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arXiv · 1301.1378

Apollonian Circumcircles of IFS Fractals

József Vass
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Abstract

Euclidean triangles and IFS fractals seem to be disparate geometrical concepts, unless we consider the Sierpi\'{n}ski gasket, which is a self-similar collection of triangles. The "circumcircle" hints at a direct link, as it can be derived for three-map IFS fractals in general, defined in an Apollonian manner. Following this path, one may discover a broader relationship between polygons and IFS fractals.

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József Vass. 2013-01-08. Apollonian Circumcircles of IFS Fractals. https://arxiv.org/abs/1301.1378

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