Alright. So we all know e (Euler’s number), we all know pi, phi, (the golden ratio, divine ratio, divine proportion etc.), and the square root of two in the lore of transcendental numbers; however, there is one such irrational number you may not know of: 1.13198824...

Where does this come from?

First you start with the Fibonacci Sequence. (1, 1, 2, 3, 5, 8, 13…) This sequence was originally derived from a problem about rabbits (I will not explain that here; that is a whole different node). What makes this sequence special is that each consecutive integer after the second one is equal to the sum of the two numbers prior and the ratio of any two numbers as you approach infinity approaches phi (or the golden ratio which is equal to 1.6180 33988 749894…. This is where it gets interesting-

50% chance of rain?

Take a coin. Flip it. The coin will land on heads 50% of the time and will land on tails 50% of the time. (This is not the actual distribution: The more tosses you do, the closer the distribution will get to this split) This process where there is no 100% certainty in the outcome of any one event converges at a given number- The number 1.13198824... helps to demonstrate this…