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The challenge of any pattern language lies in what makes the pattern meaningful. For psycho-social organization, what is "goodness of fit" in a cognitive, organizational and strategic context where comprehension is critical to communication, credibility, coherence and viability?
A core issue is any limitation on the capacity of the human mind to "grasp" sets of elements of any degree of complexity and how any such constraints may be circumvented in the organization of principles, categories, organizations or strategies as discussed elsewhere (Representation, Comprehension and Communication of Sets: the role of number, 1978). Polyhedra represent an interesting way of bypassing the constraints of hierarchical and networking metaphors -- combining their advantages and compensating for their respective weaknesses.