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32 edges, we take that number times two which gives us 64 and add the number of lines (16) and we get 80 which is the number of edges in a hypertesseract, that is if anybody cares to know, because I am sure it will come up in everyday conversation if you just pay attention. (All you need do is wait for the right moment in the conversation, and then you pounce, saying "and by the way, did you know a hypertesseract has 80 edges." This is sure to win you great esteem and a number of admirers. Just watch the looks you get from others.) So now let's do the progression. A one dimension finite line has two edges. (One line forward and one line back all in the same line) A two dimension square has four edges. A three dimension cube has eight edges. A four dimension tesseract has 32 edges. And if anybody gives a damn A fifth dimension hyper tesseract has 80 edges. (32 edges of a tesseract times two = 64, plus the 16 connecting lines between the corners of the tesseract base and the mirror image tesseract top = 80) It is very important to remember that two-mirror-image-one-dimensional-finite-lines separated at their corners by two-other-mirror-image-finite-lines equals a two dimensional square. And, two-mirror-image-two- dimensional-squares separated at their corners by four-other-mirror-image- squares, or four lines, equals a three dimensional cube. And, two-mirror- image-three-dimensional-cubes separated at their corners by six-other- mirror-image-cubes, or eight lines, equal a tesseract. So, we must have those two cubes connected at their eight corners. Also, we must remember, in a two dimensional square there are two lines converging at the corners. In a three dimensional cube there are three lines converging at the corners. In a four dimensional tesseract there are four lines converging at the corners. So we must meet these criteria. Lets look at figure one. There are the two cubes separated by eight lines, and every corner has four lines converging. Now we must find if there are six cubes in the lines between the two cubes in figure one. ...... continued on next page Previous Page <-> Next Page |
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