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Topic: Tesseract Projected Along a Main Diagonal
Replies: 2   Last Post: Sep 16, 1994 1:44 PM

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Posts: 14
Registered: 12/6/04
Re: Tesseract Projected along a Main Diagonal
Posted: Sep 15, 1994 5:10 PM
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In article <348a6r$>,
(Daniel A. Asimov) writes:

Re: Tesseract Projected along a main diagonal.
Take the points of the tesseracts vertices to be 16 ordered quadruples
whose elements were either one or zero (0,0,0,0), (1,0,0,0), (0,1,0,0),
etc. Describe these quadruples in terms of 4 unit vectors, the first
pointing in the direction of the diagonal and the other 3 perpendicular to
the first and each other. Take the vertices described with this basis and
eliminate the components pointing in the direction of the diagonal. I
believe you are left with ordered triples in a space perpendicular to the
diagonal. Sketching it these triples seem to form a rhombic dodecahedron.

From Hop David
Ajo, Arizona

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