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Titlebook: Space Structures; Arthur L. Loeb Book 1991 Arthur L. Loeb 1991 Statistica.boundary element method.form.group.mathematics.society.symmetry

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Duality,We have taken a special point of view of structure, namely as a system of interlinked elements of different dimensionalities. The valencies describe these linkages. In general, in three dimensions, eight valencies are variable, and two (the vertex valency of every edge, and the cell valency of every face) are necessarily equal to 2.
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Regular Structures,In Chapter 5 we discussed ., the fact that the . values of the valencies of structures obey some very rigid restrictions. The present chapter is the very antithesis of Chapter 5, for here we examine structures in which all elements of any one dimensionality have identical sets of valencies. Here the average values become . values of the valencies.
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