The rectangular lattice and rhombic lattice (or centered rectangular lattice) constitute two of the five two-dimensional Bravais lattice types. The symmetry...

coordinate-wise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance...

square (square lattice, itself p4m). In the 5 cases of reflection or glide reflection, but not both, the cell is a rectangle (rectangular lattice, itself pmm)...

In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (1850), is an infinite array of discrete points generated by a set of...

Orthorhombic lattices result from stretching a cubic lattice along two of its orthogonal pairs by two different factors, resulting in a rectangular prism with...

Tetragonal crystal lattices result from stretching a cubic lattice along one of its lattice vectors, so that the cube becomes a rectangular prism with a square...

two-dimensional Bravais lattices are represented using conventional primitive cells, as shown below. The centered rectangular lattice also has a primitive...

with exponent 1. One of the five 2D lattice types is the rhombic lattice, also called centered rectangular lattice. Rhombi can tile the 2D plane edge-to-edge...

include a hexagonal lattice structure and a rectangular lattice structure. Out of the theorized structures the rectangular lattice of 6,6,12-graphyne may...

rectangular lattices with coprime dimensions, only periodic orbits exist. In 2008 periodic intermediate phases were also observed in square lattices....

(oblique, rectangular, square, hexagonal), four crystal families (oblique, rectanguar, square, hexagonal), and four lattice systems (oblique, rectangular, square...

triangular lattice it is regular; in the case of a rectangular lattice the hexagons reduce to rectangles in rows and columns; a square lattice gives the...

In the same way the Bravais lattice is divided up into Wigner–Seitz cells in the real lattice, the reciprocal lattice is broken up into Brillouin zones...

. So the total number of lattice paths remains the same. Superimpose the NE lattice paths squared onto the same rectangular array, as seen in the figure...

being the maximal lattice image of S {\displaystyle S} , thus making every skew lattice S {\displaystyle S} a lattice of rectangular subalgebras. This...

+p_{d-1}z+p_{d}:=(z-\zeta _{1})(z-\zeta _{2})\cdots (z-\zeta _{d})} . Then for a rectangular lattice z m n = z 00 + m Δ x + i n Δ y ; m = 0 , … , M − 1 ; n = 0 , … ,...

In mathematics, Young's lattice is a lattice that is formed by all integer partitions. It is named after Alfred Young, who, in a series of papers On quantitative...

degree of four, the nodes are imagined laid out in a two-dimensional rectangular lattice of n rows and n columns, with each node connected to its four nearest...

Superconducting transmon 9×6 lattice — 53 effective (54 total) 2019 Google Willow Superconducting transmon rotated rectangular lattice (see spec sheet) 99.965%...

specific lattice. For example, a 60° rotation will not work with a square lattice; nor will a 90° rotation work with a rectangular lattice. When the...

initially laying out the main lath members flat in a regular square or rectangular lattice, and subsequently deforming this into the desired doubly curved form...

square). Bands were first studied and named by A. H. Clifford (1954). The lattice of varieties of bands was described independently in the early 1970s by...

in a rectangular or triangular wooden frame, forming a three-sided or four-sided pyramid. Both arrangements produce a face-centered cubic lattice – with...

puzzle developed by publisher Nikoli. Slitherlink is played on a rectangular lattice of dots. Some of the squares formed by the dots have numbers inside...

mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by ions in the...

points on the integer lattice. A rectilinear grid is a tessellation by rectangles or rectangular cuboids (also known as rectangular parallelepipeds) that...

rectangular lattice. Similarly periodic replication of the hexagonal region of support maps to sampling the continuous signal on a hexagonal lattice....

the frequency regions in Figure can be critically sampled by the rectangular lattice spanned by D 1 {\displaystyle D_{1}} . So imagine the filter bank...

Fourier optics): where for mathematical simplicity, we assume a rectangular lattice in which α only depends on m and β only depends on n. In the equations...

to sample two-dimensional fields is to sample it at points on a rectangular lattice. However, this is not always the ideal choice in terms of the sampling...