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Apollonian Circumcircles of IFS Fractals

2013/01/08 by J. Vass, József Vass, Vass, József
Computer Science · Mathematics · #28A80 (Primary) #52A27 (Secondary) #68U05 #Cellular Automata and Applications #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Graphics (cs.GR) #Mathematical Dynamics and Fractals #Neural Networks and Applications #cs.CG #cs.GR #msc:28A80 #msc:52A27 #msc:68U05

paper · pdf · doi:10.48550/arxiv.1301.1378

Submitted for publication. (Contains 8 pages with 4 figures.)

openalex publication_date 2013/01/08 · arxiv created 2015/04/16 · arxiv updated 2015/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Euclidean triangles and IFS fractals seem to be disparate geometrical concepts, unless we consider the Sierpiński 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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