6

Part of 1983 Brazil National Olympiad

Problems(1)

max number of equal spheres touching a fixed equal one, no common points

Source: Brazilian Mathematical Olympiad 1983 P6

Show that the maximum number of spheres of radius

1

that can be placed touching a fixed sphere of radius

1

so that no pair of spheres has an interior point in common is between

12

14

geometry3D geometryspheremaximum