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The Metaphysical Significance of Pi
July 22, 2008
As mentioned, the spiral needs to also contain a fractional part that represents the fractional component of Pi. How can we represent these fundamental Pi-based principles of cycles diagrammatically? The simplest way to create such a diagram is to use the Diophantine approximation5 for Pi:
22 7
.6
Pi (π) = 3.141593 22 7
= 3.142857
The difference between these two numbers is 0.001265 which is negligible in relation to our desired purpose. Our aim is to derive basic principles, and in this regard, exact mathematical precision is not required. But that said, the fraction
22 7
is the simplest fraction we can use for Pi
without sacrificing significant accuracy, and therefore it is admirably suited to our purposes. The next slightly more accurate fraction in the continued fractional representation of Pi is
179 57
, but this fraction is way too unwieldy to use
in the creation of our symbolic representation of Pi. In fact, this treatise demonstrates that the fraction
22 7
is of very special esoteric
The approximation of real numbers by rational numbers, named after Diophantus of Alexandria. 6 We could also use, for example, 25/8, or 223/71, or 256/81, or 339/108, or 355/113, etc, but they are not as inherently suitable as 22/7. 5
