E6 Root System Visualization

72 roots of the exceptional Lie group E₆

All roots have length √2 • Embedded in 6D subspace of 8D

Controls:

Click and drag to rotate
• Hold 1-6 + drag to rotate in dimension pairs
• Hold Shift for fine rotation
R to reset view
Space to toggle auto-rotation
L to toggle connection lines
P to toggle projection mode
C to cycle color schemes

Roots: 72
Connections: 0
Rotation: 2D
Auto-rotate: OFF
Color scheme: Type