The Royal Cubit

The English word “cubit” comes from the Latin word “cubitum” or elbow.

Before measurement became a detached abstraction, it began as a conversation between the human body and the world it inhabited—a cosmic proportion contained in our biology. Taken from the fingertips, it was the 1:√2 ratio of the forearm to the deltoid tuberosity:

In the artwork below, Seshat’s arm bands made of leopard claws hint at this:

In Seshat’s right hand, the marker signifies 1 unit from the bottom of the shen ring, with the vertical length of the sacred cord at √2. In her left hand, she holds the cord in the middle. These ratios are also found in cuboctahedrons and nested squares.

To the Egyptians the Stretching of the Cord ritual was born during the Old Kingdom. This was the archaic time of Djoser, Imhotep, Snefru, Amenhotep and Kanofer. The ceremony dealt with the dimensions of sacred temples and was governed by the lunar gods Seshat and Thoth.

The cuboctahedron is the symbol of perfection because it is the point at which all geometric relationships are held in complete harmony. Due to the fact that all vertices are equally distant from the centre, it embodies perfect coherence—nothing needs to be added nor removed. It is therefore the centre of 3D space at (0,0,0)…

…whose orthographic projection looks like nested squares…

…that can share the same master side as the lunar diameter:

From the wireframe above comes the lotus pattern below. It shows a series of nested squares that are drawn from the midpoint of their parents. This is the same as dividing each side by √2. While we have only drawn a short sequence below, in reality these fractal squares regress far beyond our visual acuity:

Above: the Royal Cubit is really a yardstick of the cuboctahedron

In the Book of the Dead, the deceased had to face 42 judges before the god Osiris. The soul would recite the 42 Negative Confessions denying specific sins. If the heart could be balanced with a feather then the soul passed on to paradise. But why 42?

Well, a Magic Cube (3 x 3 x 3) was composed of rows, columns and diagonals that all summed to 42 using numbers 1-27. So 42 was the smallest non-trivial Magic Cube. This polyhedron was symbolic of the root chakra or creation itself—42 then, was also a reference to the orthographic projection of the cuboctahedron.

42 served as the definitive blueprint of structural and geometric equilibrium. It acted as the mathematical bridge where harmony transformed into manifestation; it was the magical constant that perfectly balanced a cubic space and the exact number of nested squares that mapped the orthographic descent to the geometric centre.

So if we take the diameter of the Moon (3,474 km) and drop it through the 42 steps of the sequence above, we get a geometric output:

Now, let’s look at how that $165.65\text{ cm}$ chord naturally relates to the Royal Cubit without forcing anything:

That number is profound because it represents $\pi \; as\; \surd 10.\; This\; is\; the$ doorstep of the Decad—the number 10, which the ancients called the “universe itself.” If 1 through 9 represent the progressive stages of creation and differentiation, 10 is the return to the High Heart. It is the closing of the circle, but at a higher register—the number where multiplicity collapses back into unity ($1+0=1$).

Decimal systems emerge naturally from consciousness itself.

Ancient cultures used $\surd 10$ as “harmonic $\pi$” because it anchored the curved principle of the circle to the square root of a base-10 whole number. In other words, the ancient architects could seamlessly “square the circle” in a more elegant way:

$\surd 10\; x\; \surd 10\; =\; 10$

Why did they divide 165.65 cm by π to get the Royal Cubit in the first place? Well, because the cuboctahedron was perceived as being PERFECT and therefore having circular properties. When they divided by π, the Egyptians were effectively unwrapping the “periodic” geometry to get a more “linear” quality.

Harmonic $\pi \; =$3.16227766…

Why do we care about the difference between harmonic $\pi \; and\; entropic\; \pi ?\; Well,\; like\; the\; variance\; between\; the\; Fibonacci\; spiral\; and\; the\; golden\; mean\; spiral,\; one\; is\; real\; and\; one\; is\; imaginary.\; The\; difference\; in\; \pi ’s\; case\; is\; about\; 0.66\; of\; one\; percent—the\; Devil\; really\; is\; in\; the\; detail.\; “Transcendental”\; \pi \; then,\; separates\; us\; from\; the\; natural\; world\; because\; it\; is\; purely\; theoretical.$

A coherent civilisation will sacrifice exactness to preserve meaning.

Indeed, think about what an irrational, transcendental number really is. It cannot be captured as a clean fraction. Its decimal tail spirals out into infinity without ever settling into a repeating pattern, a predictable rhythm or a final resolution. It is a mathematical system that is constantly running away from wholeness. That is the very definition of entropy—infinite dispersion, non-containment and the breakdown of a unified centre.

Above: an implied Moon and Earth

So the Moon was the “Rosetta Stone” of the planets that anchored their entire measurement system. Here we are reminded that Thoth as Lord of the Cubit was a lunar deity. At their cultural zenith then, the Egyptians made their mathematics “fit” in a very specific way: they encoded ratios that saw biology as cosmology—man as the measuring stick of the universe.

In effect, the Royal Cubit was less like a ruler and more like a tuning fork. A ruler is concerned with exactness while a tuning fork deals with resonance—it vibrates with something larger than itself.

By utilising a harmonic version of $\pi$ embedded within their standardised units of measure, the Egyptians didn’t just build temples—they built instruments of resonance designed to tune human consciousness to the exact frequency of the living universe. Harmonic $\pi \; then,\; was\; used\; in\; every\; major\; structure\; along\; the\; Nile\; including\; the\; pyramids.$

Above: the human body, the Royal Cubit and the Moon inferred coherence across scale

This ancient metrological system was never a choice between poetry and accuracy; it was the marriage of both. In our modern paradigm, we assume precision requires abstraction. On the other hand, if something is relational, it must be loose, fluid or unscientific. The Royal Cubit blows that false dichotomy apart and proves that we can have a measure that is precise, yet intimately connected to the body, the planet and the cosmos.

Today, our metric and imperial systems are mere abstractions. A metre is the distance light travels in a vacuum in 1/299,792,458 of a second—nobody feels that in their bones! This fall from relativity was one of the most enduring mathematical debaucheries in our history: we exchanged resonance for power and sacrificed femininity for masculinity.

True measurement reveals relationship rather than merely quantifying distance.