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Four Dimensional Hypercube

For homework questions on the hypercube.

For a Sketchpad sketch of this done by Nicholas Jackiw.

For a Sketchpad sketch I did of a way of visualizing each of the cubes.

Salvador Dali: Crucifixion Hypercubus 

There is an old question where one is asked to connect three cities to three utility companies without crossing a line.  Well it cannot be done in the plane.  It can, however, be done on a torus.  Here is a small exploration of this idea and some extension.  It has always been amazing to me what a student will latch onto.  This project reflects the combine trinity of good student, helpful professor, and the internet linking us all.

The Tesseract - An Animated Introduction to Higher Dimensions,

by Olaf Holt.
Using MPEG animations, the author leads you step-by-step into the visualization of four dimensions.  I have gone through all the videos and they work fine.  (I can't say I really understand it, but it was pretty interesting.)

Outside In

by Silvio Levy.
This is a multimedia presentation describing the award-winning computer animation, Outside In, produced at the Geometry Center. The document includes animation sequences from the video, the complete script, valuable background material, and information about ordering the video.