Spiralling and Folding: The Topological View

For every n, we construct two arcs in the four-punctured sphere that have at least n intersections and which do not form spirals. This is accomplished in several steps: we first exhibit closed curves on the torus that do not form double spirals, then arcs on the four-punctured torus that do not form spirals, and finally arcs in the four-punctured sphere which do not form spirals.

• Type: Conference
• Year: 2007
• Where: CCCG
• Authors: Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
• Keywords: CCCG 2007, Computational Geometry, Double Spirals, Exhibit Closed Curves, Four-punctured Sphere