Abstract
Plane pictures of three-dimensional convex polyhedra, plane sections of three-dimensional Dirichlet tessellations, and flat spider webs with tension in all the threads are essentially the same geometric object. At the root of this remarkable coincidence is a single geometric diagram that permits us to offer a unified image of the connections among these and other objects. Some hints of these connections are more than a century old, but others are very recent. We begin with an historical sketch.
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© 2013 Springer Science+Business Media New York
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Whiteley, W., Ash, P.F., Bolker, E., Crapo, H. (2013). Convex Polyhedra, Dirichlet Tessellations, and Spider Webs. In: Senechal, M. (eds) Shaping Space. Springer, New York, NY. https://doi.org/10.1007/978-0-387-92714-5_18
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DOI: https://doi.org/10.1007/978-0-387-92714-5_18
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-92713-8
Online ISBN: 978-0-387-92714-5
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