A 4D angle?

Nov 2009
468
14
I'm very sorry but I don't know where to put this because it's not really a task, merely something I thought of.

I recently heard about 3D 'angles' and how they function e.g. how you would describe a sphere shaped 3D radius.

However how would a 4D 'angle' look? I've been thinking about this and would it just look like a sphere inside a sphere or torus/doughnut? (ironic that the universe is hypothesized to be this shape :p)
 
Apr 2010
57
19
I'm very sorry but I don't know where to put this because it's not really a task, merely something I thought of.

I recently heard about 3D 'angles' and how they function e.g. how you would describe a sphere shaped 3D radius.

However how would a 4D 'angle' look? I've been thinking about this and would it just look like a sphere inside a sphere or torus/doughnut? (ironic that the universe is hypothesized to be this shape :p)
Virtually any mathematical principle can be applied to n dimensions. Generally we think of the dimensions as:

1D: Number line
2D: X-Y plots
3D: X-Y-Z planes/space

All of these can be drawn and imagined concretely. Math in the 4th, 5th, 100th dimension etc. is possible but there is no way to draw it. It can't be put on paper or even in a computer.
 
Apr 2008
748
159
The mystical 4th dimension is no new thing, it's been studied for about 200 years, there's a lot of information on Wikipedia if you're interested? link