Dihedral f-tilings of the sphere by equilateral and scalene triangles. III.
Dihedral f-tilings of the sphere by equilateral and scalene triangles-I
Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles.
Divisible tilings in the hyperbolic plane.
Domino tilings and products of Fibonacci and Pell numbers.
Dynamics of icosahedral viruses: what does viral tiling theory teach us?
Eigenvalues of GUE minors.
Empilements de cercles et modules combinatoires
Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
Enumeration of 2-isohedral tilings on the sphere
Erratum to “Eigenvalues of GUE minors" [Electron. J. Probab. 11, 1342–1371 (2006; Zbl 1127.60047)].
Fractal Penrose tiles II: Tiles with fractal boundary as duals of Penrose triangles.
Fractal Penrose tilings I. Construction and matching rules.
Fresnel zones on the screen.
Geometric and combinatorial structure of a class of spherical folding tessellations – I
A classification of dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent four papers by Avelino and Santos (2012, 2013, 2014 and 2015). In this paper we extend this classification, presenting all dihedral folding tessellations of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle. Within two possible cases of adjacency, only one will be addressed....
Hard squares with negative activity and rhombus tilings of the plane.
Hard squares with negative activity on cylinders with odd circumference.
Horoball packings for the Lambert-cube tilings in the hyperbolic 3-space.
Infinite perfekte Dreieckszerlegungen auch für gleichseitige Dreiecke.
Inflationary tilings with a similarity structure.
Integer partitions, tilings of -gons and lattices
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.