Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups (Q5903335)

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scientific article; zbMATH DE number 3985600
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Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups
scientific article; zbMATH DE number 3985600

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    Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups (English)
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    1983
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    In this short note the author illustrates an algorithm that generates the limit set of a Kleinian group generated by inversions in circles. As he notes it is not of universal validity but it is sufficiently general to enable him to describe some of the examples of the limit set first done in the classical Fricke-Klein text. He also notes that the illustrations in Fricke-Klein are inaccurate and thus somewhat misleading. The computer graphics which illustrate this algorithm are extremely well done and worth looking over carefully.
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    fractals
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    algorithm
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    limit set
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    Kleinian group
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    Fricke-Klein text
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    computer graphics
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