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authors Earl, Chris F.
year 2001
title Symmetry and Equality of Shapes
source J. S. Gero, B. Tversky and T. Purcell (eds), 2001, Visual and Spatial Reasoning in Design, II - Key Centre of Design Computing and Cognition, University of Sydney, Australia
summary Shapes are equal if the spatial relations between their parts areequal. But spatial relations are equal if shapes characterizing the relationare equal. This recursive nature of shape and shape relations isexamined. A repeated shape has distinct parts each equal and in one of aspecified set of spatial relations to another part. A symmetrical shapehas the same spatial relation to each part of some repeated shape.Repeated shapes are simple examples of generated shapes but can showintricate behaviour and indicate the problems of predicting spatialproperties in generative shapes.
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