We explore convex shapes S in the Euclidean plane which have the following property: there is a circle C such that the angle between the two tangents from any point of C to S is constant equal to α. A dynamical formulation allows to analyze the existence of such shapes. Interestingly, the existence of non-circular shapes depends in a non-trivial way on the angle α.
No takes yet. Share an insight, caveat, or question.
Alexander Thomas (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: