The Intersection Conics of Six Straight Lines
Hans-Peter Schröcker · 2005
We investigate and visualize the manifold M of planes that intersect six straight lines of real projective three space in points of a conic section. It is dual to the apex-locus of the cones of second order that have six given tangents. In general M is algebraic of dimension two and class eight. It has 30 single and six double lines. We consider special cases, derive an algebraic equation of the manifold and give an ecient algorithm for the computation of solution planes.