Poster: Nodal Cubic

Description

What does a plane curve, such as a parabola or hyperbola, look like at infinity? The answer depends on what we mean by “at infinity.” In projective geometry we place our curve in a plane in space, not through the origin, and consider the cone comprising all lines through the origin and a point of our curve. Intersecting this cone with other planes, or with a sphere at the origin, shows our original curve with points at infinity.