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References
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).
R. Arnheim, New Essays on the Psychology of Art (Berkeley: University of California Press, 1986) p. 253.
E.H. Gombrich, The Sense of Order: A study in the psychology of decorative art (Ithica NY: Cornell University Press, 1984) p. xii.
J.D. Barrow, The Artful Universe (Oxford: Clarendon Press, 1995) p. 104.
Barrow [4] p. 28.
See M. Senechal, Quasicrystals and Geometry (Cambridge: Cambridge University Press, 1995).
M.C. Escher, Escher on Escher: Exploring the Infinite (New York: Harry N. Abrams, 1989) p. 21.
L.B. Alberti, The Ten Books of Architecture. 1755 (reprint, New York: Dover Publications, 1986) p. 150.
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.
See D. Glass, Studies on Cosmatesque Pavements, British Archaeological Reports International Series, Vol. 82 (Oxford: British Archaeological Reports, 1980).
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).
Gombrich [3] p. 121.
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.
Gombrich [3] p. 9.
K. Williams, “Environmental Patterns: Paving Designs by Tess Jaray”, in Nexus Network Journal 2 (2000): 87–92, pp. 88–89.
T. Jaray, personal correspondence.
T. Jaray, “The Expressive Power of Brickwork”, in Architects Journal 6 (November 1997) pp. 6–7.
C. Alexander, 1977. A Pattern Language (New York: Oxford University Press, 1977) p. 1149.
Alexander [18] p. 1151.
Barrow [4], p. 245.
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© 2005 Springer-Verlag Berlin Heidelberg
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Moran, J.F., Williams, K. (2005). From Tiling the Plane to Paving Town Square. In: Emmer, M. (eds) Mathematics and Culture II. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26443-4_2
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