Most recent change of Tesseract
Edit made on March 18, 2009 by derekcouzens at 15:33:14
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HEADERS_END
[[[> IMG:tesseract.jpg ]]]
* Take a dot (zero dimensional object) and move it any direction. Result a straight line.
* Take a straight line (one dimensional object) and move it in a direction orthogonal to the first direction. Result a square.
* Take a square (two dimensional object) and move it in a direction orthogonal to both the first two directions. Result a cube.
[[[> IMG:tesseract.jpg ---- |>> Schlegel diagram of the Tesseract <<| ]]]
The Tesseract is the four dimensional hypercube or 4-cube.
* Take a cube (three dimensional object) and move it in a direction orthogonal to the other directions !!! Result a Tesseract.
In the picture Crucifixion (Corpus Hypercubus), Salvador Dali has painted a net of the Tesseract.
Pictures are normally a 2-dimensional representation of 3-dimensional objects. Dali had taken that convention one dimension higher.
[[[> IMG:corpus.jpg ]]]
The Tesseract is the four dimensional hypercube or 4-cube.
Notice that Dali has painted a shadow on the floor representing the net of a cube.
In the picture Corpus, Salvidor Dali has painted a 2-Dimensional representation of another 3-Dimensional projection of the Tesseract.
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Pictures are normally a 2-dimensional representation of 3-dimensional objects. Dali had taken that convention one dimension higher.
* http://en.wikipedia.org/wiki/Tesseract
* http://mathworld.wolfram.com/Tesseract.html