Similarities between Icosahedral symmetry and Space group
Icosahedral symmetry and Space group have 8 things in common (in Unionpedia): Chirality (mathematics), Coxeter group, Coxeter notation, Hermann–Mauguin notation, Orbifold notation, Quotient group, Schoenflies notation, Symmetry group.
Chirality (mathematics)
In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.
Chirality (mathematics) and Icosahedral symmetry · Chirality (mathematics) and Space group ·
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
Coxeter group and Icosahedral symmetry · Coxeter group and Space group ·
Coxeter notation
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.
Coxeter notation and Icosahedral symmetry · Coxeter notation and Space group ·
Hermann–Mauguin notation
In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups.
Hermann–Mauguin notation and Icosahedral symmetry · Hermann–Mauguin notation and Space group ·
Orbifold notation
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.
Icosahedral symmetry and Orbifold notation · Orbifold notation and Space group ·
Quotient group
A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves the group structure.
Icosahedral symmetry and Quotient group · Quotient group and Space group ·
Schoenflies notation
The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions commonly used to describe point groups.
Icosahedral symmetry and Schoenflies notation · Schoenflies notation and Space group ·
Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
Icosahedral symmetry and Symmetry group · Space group and Symmetry group ·
The list above answers the following questions
- What Icosahedral symmetry and Space group have in common
- What are the similarities between Icosahedral symmetry and Space group
Icosahedral symmetry and Space group Comparison
Icosahedral symmetry has 96 relations, while Space group has 65. As they have in common 8, the Jaccard index is 4.97% = 8 / (96 + 65).
References
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