Conceptualizing higher dimensions...

[jasc15]

Stephen Hawking has said that even he cant comprehend higher than 3 dimensions in any intuitive way, only in a mathematical way. But in the course of studying advanced physics, does your intuitive understanding of higher dimensions grow at all, or do you just rely on the math???

[pervect]

I find that things like Euler's characteristic

http://en.wikipedia.org/wiki/Euler_characteristic

i.e. N = verticies - edges + faces

do more to help me "visualize" higher dimensions than, say, intrinsic curvature. Intrinsic curvature is a way of dealing with curvature without having to visualize it.

[Farsight]

I'm not sure many people try, but you can in part visualize higher dimensions. It's a little like those "spot the image" things in newspapers where you cross your eyes and a fuzzy colourful image clicks into 3D.

Search Google on Tesseract and Visualize.

http://mrl.nyu.edu/~perlin/demox/Hyper.html

[thoms2543]

one cannot fully understand the higher dimensions or lower dimensions. let try this, imagine that you are in 2nd dimension, not on the paper but an area in space.that mean u can only move forward,backward,left and right.like an ant.can you?or a point in space.