Minkowskian rhombi and squares inscribed in convex Jordan curves
Horst Martini ; Senlin Wu
Colloquium Mathematicae, Tome 120 (2010), p. 249-261 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283861 
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     title = {Minkowskian rhombi and squares inscribed in convex Jordan curves},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {249-261},
     zbl = {1213.52001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-5}
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Horst Martini; Senlin Wu. Minkowskian rhombi and squares inscribed in convex Jordan curves. Colloquium Mathematicae, Tome 120 (2010) pp. 249-261. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-5/