We study the structure of space-filling bearings (SFB) and Apollonian packings (AP) by determining the scaling behavior of the density distribution of points where the circles touch each other. Application of the sand box method to the average of the qth power of the number of touching points reveals the multifractal aspects of the structure of SFB and AP.
- Apollonian packing
- space-filling bearings
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics