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Date: Around 1993


Question:
Hi, again. I understand that a slice of my 4-d object would be a 3-d object, but can I put a series of 3-d objects together, and find an approximation of a 4-d object? I mean, with a lot of squares, one on the top of the other, I could get a cube. If I put many cubes on top of one another, would that be my 4d object? I guess not...



Replies:
There is a representation of a 4-D cube called a "tesseract." It is similar to what you have described but not exactly the same. Take a look at the book by Rudy Rucker I referred to in the previous note's responses.

Topper


In a very recent issue of the "Mathematics Teacher" (in the "letters" section) there is a student's account of attempts at constructing an image of a 5-dimensional extension of the cube; a diagram is included. This may have been related to an article in a previous issue that you should consider researching.

Tom Elsner



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