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Matematicheskie Zametki, 2021, Volume 110, Issue 5, Pages 736–743
DOI: https://doi.org/10.4213/mzm13262 (Mi mzm13262) 		 
Cutting Polygons Composed of Equal Rectangles into Similar Rectangles

I. V. Novikov

National Research University "Higher School of Economics", Moscow
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DOI: https://doi.org/10.4213/mzm13262
Abstract: 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.
Received: 12.03.2019
English version:
Mathematical Notes, 2021, Volume 110, Issue 5, Pages 726–731
DOI: https://doi.org/10.1134/S0001434621110092
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: I. V. Novikov, “Cutting Polygons Composed of Equal Rectangles into Similar Rectangles”, Mat. Zametki, 110:5 (2021), 736–743; Math. Notes, 110:5 (2021), 726–731
Citation in format AMSBIB
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