The Platonic and Pythagorean Solids

Platonic Elements

The Platonic solids are 3-dimensional forms that nature uses to build herself.  The mental construct of reality seen in the form of geometry.     There are only five of them, naturally, since it is this (phi)veness that generates life as we know it. The Platonic, Pythagorean, or Perfect Solids: Let’s imagine you are on the inside of a sphere and are asked to make a bunch of different three-dimensional forms using only straight lines that all touch the surface of the sphere.  You could make all kinds, an infinite amount actually.  But if every line had to be of equal length, and…

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5040 The Perfect Number

Plato mentions in his Laws that 5040 is a convenient number to use for dividing many things (including both the citizens and the land of a state) into lesser parts.  Claiming it to be the ideal population of a city, he thought that the people’s well-being depended almost as much on the number as on justice.  5040 as it turns out is a very special number. One of the reasons 5040 was so highly revered was because it is a superior highly composite number.  Translation: No other number below it has as many divisors.  5040 has the same amount of divisors as…

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