Image sampling with quasicrystals.
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Improved Bounds for the Disk-packing Constant
DAVID W. BOYD (1973)
Aequationes mathematicae
Improved coverings of a square with six and eight equal circles.
Melissen, J.B.M., Schuur, P.C. (1996)
The Electronic Journal of Combinatorics [electronic only]
Improved inclusion-exclusion inequalities for simplex and orthant arrangements.
Naiman, Daniel Q., Wynn, Henry P. (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Improving dense packings of equal disks in a square.
Boll, W.David, Donovan, Jerry, Graham, Ronald L., Lubachevsky, Boris D. (2000)
The Electronic Journal of Combinatorics [electronic only]
Inequalities for lattice constrained planar convex sets.
Hillock, Poh Wah, Scott, Paul R. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Infinite perfekte Dreieckszerlegungen auch für gleichseitige Dreiecke.
Bernhard Klaaßen (1995)
Elemente der Mathematik
Infinite periodic discrete minimal surfaces without self-intersections.
Rossman, Wayne (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Inflationary tilings with a similarity structure.
Richard Kenyon (1994)
Commentarii mathematici Helvetici
Inhomogeneous extreme forms
Mathieu Dutour Sikirić, Achill Schürmann, Frank Vallentin (2012)
Annales de l’institut Fourier
G.F. Voronoi (1868–1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a characterization of locally most economic packings is given, but a corresponding result for coverings has been missing. In this paper we bridge the two classical memoirs.By looking at the covering problem from a different perspective, we discover the missing analogue. Instead of trying to find lattices giving economical...
Integer partitions, tilings of -gons and lattices
Matthieu Latapy (2002)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of -gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a -gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist.
Integer Partitions, Tilings of 2D-gons and Lattices
Matthieu Latapy (2010)
RAIRO - Theoretical Informatics and Applications
In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of 2D-gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a 2D-gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist.
Integer Points on Curves and Surfaces.
Wolfgang M. Schmidt (1985)
Monatshefte für Mathematik
Integral Self-Affine Tiles in ... Part II: Lattice Tilings.
Yang Wang, Jeffery C. Lagarias (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Interpretations of the -vector.
Skandera, Marcos (2001)
Boletín de la Asociación Matemática Venezolana
Intrinsic Volumes and Lattice Points of Crosspolytopes.
Ulrich Betke, Martin Henk (1993)
Monatshefte für Mathematik
Introduction aux quasicristaux
Laurent Guillopé (1984/1985)
Séminaire de théorie spectrale et géométrie
Introduction aux quasicristaux
André Katz (1997/1998)
Séminaire Bourbaki
Ionpackings in the space
KÁROLY BEZDEK (1986)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Isohedrally compatible tilings
Philip M. Maynard (2002)
Visual Mathematics
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