The decomposition of a square into rectangles of minimal perimeter (Q1082348)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The decomposition of a square into rectangles of minimal perimeter |
scientific article; zbMATH DE number 3972876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The decomposition of a square into rectangles of minimal perimeter |
scientific article; zbMATH DE number 3972876 |
Statements
The decomposition of a square into rectangles of minimal perimeter (English)
0 references
1987
0 references
This paper solves the problem of subdividing a unit square into p rectangles of area 1/p in such a way that the maximal perimeter of a rectangle is as small as possible. The correctness of the solution is proved using the well-known theorems of Menger and Dilworth.
0 references
subdividing a unit square
0 references
rectangles
0 references
perimeter
0 references