Tilings of hyperbolic (2 × n)-board with colored squares and dominoes

DOI10.26493/1855-3974.1470.e79zbMath1411.05054arXiv1712.07823OpenAlexW2962779118MaRDI QIDQ4629551

Takao Komatsu, László Németh, László Szalay

Publication date: 27 March 2019

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07823

zbMATH Keywords

dominocombinatorial identitytilingFibonacci numbershyperbolic mosaic

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Recurrences (11B37) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Tilings of (2 × 2 × n)-board with coloured cubes and bricks

Uses Software

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Cites Work

• Tiling proofs of recent sum identities involving Pell numbers
• An algorithm for classification of fundamental polygons for a plane discontinuous group
• The On-Line Encyclopedia of Integer Sequences
• The Fibonacci Numbers: Exposed More Discretely
• Power sums in hyperbolic Pascal triangles
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