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From Tiling the Plane to Paving Town Square

  • Judith Flagg Moran
  • Kim Williams

Keywords

Geometric Pattern Sierpinski Gasket Pavement Design Penrose Tiling Indigo Blue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    See D.W. Crowe and D.K. Washburn, Symmetries of Culture: Theory and Practice of Plane Pattern Analysis (Seattle, WA: University of Washington Press, 1988).Google Scholar
  2. [2]
    R. Arnheim, New Essays on the Psychology of Art (Berkeley: University of California Press, 1986) p. 253.Google Scholar
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    E.H. Gombrich, The Sense of Order: A study in the psychology of decorative art (Ithica NY: Cornell University Press, 1984) p. xii.Google Scholar
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    J.D. Barrow, The Artful Universe (Oxford: Clarendon Press, 1995) p. 104.Google Scholar
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    Barrow [4] p. 28.Google Scholar
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    See M. Senechal, Quasicrystals and Geometry (Cambridge: Cambridge University Press, 1995).Google Scholar
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    M.C. Escher, Escher on Escher: Exploring the Infinite (New York: Harry N. Abrams, 1989) p. 21.Google Scholar
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    L.B. Alberti, The Ten Books of Architecture. 1755 (reprint, New York: Dover Publications, 1986) p. 150.Google Scholar
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    For more on the Cosmatesque pavements, see K. Williams, Italian Pavements. Patterns in Space (Houston: Anchorage Press, 1997) and K.Williams, The Pavements of the Cosmati. Pp. 41–45 in The Mathematical Intelligencer 19 (Winter 1997): 1, 41–45.Google Scholar
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    See D. Glass, Studies on Cosmatesque Pavements, British Archaeological Reports International Series, Vol. 82 (Oxford: British Archaeological Reports, 1980).Google Scholar
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    For Carlo Scarpa’s designs for the Querini-Stampalia, see F. Dal Co and G. Mazzariol, Carlo Scarpa 1906–1978 (Milan: Electa, 1984); S. Los and K. Frahm., Carlo Scarpa (Cologne: Benedikt Taschen Verlag, 1994); M. Mazza, Marta (ed.), Carlo Scarpa alla Querini Stampalia. Disegni Inediti (Venice: Il Cardo, 1996).Google Scholar
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    Gombrich [3] p. 121.Google Scholar
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    B. Grünbaum and G.C. Shephard, Tilings and Patterns (New York: Freeman, 1987) section 10.1. See also D. Schattschneider, “The Fascination of Tiling”, in M. Emmer (ed.), The Visual Mind (Cambridge MA: MIT Press, 1993) pp. 157–164.Google Scholar
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    Gombrich [3] p. 9.Google Scholar
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    K. Williams, “Environmental Patterns: Paving Designs by Tess Jaray”, in Nexus Network Journal 2 (2000): 87–92, pp. 88–89.Google Scholar
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    T. Jaray, personal correspondence.Google Scholar
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    T. Jaray, “The Expressive Power of Brickwork”, in Architects Journal 6 (November 1997) pp. 6–7.Google Scholar
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    C. Alexander, 1977. A Pattern Language (New York: Oxford University Press, 1977) p. 1149.Google Scholar
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    Alexander [18] p. 1151.Google Scholar
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    Barrow [4], p. 245.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Judith Flagg Moran
    • 1
  • Kim Williams
    • 2
  1. 1.Mathematics CenterTrinity CollegeHartfordUSA
  2. 2.Nexus Network JournalFucecchio, (Firenze)Italy

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