A Calabi-Yau Manifold is a delicately curved, compact complex shape that's Ricci-flat and carries a holomorphic volume form, meaning it has the kind of internal symmetry mathematicians adore. It lives in six real dimensions (three complex dimensions), but we show it here as a 3D projection you can spin, zoom, and explore.

• In geometry - Calabi-Yau spaces are central examples in complex differential geometry and algebraic geometry
• In physics - They're the favorite hiding places for extra dimensions in string theory

For PC / Desktop:

• Rotate - Drag with your mouse to rotate the manifold manually
• Zoom - Use the zoom buttons or scroll wheel
• Details - Use the slider to increase or decrease mesh complexity

For Mobile Devices:

• Use touch to drag and pinch to zoom