Platonic and Polyhedral Solids
Vector Equilibrium
The cuboctahedron: 12 vertices, 8 triangles, 6 squares.
Explore← Advanced Geometric Structures
Vector Equilibrium — Projection
A planar circle-and-line pattern produced by projecting the cuboctahedron onto a plane. It is a 2D pattern, not the solid.
Vector Equilibrium — Projection13 circles · 24 segments · 0 solidsdepth 70% · Crystal · persp
Construction
Every vertex is projected orthographically along (1,1,1); edges follow; circles are drawn at projected vertices inside a boundary circle.
Mathematical properties
- ◇Projection along a 3-fold axis gives hexagonal symmetry
- ◇Projected vertices form a regular hexagon and hexagram
- ◇Shows how 3D structure collapses to 2D
Symbolic interpretation
A presentation pattern used in sacred geometry art.