To have random-access lookup, a grid should have a scheme for numbering the tiles. For example, a square grid has rows and columns, which give a natural numbering for the tiles. Devise schemes for triangular and hexagonal grids. Use the numbering scheme to define a rule for determining the neighbourhood (i.e. adjacent tiles) of a given tile in the grid. For example, if we have a four-connected square grid, where the indices are i for rows and j for columns, the neighbourhood of tile i, j can be defined as neighbourhood(i, j) = {i ± 1, j,i, j ± 1}

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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To have random-access lookup, a grid should have a scheme for numbering the tiles.
For example, a square grid has rows and columns, which give a natural numbering
for the tiles. Devise schemes for triangular and hexagonal grids. Use the numbering
scheme to define a rule for determining the neighbourhood (i.e. adjacent tiles) of a
given tile in the grid. For example, if we have a four-connected square grid, where
the indices are i for rows and j for columns, the neighbourhood of tile i, j can be
defined as
neighbourhood(i, j) = {i ± 1, j,i, j ± 1}

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