Periodic Platonic solids: the royal family of periodic nets
Among all the infinitely many 3D periodic networks you could draw in space, which ones are the most symmetric, in a strict, mathematically defined sense? This is the lattice analog of a very old question: if Platonic solids are the most symmetric finite polyhedra, what plays the same role for repeating structures in 3D?
Authors
- Wenjie Zhou (ORCID: https://orcid.org/0000-0002-7626-4032)
Institutions
- University of Illinois Urbana-Champaign (US)
Publication Details
- Journal
- Acta Crystallographica Section A Foundations and Advances
- Published
- 2025-11-25
- DOI
- https://doi.org/10.1107/s2053273325010538
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- article
- Field-Weighted Citation Impact
- 0.00