Unequal Circles
There are also a range of problems which permit the sizes of the circles to be non-uniform. One such extension is to find the maximum possible density of a system with two specific sizes of circle (a binary system). Only nine particular radius ratios permit compact packing, which is when every pair of circles in contact is in mutual contact with two other circles (when line segments are drawn from contacting circle-center to circle-center, they triangulate the surface). For six of these radius ratios it is also known that the densest packing must be one of the compact packings.
Read more about this topic: Circle Packing
Famous quotes containing the words unequal and/or circles:
“A distinction of property results from that very protection which a free Government gives to unequal faculties of acquiring it.”
—James Madison (1751–1836)
“Before the birth of the New Woman the country was not an intellectual desert, as she is apt to suppose. There were teachers of the highest grade, and libraries, and countless circles in our towns and villages of scholarly, leisurely folk, who loved books, and music, and Nature, and lived much apart with them. The mad craze for money, which clutches at our souls to-day as la grippe does at our bodies, was hardly known then.”
—Rebecca Harding Davis (1831–1910)