Results 11 to 20 of about 268 (44)
Twenty Vertex Model and Domino Tilings of the Aztec Triangle [PDF]
Electronic Journal of Combinatorics, 2021 We show that the number of configurations of the 20 Vertex model on certain domains with domain wall type boundary conditions is equal to the number of domino tilings of Aztec-like triangles, proving a conjecture of the author and Guitter.
P. Francesco
semanticscholar +1 more source
Polyhedral Gauss Sums, and polytopes with symmetry
, 2015 We define certain natural finite sums of $n$'th roots of unity, called $G_P(n)$, that are associated to each convex integer polytope $P$, and which generalize the classical $1$-dimensional Gauss sum $G(n)$ defined over $\mathbb Z/ {n \mathbb Z}$, to ...
Malikiosis, Romanos-Diogenes +2 more
core +2 more sources
Tile Count in the Interior of Regular 2n-gons Dissected by Diagonals Parallel to Sides [PDF]
, 2009 The regular 2n-gon (square, hexagon, octagon, ...) is subdivided into smaller polygons (tiles) by the subset of diagonals which run parallel to any of the 2n sides.
Mathar, Richard J.
core
Combinatorial Space Tiling [PDF]
, 2010 The present article studies combinatorial tilings of Euclidean or spherical spaces by polytopes, serving two main purposes: first, to survey some of the main developments in combinatorial space tiling; and second, to highlight some new and some old open ...
Schulte, Egon
core
Spherical tilings by congruent quadrangles : forbidden cases and substructures [PDF]
, 2015 In this article we show the non-existence of a class of spherical tilings by congruent quadrangles. We also prove several forbidden substructures for spherical tilings by congruent quadrangles.
Akama, Yohji, Van Cleemput, Nicolas
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Self-avoiding and plane-filling properties for terdragons and other triangular folding curves
, 2017 We consider $n$-folding triangular curves, or $n$-folding t-curves, obtained by folding $n$ times a strip of paper in $3$, each time possibly left then right or right then left, and unfolding it with $\pi /3$ angles.
Oger, Francis
core
Filling space with hypercubes of two sizes - The pythagorean tiling in higher dimensions. [PDF]
Mathematika, 2022 Führer J.
europepmc +1 more source
Peano-Gosper curves and the local isomorphism property
, 2017 We consider unbounded curves without endpoints. Isomorphism is equivalence up to translation. Self-avoiding plane-filling curves cannot be periodic, but they can satisfy the local isomorphism property: We obtain a set $\Omega $ of coverings of the plane ...
Oger, Francis
core
Self-similar sets. V. Integer matrices and fractal tilings of ⁿ
, 1991 C. Bandt
semanticscholar +1 more source
Complexity of sequences defined by billiard in the cube
, 1994 P. Arnoux +3 more
semanticscholar +1 more source