Pi: The Whole is Greater than the sum of it's Parts

Pi is an obsession for some... did you ever wonder why?
 In the very popular movie, "Contact," based on the popular book by Carl Sagan, contact is made with alien's from another world. One thing leads to another and the aliens send a message about Pi. The main character and scientist from the movie, Ellie, does as the message say's and ends up decoding Pi. 

Pi has been the obsession of many people, scientists, mathematicians, and nerds in general since Geometry was first discovered.



If you are wondering why by this point it's because Pi is a very strange number. If you didn't already know or forgot, Pi is defined as the circumference of the circle and is rounded off to 3.14159 or just 3.14 for most things. It's really strange in quite a few ways but as far as the decimal is concerned Pi is infinite.

Pi, the circumference of a circle, repeats forever into it's decimal (3.14159 * infinity) as an irrational number. It is, so far as we can tell as a civilization, without logic and therefore unable to be understood or truly computed or measured. Isn't that strange?

So far, Pi has been calculated to more than a trillion decimal places with the use of computers but just about forty decimal is accurate enough to describe distances on subatomic levels, like in the nucleus of an atom, using mathematics.

Pi will work for any circle. The same number is always there out of millions, perhaps billions, of circles people and computers have measured.

Pi is also wholly irrational. This is largely the reason why people have become so obsessed with it. Pi has no pattern to it. It's decimal repeat's to infinite so far as anyone or any computer can tell and/as there is no pattern to it. If there was a pattern, or if we discovered a pattern, pi would no longer be irrational and we, as a civilization, could probably solve all physics and math problems to date. That is, the universe would basically be revealed to us. This could also be considered a technological singularity, due to the results it would produce. Unfortunately, as mentioned, no one has figured out Pi in the course of human history and civilization. 

Newton, Einstein, and computers are just three great intellects that have been unable to so far solve pi.

Most people who dedicate all or part of their lives to science do so because their core belief's center around the universe being logical, and therefore being able to be understood by humans. Science is essentially a system or method for determining facts. The system of science is and is based on logic (Postulates, theories, hypothesis, deduction, etc...) so it's somewhat embarrassing to have an irrational number such as pi.

The universe is supposed to be rational. If it wasn't how could we ever figure anything out? According to the rules of science, logic can be applied anywhere to figure out or solve a problem. But this hasn't worked with Pi. People have spent their whole lives trying to solve it in vain.

• Contradiction or Duality?
  

Can you imagine wasting a lifetime trying to solve this?:

A line is equivalent to a minimum of two points.

If you take a string (represented as a line) and fold into a circle then compare the distance around the circle (Circumference) with the original length of the line, then the circle's circumference will be approx. 3.14 (Pi π) times larger than it's diameter.

Unlike squares, triangles, and all angels in general, circles, or any curves for that matter, appear to be irrational in comparison.

If we take any measurable distance within the circle and try to divide it evenly into it's circumference, we will not get a whole number or the number we would expect to get with logic.

Common sense or logic tells us, when viewing the circle, that it can be divided equally into parts. However this is just simply not the case. The parts that we divide a circle into, no matter in how many different ways or combination's, never add up to equal the circumference of the circle.

Hence: The Whole is Greater than the Sum of It's Parts

The Importance of Sacred Geometry

When I first discovered Sacred Geometry, I didn't think much of it. It's easy to overlook it's significance, and most do. Sacred Geometry is not easily explained however there is one key feature that is present in all geometries that are said to be sacred: the key is called the ratio.
There are various ratio's and all of them are what you would call 'mysterious'. Pi would be my first example and the one you are probably most familiar with. If you can recall high school geometry for a moment, Pi is the circumference around a circle.

However Pi is very strange. As you might know, people sometimes become... obsessed with pi you could say. This is because, in spite of logic, Pi is wholly irrational. This really pisses smart people off sometimes who desire to know everything. To date, Pi is one of those things in existence which no one has been able to really explain.

Pi is just one ratio out of many but all the ratio's in sacred geometry, including pi, are direct explanations of the physical world. Basically, they represent patterns in nature. The circle for example, or Pi, is universal: All circles found in nature are similar and have the same ratio's.

The circle is generally overlooked in importance which is a shame. The few that do realize it's importance often become obsessed with it as well which is ironic however anyone can understand Pi or the circle because circles are everywhere.

Circles are a primary structure of reality. The sun, earth, and moon are circles for example. Machines often have circular parts as well. If you could understand the nature of a circle then you might better be able to understand how the wheel of a car turns.

A circle is essentially a line which have curved in on itself to become a loop. Other curved lines found in nature are generally referred to as logarithmic spirals.

Logarithmic spirals were first proposed by Rene Descartes. Rene Descartes was the guy who first said, "I think therefore I am." Personally I feel he is one of the most influential people in history and ranks higher than Da Vinci but you probably have your own opinions, if any but Descartes is definitely a recurring theme in my topics.

Logarithmic Spirals look like this:

This very pattern is found everywhere in nature, only typically we don't notice it. The pattern is represented by ratios. We can explain using geometry:

Thus we call it, Sacred Geometry: The Geometry of Life. Why life behaves this way or why things like entire galaxies or single conch shells find it most useful or natural to form themselves in this spiral pattern however, Is a complete mystery.