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.

Creator

• DeAraujo, Yani Lindbergh

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042717-114723

Advisor

• Servatius, Brigitte

Year

• 2017

Date created

• 2017-04-27

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright

License

• All rights reserved