• Introduction
• Equation
• Static figure
    (Visit this link if the figure won't load.)

• Introduction
• Equal   segments
• Implicit   equation

• Surface thumbnails
• JGV homepage

Introduction:
 
    This figure shows a portion of a degree 4 ruled surface. It can be view as a modification of the tangent surface of a twisted cubic. Specifically, each line on the surface is a secant line of the twisted cubic -- rather than a tangent line. Each color change that occurs along a smooth part of the surface -- whether from blue to yellow, from green to pink, or from red to purple -- occurs along a straight line that lies on the surface. Two smooth sheets of the surface cross along the twisted cubic curve.

    For discussion of the relationship between this surface and the tangent surface of the twisted cubic, please click here.