# Crystal flex bases and the RUM spectrum

@article{Badri2018CrystalFB, title={Crystal flex bases and the RUM spectrum}, author={Ghada Badri and Derek Kitson and S. C. Power}, journal={Proceedings of the Edinburgh Mathematical Society}, year={2018}, volume={64}, pages={735 - 761} }

A theory of infinite spanning sets and bases is developed for the first-order flex space of an infinite bar-joint framework, together with space group symmetric versions for a crystallographic bar-joint framework ${{\mathcal {C}}}$. The existence of a crystal flex basis for ${{\mathcal {C}}}$ is shown to be closely related to the spectral analysis of the rigid unit mode (RUM) spectrum of ${{\mathcal {C}}}$ and an associated geometric flex spectrum. Additionally, infinite spanning sets and bases…

## One Citation

### Linear zero mode spectra for quasicrystals

- MathematicsJournal of Mathematical Analysis and Applications
- 2022

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