Problems

David Hilbert captured the spirit:

“… a mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. …”

Here are a few problems I’ve enjoyed thinking about. A question mark (❓) marks one I haven’t solved yet.

• Classical Mechanics
  • Hanging Spring
  • Cycloids
  • The Rigid Sphere and The Ant
  • Anharmonic Oscillator
  • How to Throw a Labrys (On Paper)

• High Dimensional Geometry
  • Round Super Polytope (❓)