All Bézier curves are attractors of iterated function systems.
An alternative moving frame for tubular surfaces around time-like curves in the Minkowski 3-space.
An equality for the curvature function of a simple and closed curve on the plane.
Area and length of spherical cycloid
Area swept by line segment under a planar motion.
Asymptotic analysis of the equichordal problem.
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature
Asymptotic behavior of solutions of an area-preserving crystalline curvature flow equation is investigated. In this equation, the area enclosed by the solution polygon is preserved, while its total interfacial crystalline energy keeps on decreasing. In the case where the initial polygon is essentially admissible and convex, if the maximal existence time is finite, then vanishing edges are essentially admissible edges. This is a contrast to the case where the initial polygon is admissible and convex:...