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Periodic Table of the Polyhedral Universe

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Trends in Structural Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 54))

Abstract

The Periodic Table of the Polyhedral Universe is a tabular arrangement of all known and hypothetical polyhedra*, which comply with the celebrated Euler’s formula of V-E+F=2(1−g), where V;E;F and g stand for vertices, edges, faces and genus of the 2-manifold, respectively, with K=2(1−g) as the Euler characteristic of 2-manifold surfaces in 3-D space. (1)

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References

  1. Burt, M. (1982). The Wandering Vertex Method. Journal of Structural Topology, #6, Montreal, Canada.

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  2. Burt, M. (1996). The Periodic Table of the Polyhedral Universe. Technion Publication, Israel.

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  3. Burt, M. (1966) Spatial Arrangements and Polyhedra with Curved Surfaces and their Architectural Applications. Technion publication, Israel.

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  4. Burt, M. and Koren, A (1994) Periodic Hyperbolic Surfaces and subdivision of 3-Space. Hyper space, Vol. 3,#. 3, Japan.

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  5. Wachman, A., Burt, M. and Kleinman, M.(1974). Infinite Polyhedra.. Technion Publication, Israel.

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  6. Wester, T. (1984) Structural Order in Space, the Plate-Lattice Dualism. Danish Royal Academy Publication.

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© 1997 Springer Science+Business Media Dordrecht

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Burt, M. (1997). Periodic Table of the Polyhedral Universe. In: Roorda, J., Srivastava, N.K. (eds) Trends in Structural Mechanics. Solid Mechanics and Its Applications, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5476-5_19

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  • DOI: https://doi.org/10.1007/978-94-011-5476-5_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6303-6

  • Online ISBN: 978-94-011-5476-5

  • eBook Packages: Springer Book Archive

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