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What does the Merkaba mean in sacred geometry?
Que signifie la Merkaba en géométrie sacrée ?

Grimoire of Symbols

What does the Merkaba mean in sacred geometry?

3 min read

The Merkaba depicted in contemporary sacred geometry generally takes the form of two interlaced regular tetrahedra, one pointing upward and the other downward. In geometry, this arrangement is called the stella octangula. It is described in the European polyhedral tradition, notably by Luca Pacioli and Johannes Kepler. The modern name “Merkaba” is borrowed from the Hebrew merkavah, the celestial chariot of Jewish tradition, but the ancient tradition of the divine Chariot does not refer to this compound of two tetrahedra.

Shape Two interlaced regular tetrahedra
Mathematical name Stella octangula
Associated author Johannes Kepler, 1611
Earlier evidence Luca Pacioli, 1509
Merkaba name Contemporary spiritual reinterpretation

Why do two tetrahedra form a star with eight points?

Two tetrahedra arranged in opposite directions can regularly interpenetrate. Their vertices form the envelope of a cube, while their shared intersection takes the shape of an octahedron.

This construction is described by Wolfram MathWorld as the stella octangula. It differs from the hexagram, a flat six-pointed star formed by two triangles.

What do Pacioli and Kepler show?

In 1509, Luca Pacioli presented augmented polyhedra in his Divina Proportione, illustrated with the collaboration of Leonardo da Vinci. The tetrahedral compound is also known in the mathematical art of the Renaissance.

Kepler used the Latin name stella octangula at the beginning of the 17th century. This history is solid enough to place the figure within the European tradition without inventing an Egyptian origin for it.

What is the actual connection with the Celestial Chariot?

The Merkavah belongs to a Jewish tradition of commentaries and visions of the divine Throne, particularly those surrounding Ezekiel. The Hebrew word means “chariot”.

Contemporary teachings on sacred geometry reuse this term to name a three-dimensional figure made of two tetrahedra. This is a modern reinterpretation, not an attested graphical equivalence in the earliest texts on the Chariot.

Why does the figure attract occultists?

The interlacing of two volumes oriented in opposite directions provides an immediate image of balance, relationship, and complementarity. Contemporary authors readily interpret spiritual polarities in it.

The geometry of this superposition can be demonstrated; the meditative uses and energetic properties attributed to it belong to particular systems of thought, not to theorems about polyhedra.

What is the difference between the tetrahedron and the octahedron?

The tetrahedron has four triangular faces. The stella octangula combines two of them without merging them into a new regular convex solid.

The common figure at their intersection is an octahedron. These relationships explain the motif’s geometric interest independently of its modern spiritual name.

Sources and historical landmarks

Wolfram MathWorld, “Stella Octangula” describes the compound’s properties and its references in Pacioli and Kepler. “Tetrahedron 2-Compound” documents its relationships with the cube and the octahedron.

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