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  2. Quasicrystal - Wikipedia

    en.wikipedia.org/wiki/Quasicrystal

    The first type, polygonal (dihedral) quasicrystals, have an axis of 8-, 10-, or 12-fold local symmetry (octagonal, decagonal, or dodecagonal quasicrystals, respectively). They are periodic along this axis and quasiperiodic in planes normal to it. The second type, icosahedral quasicrystals, are aperiodic in all directions.

  3. Quasicrystals and Geometry - Wikipedia

    en.wikipedia.org/wiki/Quasicrystals_and_Geometry

    The book is divided into two parts. The first part covers the history of crystallography, the use of X-ray diffraction to study crystal structures through the Bragg peaks formed on their diffraction patterns, and the discovery in the early 1980s of quasicrystals, materials that form Bragg peaks in patterns with five-way symmetry, impossible for a repeating crystal structure.

  4. Category:Quasicrystals - Wikipedia

    en.wikipedia.org/wiki/Category:Quasicrystals

    Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Quasicrystals" The following 7 pages are in this category, out of 7 total.

  5. Quasi-crystals (supramolecular) - Wikipedia

    en.wikipedia.org/wiki/Quasi-crystals_(supra...

    Quasi-crystals are supramolecular aggregates exhibiting both crystalline (solid) properties as well as amorphous, liquid-like properties.. Self-organized structures termed "quasi-crystals" were originally described in 1978 by the Israeli scientist Valeri A. Krongauz of the Weizmann Institute of Science, in the Nature paper, Quasi-crystals from irradiated photochromic dyes in an applied ...

  6. List of quasiparticles - Wikipedia

    en.wikipedia.org/wiki/List_of_quasiparticles

    Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. This is a list of quasiparticles and collective excitations ...

  7. Dihedral group - Wikipedia

    en.wikipedia.org/wiki/Dihedral_group

    In mathematics, a dihedral group is the group of symmetries of a regular polygon, [1] [2] which includes rotations and reflections. Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory, geometry, and chemistry. [3] The notation for the dihedral group differs in geometry and abstract ...

  8. Crystallographic point group - Wikipedia

    en.wikipedia.org/wiki/Crystallographic_point_group

    D n (for dihedral, or two-sided) indicates that the group has an n-fold rotation axis plus n twofold axes perpendicular to that axis. D nh has, in addition, a mirror plane perpendicular to the n-fold axis. D nd has, in addition to the elements of D n, mirror planes parallel to the n-fold axis.

  9. Icosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Icosidodecahedron

    The dihedral angle of an icosidodecahedron between pentagon-to-triangle is ⁡ (+), determined by calculating the angle of a pentagonal rotunda. [ 4 ] An icosidodecahedron has icosahedral symmetry , and its first stellation is the compound of a dodecahedron and its dual icosahedron , with the vertices of the icosidodecahedron located at the ...