The Prime Cuboctahedron – Order from Chaos

The Prime Cuboctohedron

“…despite their simple definition and role as the building blocks of the natural numbers, the prime numbers grow like weeds among the natural numbers, seeming to obey no other law than that of chance, and nobody can predict where the next one will sprout.”  -Don Zagier 1975 There is structure to the prime numbers. Divine order from apparent chaos. Prime numbers, or numbers that are divisible by only themselves and one, don’t grow like weeds among the other numbers. A very simple pattern emerges when the numbers are laid out in multiples of six. The cuboctahedron, or vector equilibrium, is the most simple geometric form that is in balance with the space it occupies, in perfect equilibrium on all sides. Organizing numbers one to infinity in a radial pattern on its twelve points creates a 2-Dimensional cross emerging from the most harmonious 3-Dimensional form.…

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Palindromic Squares

Palindromic Squares

A palindrome is a word, phrase, or number which reads the same backward or forward.  The squares of 10, 11, 12, and 13 fit the bill.  It breaks down after that since 15 squared is 225, and 51 squared is 2601. Why only these 4 or arguably 3 numbers? Does this give credence to the notion that base 10 is an innate numerical matrix to our reality? Did we invent the decimal system or did we observe patterns in the numbers themselves and organize them according to nature? What is it about ten that makes numbers so easily scalable and calculable? I found this gem in a book by Marty Leeds.  I added the ten squared to it.  It works of course if you put two zeros before the one on the right side.  It’s weird how this works for 10, 11, 12, and 13.…

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Square the Circle with Earth and Moon

Square the Circle with Earth and Moon

When we compare the size of Earth and Moon strange geometric synchronicities appear. The most fascinating of all is the ancient philosophical concept of ‘squaring the circle‘, that is drawing a square with the same area as that of the circle. You can also ‘square the circle’ with equal perimeters, which is what the Earth-Moon system do, to a very high degree of accuracy (99.97%). The Earth and Moon’s diameters can be described as a simple ratio, 11:3, when comparing one to another. It turns out that this ratio is the solution to ‘squaring the circle’ (of equal perimeter).   The Moon describes a circle that has the same circumference as the square’s perimeter that surrounds Earth. This fact was discovered or rediscovered by the late and great John Michell. The magic number found in these geometries is 273, or more specifically 2732.  I…

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Antikythera Mechanism

Referred to as the first known analog computer, the Antikythera Mechanism was discovered over a hundred years ago off the coast of Greece.   The mechanism is a device for calculating the motions of stars and planets.  Its true significance wasn’t realized until the early 70’s, when it was x-rayed and analyzed. The Greek astronomer Meton of Athens (fifth century BC) observed that a period of 19 years is almost exactly equal to 235 synodic months and, rounded to full days, counts 6,940 days. The difference between the two periods is only a few hours.  When we reduce these numbers to their digital root we find they all reduce to One.  Is this just a coincidence or is there an underlying concept in the cosmos that reveals itself in the form on geometry and number? Discovered in the early 20th century, and dated to over…

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The Holy 108 – Earth Sun and Moon

108 Magic

108 is a sacred number in nearly every religion.  Hindu prayer mala’s are made of 108 beads.  There’s 108 names of God and 108 Chakras. Earth, Sun, and Moon are also linked to the Holy 108. It has been said that if one takes just 108 breaths in one day, they will reach enlightenment. “In the end, it’s not going to matter how many breaths you took, but how many moments took your breath away” -Shing Xiong According to NASA, the Moon’s orbit around Earth is not a perfect circle and is more of an ellipse, so the Moon is not always 108 ‘moons’ away.  It is at this distance at some point between its mean orbit and its perigee, which means ‘when the Moon is closest to Earth’.  Earth’s orbit around the Sun is also an ellipse. On September 18-19 the distance of the Sun from Earth…

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Synergistic Mathemagics in the Solar System

We are more than coincidence

The way we measure space and time is based on a synergistic and mathemagical canon of number that’s intrinsic to our solar system as well as the proportions of man.  As above so below. It just so happens that the Moon’s diameter is almost exactly 2160 miles (99.99+%), the same amount of degrees on the surface of a cube.  Earth’s circumference at the equator is almost exactly 21,600 nautical miles. (99.9+%) The Earth and Moon ‘square the circle‘ Square the Circle: The Moon is the perfect size to solve the riddle. It’s huge in fact, larger than any other in proportion to its planet. Some say we have a double planet system. The Moon is 27.3% the size of Earth. It also happens to take 27.3 days to complete an orbit around Earth. Need I point out the fact that the Moon influences our emotions. Women’s menstruation cycles last…

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Pythagorean Triples

Pythagorean Triples, Our Moon, and the Economy

You’ve heard of the Pythagorean Theorem. Looking at a triangle, A squared plus B squared equals C squared. But this doesn’t work with all triangles, only specific triangles with specific lengths. The first set of numbers that work for this formula are 3,4 and 5. (3squared=9, 4squared=16, and 5squared equals 25). 9+16=25. Check! This works, so this is the first “Pythagorean Triple”. The second triangle that satisfies the equation is based on lengths of 5,12, and 13. Now if you divide the side of 5, into 2 and 3(The Perfect Fifth in Music Theory), and draw a line as shown(dotted line), it’s length is the amount of full moons in one solar year.(12.369) I wonder if the privately owned Federal Reserve Bank was thinking of the Moon and the second Pythagorean Triple when they came up with the measurements of the US dollar.(The FED…

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