Models of the Real Projective Plane

In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.

Inhalt
1: Some Representations of the Real Projective Plane before 1900.- 1.1 Closed Surfaces.- 1.2 The Real Projective Plane.- 1.3 Steiner Surfaces.- 2: The Boy Surface.- 2.1 Embedded and Immersed Surfaces.- 2.2 Parametrization of the Boy Surface by Three Polynomials.- 2.3 How to Eliminate Whitney Umbrellas.- 2.4 A Boy Surface of Degree Six.- 3: More about Immersions in the 3-dimensional Sphere.- 3.1 Self-Transveral Immersions of the Real Projective Plane.- 3.2 Classification of Immersed Projective Planes of Boy Type.- 3.3 The Halfway Model.- Plate Index.- Plates.