Mandalic geometry and square root - I
We turn now to the important topic of how mandalic geometry views square root.
Mandalic geometry recognizes two distinct kinds of square root:
The first is what modern Western mathematics commonly accepts as the square root of a number. Mandalic geometry is little concerned with this type of square root (and its definition) because as used now it relates either to the real number line or the imaginary number line (i.e., it is linear in reference) and does not apply to the higher dimensions with which mandalic geometry is principally concerned.
In mathematics, a square root of a number a is a number y such that y^2 = a, in other words, a number y whose square (the result of multiplying the number by itself, or y × y) is a. For example, 4 and −4 are square roots of 16 because 4^2 = (−4)^2 = 16. [Wikipedia]
The second type is a more comprehensive form of square root which is fully dimension-cognizant. It is based upon and refers to the geometric square and is applicable to both this 2-dimensional structure and all higher dimensional geometric structures which build upon it. The cube, for instance, is a 3-dimensional structure formed by six square faces related to one another in a particular manner. The two pair of diagonals of the cube additionally define two rectangles which are 2-dimensional geometric entities. Accordingly, this second type of square root can be applied effectively to the cube as well as to the square.
More about this to come.
