At 3/27/10 05:15 PM, Pure-Metal-UTA wrote:
Here, these two videos might help you with a better concept of dimensions... at least the first 10.
If you're brain hurts after, watch it again. It's easier to understand the second time around.
That takes time into account, and other concepts related to time and chance. When you're talking about spatial dimensions it gets more difficult to explain since we have no way of describing fourth dimensional space in our frame of reference. We have concepts of time and duration, so it's easy to combine space and time and view time as another dimension beyond space.
Pure spatial dimensional analysis is different from universal dimensional analysis because it mostly involves beings of different dimensional construction interacting with each other. Unless a three dimensional person is brought to a world of 4 dimensions and allowed to move withing 4 dimensional space, there is no way for us to really describe what 4 dimensional constructs and movement are.
Again, I suggest reading the book "Flatland" as it explains these ideas in an interesting way. A 2 dimensional being (a square) is visited by a 3 dimensional being (a sphere). The 2 dimensional being living in Flatland sees everything as lines, with a degree of luminosity which they learn to determine shape and distance of everything. When the sphere comes into the plane of flatland, it is seen as a flatlander would see a circle, however, this circle can grow and reduce in length and luminosity depending on how far the sphere goes through their plane of reference. The sphere is also able to go in and out of locked houses, cabinets, anything it wants because it is able to pull away from from the 2 dimensional plane of reference and go back in wherever it wants.
The sphere takes the square out of flatland and into spaceland, where the square can now view all of flatland because it is in another frame of reference. When it was in 2 dimensional space, it could only move in 2 dimensions, now that it is taken into 3 dimensional space, it can look straight at all of flatland and see everything in a different way. When the square asks the sphere what higher dimensional lands exist, the sphere gets angry and sends the square back to flatland, ignorant of his own theories being applied to higher dimensions because he himself cannot understand them only living in 3 dimensions.
The square has dreams about places called lineland and pointland where there are 1 dimension and 0 dimensions respectively, lineland having all of its inhabitants living in a line, side by side, not moving anywhere, only seeing what's directly in front of them as a point. And pointland just consisting of 1 being alone with nothing to see.
So, the formula of what we see and how we perceive it is that in our dimension, we see everything in the form of 1 dimension lower, arranged in our dimensional space. 0 dimensional being sees nothing. 1 dimensional being sees a point having 0 dimensions, 2 dimensional being sees lines having 1 dimension, 3 dimensional beings see planes having 2 dimensions. So a 4th dimensional being would theoretically see volumes having 3 dimensions that are arranged in 4 dimensional space in some way to create 4 dimensional objects. And unless we know what it's like to move through 4 dimensional space, we have no way of understanding the structures that can be created in their perfect forms.