There are really four dimensions, three which we call the three planes of Space, and fourth, Time.
Space is a collection of objects together with some notion of the distance between any two of those objects.
Commutative law of multiplication, ab= ba.
Rowan discovered quaternions resemble complex numbers, but instead of one new number, i, there are three: i, j, k.
The advantage of high- dimensional geometry is that it brings human visual abilities to bear on problems that are not initially visual at all.
Space is a collection of objects together with some notion of the distance between any two of those objects.
Commutative law of multiplication, ab= ba.
Rowan discovered quaternions resemble complex numbers, but instead of one new number, i, there are three: i, j, k.
The advantage of high- dimensional geometry is that it brings human visual abilities to bear on problems that are not initially visual at all.