Higher Dimensional Geometry Math

Higher Dimensional

Higher-dimensional geometry considers the properties of figures with four or more dimensions. The fourth dimension is space with an extra dimension beyond the third, and it uses four coordinates, x, y, z, and w. Examples of four-dimensional shapes are the tesseract and the hypersphere.

• - Focuses on helping the reader to conceive of the fourth spatial dimension, and in particular discusses hypercubes and hyperspheres.
  
• - Philosophy, math, and cosmology related to the fourth dimension.
  
• - A discussion of rotation, levitation, wheels, and bodies of water. Classification of "rotatopes" (cubes, spheres, and cylinders), and a Java applet to visualize projections and intersections of the shapes. Includes book reviews, a glossary, link
  
• - Visual and mathematical descriptions of higher dimensional objects, with Java applets for displaying and rotating images such as Steiner surfaces, Klein bottles, and minimal surfaces.
  
• - Introduction to dimensions, multi-dimensional geometric units, and formulas for calculating higher-dimensional phenomena.
  
• - List of links to sites on people, books, art, java applets, games, and general information on the fourth dimension.
  
• - Tutorial which aims to give readers an understanding of the fourth dimension by having them use a java applet to rotate a cube and a hypercube to see multiple views of the shapes at once.
  
• - A short introduction to the fourth dimension, plus a hypercube java applet game.
  
• - Mathematical and computer programming oriented approach. Discusses wireframe rendering and ray-tracing.
  
• - The world of higher dimensions in math, physics, history and culture. Books, games and links.
  
  

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