Hyperspace Structures: Exploring the Fourth Dimension
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Mpeg Movies and pictures illustrate: 1. The Hypercube: a 4 dimensional analogue of the cube. Details of its construction, along with movies of a spinning hypercube. 2. An "Inflated Hypercube": approximating the hypersphere. 3. Hyper-torus: Adding together three vectors, each rotating in 4-space with different frequencies and amplitudes, produces a trajectory along the surface of a hyper-torus. 4. How the models were produced: Details of the mathematics needed, and how to turn the numbers into an animation. 5. Useful references (recommended books).|
|Resource Types:||Graphics, Multimedia, Bibliographies|
|Math Topics:||Higher-Dimensional Geometry, Topology|
© 1994- The Math Forum at NCTM. All rights reserved.