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Interactive Hypercube II


  You will need to enable Java in order to use this demonstration.  

Please be patient while the applet is loaded (93K)...

Interaction Controls

Click on the "NEW DEMO" button at the left to start the demonstation. It may take a few moments to open the windows needed for this applet. You should eventually get two new windows: the "Controls" window and the "3D Graph" window.

Once the "3D Graph" window opens, you may want to use the "Graphics" menu to make the lines thicker, and the "Controls" menu to zoom in on the hypercube before proceeding.

Drag with the mouse in the graph window to rotate the hypercube in three-space.

The "Controls" window lets you rotate the hypercube through four-space: use the u and v controls to rotate in two different planes in four dimensions. Pressing the single-arrow buttons changes the value of the indicated variable; pressing the double-arrow keys animates the change to the variable through its complete range lf values.

This hypercube is actually a coarsely parameterized torus. The values of c and d control how many divisions to use around the two circles that form the torus. A value of 4 makes a cube; larger values will make the parameterization more toroidal.

When you are done with the demonstration, choose the "Exit Demo" menu item from the "Windows" menu of the "Controls" window. The applet will not exit until you do so.

Mathematics Awareness Month is sponsored each year by the Joint Policy Board for Mathematics to recognize the importance of mathematics through written materials and an accompanying poster that highlight mathematical developments and applications in a particular area.