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The Symmetry and Topology of Finite and Periodic Graphs and Their Embeddings in Three-Dimensional Euclidean Space.
- Source :
- Symmetry (20738994); Apr2022, Vol. 14 Issue 4, pN.PAG-N.PAG, 19p
- Publication Year :
- 2022
-
Abstract
- We make the case for the universal use of the Hermann-Mauguin (international) notation for the description of rigid-body symmetries in Euclidean space. We emphasize the importance of distinguishing between graphs and their embeddings and provide examples of 0-, 1-, 2-, and 3-periodic structures. Embeddings of graphs are given as piecewise linear with finite, non-intersecting edges. We call attention to problems of conflicting terminology when disciplines such as materials chemistry and mathematics collide. [ABSTRACT FROM AUTHOR]
- Subjects :
- TOPOLOGY
SYMMETRY
FINITE, The
MATHEMATICS
TERMS & phrases
CHARTS, diagrams, etc.
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 156624580
- Full Text :
- https://doi.org/10.3390/sym14040822