Year: 2025
Type: article
Abstract: In 1985, Linderholm posed the following problem: does every convex body K in the plane admit a right-angled triangle T that contains K and whose area is at most twice that of K ? Assuming that K has constant width, we prove that such a triangle T exists with area at most 2.07016 times the area of K .
Source: Journal of Geometry
Author: Christoph Thäle
Institution: Ruhr University Bochum
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Ruhr-Universität Bochum
OpenAlex ID: W4416537273