Cusps of Gauss Mappings
Thomas Banchoff
Terence Gaffney
Clint McCrory
Web Version by
Daniel Dreibelbis
Preface
Table of Contents
Prelude: Gauss mappings of plane curves
Gauss mappings of surfaces
Example 1: The shoe surface
Example 2: Menn's surface
Example 3a: The perturbed monkey saddle
Example 3b: The handkerchief surface
Example 4: Surfaces of revolution
Example 5: Canal surfaces
Characterizations of Gaussian cusps
Part 1
Part 2
Part 3
Singularities of families of mappings
Projections to lines
Focal and parallel surfaces
Projections to planes
Singularities and extrinsic geometry
References
Movies