SPHERE PACKING

💡 Tip: Drag to rotate, scroll to zoom. Try different frequencies to see polyhedra emerge!

Hexagonal Close Packing

Omnidirectional sphere packing from center. Each sphere touches 12 others.

Most symmetrical, most efficient packing. 60-60-60 = 360 degrees. Hexagonal layers.

Builds outward in all directions maintaining equilibrium relationships.

Models behavior inside atoms. Maximum enclosure with minimum surface.

Key Concepts

  • • Coordination number: 12 (both packings)
  • • Packing efficiency: 74.05% (both packings)
  • • Frequency: Subdivisions maintaining relationships
  • • Angle + Frequency: Coordinate by these two factors
© 2026 Synergetic HandbookInspired by R. Buckminster Fuller