Abstract
The geometric features of sponges, which describe polycontinuous morphologies, are discussed. The focus is on 3-periodic surfaces, which have an underlying 3-d lattice. Definitions and explanations of a range of concepts from non-euclidean geometry, topology and differential geometry are used to derive local and global features of smoothly curved sponges, facetted polyhedral sponges and reticulating networks of edges on these forms.
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Hyde, S.T. (1999). Sponges. In: Sadoc, J.F., Rivier, N. (eds) Foams and Emulsions. NATO ASI Series, vol 354. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9157-7_26
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DOI: https://doi.org/10.1007/978-94-015-9157-7_26
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