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Fractal hedgehogs. (English) Zbl 1034.28004

In this paper the authors present (by Theorem 5) an interesting generalization of a fractal projective hedgehog theorem of Martinez-Maure. Further various hedgehogs are constructed using different parameters of Theorem 5. The hedgehog obtained in Theorem 5 presents fascinating approximate figures by assigning various numerical values to the parameters. It is also presented in Section 5 an algorithm which is implemented in C\(^{++}\).

MSC:

28A80 Fractals
26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
53A04 Curves in Euclidean and related spaces
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
65D15 Algorithms for approximation of functions
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