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We review the concept of growth on a discrete planar grid based on eight-neighbor time delays, and show that this process can be regarded as pattern generation by a context-sensitive isometric array grammar. We introduce a concept of growth in an environment by allowing the generation process to be influenced by a background pattern of scalar values, and illustrate how this increases the power of...
Unconstrained, uniform growth on a regular grid of cells, starting from a single cell, results in a simple (centrally symmetric) shape. On a square grid, for example, the resulting clusters of cells would be diamonds (rotated squares) using 4-neighbor growth, or squares using 8-neighbor growth. In order to model growth that is directed and focused in some directions and resisted in others, we formulate...
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