Models of the real projective plane : computer graphics of Steiner and Boy surfaces
Author(s)
Bibliographic Information
Models of the real projective plane : computer graphics of Steiner and Boy surfaces
（Computer graphics and mathematical models）
Friedr. Vieweg & Sohn, c1987
Available at / 39 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/Ap6412070070392
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Note
Bibliography: p. 116-118
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"