Abstract
The concept of t-bonded sets is a generalization of the concept of Delone (r;R)-system and a good instrument to create a point set model to describe materials like zeolites, which atomic structures are multi-regular “microporous” point sets. To better describe “microporous” structures it is worthwhile to take into consideration a parameter that represents atomic bonds within the matter. In this paper we generalize for t-bonded systems in R3 results of the local theory for regular point systems previously proven for Delone (r,R)-systems in R3. Applying similar concepts and techniques the corresponding results that are proven for multi-regular (r,R)-systems could also be generalized for multi-regular t-bonded systems.
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