Transformations · 3D
The Jitterbug
Vector equilibrium → icosahedron → octahedron
Buckminster Fuller’s pulsing structure: twelve spheres of the vector equilibrium twist and contract through the icosahedron into the octahedron. Animate the phase and watch it breathe.
- Triangles
- 8
- Edges
- 24
- Edge length
- constant
Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.
Facts
- The eight triangles never change size: they only twist and move inward.
- At phase ≈ 0.382 (= 1 − 1/φ) the twelve points form a perfect icosahedron.
- The vector equilibrium (cuboctahedron) is the only shape whose edges equal its radius.
- Fuller saw it as nature’s zero point: the balance from which every form contracts.
History and meaning
Fuller demonstrated the jitterbug with flexible models in the 1940s and built his synergetic geometry around it.
Learn it step by step
- Journey The Breathing SolidStep 3: Equilibrium
