On the minimal area of quadrangles circumscribed about planar convex bodies
We show that every planar convex body is contained in a quadrangle whose area is less than ( 1 − 2.6 ⋅ 10 − 7 ) 2 times the area of the original convex body, improving the best known upper bound by W. Kuperberg.
Authors
- Florian Grundbacher
- Ferenc Fodor
Institutions
- University of Szeged (HU)
- Technical University of Munich (DE)
Publication Details
- Journal
- Discrete Mathematics
- Published
- 2026-03-12
- DOI
- https://doi.org/10.1016/j.disc.2026.115087
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00