Beyond the Third Dimension. by Banchoff, Thomas F - 1990: Geometry, Computer Graphics, and Higher Dimensions.

First Edition. Contents include Introducing Dimensions; Scaling and Measurement (Exponent Patterns for Basic Building Blocks; Fold-out Models of Pyramids; The Geometry of the Binomial Theorem; Diagonals of Cubes in Different Dimensions; The Egyptian Triumph: The Volume of an Incomplete Pyramid), Slicing and Contours, Shadows and Structures (Shadows of Hypercubes; Higher-Dimensional Simplexes; Paleoecology and Data Visualization), Regular Polytopes and Fold-outs (Duals of Regular Polyhedra; The Search for Regular Ploytopes; The Self-Dual 24-Cell), Perspective and Animation (Viewing in Perspective; Schlegel Diagrams of Polyhedra; Animating the Hypercube; Stereographic Projection), Configuration Spaces (The Dimensionality of Rehabilitation Therapy; Dimensionality and Dance; Orbits of Dynamical Systems; Anthropological Sites and the Spaces of Circles; The Dimensionality of Stage Lighting; Wave Fronts and Focal Curves in the Plane; Wave Fronts in Three-Dimensional Space), Coordinate Geometry, Non-Euclidean Geometry and Nonorientable Surfaces (Möbius Bands, Real Projective Planes, and Klein Bottles), Further Readings, Index. Hardcover. 211 pages, illustrations including color; 24 cm. Author's dated presentation inscription "To the Fulton-Shepherd family" on flyleaf. Color pictorial dj has small ding at bottom front corner; minor wear; VG. stock#951/h.