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Results

Figures 8 and 9 present a selection of finished computer-generated drawings. The first group, Figure 8, is made up of reproductions of well-known Islamic star patterns which can be found in Bourgoin [3] or Abas and Salman [2]. Figure 9 contains designs that do not appear in either of those sources. Three of them are based on polygonal tilings that do not seem to be used by any known designs. These last three are moderately successful, though they seem to lack the harmonious balance of the well-known designs. Still, in an artform with a thousand-year tradition, any sort of novel design is certainly of interest.

Figure 8: Some sample results based on well-known tilings from Islamic ornament. Each final design is based on the corresponding tiling in the top row.
\includegraphics [height=1.36in,clip=true]{figures/31212_grid.eps} \includegraphics [height=1.36in,clip=true]{figures/4612_grid.eps} \includegraphics [height=1.36in,clip=true]{figures/b10_grid.eps} \includegraphics [height=1.36in,clip=true]{figures/b812_grid.eps}
(a) (b) (c) (d)

\includegraphics [width=3.08in,clip=true]{figures/31212_1.eps} \includegraphics [width=3.08in,clip=true]{figures/4612_1.eps}
(a) (b)
\includegraphics [width=3.08in,clip=true]{figures/b10_1.eps} \includegraphics [width=3.08in,clip=true]{figures/b812_1.eps}
(c) (d)

Figure 9: Sample results not found in the literature. The pattern in (a) is similar to one found in Abas and Salman [2, p. 93], using extended rosettes instead of ordinary rosettes. The other three patterns are based on previously unused tilings.

\includegraphics [height=1.33in,clip=true]{figures/as912_grid.eps} \includegraphics [height=1.33in,clip=true]{figures/csk5_1_grid.eps} \includegraphics [height=1.33in,clip=true]{figures/csk18_1_grid.eps} \includegraphics [height=1.33in,clip=true]{figures/csk9_grid.eps}
(a) (b) (c) (d)

\includegraphics [width=3.08in,clip=true]{figures/as912_1.eps} \includegraphics [width=3.08in,clip=true]{figures/csk5_1.eps}
(a) (b)
\includegraphics [width=3.08in,clip=true]{figures/csk18_1.eps} \includegraphics [width=3.08in,clip=true]{figures/csk9.eps}
(c) (d)


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Craig Kaplan 2000-08-16