2d - Area, 3d - volume, 4d - ?

[Bek]

Hello, everyone!

 

Can you explain me what can we measure in 4 dimensional space?

 

If, in 2d - Area, 3d - volume....

 

Thank you!

[Sato]

I think this might be a good reference: http://en.wikipedia.org/wiki/Four-dimensional_space.

[Bignose]

higher than 3-D, they tend to just apply the prefix 'hyper-' in front of the analogs. E.g. 'Hyper-volume', 'hyper-surface', 'hyper-sphere'.

[ajb]

As Bignose says, "hyper" is used a lot. Just "volume" is also often used in higher dimension.

[Orundellico]

As an example (and an inspiration), please find below the link to my 3D- and my 4D-version of the - normally 2D - game "Tic Tac Toe".

 

http://kanitrino.de/.../sonstiges.html

Edited April 22, 2012 by Orundellico

[Doom]

If we take the fourth dimension to be time, it's just a simple measure of Space-Time. Intuitively, we can say that how long does an object with volume V exist, and while in existance, how much space it takes up on average.

 

If you want to get a more intuitive feel of the 4th dimension, and possibly higher ones, try Googling "Imagining the 10th Dimension". Not a completely scientific way, but it has merits to it.