The 4th Dimension
Date: 2/10/96 at 15:39:37 From: Anonymous Subject: 4th Dimension, the Over-Sphere. In my Geometry class, about two weeks ago, we read the book, _Sphereland_. In it, when it talked about Overcubes and Overspheres, I couldn't visualize this. Even though I know we really shouldn't be able to see 4d figures, just as 2d creatures can't visualize 3d creatures, is there any way you could describe an oversphere? Thank you in advance, Mike L.
Date: 3/8/96 at 23:14:23 From: Doctor Jodi Subject: Re: 4th Dimension, the Over-Sphere. Hi Mike! Thanks for your question! I love thinking about the fourth dimension. For reading about the fourth dimension, there are a few other good books around. The classic, called _Flatland_ (by Edwin Abbott), talks mostly about a 2D world, but the 2D hero, a Square, also travels into a 1D world and has an encounter with a sphere that might help you relate to questions about the oversphere. Another book I'd particularly recommend is _Planiverse_, which talks about lots of technical details from zippers and doors to playing volleyball in a 2D universe. It's an awesome story and again should give you ideas about 4D. For pictures on the web, try http://www.uccs.edu/~eswab/hyprspac.htm which will give you a sense of what 4-D polyhedra, like the hypercube, the four-dimensional analogue of the cube, might look like. Good luck and please let us know how it goes! Feel free to write back with more questions! -Doctor Jodi, The Math Forum
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