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The three types of grid systems are: Cartesian grids, which are based on a rectangular coordinate system and are commonly used in mathematics and engineering; hexagonal grids, which consist of hexagon-shaped cells and are often used in natural sciences and game design for their efficiency in tiling space; and polar grids, which use a circular coordinate system based on angles and distances from a central point, typically employed in scenarios involving circular data or navigation. Each grid type serves specific purposes depending on the context and requirements of the application.

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