Journal of Statistical Physics, Vol. 64, Nos. 3/4, 1991. p. 525-539.
We study the structure of space-filling bearings (SFB) and A,pollonian 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.