Tiling Rectangles and the Plane Using Squares of Integral Sides

We study the problem of perfect tiling in the plane and explore the possibility of tiling a rectangle using integral distinct squares. Assume a set of distinguishable squares (or equivalently a set of distinct natural numbers) is given, and one has to decide whether it can tile the plane or a rectan...

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Bibliographic Details
Main Authors: Bahram Sadeghi Bigham, Mansoor Davoodi Monfared, Samaneh Mazaheri, Jalal Kheyrabadi
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/7/1027