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arxiv: 1301.1378 · v2 · pith:43SNEFLMnew · submitted 2013-01-08 · 💻 cs.CG · cs.GR

Apollonian Circumcircles of IFS Fractals

classification 💻 cs.CG cs.GR
keywords fractalsapolloniantrianglesbroadercircumcirclecircumcirclescollectionconcepts
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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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