Apollonian Circumcircles of IFS Fractals
Abstract
Euclidean triangles and IFS fractals seem to be disparate geometrical concepts, unless we consider the Sierpi\'nski 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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