From The Geometry of Energy: How to Meditate
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Let none ignorant of geometry enter.
It's said this phrase was above the doorway to Plato's school of philosophy and metaphysics. Why is an understanding of geometry and ostensibly arithmetic, so important to gaining further knowledge of philosophy and metaphysics? When one understands geometry, and specifically the four dimensions of geometry, one can conceptualize the subtleties of different spaces, vibrations and dimensions.
The supposed sign on the door to metaphysics school illustrates that geometry is important to further understanding metaphysics. The four dimensions of geometry in particular are helpful because they open our understanding of subtle vibrations and enhance our awareness through their correlative metaphysical dynamics. The four dimensions also offer a lucid meditation formula, uniting mathematics and meditation in metaphysics contributing to enhancing the understanding of our true nature.
Plato alluded to the deeper potentials of geometry beyond mathematics into the sacred. Pythagoras too who famously developed and expanded many geometrical constructs, concluded essentially that geometry and mathematics were derived from and led one to god. It is my belief that the reason there are these relationships between God and Geometry to put it simply, or meditation and mathematics to be specific, in esoteric teachings, and in freemasonic symbolism, is largely because of the four dimensions of geometry and the resulting Geometry of Energy.
"The knowledge of which geometry aims is the knowledge of the eternal." ~Plato