The Net Advance of Physics:
POLYHEDRA

POLYHEDRA and POLYTOPES:

• General:
  • Symmetry, Crystals and Polyhedra Homepage by Steven Dutch [University of Wisconsin -- Green Bay]
  • Virtual Polyhedra by George W. Hart, with online graphics.
  • Polyèdres by Xavier Hubaut, with online graphics.
  • Polyhedra.mathmos.net by Chris Rycroft and Robert Whittaker [Mathmos.net]

  • Convex Figures and Polyhedra by L. A. Lyusternik [Boston: Heath, 1966]
  • Polyhedra Primer by Peter Pearce [New York: Van Nostrand Reinhold, 1978]
  • Dual Models by Magnus I. Wenninger [Cambridge, 1983]
  • Polyhedra by Peter R. Cromwell [Cambridge, 1997]
  • Polyhedra in physics, chemistry and geometry by Michael Atiyah and Paul Sutcliffe [Milan Journal of Mathematics 71, 33 (2003)]

  • Polynomial inequalities representing polyhedra by Hartwig Bosse et al. (2003/07)
  • Polyhedra, Complexes, Nets and Symmetry by Egon Schulte [2014/03]

• Types: FULLERENES;

• Type: ARCHIMEDEAN:
  • On the Archimedean or Semiregular Polyhedra by Mark B. Villarino (2005/05)

• Type: CUBIC:
  • Cubic Polyhedra by Chaim Goodman-Strauss and John M. Sullivan (2002/05)

• Type: PLATONIC:
  • Timæus by Plato (Jowett translation)

• Type: SIMPLICIAL COMPLEXES:
  • The amazing world of simplicial complexes by Oliver Knill [2018/04]

• Type: ZONOTOPES:
  • A Brief Survey on Lattice Zonotopes by Benjamin Braun and Andrés R. Vindas-Meléndez [2018/08]

• Aspect: POLYHEDRAL SPACES:
  • Lectures on polyhedral spaces by Anton Petrunin and Allan Yashinski [2014/05]

• Aspect: SHAPE:<
  • Notes on Shapes of Polyhedra by Richard Evan Schwartz [2013/09] ul>

  • Re: ART, ARCHITECTURE, ETC.:
    • Synergetics by R. Buckminster Fuller [New York: Macmillan, 1975]
    • An adventure in multidimensional space -- the art and geometry of polygons, polyhedra, and polytopes by Koji Miyazaki [New York: John Wiley, 1986]
    • Beyond the Cube by J. Francois Gabriel [New York: John Wiley, 1997]

  • Re: COMBINATORICS:
    • Map coloring, polyhedra, and the four-color problem by David Barnette [Washington DC: Math. Assoc. Amer., 1983]
    • A Brief Survey on Lattice Zonotopes by Benjamin Braun and Andrés R. Vindas-Meléndez [2018/08]
    • Polyhedral Geometry for Lecture Hall Partitions by McCabe Olsen [2018/08]

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  THE NET ADVANCE OF PHYSICS