Abstract
It is shown that a relation whose tuples describe a regular folded
spatial grid contains a join dependency, that originates in the
geometrical properties of the grid. There is a class of join
dependencies corresponding to 2-dimensional grids, or polygonal
join dependencies, and a class corresponding to 3-dimensional
grids, or polyhedral join dependencies, and so on. The simplest
known join dependency turns out to be a triangular join dependency.
A grid must be folded to determine the tuples of the relation
describing it. A regular grid contains only one type of polygon or
polyhedron.
Notes
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