Parallelogram tilings and Jacobi-Perron algorithm
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Publication:1335272
DOI10.3836/tjm/1270128186zbMath0805.52011OpenAlexW1976512427MaRDI QIDQ1335272
Publication date: 28 September 1994
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3836/tjm/1270128186
Continued fractions and generalizations (11J70) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)
Related Items (17)
Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions ⋮ On simultaneous approximation to \((\alpha,\alpha^2)\) with \(\alpha^3+k\alpha-1=0\). ⋮ Universal karyon tilings ⋮ Functional stepped surfaces, flips, and generalized substitutions ⋮ Digital planarity -- a review ⋮ Two-dimensional iterated morphisms and discrete planes ⋮ Decidability Problems for Self-induced Systems Generated by a Substitution ⋮ A study of Jacobi-Perron boundary words for the generation of discrete planes ⋮ Combinatorial properties of multidimensional continued fractions ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Geometrical models for a class of reducible Pisot substitutions ⋮ Plane digitization and related combinatorial problems ⋮ A combinatorial approach to products of Pisot substitutions ⋮ A New Multidimensional Slow Continued Fraction Algorithm and Stepped Surface ⋮ The complexity of functions on lattices ⋮ A \(d\)-dimensional extension of Christoffel words
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