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A Mathematical Analysis of Zeolites

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Zeolites are naturally occurring minerals consisting of simple building blocks which mathematically correspond to tetrahedra. As a purely combinatorial concept, n-dimensional zeolites may be defined as line graphs of (n + 1)-regular graphs. Not all combinatorial zeolites have geometric realizations. We introduce the layer construction to obtain an (n + 1) dimensional geometric zeolite from an n-dimensional one. By interpreting the Harborth graph as a finite 2-dimensional geometric zeolite, we obtain, using the layer construction, a fi nite 3-dimensional geometric zeolite, which might be synthesized.

  • This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
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  • E-project-042717-114723
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  • 2017
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  • 2017-04-27
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