Part 3 of 5
Part 3 — Three Dimensions
Sacred geometry in three dimensions — the Sphere, five Platonic Solids, thirteen Archimedean Solids, and the Cuboctahedron as vector equilibrium.
When the flat patterns of 2D sacred geometry are extended into three dimensions, they give rise to some of the most profound structures in all of mathematics. The Platonic Solids — the five perfectly regular three-dimensional forms — were considered by the ancient Greeks to be the building blocks of the cosmos itself. The Archimedean Solids extend that family into greater complexity, and the Cuboctahedron, the vector equilibrium, sits at the centre of it all.
In this part we explore what these forms are, how they arise from the sacred geometry pattern, and why they have been considered the geometric architecture of matter and space across so many traditions.
Chapters in this Part
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13
The Sphere→
The sphere — the circle extended into three dimensions, the most perfect form, container of all Platonic Solids, and sym…
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14
Platonic Solids→
The Platonic Solids in sacred geometry — Plato's elemental cosmology, Kepler's cosmic mystery, dual relationships, and t…
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15
The Cuboctahedron→
The cuboctahedron as the Vector Equilibrium — Buckminster Fuller's zero-point form, sphere packing, and the Jitterbug tr…