2020/02/10 by Jerzy Kocik, Kocik, Jerzy · 1 citation
Mathematics · Physics and Astronomy · #28A80 #51M15 #52C26 #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Morphological variations and asymmetry
paper · pdf · doi:10.48550/arxiv.2002.04135
openalex publication_date 2020/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The depth function of three numbers representing curvatures of three mutually tangent circles is introduced. Its 2D plot leads to a partition of the moduli space of the triples of mutually tangent circles/disks that is unexpectedly a beautiful fractal, the general form of which resembles that of an Apollonian disk packing, except that it consists of ellipses instead of circles.