## Most recent change of Tesseract

Edit made on March 18, 2009 by derekcouzens at 15:33:14

Deleted text in red /
Inserted text in green

WW

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