sphericon 6 The Differential Geometry of the Sphericon
6. The total curvature of the SphericonAccording to the GaussBonnet Theorem, the total curvature of a smooth convex surface is 4. We can check that this statement holds for the more exotic curvature of the Sphericon. The Sphericon has four conepoints and two arcs of ziploci.Otherwise it has no curvature, since it can be assembled fromflat pieces without stretching. On to Sphericon page 7. Back to Sphericon page 5.

Welcome to the
Feature Column!
These web essays are designed for those who have already discovered the joys of mathematics as well as for those who may be uncomfortable with mathematics.
Read more . . .
Feature Column at a glance
