Metatron's Cube is constructed in two steps. First, extract the Fruit of Life from the Flower of Life: select thirteen specific circles — the central circle, the six circles of the inner ring and the six circles of the next ring out — arranged in the same hexagonal pattern as the Flower but with specific outer circles added. Second, connect the centre of every circle to the centre of every other circle with straight lines. The result is a complex figure of 13 circles and 78 connecting lines that contains, in two-dimensional projection, all five Platonic solids simultaneously.
The construction is elegant in its simplicity and extraordinary in its consequences. The Platonic solids — tetrahedron, cube, octahedron, dodecahedron, icosahedron — are the only perfectly regular three-dimensional forms: solids whose faces, edges and angles are all identical. Plato argued in the Timaeus that these five forms are the building blocks of physical reality — each associated with one of the four elements plus the cosmos itself. The fact that all five can be derived from a single two-dimensional pattern of circles and lines is a genuine mathematical fact, not a mystical claim. Metatron's Cube is the geometric proof that three-dimensional space has a two-dimensional origin in the mathematics of the circle.
The thirteen circles of Metatron's Cube correspond in esoteric tradition to Metatron himself (the central circle) surrounded by the twelve archangels — or to the twelve tribes of Israel with their divine source, or to the twelve signs of the zodiac with the central sun. The specific number thirteen — typically considered unlucky in popular Western culture — is here the number of cosmic completeness: the one and the twelve, the centre and its full complement of surrounding forms.