Leonhard Euler and his three "great" friends
The Pythagorean brotherhood and Plato's atomic theory
Kepler's polyhedral universe
Platonic solids, gold balls, Fullerenes, and geodesic domes
A stroll through Königsberg
Cauchy's flattened polyhedra
Planar graphs, geoboards, and brussels sprouts
New problems and new proofs
Rubber sheets, hollow doughnuts, and crazy bottles
Are they the same, or are they different?
Combing the hair on a coconut
When topology controls geometry
The topology of curvy surfaces
Navigating in n dimensions
Henri Poincaré and th ascendance of topology
The million-dollar question.
