From Apollonian Circle Packings to Fibonacci Numbers
... Counting Curvatures of an Integer Packing The Kontorovich-Oh result above says that the number of circles with curvatures smaller than x is proportional to x1.3056. Since there are only x positive integers smaller than x, that means: in an integer packing, on average, each integer is hit many times ...
... Counting Curvatures of an Integer Packing The Kontorovich-Oh result above says that the number of circles with curvatures smaller than x is proportional to x1.3056. Since there are only x positive integers smaller than x, that means: in an integer packing, on average, each integer is hit many times ...
