Deltoid Tangents with Evenly Distributed Orientations and Random Tilings
نویسندگان
چکیده
We study the construction of substitution tilings plane based on certain simplicial configurations tangents deltoid with evenly distributed orientations. The random tiling ensembles are obtained as a result tile rearrangements in rules associated to edge flips. Special types for Euclidean, spherical and hyperbolic three-manifolds also considered.
منابع مشابه
Parallelogram Tilings, Worms, and Finite Orientations
This paper studies properties of tilings of the plane by parallelograms. In particular it is established that in parallelogram tilings using a finite number of shapes all tiles occur in only finitely many orientations.
متن کاملOn hypergraphs having evenly distributed subhypergraphs
Chung, F.R.K. and R.L. Graham, On hypergraphs having evenly distributed subhypergraphs, Discrete Mathematics 111 (1993) 125-129.
متن کاملEvenly Distributed Depth is the Worst for Distributed Snooping
In the purely object-parallel approach to multiprocessor rendering, each processor is assigned responsibility to render a subset of the graphics database. When rendering is complete, pixels from the processors must be merged and globally z-bu ered. On an arbitrary multiprocessor interconnection network, the straightforward algorithm for pixel merging requires dA total network bandwidth per fram...
متن کاملQuantifying evenly distributed states in exclusion and nonexclusion processes.
Spatial-point data sets, generated from a wide range of physical systems and mathematical models, can be analyzed by counting the number of objects in equally sized bins. We find that the bin counts are related to the Pólya distribution. New measures are developed which indicate whether or not a spatial data set, generated from an exclusion process, is at its most evenly distributed state, the ...
متن کاملMolecular random tilings as glasses.
We have recently shown that p-terphenyl-3,5,3',5'-tetracarboxylic acid adsorbed on graphite self-assembles into a two-dimensional rhombus random tiling. This tiling is close to ideal, displaying long-range correlations punctuated by sparse localized tiling defects. In this article we explore the analogy between dynamic arrest in this type of random tilings and that of structural glasses. We sho...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Symmetry in Physics
سال: 2023
ISSN: ['1312-5192', '1314-5673']
DOI: https://doi.org/10.7546/jgsp-65-2023-1-39