Vortex Mathematics and the Rodin Coil: The Hidden Architecture of Energy

Origins of Vortex-Based Mathematics

In the late 20th century, a self-taught mathematician named Marko Rodin made a discovery that would attract both fascination and controversy in equal measure. Drawing on principles from the Baha’i Faith, number theory, and electromagnetic engineering, Rodin developed what he called Vortex-Based Mathematics (VBM) — a system that reveals hidden patterns in ordinary arithmetic and proposes a mathematical model for the way energy moves through the universe.

Rodin’s central claim is profound: the same mathematical patterns that govern the behavior of numbers also govern the behavior of energy. Numbers are not abstract symbols invented by humans; they are the fingerprints of a deeper reality. And at the center of this reality stand three numbers — 3, 6, and 9 — which function as the governing axis of all energy flow.

The Digital Root and Modulo 9

The foundation of Vortex-Based Mathematics is the digital root — the process of repeatedly summing the digits of any number until a single digit (1 through 9) remains. This is mathematically equivalent to performing modulo 9 arithmetic. In base-10, any power of 10 is congruent to 1 modulo 9, which means a number is always congruent to the sum of its digits modulo 9.

This simple operation reveals that all numbers, no matter how large, can be reduced to one of nine fundamental states. These nine states are not arbitrary; they form a closed system with internal relationships that mirror the behavior of energy in physical systems.

Rodin mapped these nine digits onto a circle (an enneagram — a nine-pointed figure) and began tracing the paths created by basic arithmetic operations. What emerged was a set of recurring patterns that form the basis of his entire system.

The Doubling Circuit: 1-2-4-8-7-5

The most important pattern in vortex mathematics emerges from the doubling sequence. Starting with 1 and repeatedly doubling:

Number	Value	Digital Root
2^0	1	1
2^1	2	2
2^2	4	4
2^3	8	8
2^4	16	7
2^5	32	5
2^6	64	1
2^7	128	2

The digital roots cycle: 1, 2, 4, 8, 7, 5, 1, 2, 4, 8, 7, 5… This six-digit repeating pattern is the doubling circuit. It never includes 3, 6, or 9.

When this sequence is drawn on the nine-point circle, connecting 1 to 2 to 4 to 8 to 7 to 5 and back to 1, it traces a specific geometric path — a figure that, when extended into three dimensions around a torus, describes the flow of energy through a toroidal field.

The halving sequence produces the mirror image: 1, 5, 7, 8, 4, 2 — the same numbers in reverse order. Doubling and halving represent the expansion and contraction of energy, and they trace complementary paths on the torus.

The 3-6 Oscillation and the 9 Axis

While the doubling circuit of 1-2-4-8-7-5 represents the movement of energy through physical space, the numbers 3, 6, and 9 serve a different function entirely.

3 and 6 oscillate between each other:

• 3 doubled is 6
• 6 doubled is 12, digital root 3
• 3 and 6 flip back and forth indefinitely

This oscillation, according to Rodin, represents the magnetic flux field — the invisible force that governs but does not participate in the physical doubling circuit. If the 1-2-4-8-7-5 circuit is the electrical current flowing through a wire, the 3-6 oscillation is the magnetic field that surrounds and directs it.

And 9 stands alone. 9 doubled is 18 (1+8=9). 9 tripled is 27 (2+7=9). 9 times anything always returns to 9. In Rodin’s framework, 9 is the axis of the torus itself — the central void around which everything revolves. It is simultaneously everything and nothing. It is the singularity, the zero point, the still center of the spinning wheel.

Rodin describes this architecture as:

• 1-2-4-8-7-5: The physical circuit (matter and energy in motion)
• 3-6: The higher dimensional flux field (the governing intelligence)
• 9: The source/axis (the unified field from which everything emerges)

The Rodin Number Map

Rodin created a visual tool called the Rodin Number Map, which arranges numbers in a grid organized by their digital roots and reveals stunning patterns. When natural numbers are arranged around a torus and their digital root relationships are traced, what emerges is a self-similar, fractal-like structure that repeats at every scale.

The number map shows that the relationship between any two numbers is already encoded in their digital roots. Addition, subtraction, multiplication, and division all produce patterns that follow the same toroidal logic. The map is not just a mathematical curiosity — Rodin claims it describes the actual topology of how energy organizes itself in nature.

When the doubling circuit (1-2-4-8-7-5) is traced on the surface of a torus, and the 3-6 oscillation is mapped as the flux field, and 9 is placed at the central axis, the resulting three-dimensional structure describes a vortex — a self-sustaining pattern of energy flow that recurs at every scale in nature, from the structure of galaxies to the behavior of water going down a drain to the electromagnetic fields around atoms.

The Rodin Coil

The practical application of vortex mathematics is the Rodin Coil — a specific method of winding copper wire around a toroidal (donut-shaped) core that follows the mathematical patterns Rodin discovered.

In a conventional toroidal coil, wire is wound uniformly around the core. In a Rodin Coil, the wire follows the pathways described by the doubling circuit on the torus surface, creating a winding pattern that incorporates the mathematical relationships of vortex mathematics into the physical geometry of the coil.

Proponents claim the Rodin Coil produces unusual electromagnetic effects:

Enhanced efficiency: The coil allegedly produces a stronger electromagnetic field relative to input power than conventional coil designs, because the winding pattern channels energy along the natural pathways of toroidal flow rather than fighting against them.

Unique field geometry: Rather than producing a standard dipole magnetic field, the Rodin Coil is said to create a field pattern that includes vortex-like structures at its center — what some describe as a “magnetic monopole” effect, though this term is used loosely and does not correspond to the theoretical magnetic monopole of particle physics.

Self-organizing behavior: Some experimenters report that the Rodin Coil exhibits properties suggestive of self-organization, with the field tending to maintain coherent patterns even when input conditions change.

It is important to note that these claims have not been verified through peer-reviewed scientific research. The Rodin Coil remains in the domain of independent experimentation and alternative science. However, the underlying mathematical patterns are objectively real and verifiable, regardless of the electromagnetic claims.

The Torus: Nature’s Favorite Shape

The torus — the donut shape at the heart of vortex mathematics — is arguably the most important form in the universe. It appears everywhere:

Magnetic fields: The Earth’s magnetic field is toroidal. The magnetic field around every magnet, every current-carrying wire, and every atom is toroidal.

Fluid dynamics: Smoke rings, vortex rings in water, and atmospheric phenomena like tornadoes and hurricanes all exhibit toroidal dynamics.

Cosmology: Some models of the universe’s large-scale structure suggest a toroidal topology. Galaxies themselves exhibit toroidal magnetic fields.

Biology: The human heart generates a toroidal electromagnetic field that extends several feet from the body. An apple is a torus. Many organisms exhibit toroidal geometry at various scales.

Atomic structure: The electron orbitals of atoms, particularly the d and f orbitals, have toroidal components.

The fact that vortex mathematics naturally produces a toroidal geometry is, at minimum, a striking mathematical coincidence. At maximum, it suggests that Rodin has identified the mathematical language that the universe uses to organize energy flow.

Connections to Ancient Knowledge

The patterns described by vortex mathematics have parallels in ancient symbolic systems:

The enneagram (nine-pointed figure) used in various spiritual traditions maps directly onto Rodin’s number circle. The I Ching uses 64 hexagrams (6+4=10, 1+0=1, the beginning of the doubling circuit). The Sri Yantra of Hindu tradition describes interlocking triangles that can be understood as two-dimensional representations of toroidal energy flow. The Flower of Life pattern, found in temples worldwide, encodes the same geometric relationships that underlie vortex mathematics.

Whether ancient peoples independently discovered these same patterns through meditation, observation of nature, or direct intuitive perception is an open question. What is clear is that the mathematics of vortex-based systems describes patterns that humans have been depicting and venerating for thousands of years.

Randy Powell and the Expansion of Vortex Math

Rodin’s student Randy Powell expanded vortex-based mathematics into new territory, developing what he calls ABHA (Advanced Base Harmonic Architecture). Powell’s work extends the digital root analysis to include higher-dimensional number maps and more complex circuit patterns, suggesting that the 1-2-4-8-7-5 doubling circuit is just the first layer of a multi-layered mathematical architecture.

Powell’s presentations describe a “flux thruster atom pulsar” — a theoretical device based on vortex mathematics that would channel zero-point energy from the vacuum of space. While such claims are speculative, they illustrate the direction in which vortex mathematics is being developed by its proponents: toward a unified model of energy, mathematics, and consciousness.

Digital Root Symmetry in Nature

Beyond the specific claims of vortex mathematics, the digital root system reveals genuine mathematical patterns that deserve attention:

Fibonacci sequence digital roots: The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…) has digital roots that cycle in a repeating pattern of 24 digits: 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1, 9. This 24-digit cycle itself has fascinating properties and sums to 108 (1+0+8=9).

Powers of any number: The digital roots of successive powers of any integer always produce repeating cycles. These cycles have periods that divide evenly into larger patterns, creating nested layers of self-similarity.

Multiplication table symmetry: The digital root multiplication table (a 9x9 grid where each entry is the digital root of the product) reveals perfect symmetry around the axes of 3, 6, and 9.

These patterns are not metaphysical claims — they are mathematical facts that can be verified by anyone with a calculator. Whether they point to a deeper structure of reality or are simply interesting properties of base-10 arithmetic is a question that bridges mathematics and philosophy.

Implications for Science and Consciousness

Vortex mathematics, regardless of the status of its more speculative claims, raises important questions:

If the simplest mathematical operations produce self-organizing, toroidal patterns, what does this tell us about the relationship between mathematics and physical reality? Is mathematics something we invent, or something we discover? Are numbers descriptions of reality, or are they reality itself?

If 3, 6, and 9 truly do govern the mathematical architecture of energy flow, then Tesla’s enigmatic statement about the magnificence of these numbers was not mysticism but observation. And the implications extend into every field — from how we design electromagnetic systems to how we understand the structure of consciousness itself.

The torus, the vortex, the doubling circuit — these are not just mathematical abstractions. They are the shapes that energy makes when left to organize itself. Understanding their mathematics may be the key to technologies and insights we have not yet imagined.

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“Everything is the result of number. The universe in its entirety, through all its dimensions, is harmoniously disposed according to number.” — Attributed to Pythagoras