Minkowskian rhombi and squares inscribed in convex Jordan curves

Horst Martini, and Senlin Wu. "Minkowskian rhombi and squares inscribed in convex Jordan curves." Colloquium Mathematicae 120.2 (2010): 249-261. <http://eudml.org/doc/283861>.

@article{HorstMartini2010,
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.},
author = {Horst Martini, Senlin Wu},
journal = {Colloquium Mathematicae},
keywords = {closed convex curve; inscribed square; Jordan curve; Minkowski},
language = {eng},
number = {2},
pages = {249-261},
title = {Minkowskian rhombi and squares inscribed in convex Jordan curves},
url = {http://eudml.org/doc/283861},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Horst Martini
AU - Senlin Wu
TI - Minkowskian rhombi and squares inscribed in convex Jordan curves
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 249
EP - 261
AB - 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.
LA - eng
KW - closed convex curve; inscribed square; Jordan curve; Minkowski
UR - http://eudml.org/doc/283861
ER -