Apollonian Circumcircles of IFS Fractals
Computational Geometry
2015-04-20 v2 Graphics
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.
Keywords
Cite
@article{arxiv.1301.1378,
title = {Apollonian Circumcircles of IFS Fractals},
author = {József Vass},
journal= {arXiv preprint arXiv:1301.1378},
year = {2015}
}
Comments
Submitted for publication. (Contains 8 pages with 4 figures.)