Apollonian Packing Constant Consider the two pictures below. Both packings are obtained by inscribing a disc of maximal radius in each gap left uncovered by previous iterations.
Every new disc is tangent to all existing discs it touches.
The set E can be shown to be of Lebesgue measure zero. It turns out that thanks to Larman and Boyd. Return to the MathSoft Constants page . Return to the MathSoft Unsolved Problems page . Return to the MathSoft home page .