2 papers
math.CA2026
A Minimalist Approach to Rolling Wheels
Antonín Slavík, Stan Wagon
In 1960, G. B. Robison discovered the general equations relating roads and wheels, where either can have an unusual shape (e.g., the square wheel rolls smoothly on a catenary). But…
math.DG2025
A Spiral Bicycle Track that Can Be Traced by a Unicycle
Stan Wagon
A unibike curve is a track that can be made by either a bicycle or a unicycle. More precisely, the end of a unit tangent vector at any point on a unibike curve lies on the curve (s…