From teaching experience. XVII. Borders and Curie’s limit groups
Автор: Yu.L. Voytekhovsky
Журнал: Вестник геонаук @vestnik-geo
Рубрика: Научные статьи
Статья в выпуске: 4 (364), 2025 года.
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When closing a finite linear ornament into a ring, translation along a straight line turns into rotation around a finite-order symmetry axis. A natural analogy between the symmetry groups of crystallographic borders and Curie’s limit symmetry groups with one ∞ axis arises on an endless ring. But the former are seven and the latter are five. Another two are isolated in the paper from the limit groups ∞/m of rotating and ∞/mm of common cylinders. Thereby a mutually unambiguous correspondence has been achieved. The example is recommended for consideration in the university course of crystallography on the topics «Symmetry groups of borders» and «Curie’s limit groups».
Symmetry groups of borders, Curie’s limit groups
Короткий адрес: https://sciup.org/149148050
IDR: 149148050 | DOI: 10.19110/geov.2025.4.5