In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space ⁠ ⁠, forms a regular tiling. This implies that the group of bijective transformations that send the graph to itself is a lattice in the group-theoretical sense.

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Apr 12, 2025 · A lattice graph, also known as a mesh graph or grid graph, is a graph possessing an embedding in a Euclidean space R^n that forms a regular tiling. Examples include grid graphs and triangular grid graphs.

A two-dimensional grid graph, also known as a rectangular grid graph or two-dimensional lattice graph (e.g., Acharya and Gill 1981), is an lattice graph that is the graph Cartesian product of path graphs on and vertices.

A lattice is the symmetry group of discrete translational symmetry in n directions. A pattern with this lattice of translational symmetry cannot have more, but may have less symmetry than the lattice itself. [1]

In mathematics, the n-dimensional integer lattice (or cubic lattice), denoted ⁠ ⁠, is the lattice in the Euclidean space ⁠ ⁠ whose lattice points are n-tuples of integers. The two-dimensional integer lattice is also called the square lattice, or grid lattice.

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

As nouns the difference between lattice and grid is that lattice is a flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis while grid is a rectangular array of squares or rectangles of equal size, such as in …

Oct 18, 2023 · Use lattice multiplication to multiply numbers and find the answer using a lattice grid structure. Lattice multiplication is also known as Italian multiplication, Gelosia multiplication, sieve multiplication, shabakh, Venetian squares, or the Hindu lattice.[1]

Lattice multiplication is a fun way of solving long multiplication problems with a grid. This page contains lattice grids of various sizes. There are also several practice worksheets that explain how to use the lattice method to solve multiplication problems.