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GENERATING FRACTAL PATTERNS BY USING p-CIRCLE INVERSION
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DOI：10.1142/S0218348X15500474.png)
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Abstract
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In this paper, we introduce the p-circle inversion which generalizes the classical inversion with respect to a circle (p = 2) and the taxicab inversion (p = 1). We study some basic properties and we also show the inversive images of some basic curves. We apply this new transformation to well-known fractals such as Sierpinski triangle, Koch curve, dragon curve, Fibonacci fractal, among others. Then we obtain new fractal patterns. Moreover, we generalize the method called circle inversion fractal be means of the p-circle inversion.
Keywords:
Circle Inversion
p-Circle Inversion
p-Distance
Fractals
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