MAM 00

April 2000Math Spans All Dimensions

The 0-dimensional portion of the image consists of points displayed along a curve spiraling out from a center.
As we reach the 1-d position, the curve itself comes into view as a 1-dimensional curve.Beginning at the 2-d position, the curve becomes the image of a 2-dimensional strip, which becomes wider and wider.When it reaches the 3-d position, the strip is replaced by a conical shell, with circular cross-sections centered on the curve. But mathematics does not stop there.At the 4-d position, the figure should become a 4-dimensional object, with spherical cross-sections centered on the continuation of the curve. Such an image is difficult to portray on a flat poster, but it can be represented, at least partially, by computer simulation.

MAM 00 Essays
Introducing Dimensions
Download PDF

MAM 00 Activities
Dimension Planes Demos
Interact with multiple dimensional planes in real time.
Try Now