Fractal curves in higher-dimensional space from functional equations (Q1199889)
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scientific article; zbMATH DE number 96220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractal curves in higher-dimensional space from functional equations |
scientific article; zbMATH DE number 96220 |
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Fractal curves in higher-dimensional space from functional equations (English)
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17 January 1993
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The author presents a general method for the construction of fractal curves in \(\mathbb{R}^{N+1}\) space \((N\geq 1)\). In this method, a fractal curve appears as a unique solution of a functional equation of a class. The fractal curves can have various shapes and their fractal dimension can take any value between 1 and \(N+1\).
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iteration
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systems of functional equations
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fractal curves
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