Infinite Dimensions

[Caleb]

I have been thinking, if you could possibly take a three dimetional object and put it into the second dimetion. Theoretically, that limited three dimentional object would spread out into infinity in the second dimetion. Then, if you take that infinite two dimetional object and put it into the first dimention, yet again it should be infinite. Now if you take that infinite first dimetional object and put it into the next dimention below, the zero'th dimetion, which technically does not exist?

Am I very confused or have I just lost my marbles?

[Mr Skeptic]

Well, when you reduce the dimensionality of an object you are usually taking the "image" of it in some way. For example, a 2D slice of a 3D object.

 

A zero dimensional object is a point, it exists but is very boring.

[granpa]

I have been thinking, if you could possibly take a three dimetional object and put it into the second dimetion. Theoretically, that limited three dimentional object would spread out into infinity in the second dimetion.

 

yes if the 2 dimensional object is infinitely thin.

 

if on the other hand it is quantized then it will squish to something very large but finite.