Eight points are placed on the surface of a sphere with a radius of 1. The shortest distance between any two points is greater than 1.2. How can the points be arranged?

Hint: They are not arranged as a cube. The cube would have an edge length of only 2/sqrt(3) = 1.1547.

The points are arranged into two squares on parallel planes. One square is roatated 45 degrees relative to the other. This shape is known as a square antiprism.

Edited on June 6, 2023, 10:44 pm

Posted by K Sengupta on 2023-06-06 22:43:41