8. Sacred Geometry: the Square, Part 4
This is the eighth article in a series of articles discussing Sacred Geometry. This week we’ll take a look at how the succession of polygons takes shape and how the numbers 2, 3, and 5 are fundamental properties that are inherent in the creation of all form. The square roots of these three numbers are innate within the structure of the Vesica Pisces, the formative power of Creation.
Leonardo da Vinci is the one who’s drawing of the 5 Platonic solids helped 15th century Europe bring forth the hidden mathematical treasures of the ancients. It is Leonardo da Vinci who also helped us understand the significance of the Golden Mean. Note the following interesting properties of the Golden Mean:
The ratio between any number in this sequence and the one immediately preceding it will always be close to .618033988. For example 8:13 or 8 divided by 13 = .615384615.
 The = the diagonal of the square
 The 3 = the length of the Vesica Pisces (top to bottom) = diagonal of the cube (giving us 3dimensional form)
 The 5 = the diagonal of the doublesquare which is the Golden Rectangle that gives us the Golden Mean proportion (or Phi). It is the 5 that has the regenerative quality producing growth. In the metaphysical world, the Golden Mean represents the lifegiving qualities.[1]
Leonardo da Vinci is the one who’s drawing of the 5 Platonic solids helped 15th century Europe bring forth the hidden mathematical treasures of the ancients. It is Leonardo da Vinci who also helped us understand the significance of the Golden Mean. Note the following interesting properties of the Golden Mean:
 It is believed by many that dimensions divided in the ration of 1 to Phi (1:φ) are more aesthetically pleasing. Dozens of psychological tests beginning in the 19th century tend to support this belief for invariably the subjects in these tests chose the rectangle whose sides are in the Golden Mean ratio.
 Mathematically 2xφ = φ+1 = 2.618033988 and 1xφ = φ1 = .0618033988
 In the Fibonacci sequence of numbers where each number is the sum of the two previous numbers, the ratio between successive numbers tend toward φ.
The ratio between any number in this sequence and the one immediately preceding it will always be close to .618033988. For example 8:13 or 8 divided by 13 = .615384615.
 The Golden Mean is the only number whose square can be produced simply by adding 1 and whose reciprocal is gotten by subtracting 1.
 The Golden Mean’s elusive nature was discussed in a threevolume treatise entitled The Divine Proportion authored by 15th century mathematician Luca Pacioli. Pacioli was influenced heavily by his contemporary Leonardo da Vinci and the Greek mathematician, Euclid (300BC). Pacioli used the Golden Mean as a metaphor for the incomprehensibility of God.

 The black holes spinning in space also include the Golden Mean as a critical value in their existence. According to scientists, the Golden Mean serves as the critical value that determines if the heat produced by the black hole is growing hotter or colder. It’s as if the black hole can regulate its “centrifugal force” to prevent shrinkage that would lead to total annihilation.
 The Golden Mean is witnessed in the Great Pyramid of Egypt. The ratio of the length of a face of the Great Pyramid (from centre of the bottom of a face to the apex of the pyramid) to the distance from the same point to the exact centre of the pyramid's base square is about 1:φ.
In the ancient Egyptian creation myth coming from Heliopolis, Nun, the Cosmic Ocean, represents pure, undifferentiated spiritspace, without limit or form. Nun is prior to creation. It is pure potentiality. By the seed or will of the Creator, who is implicit within this Nun, the undifferentiated space is impelled to contract or coagulate itself into volume. Thus Atum, the creator, first creates himself or distinguishes himself from the undefinable Nun by volumizing (moving from 2D to 3D form), in order that physical creation might begin. This myth is represented exquisitely in Sacred Geometrymoving from the Vesica Pisces through the square and cube to the Golden Mean.
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[1] Some would say that the Golden Mean is the Christforce energy.
[1] Some would say that the Golden Mean is the Christforce energy.