I get 1, 2, and 3 dimensions and their visual representations. For instance, 3-dimensional space has width, length, and depth but how about a 6-dimensional space, how can we grasp it in n intuitive manner free of mathematical analysis?
In: 8
It’s not really something that can be explained in an intuitive manner. As 3D beings, grasping dimension higher than that is actually really hard. The concept itself isn’t that hard.
So in 1 dimension we have a single line. In 2D we add a new line that is orthogonal (90 degrees) to the first line. In 3D we add another line to which is orthogonal to the previous ones.
So far it’s quite easy. After that comes the part the is hard to imagine and visualize. We can go up further in dimensions, by adding another line that is orthogonal to all the previous ones.
Calculating with it isn’t that much harder, since instead of x,y,z we now have lets say q and w as well. We can expand the logic from going from 2D to 3D to higher dimensions.
Latest Answers