • (Paper 10) H.S.M. Coxeter, Star Polytopes and the Schlafli Function f(α,β,γ) [Elemente der Mathematik 44 (2) (1989) 25-36]
  • (Paper 17) H.S.M. Coxeter, The Evolution of Coxeter-Dynkin diagrams, [Nieuw Archief voor Wiskunde 9 (1991) 233-248]
  • (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10]
  • (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
  • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]

H.M. Cundy

• Cundy H.M and Rollett, A.P. Mathematical models, 2nd Edn. Oxford University Press (1961)

Norman W. Johnson

• Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, 18, 1966, pages 169–200. Contains the original enumeration of the 92 solids and the conjecture that there are no others.

Victor A. Zalgaller

• Victor A. Zalgaller (1969). Convex Polyhedra with Regular Faces. Consultants Bureau. No ISBN. The first proof that there are only 92 Johnson solids.

Magnus Wenninger

• Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9.
• Wenninger, Magnus (1983). Dual Models. Cambridge University Press. ISBN 0-521-54325-8.

John Horton Conway

• John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5

Robert Williams

• Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X.

Alan Holden

• Alan Holden Shapes, Space, and Symmetry. New York: Dover, 1991.

Branko Grünbaum

• Grunbaüm, Branko, and G. C. Shephard. Tilings and Patterns. New York: W. H. Freeman & Co., 1987. ISBN 0-7167-1193-1.

Peter Cromwell

• Cromwell, P. Polyhedra, Cambridge University Press (1997) Polyhedra

Pieter Hendrik Schoute

• Schoute, Pieter Hendrik (1911), "Analytic treatment of the polytopes regularly derived from the regular polytopes", Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam, 11 (3): 87 pp. [2] Googlebook, 370-381
• P. H. Schoute (1911), Analytical treatment of the polytopes regularly derived from the regular polytopes (Analytical treatment of the polytopes regularly derived from the regular polytopes. ed.), Amsterdam: J. Müller, OCLC 4871413

Internet

Eric Weisstein

• Eric W. Weisstein
  • MathWorld
• Weisstein, Eric W. "xxx". MathWorld.
  • Template:Mathworld

George Olshevsky:

• Template:GlossaryForHyperspace
  • Olshevsky, George. "456". Glossary for Hyperspace. Archived from the original on 4 February 2007.