From teaching experience. XIV. On the variety of tetrahedrons

Автор: Voytehovskiy Yu.

Журнал: Вестник геонаук @vestnik-geo

Рубрика: Научные статьи

Статья в выпуске: 4 (352), 2024 года.

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The paper proposes the derivation of 25 combinatorial-geometric kinds of tetrahedrons belonging to 8 point symmetry groups. Among them are 3 simple forms: cubic (-43m), tetragonal (-42m) and rhombic (222) tetrahedrons; and 5 combinations: trigonal pyramid and monohedron (3m), 2 planar dihedrons (mm2, 2 kinds), 2 axial dihedrons (2, 3 kinds), planar dihedron and 2 monohedrons (m, 5 kinds), 4 monohedrons (1, 11 kinds). It is shown that tetrahedrons with symmetry 23, -4 and 3 - subgroups of the point symmetry group of the cubic tetrahedron - are impossible. The example is recommended for consideration in the course of crystallography on «simple forms and their combinations».

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Tetrahedron, simple form, combinatorial geometric kind, combination of simple forms, symmetry point group

Короткий адрес: https://sciup.org/149145388

IDR: 149145388   |   DOI: 10.19110/geov.2024.4.4

Статья научная