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.
Original language | English (US) |
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Article number | 822 |
Journal | Symmetry |
Volume | 14 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2022 |
Keywords
- Hermann–Mauguin notation
- graphs
- knots
- links
- nets
- tangles
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Chemistry (miscellaneous)
- General Mathematics
- Physics and Astronomy (miscellaneous)