Geodesic
Cutting Polygons Composed of Equal Rectangles into Similar Rectangles
Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 736-743.

Voir la notice de l'article provenant de la source Math-Net.Ru

Assume that a polygon is composed of equal rectangles. We find all quadratic irrationalities $r$ for which the polygon under study can be cut into similar rectangles with aspect ratio $r$.
Keywords: cutting, tiling, additive function, rectangle, quadratic irrationality. 
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I. V. Novikov. Cutting Polygons Composed of Equal Rectangles into Similar Rectangles. Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 736-743. http://geodesic.mathdoc.fr/item/MZM_2021_110_5_a7/

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