Items related to Geometry of Four Dimensions (Classic Reprint)

Geometry of Four Dimensions (Classic Reprint) - Hardcover

Henry Parker Manning

 
9780365363514: Geometry of Four Dimensions (Classic Reprint)

Synopsis

Explore the geometry of four dimensions with a classic text that reveals how space can go beyond three dimensions.

This nonfiction work delves into the foundations, methods, and terminology of higher-dimensional geometry, presenting clear ideas about points, lines, planes, and the shapes that live in hyperspace. It blends historical context with precise reasoning to help readers understand how mathematicians model and study spaces beyond our ordinary world.

The book introduces the space of four dimensions, examines rotations and symmetry, and develops the language used to describe hyperplanes, angles, and polyhedroids. It also surveys regular figures, hypervolume, and the relationships among higher-dimensional objects, all grounded in rigorous, accessible explanations.

  • Foundational concepts for points, lines, planes, and higher-dimensional objects.
  • Angles, perpendicularity, and rotations in hyperspace.
  • Regular polyhedroids, nets, and the geometry of higher dimensions.
  • Historical context and terminology shaping the study of multi-dimensional geometry.

Ideal for readers interested in advanced geometry and the development of four-dimensional thought.

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