Details

Autor(en) / Beteiligte

• Schwartz, Richard Evan

Titel

A trichotomy for rectangles inscribed in Jordan loops

Ist Teil von

• Geometriae dedicata, 2020-10, Vol.208 (1), p.177-196

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2020

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove a general structural theorem about rectangles inscribed in Jordan loops. One corollary is that all but at most 4 points of any Jordan loop are vertices of inscribed rectangles. Another corollary is that a Jordan loop has an inscribed rectangle of every aspect ratio provided it has 3 points which are not vertices of inscribed rectangles.