Marko Rodin’s Vortex Mathematics: The Torus as the Source Code of Creation

Nikola Tesla reportedly said, “If you only knew the magnificence of the 3, 6, and 9, then you would have a key to the universe.” For over a century, that statement floated in the margins of science history — provocative, unanchored, impossible to prove or dismiss. Then a man named Marko Rodin sat down with a pencil, a circle divided into nine points, and the simplest operation in mathematics — doubling — and what he found was a map of the torus encoded in pure number.

Not a metaphor for a torus. The actual mathematical skeleton of one.

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

Here is the experiment anyone can do. Start with 1. Double it. Keep going. Reduce each result to its digital root — the single digit you get by adding the digits together until only one remains.

1 doubled is 2. Digital root: 2. 2 doubled is 4. Digital root: 4. 4 doubled is 8. Digital root: 8. 8 doubled is 16. Digital root: 1 + 6 = 7. 16 doubled is 32. Digital root: 3 + 2 = 5. 32 doubled is 64. Digital root: 6 + 4 = 10, then 1 + 0 = 1.

And we are back to 1. The sequence repeats: 1, 2, 4, 8, 7, 5, 1, 2, 4, 8, 7, 5… forever. No matter how large the numbers get, the digital roots cycle through these six digits and only these six.

This is not a coincidence. This is modular arithmetic — specifically, arithmetic modulo 9. And modulo 9 is special because 9 is the largest single digit in our base-10 number system, making it the “boundary” where numbers fold back on themselves. Rodin recognized that this doubling circuit, when mapped onto a circle with nine equally spaced points (numbered 1 through 9), creates a specific pattern: a continuous path that connects 1 to 2 to 4 to 8 to 7 to 5, forming a distinctive looping figure that traces the cross-section of a torus.

After twenty years of studying this symbol and collaborating with engineers and scientists, Rodin discovered that the 1-2-4-8-7-5 doubling circuit describes an extraordinarily efficient electromagnetic coil — the Rodin Coil. When copper wire is wound on a donut-shaped (toroidal) core following this mathematical pattern, the resulting coil exhibits properties that conventional coil designs do not: enhanced magnetic field coherence, reduced resistance, and a vortex-like field geometry.

The Gap at 3, 6, and 9

Now look at what is missing from the doubling circuit. The numbers 3, 6, and 9 never appear. They form their own separate circuit:

3 doubled is 6. Digital root: 6. 6 doubled is 12. Digital root: 1 + 2 = 3.

So 3 and 6 oscillate back and forth: 3, 6, 3, 6, 3, 6… They are a binary pair, a pendulum, perpetually reflecting each other.

And 9? Nine is truly singular:

9 doubled is 18. Digital root: 1 + 8 = 9. 9 tripled is 27. Digital root: 2 + 7 = 9. 9 times anything has a digital root of 9.

Nine never changes. It is the fixed point, the axis, the singularity around which all other numbers orbit. In Rodin’s framework, 9 represents the center of the torus — the zero point, the still eye of the vortex through which energy enters and exits.

This gives us a three-part structure:

• 1, 2, 4, 8, 7, 5 — the doubling circuit, representing the physical flow of energy around the torus
• 3 and 6 — the oscillating pair, representing the governing or modulating function, the dynamic balance between the two polarities
• 9 — the singularity, the axis, the source point that remains unchanged

Rodin’s insight was that these three elements together describe the complete mathematical anatomy of a torus. The doubling circuit is the flow. The 3-6 oscillation is the polarity that keeps the flow organized. And 9 is the center through which everything passes.

Tesla’s Obsession in New Light

Tesla’s fascination with 3, 6, and 9 is well-documented in biographical accounts. He reportedly walked around buildings three times before entering. He demanded hotel rooms whose numbers were divisible by three. He washed his hands three times. He used 18 napkins at dinner (1 + 8 = 9). These are often dismissed as symptoms of obsessive-compulsive disorder. But in the context of vortex mathematics, Tesla’s fixation looks less like compulsion and more like recognition.

Tesla was the master of alternating current — energy that oscillates. He was the master of rotating magnetic fields — fields that are, geometrically, toroidal. His entire body of work was about harnessing the vortex dynamics of electromagnetism. When he said the 3, 6, and 9 held the key to the universe, he may have been pointing to exactly what Rodin later formalized: that these numbers occupy a privileged position in the mathematical structure that generates toroidal flow.

The 1-2-4-8-7-5 circuit is the engine. The 3-6 pair is the governor. And 9 is the still point around which the engine turns. Tesla worked with all three, daily, in his electrical engineering. The question is whether he understood the connection explicitly or intuited it through decades of working with rotating fields and alternating currents.

The Rodin Coil: Mathematics Made Physical

The practical offspring of vortex mathematics is the Rodin Coil, a toroidal coil wound according to the patterns Rodin derived from his number map. A conventional toroidal coil winds wire around a donut-shaped core in evenly spaced turns. The Rodin Coil winds wire in a specific crisscrossing pattern dictated by the 1-2-4-8-7-5 doubling circuit, creating nodes where the wire crosses at the positions of 3, 6, and 9.

The result, according to Rodin and researchers who have built replications, is a coil that produces a magnetic field with vortex characteristics — a field that spirals inward toward the center of the torus rather than simply circulating around the surface. This inward-spiraling field is what Rodin calls the “vortex.” In standard electromagnetic theory, a toroidal coil’s magnetic field is entirely contained within the torus (this is one of the key advantages of toroidal transformers in electronics — their fields do not leak). But the Rodin Coil’s unique winding pattern is claimed to create a field geometry that conventional coil theory does not predict.

Research into vortex-based coil designs has continued in academic settings. A study on “Optimization of Energy using Vortex Coil Technology” explored the practical applications of coils wound according to Rodin’s principles. While mainstream physics has not validated all of Rodin’s claims, the mathematical patterns themselves — the doubling circuit, the 3-6 oscillation, the fixed point at 9 — are real, verifiable properties of modular arithmetic that anyone can confirm with a calculator.

The Deeper Pattern: Why Base 10 and Modulo 9?

Here is a question vortex mathematics forces us to ask: why does our number system — base 10 — produce such elegant toroidal patterns when reduced to digital roots?

Digital root reduction is equivalent to modulo 9 arithmetic. And 9 = 10 - 1. In any base-N number system, the digital root operates as modulo (N-1). So our base-10 system naturally produces modulo-9 symmetries. But the toroidal pattern Rodin found is not arbitrary. The doubling circuit (1, 2, 4, 8, 7, 5) partitions the nine digits into exactly the groups needed to describe a torus: flow, polarity, and singularity.

Is this a property of the number 9 specifically? Or a property of any base where the modulus creates a six-element cycle in the doubling sequence? The answer is that 9 is special. It is 3 squared. It is the sum of all single digits (1+2+3+4+5+6+7+8+9 = 45; 4+5 = 9). It is the only single digit that, when multiplied by any number, returns itself as the digital root. Nine is the mathematical mirror — everything reflects off it and returns to itself.

This self-referencing quality is exactly what makes the torus what it is. A torus is a surface that continuously references itself. Energy flows out, curves around, and re-enters. The number 9, in digital root mathematics, does the same thing: it absorbs everything into itself without changing. The mathematics and the geometry are saying the same thing in different languages.

Vortex Mathematics and the Structure of Creation

Rodin’s framework proposes something radical: that the torus is not just a shape that appears in nature. It is the mathematical structure of creation itself. The doubling sequence — the most fundamental operation of growth (one cell becomes two, two become four) — encodes a toroidal pathway when mapped through digital roots. This means that every process of doubling, dividing, and growing in the physical universe is tracing a path on a torus whether we see it or not.

Cell division follows the doubling sequence. Binary code follows the doubling sequence. Musical octaves follow the doubling sequence (a note doubles in frequency with each octave). In every case, the underlying mathematical path is 1, 2, 4, 8, 7, 5 — a loop on a torus, governed by the 3-6 polarity, centered on the still point of 9.

This is either a beautiful coincidence of base-10 modular arithmetic or a genuine window into the mathematical architecture of the universe. Rodin believed the latter. Tesla may have suspected it. And the torus, that shape the universe keeps drawing at every scale from atoms to galaxies, keeps showing up to remind us that the question is far from settled.

What if the numbers themselves are not abstract symbols we invented, but fingerprints of the geometry that generates everything we can observe?