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By Ethan Indigo Smith (Reporter)
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The Mathematics of Meditation

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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

One of the most well known symbols associated with freemasonry is a G in the middle of the compass and square. The G is said to stand for many things including God, geometry and gnosis or knowing, possibly the gnosis that accompanies fusing spirituality (god) and mathematics (geometry). The symbol is presented to illustrate the continued recognition of the symbolic power herein, not to endorse Freemasonry, of course, and to relate the old stone Mason metaphysical school slogan with the modern day symbol associated with groups said to be offshoots of the very same.




Points, Lines, Circles and Spheres

“The key to growth is the introduction of higher dimensions of consciousness into our awareness.” ~Lao Tzu

The Geometry of Energy is a meditation instruction and exploration of meditative energies through the four dimensions of geometry. In its simplicity and profundity is an empowering four step meditation leading to individuation as well as an enhanced understanding of energy. The simple and sacred four dimensions of geometry lead to understanding meditation processes and energies for psychologically and spiritually cleansing our thinking and being. The process of meditation enables individuation, distinguished self-development.

The Geometry of Energy utilizes the four dimensions of geometry to enable a higher understanding of meditation and energy through eclectic, esoteric, and yet simple related practices, each geared towards self-refinement. The Geometry of Energy enhances understanding of meditative energies through mathematical constructs as they are related to spiritual subjects. The four dimensions of geometry, the four ways to understand objects and energies, are as points, lines, planes and solids. Circles are the highest form of a plane, and spheres are the highest form of solid.

Points can represent anything, up to and including things that have no size. A point requires just one point to depict, obviously. A line requires a minimum of two points to depict though infinite more points can be integrated. A line can be any width, up to and including no width at all. A shape, or plane, might be no width at all and requires a minimum of three points to depict, though infinite more points can be integrated for different shapes. The fourth geometrical understanding of space is a solid, a solid that might have no weight. A solid requires a minimum of four points to depict making a four sided pyramid, though of course, an infinite number of points can be integrated depending on the shape.

Geometrical rules relate to and address fundamentals of energy as well. The idea of points without size, lines without width, shapes without height, and solids without weight address mathematical concepts and meditative energy constructs too.

Geometry means measurement of earth. The geometry of energy uses the four dimensions of measuring earth to measure earthen energy. The four dimensions of geometry have a magical quality to them, in that points may take up no space, lines may have no width, shapes may have no height and solids may have no weight. Energy forms in the same manner as the dimensions of geometry. Energy exists, but it may take up no space, have no width, no height and no weight.

My experiences practicing different meditations and meditative movements led me to find correlative dynamics in a wide range of practices which are reflective of energies that coincide with or directly reflect the four dimensions of geometry. The shared dynamics are so powerful and related to so many diverse understandings, and so little had been written on the four dimensions of geometry relative to how much has been written of sacred geometry in total that I had to meditate on and elaborate on the subject.

The Geometry of Energy explores meditation and psychic energy through mathematics, geometry, numerology and spiritual understandings. The Geometry of Energy provides a meditation instruction, and offers a way to understand meditative energies toward individuation. The four types of energies related to the four geometrical concepts result in the four step meditation process.

Energy is vibration. In fact, everything, when we boil it down to the essence, is vibration. The light we see and the sounds we hear are just energy vibrations coalesced differently. We are ourselves energy vibrations coalesced into conscious physical form and flow. Meditative energy vibrations can be a point up to and including a point that takes up no space, lines up to and including lines with no width, planes up to and including planes of no thickness and solids up to and including a volume of no space, and a volume of everything.

“Concerning matter, we have been all wrong. What we have called matter is energy, whose vibration has been so lowered as to be perceptible to the senses. There is no matter.” ~Albert Einstein

From the new book on sacred geometry applied to meditation, The Geometry Of Energy: How To Meditate, an empowering four step meditation that promotes individuation and understanding by way of the four dimensions.


You can connect with Ethan on Facebook, check out his author page on Amazon, or visit his new websites, Geometry Of Energy and Meditation 108, where Ethan offers lessons on individuation, meditation, the conceptualization of energy, and the metaphysical significance of 108.


Also check out The Matrix of Four In this work, Ethan relates and explains correlations between the four seasons, Aum, and a myriad of esoteric and exoteric ideas on consciousness to inspire creative thinking and being. He also explores mathematical and philosophical concepts to engage a higher thinking and being, verified using universality and human traditions beginning with the four operations of arithmetic, referencing the four archetypal characters in Plato’s The Allegory of the Cave, and much more.

The Matrix of Four: the Philosophy of the Duality of Polarity is available on Amazon here.

About Ethan Indigo Smith:

Activist, author and Tai Chi teacher Ethan Indigo Smith was born on a farm in Maine and lived in Manhattan for a number of years before migrating west to Mendocino, California. Guided by a keen sense of integrity, humanity and justice, Ethan’s work is both deeply connected and extremely insightful, blending philosophy, politics, activism, spirituality, meditation and a unique sense of humour.

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