Ask A Scientist Mathematics Archive

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...  
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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
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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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