Minkowskian rhombi and squares inscribed in convex Jordan curves
Volume 120 / 2010
Colloquium Mathematicum 120 (2010), 249-261
MSC: Primary 52A10; Secondary 46B20, 51M04.
DOI: 10.4064/cm120-2-5
Abstract
We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.
