What is it about?
We prove the conjecture of Grosse-Kunstleve et al. that coordination sequences of periodic structures in n-dimensional Euclidean space are rational. This has been recently proven by Nakamura et al.; however, our proof is a straightforward application of classic techniques from automata theory.
Featured Image
Photo by Andrew Ridley on Unsplash
Why is it important?
We prove a conjecture appearing in Acta Crystallographica in 1996 using the techniques of automata theory.
Perspectives
Read the Original
This page is a summary of: Coordination sequences of periodic structures are rational via automata theory, Acta Crystallographica Section A Foundations and Advances, February 2022, International Union of Crystallography,
DOI: 10.1107/s2053273322000262.
You can read the full text:
Resources
Contributors
The following have contributed to this page