Resumen de Curves of constant width and Zindler curves: Duality and algebraic equations
The relationship between curves of constant width and Zindler curves with offsets and front track curves is described and generalized to non-convex shapes. A one-toone correspondence between hedgehogs of constant width and standard generalized Zindler curves is provided in terms of a projective hedgehog. With this idea, given a family of projective hedgehogs defined by trigonometric polynomials as support functions, an explicit method to compute algebraic equations for the associated curves of constant width and Zindler curves is possible. This extends the methodology used by Rabinowitz and Martinez-Maure in particular constant width curves to generate a full family of algebraicequations, both of curves of constant width and Zindler curves.
