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There is one line leading into the corner of the one dimensional line.

There are two lines leading into each corner of the two dimensional square.

There are three lines leading into each corner of the three dimensional cube.

There are four lines leading into each corner of the four dimensional tesseract.

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Now let's do the mathematical progression for which I said in the opening I must apologize. If you are like me you detest math on a page where the writer makes it sound as though any idiot can understand it. Why even his dog seems to be bored by its simplicity. And then he totally screws up the situation by being unable to put on paper that so "simple mathematical concept" in a fashion understandable to the readers. But, here we go anyway; because the more we know about a tesseract the more likely we are able to understand something about the makeup of a fourth dimensional object.

We must keep in mind that any dimensional universe can have no understanding of the real appearance of objects in a universe having more dimensions and only limited understanding of the real appearance of objects in a universe of fewer dimensions. Hence, we cannot understand what a tesseract looks like. But we have already some idea based upon the first pages of this paper. We have another hint not mentioned as of yet. That hint is this:

Any object has a shadow containing one dimension less than the object itself. Also, the missing dimension will always be the last dimension added. Ergo:

The shadow of a one dimension finite line will be nothing, leaving out the last dimension added- length.

The shadow of a two dimension square will be a finite line, leaving out the last dimension added- width.

The shadow of a three dimension cube will be a square leaving out the last dimension added- height.

The shadow of a fourth dimension tesseract will be a cube, leaving out the last dimension added- yuk (consisting of yik or yak just as height has up or down).

So now we know the shadow of a tesseract is a three dimensional cube. We can make such a shadow, but why bother when we all know what a cube looks    ...... continued on next page

© K. Appelget 2004

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Contact: K. Appelget
Email: KnMasumi@alltel.net
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