G2 Root System Visualization

12 roots of the exceptional Lie group G₂

6 short roots (length √2) • 6 long roots (length √6)

Controls:

Click and drag to rotate
• Hold 1-6 + drag to rotate in higher dimensions
• Hold Shift for fine rotation
R to reset view
Space to toggle auto-rotation
L to toggle connection lines
P to toggle projection mode (2D/3D)

Roots: 12
Short roots: 6
Long roots: 6
Rotation: 2D
Auto-rotate: OFF
Projection: 2D