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5-cube
EntityQ768387· pop 13· linked from 221 articles

Also known as penteract, 5-hypercube, decateron, deca-5-tope, Penteract

In five-dimensional geometry, a 5-cube (or penteract) is a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.

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Encyclopedic overview

10 sections
Contents
  • Related polytopes
  • As a configuration
  • Cartesian coordinates
  • Images
  • Projection
  • Symmetry
  • Prisms
  • Related polytopes
  • References
  • External links

In five-dimensional geometry, a 5-cube (or penteract) is a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.

It is represented by Schläfli symbol {4,3,3,3} or {4,33}, constructed as 3 tesseracts, {4,3,3}, around each cubic ridge.

Excerpted from Wikipedia’s “5-cube” article, available under the CC BY-SA 4.0 licence.

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