The Ultimate State

Opposite form, context or differentiation is the frozen lake of the void:

But this primal ice is not dead. Like a blank slate, it carries pure potential. This canvas hints at the first spark of life, the living energy from which all patterns, forms and being emerge. It is the subtlety of the universe, the undifferentiated matrix from which all possibilities arise.

So this formlessness doesn’t mean nothing. It implies undifferentiated potential.  This infinite matrix has no boundaries, no scales and no locations. We never “see” this lattice in nature—rather, we infer it. These relational possibilities describe the maximum symmetrical points in space or the most economical way relations can propagate equally in all directions. In a sense, they are pre‑formal ordering conditions. This is the Isotropic Vector Matrix (IVM):

The IVM is a tetrakaidecahedral space-filling structure—the most efficient way to pack spheres. The polyhedra aren’t separate from the globes—they’re geometric descriptions of the spatial relationships that emerge when spheres pack most efficiently.

The shadow of the IVM is the Seed of Life. A shadow is not a deformation, but a projection—a dimensional reduction. When you “cast” the IVM through a plane, you get overlapping circles, petals and vesica structures. So the Seed of Life is the 2D resonance of a 3D structure. It’s the soul’s expression rather than its essence:

From this lotus comes the rhombic dodecahedron and the cuboctahedron. The first polyhedron describes how space is divided, while the second provides the coordination geometry. These duals tessellate space with flawless efficiency: the rhombic dodecahedron becomes the Voronoi cell—the territory of each sphere—while the cuboctahedron forms the coordination shell around every globe. One describes the boundaries of space; the other informs the relationships within it:

The Philosopher’s Stone above is neither an Archimedean, Platonic or Catalan solid. To this day, science still has no name for this compound. In folklore, the Stone was never a static object but always the agent of transmutation—coherent plasma. It was also portrayed as dynamic, resonant and radiant.

In other words, geometry is the frozen music of the void. Plasma, by contrast, is the liquid fire of the soul. As dual polyhedra the 8th and 7th chakras are perfect reciprocals. Where one has faces, the other has vertices; where one collapsed, the other expanded. The fire that divinity breathes into us reflects this being versus becoming. So the rhombic dodecahedron is the figure eight’s boundless movement or the eighth chakra:

Above: infinity is really just a twisted circle

The cuboctahedron, with its perfect balance of squares and triangles, its equal edge lengths, embodies enlightened completeness—harmonious, with all parts in perfect relationship. In 2D we call this a circle or the seventh chakra:

But here’s what’s stunning: the figure eight and circle are inverted shapes when properly positioned. They’re not just related, they’re psychological opposites seen from different perspectives. So transcendence and enlightenment aren’t sequential states but simultaneous dimensions of the same awakening, a bit like the torus and the sphere:

Above: the Yin Yang

So the rhombic dodecahedron and cuboctahedron describe life from different viewpoints. This suggests that transcendence and enlightenment are dual expressions. The ultimate state is expansion AND contraction, a cosmic respiration where harmonic reciprocals breathe each other into being. Below we see the orthographic projection of the rhombic dodecahedron with a perfect octagram at centre:

In other words, the rhombic dodecahedron is active (masculine), or the expansion of the breath. The cuboctahedron is passive (feminine), or contraction. This is the inhale, exhale breathing cycle reflected geometrically—the transcendent rediscovering the enlightened. In other words, they aren’t separate states but reciprocal phases of the same cycle. Here we see the 2D face of the rhombic dodecahedron as nested squares:

This breathing suggests that the “ultimate state” isn’t a destination at all, but rather a rhythm—consciousness learning to breathe within its own deepest nature. So it’s not transcendence or enlightenment, but the balance between them. And what’s elegant is that this isn’t metaphor reaching for mathematics—but geometry revealing analogy. Life itself seems to breathe this way, expanding and contracting with infinite tessellations. Consciousness learns to accept this secret paradox, to be the rhythm that transforms infinity into perfection and back again.

So consciousness doesn’t have to choose between limitlessness and completeness—it can breathe as both simultaneously. Each moment of infinite awareness (transcendence) is already perfect presence (enlightenment) and vice versa. This mathematical elegance seems to point toward consciousness as a geometric parallax—a profound insight about the nature of awareness itself.

The state of Ma’at is beyond doctrine, deification or spiritual practice. It is the principle of perfect alignment—a state in which consciousness flows in harmony with the nature of reality. This “neutral zone” is neither religious, nor scientific—yet remains absolutely real. Becoming a Melchizedek Priest then, involves demonstrating this balance.

Geometry and mathematics are the tools through which this state becomes accessible. They are the purest human fields of endeavour, offering a neutral, universal language that reflects the harmony of the cosmos. Polyhedra, ratios and nested forms are not abstract symbols or spiritual metaphors—they are resonant patterns that the psyche can inhabit, aligning structure with meaning.

Through engagement with these patterns—rhombic dodecahedra or cuboctahedra—awareness learns to tune itself to proportion, balance and relational order. The soul resonates directly with the structure of reality, unmediated by doctrine, belief or spiritual framing. In this way, geometry and mathematics are not merely tools of calculation—they are instruments of perception, guiding consciousness to pure awareness. Below we see rhombic dodecahedrons and cuboctahedrons in 2D:

Above: the pattern of inhale and exhale

As humans then, we are all just perfect expressions of infinity.