Abstract
If you live in a city having subway service, it would be useful to be able to read from a map which subway station would be closest to any location where you may find yourself at a given moment. And if you go to college, you might want to know at any moment where the nearest dining hall would be. If you have children, you might want to know the location of the nearest school. Churches, cities, any center of attraction, actually have their own regions, defined such that any location within that region is closer to the center within its borders than to any other center. Such a region is called a Dirichlet domain, after a mathematician whose wife, incidently, was a sister of composer Felix Mendelssohn. Dirichlet domains are regions associated with arrays of discrete points.
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Notes
Loeb, A. L.: Space Structures, Their Harmony and Counterpoint, Birkhäuser Boston/Berlin/Basel, 132 (reprinted 1991).
Loeb, A. L.: op. cit., Chapter 14.
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© 1993 Springer Science+Business Media New York
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Loeb, A.L. (1993). Dirichlet Domains. In: Concepts & Images. Design Science Collection. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0343-8_11
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DOI: https://doi.org/10.1007/978-1-4612-0343-8_11
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