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Fractal Dimension of Apollonian Packing by Flaoeram is a document available to read on EtoBox.
This document summarizes a study that numerically estimated the fractal dimension of the Apollonian sphere packing to six decimal places. Researchers generated over 31 billion spheres with curvature less than 2-19 using two algorithms - an inversion algorithm and a Soddy algorithm. Plotting the number of spheres, summed curvature, and residual area against curvature on a log-log scale yielded estimates of the fractal dimension that converged to a value of approximately 2.4739465.
- Author
- Flaoeram
- Language
- EN