Stage: 4 Challenge Level: 
There are thirteen axes of rotational symmetry of a unit cube. Describe them all.
This text is usually replaced by the Flash movie.
What is the average length of the parts of the axes of symmetry which lie inside the cube?
Mathematical reasoning & proof. Pythagoras' theorem. Mean. Cubes. Making and proving conjectures. Rotations. Reflections. Long problems. Games. Interactivities.
Published June 2004.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk