MathDB
max no of curvilinear sides by intersection of N circles

Source: TOT 430 1994 Autumn A J7 - Tournament of Towns

June 12, 2024
combinatoricscombinatorial geometry

Problem Statement

The figure FF is the intersection of NN circles (they may have different radii). Find the maximal number of curvilinear “sides” which FF can have. Curvilinear sides of FF are the arcs (of the given circumferences) that constitute the boundary of FF. (Their ends are the “vertices” of FF - the points of intersection of given circumferences that lie on the boundary of FF.)
(N Brodsky)