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regular grid

n. (context mathematics English) a tessellation of Euclidean space into congruent rectangles, parallelograms, cuboids, or more generally, parallelotopes

Wikipedia
Regular grid

A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). Grids of this type appear on graph paper and may be used in finite element analysis as well as finite volume methods and finite difference methods. Since the derivatives of field variables can be conveniently expressed as finite differences, structured grids mainly appear in finite difference methods. Unstructured grids offer more flexibility than structured grids and hence are very useful in finite element and finite volume methods.

Each cell in the grid can be addressed by index (i, j) in two dimensions or (i, j, k) in three dimensions, and each vertex has coordinates (i ⋅ dx, j ⋅ dy) in 2D or (i ⋅ dx, j ⋅ dy, k ⋅ dz) in 3D for some real numbers dx, dy, and dz representing the grid spacing.

Usage examples of "regular grid".

There was a huge variety of trees, but with the canals slicing through them they formed such a regular grid it made them look like nothing more than fields.

All the desks, in fact, were arranged in a perfectly regular grid, facing in the same direction- which is to say, toward Miss Stricken or one of her two assistants, Miss Bowlware and Mrs.

All the desks, in fact, werein a perfectly regular grid, facing in the same direction-is to say, toward Miss Stricken or one of her two assistants,Bowlware and Mrs.

Instead it was like a military city, a regular grid of ditched laneways, flanked by the leather eight-man tents of the soldiers.

He could have found out why it aborted the regular grid, and corrected the malfunction.

A regular grid of concrete domes dotted the sea around the airstrip, and farther away were big floating docks.

Chansa had set that up before the Fall, but after the Fall he had assumed that the power had been dumped into the regular grid and locked out like all the rest.

As the call went out, all ships that were able to do so disengaged themselves and drove at top speed several million miles to the south, where they formed themselves into a far-flung but regular grid pattern.

Ancient Alexandria was laid out on a neat, regular grid pattern - just the kind of thing you would expect of a place populated by people like Euclid.

The surface of Marslake was dotted with thousands of small islands, laid out on a regular grid and connected by roads wide enough for foot traffic or small wheeled vehicles.