## 7. Sacred Geometry: the Square, Part 3

This is the third in a series of articles discussing Square as it related to Sacred Geometry. We left off last week’s discussion of the Square noting that the

In last week’s article on the Square, we saw how the diagonal an initial Square became the

The Square root of 3 appears in two major configurations: the Vesica Piscis[1] and the Cube. Both demonstrate or symbolize the

*root*represents the*Principle of Transformation*. Transformation is all the really exists for the phenomenal worlds are in a constant state of change.In last week’s article on the Square, we saw how the diagonal an initial Square became the

*generative*(*fixed*) principle for a progression. There are two additional processes beside the generative process that relate to the*Principle of Transformation.*- Generative Process --symbolized by the Square root of 2 (¸)
- Formative Process -- symbolized by the Square root of 3 (
**√**3 ) - Regenerative Process -- symbolized by the Square root of 5 (
**√**5)

The Square root of 3 appears in two major configurations: the Vesica Piscis[1] and the Cube. Both demonstrate or symbolize the

*formative process*. The Vesica Piscis is constructed by drawing two equal circle so that the center of each lies on the circumference of the other. If you review article 3 in this series on Sacred Geometry, you’ll find the step-by-step process of creating the Vesica Piscis. Symbolically, it’s as if one world (Infinite Divine Realm of Universal Consciousness) generates the empirical world (Empirical Consciousness). It is man that is able to bridge the gap and bring balance to self and his domain which s/he expands or raises consciousness. Man is able to do this because by inherent design, s/he is a multi-dimensional being.The Cube (3-dimensional expansion of the Square) where each of the edges is equal to 1 and the diagonal of any of the six faces (each forms a square) will have diagonals that span the Cube through the center equal to 3.

In the diagram below you can see how the Vesica Piscis and the Cube are related geometrically. When graduated in size[1], the Vesica Piscis naturally forms two kinds of triangles:

The point pertinent to our discussion is that the formation of any volume structurally requires triangulation.

The Vesica Pisces is the form generator for not only the cube but for all the regular polygons. A polygon is a shape where all sides and all angles are equal; other wise the shape is said to be irregular.

*The trinity (symbolized by the triangle) is the*

creative basis of all items that take physical form.creative basis of all items that take physical form.

The Vesica Pisces is the form generator for not only the cube but for all the regular polygons. A polygon is a shape where all sides and all angles are equal; other wise the shape is said to be irregular.

In their 3-dimensional forms they are commonly known at Platonic Solids

Notice that there are only five Platonic Solids as opposed to the eight Regular Polygons.

The fact that there are only five Platonic Solids has to do with the angles that meet at a vertex (where the faces of a figure come together). The total of these angles cannot exceed 360o. Moving from right to left in the above diagram we have:

The fact that there are only five Platonic Solids has to do with the angles that meet at a vertex (where the faces of a figure come together). The total of these angles cannot exceed 360o. Moving from right to left in the above diagram we have:

Notice the elements traditionally assigned to the each of the Platonic Solids. I would encourage you to meditate on these shapes and see how the “speak” to you. Allow yourself to be aware of your environment and see if you can spot any of the Platonic Solids. Can you see why they might have been chosen; a deeper meaning of what they might represent? In the fifth article in this series on Sacred Geometry (posted two weeks ago), it was mentioned that the square (2d representation of the cube) was used as the throne for the Egyptian gods. Now that you know that the cube represents Earth, can you see how this simple symbol of the cube was used as a powerful statement of governance? The Egyptian gods saw themselves as governing the whole Earth, not just a portion that we today call Egypt.

Notice too how the 3-dimensional Platonic Solids are made up of triangles, squares, and pentagram. No 3-dimensional solid is made up of a polygon with more than five sides. Can you see why the pentagram (5-pointed star) represents man connecting with his/her divinity?

In the next article, we’ll take a look at how the succession of polygons takes shape and how the 3 contained within the Vesica Piscis is the formative power of Creation.

Notice too how the 3-dimensional Platonic Solids are made up of triangles, squares, and pentagram. No 3-dimensional solid is made up of a polygon with more than five sides. Can you see why the pentagram (5-pointed star) represents man connecting with his/her divinity?

In the next article, we’ll take a look at how the succession of polygons takes shape and how the 3 contained within the Vesica Piscis is the formative power of Creation.