Covering a rectangle with isosceles right triangles
Tight lower bounds for covering rectangles with right isosceles triangles are given. It is shown that a rectangle of size $$ a \times b $$ can be covered if the total area of the triangles is at least $$ \frac{1}{2}(a + b)^2 $$ for $$ b \le a \le \sqrt{2}b $$ , or $$ \frac{1}{4}(a + 2b)^2 $$ for $$ a > \sqrt{2}b $$ .
Authors
- Janusz Januszewski (ORCID: https://orcid.org/0000-0001-5096-9838)
- Łukasz Zielonka (ORCID: https://orcid.org/0000-0002-6278-8599)
Institutions
- Bydgoszcz University of Science and Technology (PL)
- AGH University of Krakow (PL)
Publication Details
- Journal
- Journal of Geometry
- Published
- 2025-11-11
- DOI
- https://doi.org/10.1007/s00022-025-00784-3
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00