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The Tesseract (Hypercube)

The Tesseract (Hypercube). A guided demonstration*. * This PowerPoint is an adaptation of the demo written in March, 1994 by Olaf Holt at the Geometry Center found online at: http://www.geom.uiuc.edu/docs/outreach/4-cube/. How to Make a Tesseract. X-Y-Z Hyperplane. X-W Plane.

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The Tesseract (Hypercube)

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  1. The Tesseract (Hypercube) A guided demonstration* * This PowerPoint is an adaptation of the demo written in March, 1994 by Olaf Holt at the Geometry Center found online at: http://www.geom.uiuc.edu/docs/outreach/4-cube/

  2. How to Make a Tesseract

  3. X-Y-Z Hyperplane X-W Plane Rotation of a Single Point

  4. X-Y-Z Hyperplane X-W Plane Rotation of a Segment

  5. X-Y-Z Hyperplane X-W Plane Rotation of a Square

  6. X-Y-Z Hyperplane X-W Plane Rotation of a Cube

  7. X-Y-Z Hyperplane X-W Plane Rotation of a Tesseract

  8. Further Details . . . • A new perspective The tilted Tesseract • Components A look at each of the 8 cubes in rotation • Additional Information • Contact information • Additional software programs

  9. X-Y-Z Hyperplane X-W Plane A Tilted Tesseract

  10. X-Y-Z Hyperplane X-W Plane Cubes Rotating on the “X” Axis

  11. X-Y-Z Hyperplane X-W Plane Cubes Rotating on the “Y” Axis

  12. X-Y-Z Hyperplane X-W Plane Cubes Rotating on the “Z” Axis

  13. X-Y-Z Hyperplane X-W Plane Cubes Rotating on the “W” Axis

  14. X-Y-Z Hyperplane X-W Plane Eight Tilted & Rotating Cubes

  15. For more information . . . • GeomView • NDdemo • Ndview • Email holt@geom.umn.edu

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