MathDB
TOT 361 1993 Spring O J4 ant crawls on a cube

Source:

June 10, 2024
combinatoricscubecombinatorial geometrygeometry3D geometry

Problem Statement

An ant crawls along the edges of a cube turning only at its vertices. It has visited one of the vertices 2525 times. Is it possible that it has visited each of the other 77 vertices exactly 2020 times?
(S Tokarev)