24 relations: Centrosymmetry, Chirality (chemistry), Coxeter notation, Crystal, Crystal structure, Crystal system, Crystallographic point group, Crystallography, Euclidean vector, Gypsum, Halotrichite, Hermann–Mauguin notation, Hilgardite, Orbifold, Orbifold notation, Orthorhombic crystal system, Parallelogram, Pearson symbol, Polar point group, Prism (geometry), Rhombus, Schoenflies notation, Space group, Springer Science+Business Media.
In crystallography, a point group which contains an inversion center as one of its symmetry elements is centrosymmetric.
Chirality is a geometric property of some molecules and ions.
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.
A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.
In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions or molecules in a crystalline material.
In crystallography, the terms crystal system, crystal family and lattice system each refer to one of several classes of space groups, lattices, point groups or crystals.
In crystallography, a crystallographic point group is a set of symmetry operations, like rotations or reflections, that leave a central point fixed while moving other directions and faces of the crystal to the positions of features of the same kind.
Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids (see crystal structure).
In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.
Gypsum is a soft sulfate mineral composed of calcium sulfate dihydrate, with the chemical formula CaSO4·2H2O.
Halotrichite, also known as feather alum, is a highly hydrated sulfate of aluminium and iron.
In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups.
Hilgardite is a borate mineral with the chemical formula Ca2B5O9Cl·H2O.
In the mathematical disciplines of topology, geometry, and geometric group theory, an orbifold (for "orbit-manifold") is a generalization of a manifold.
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.
In crystallography, the orthorhombic crystal system is one of the 7 crystal systems.
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
The Pearson symbol, or Pearson notation, is used in crystallography as a means of describing a crystal structure, and was originated by W.B. Pearson.
In geometry, a polar point group is a point group in which there is more than one point that every symmetry operation leaves unmoved.
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length.
The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions commonly used to describe point groups.
In mathematics, physics and chemistry, a space group is the symmetry group of a configuration in space, usually in three dimensions.
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