Tilings of the square with similar rectangles

DOI10.1007/BF02574063zbMath0824.52023OpenAlexW2079956336WikidataQ56532101 ScholiaQ56532101MaRDI QIDQ1892430

Miklós Laczkovich

Publication date: 2 July 1995

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131381

zbMATH Keywords

squarecontinued fractionssimilar trianglesconjugates of algebraic numbersfinite tilingssimilar rectangles

Mathematics Subject Classification ID

Continued fractions (11A55) Combinatorial aspects of tessellation and tiling problems (05B45) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (7)

Tiling by rectangles and alternating current ⋮ Rectangling a rectangle ⋮ Dissections of trapezoids into trapezoids homothetical to trapezoids in a given family ⋮ Tilings of orthogonal polygons with similar rectangles or triangles ⋮ Constructing equidissections for certain classes of trapezoids ⋮ Tilings ⋮ Tilings

Cites Work

• Tilings of polygons with similar triangles
• Polynomials Whose Zeros Have Negative Real Parts

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