I'm fascinated with higher spatial dimensions and have posted a couple of threads on NerdZone about them before, so here's another one.
This video helps to explain them very well, with some great graphics. Note that it's impossible to truly visualise or comprehend a 4D space, or to render it in our 3D space, but a 4D model can be fully described, manipulated and rendered on a computer. However, the video render will inevitably be a 3D shadow of the 4D shape since it's impossible to actually show it in our universe. Now, ain't that profound!
Note that physical dimensions can keep increasing all the way to infinity and they can all be rendered on sufficiently powerful computers, other than the infinite one, of course.
Here are links to a couple of earlier threads on higher dimensions:
nerdzone.uk
This video helps to explain them very well, with some great graphics. Note that it's impossible to truly visualise or comprehend a 4D space, or to render it in our 3D space, but a 4D model can be fully described, manipulated and rendered on a computer. However, the video render will inevitably be a 3D shadow of the 4D shape since it's impossible to actually show it in our universe. Now, ain't that profound!
Note that physical dimensions can keep increasing all the way to infinity and they can all be rendered on sufficiently powerful computers, other than the infinite one, of course.
Here are links to a couple of earlier threads on higher dimensions:
Higher dimensions behave in strange ways
This fascinating video by Zach Star explores the strange effects that higher physical dimensions have on shapes and volumes. It's quite counterintuitive in some places. For example, there are only 5 platonic solids in three dimensions. Do you think that number goes up or down in higher...
nerdzone.uk