The Geometric Periodic Table

Two interactive 3D views of the 120° structure

The periodic table is not a flat grid—it's a three-dimensional geometric structure where each period occupies 120° of arc, with elements organized radially by d-electron count and group.

Below are two complementary 3D visualizations of the same underlying geometry. Each emphasizes different aspects of the structure.

The Shared Principle: 120° Per Period

Both visualizations are based on the same geometric foundation:

Choose Your View

3D Vortex (Geometric)

3D Vortex View

Interactive 3D projection with the 3-4-5 triangle at center. Shows the geometric foundation and makes the 120° structure visible. Rotate, zoom, and explore element properties. Best for understanding the mathematical basis.

Launch Interactive →

Period Tower (Coordinates)

Period Tower View

Discrete orbital bands like planets at fixed distances. Emphasizes the constitutional coordinates (d, P, g) used for property predictions. Interactive 3D view with element data on hover. Best for understanding the coordinate system.

Launch Interactive →

Why This Geometry?

The 120° structure emerges from the constitutional coordinate system where elements are positioned by their d-electron count (d), Period (P), and bonding character (g). These coordinates not only organize the periodic table geometrically, but also predict material properties with sub-2% accuracy.

φ = f(d, P, g) where 0° ≤ φ ≤ 120° per period

The same coordinates that position elements in these visualizations are used to predict elastic moduli, melting temperatures, and other properties of 70+ refractory compounds.

Learn About Constitutional Geometry →