Results 231 to 240 of about 42,911 (263)

THE STICK NUMBER FOR THE SIMPLE HEXAGONAL LATTICE

Journal of Knot Theory and Its Ramifications, 2012
This work is motivated by a paper of Huh and Oh, in which the authors prove that the minimum number of sticks required to form a knot in ℤ3 is 12. In this article the authors prove that the stick number in the simple hexagonal lattice is 11. Moreover, the stick number of the trefoil in the simple hexagonal lattice is 11.
Mann, Casey E., Mcloud-Mann, Jennifer C., Milan, David P.   +2 more
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Non-hexagonal ice at hexagonal surfaces: the role of lattice mismatch

Physical Chemistry Chemical Physics, 2012
It has long been known that ice nucleation usually proceeds heterogeneously on the surface of a foreign body. However, little is known at the microscopic level about which properties of a material determine its effectiveness at nucleating ice. This work focuses on the long standing, conceptually simple, view on the role of a good crystallographic match
Stephen J, Cox, Shawn M, Kathmann, John A, Purton, Michael J, Gillan, Angelos, Michaelides   +4 more
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PROTEIN FOLDING ON THE HEXAGONAL LATTICE IN THE HP MODEL

Journal of Bioinformatics and Computational Biology, 2005
In this paper, we introduce the 2D hexagonal lattice as a biologically meaningful alternative to the standard square lattice for the study of protein folding in the HP model. We show that the hexagonal lattice alleviates the "sharp turn" problem and models certain aspects of the protein secondary structure more realistically.
Minghui Jiang 0001, Binhai Zhu
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Colorings of a Hexagonal Lattice

Journal of Mathematical Physics, 1970
The number of ways WL of coloring the bonds of a hexagonal lattice of L sites (L large) with three colors so that no adjacent bonds are colored alike is calculated exactly, giving W = 1.20872 …. This is equivalent to counting the number of 4-colorings of the faces of the lattice and can also be regarded as a multiple-dimer problem.
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Hexagonal Lattice Coordinates

Nuclear Science and Engineering, 1968
The Schwarz-Christoffel conformal mapping of the interior of a regular hexagon upon the interior of a circle has been integrated analytically, as a simple irrational function of the Weierstrass equ...
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Computing the Discrete Fourier Transform on a Hexagonal Lattice

Journal of Mathematical Imaging and Vision, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrew Vince, Xiqiang Zheng
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Square to hexagonal lattices conversion

Signal Processing, 1985
Abstract In order to build up hexagonal digital pictures from square ones, each point of the hexagonal lattice is given the value of its nearest neighbour in a superimposed square lattice. This simple rule has the advantage to transform a binary set into a binary set and a grey-tone function into a grey-tone function. In case of convolution, it gives
J. Serra, B. Laÿ
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Contact process on hexagonal lattice

Acta Mathematica Scientia, 2010
Abstract In this article, we discuss several properties of the basic contact process on hexagonal lattice ℍ , showing that it behaves quite similar to the process on d-dimensional lattice Zd in many aspects. Firstly, we construct a coupling between the contact process on hexagonal lattice and the oriented percolation, and prove an equivalent
Yao Qiang, Li Qunchang
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Lattice dynamics of hexagonal ice

Chemical Physics Letters, 1969
The lattice dynamics of hexagonal ice is worked out with the force constants deduced from the experimental elastic constants.
Haridasan, TM, Govindarajan, J
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?Percolative? dynamics in the hexagonal lattice

Zeitschrift f�r Physik B Condensed Matter, 1993
We study a ‘percolative’ dynamic model for the hexagonal lattice. Random trajectories are generated and their critical behaviour is studied. The critical behaviour corresponds to that of simple percolatio in some of the parameter space, but elsewhere the exponents reveal new universality classes.
J. D. Catal�, J. Ruiz, M. Ortu�o
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