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Parametric Analysis in Geometric Pattern Designs
Rabia Karahan

A method for the analysis of metamorphosis in traditional Islamic patterns using a parametric model is presented. The method uses traditional pattern geometry from Kharraqan Eastern Gonbad, built during the Seljuk period in Persia, as a starting point and performs an analysis of pattern’s fundamental units and cells and presents metamorphosis operation based on parametric variations of geometry. The original geometric pattern's fundamental shape is an angled gammadion cross, which can be interpreted as a central cross with 1 breaking point. The cross is broken on the intersections with circles of a defined radius from the center point. By multiplying the number of the offset circles, we can add more breakpoints to the pattern definition. By changing the radius of the offset circles, the core motif changes because of the altering positions of the breakpoints. Moreover, by rotating the circles on which the breakpoints are defined, the core motif creates different variations. Pattern
thickness can be set by changing the offset value of the core motif. The interpreted parametric motif is morphed on an unevenly divided panel of 30*90 cm.

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