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 Rotation of a Single Point

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

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

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

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

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

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

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

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

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

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

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

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

The Tesseract (Hypercube)

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