Geodesic Dome Calculator
Understanding Geodesic Domes
What are Geodesic Domes?
Geodesic domes are spherical structures composed of a network of triangles that approximate a sphere or hemisphere.
Key Formulas
- Surface Area = 4πr² × coverage
- Volume = (4/3)πr³ × coverage
- Number of Struts = 30v² × coverage
- Number of Vertices = (10v² + 2) × coverage
- Number of Faces = 20v² × coverage
Dome Properties
Frequency (v)
Subdivision level
Higher = more stable
Common: 2V to 6V
Strut Types
A-type: Base to middle
B-type: Middle connections
C-type: Top connections
Coverage
1/3 sphere: 120° dome
1/2 sphere: 180° dome
2/3 sphere: 240° dome
Efficiency
Material optimization
Load distribution
Space efficiency
Advanced Concepts
Structural Analysis
Force distribution
Tensegrity principles
Buckling resistance
Great Circle Theory
Geodesic paths
Spherical geometry
Circle intersections
Optimization
Material usage
Cost efficiency
Energy performance
Construction
Assembly methods
Joint design
Foundation systems