# Dimension 4

iam sorry if this is crackpottery,but is it true that a 4 dimensional figure*called the tesseract has been constructed,i came across this over the net.*kindly rebuke me if iam not abiding with the rules of pf.

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dx
Homework Helper
Gold Member
What do you mean by "constructed"?

Cyosis
Homework Helper
Have a look at http://en.wikipedia.org/wiki/Tesseract it will probably answer all your questions. Assuming with constructed you don't mean built from wood.

i mean not exactly constructed,but is the tesseract true,i mean how can a 4d object be
drawn on paper.the link what you gave was where i saw earlier on tesseract,i want
a better explanation.

dx
Homework Helper
Gold Member
The tesseract is not a statement that can be "true" or "false". It's a mathematical object. A 4D object cannot be drawn on paper. The pictures you see of the tesseract are just projections, just like you can project a 3D object onto paper.

has the tesseract found its applications in various fields,and on what basis has this been
projected?,i mean considering what as the 4th dimension has this been projected?

Cyosis
Homework Helper

Projections to 2 dimensions

The construction of a hypercube can be imagined the following way:

* 1-dimensional: Two points A and B can be connected to a line, giving a new line segment AB.
* 2-dimensional: Two parallel line segments AB and CD can be connected to become a square, with the corners marked as ABCD.
* 3-dimensional: Two parallel squares ABCD and EFGH can be connected to become a cube, with the corners marked as ABCDEFGH.
* 4-dimensional: Two parallel cubes ABCDEFGH and IJKLMNOP can be connected to become a hypercube, with the corners marked as ABCDEFGHIJKLMNOP.