Minkowskian rhombi and squares
 inscribed in convex Jordan curves

Horst Martini; Senlin Wu

doi:10.4064/cm120-2-5

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

Minkowskian rhombi and squares inscribed in convex Jordan curves

Tom 120 / 2010

Horst Martini, Senlin Wu Colloquium Mathematicum 120 (2010), 249-261 MSC: Primary 52A10; Secondary 46B20, 51M04. DOI: 10.4064/cm120-2-5

Streszczenie

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.

Autorzy

Horst MartiniFaculty of Mathematics
TU Chemnitz
09107 Chemnitz, Germany
e-mail
Senlin WuDepartment of Applied Mathematics
Harbin University
of Science and Technology
150080 Harbin, China
e-mail

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