Minkowskian rhombi and squares inscribed in convex Jordan curves

• Autorzy: Horst Martini , Senlin Wu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 52A10: Convex sets in 2 dimensions (including convex curves)
• 46B20: Geometry and structure of normed linear spaces
• 51M04: Elementary problems in Euclidean geometries

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 2
• Strony: 249-261

Daty

wydano

2010

Twórcy

autor

Horst Martini

• Faculty of Mathematics, TU Chemnitz, 09107 Chemnitz, Germany

autor

Senlin Wu

• Department of Applied Mathematics, Harbin University, of Science and Technology, 150080 Harbin, China

Identyfikatory

DOI

10.4064/cm120-2-5