Abstract
In Chapter 5 we discussed statistical symmetry, the fact that the average 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 the values of the valencies.
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Notes
Cf., for instance, Arthur L. Loeb: Color and Symmetry (Wiley, New York, 1971), p. 33, theorem 10.
H. S. M. Coxeter: Introduction to Geometry (Wüey, New York, 1961), Section 22.3.
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© 1991 Arthur L. Loeb
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Loeb, A.L. (1991). Regular Structures. In: Space Structures. Design Science Collection. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0437-4_9
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DOI: https://doi.org/10.1007/978-1-4612-0437-4_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6759-1
Online ISBN: 978-1-4612-0437-4
eBook Packages: Springer Book Archive