Abstract
Hexagonal arrays on a triangular grid are treated as two-dimensional representations of three-dimensional rectangular parallelepipeds. Grammatical models for generating hexagonal arrays are introduced. Properties of special classes of hexagons are studied. A new kind of catenation called arrowhead catenation is defined so that the hexagonal shape is maintained, in every generation. Perceptual twins of a given set of blocks are obtained formally from the grammar generating the original set of blocks.
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