Quadric and Cubic Curves

The movies below depict a quadric or cubic curve (``Riemann surface'') in C² with coordinates (z,w) as the w-axis rotates at constant speed.

• Quadric z² + w² = 1 (still)
• Quadric z² + w² = 1 (movie)
• Cubic z³ + w² = 1 (still cut-away)
• Cubic z³ + z² = w² (still)
• Cubic z³ + w² = 1 (movie)
• Quartic z⁴ + w⁴ = 1 (still)

These files were created with the Complex Numbers add-on package to ePiX.