The Cosmic Equation

The Cosmic Identity/Equation

One of the most interesting mathematical identities.

This ‘cosmic‘ identity works for all numbers (x) in the mathematical universe. And what is interesting is that we can link it to Pythagoras’s theorem. This means that for each number (x) we have a corresponding right angled triangle.

For example, if we make our number (x) equal Phi (Φ).

It is assumed in this article that (x) is always ≥ 1 and the (1/x) is always ≤ 1. And because of the ‘cosmic‘ nature of the numbers, we can write them down like this:

For every triangle, height (A) = 2, base (B) = x-1/x and hypotenuse (C) = x+1/x. This is shown in our example below, where x=Φ, 1/x = 1/Φ and, where A = 2, B = 1 and C = √5 (Square root of 5):

Cosmic Numbers

The following ‘cosmic’ numbers are interesting, because the number (x) minus its reciprocal (1/x) equals the numbers 1-9.

The following ‘cosmic’ numbers are interesting, because the square of the number (x) minus the square of its reciprocal (1/x) equals the numbers 1-9.

Metallic Means

Each cosmic number has a corresponding sequence of numbers, as you can see the first and second sequences are called Fibonacci and the Pell sequence. These sequences are known as the metallic means or silver means.

As you can see below, as these sequences approach infinity, the ratio of the last two consecutive numbers tends towards the number (x).

As you can see below, as these sequences approach zero, the ratio of the last two consecutive numbers tends towards the number (1/x).

Below we can see the importance of the number (4)