A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available...

known as quasicrystals, which were thought to exist only as man-made materials until he co-discovered the first known natural quasicrystal in a museum...

A crystal is a solid where the atoms form a periodic arrangement. (Quasicrystals are an exception, see below). Not all solids are crystals. For example...

was awarded the 2011 Nobel Prize in Chemistry for the discovery of quasicrystals, making him one of six Israelis who have won the Nobel Prize in Chemistry...

A holmium–magnesium–zinc (Ho–Mg–Zn) quasicrystal is a quasicrystal made of an alloy of the three metals holmium, magnesium and zinc that has the shape...

found to contain a previously undiscovered complex quasicrystal, the oldest known manmade quasicrystal, with a symmetry group in the shape of an icosahedron...

Quasicrystals and Geometry is a book on quasicrystals and aperiodic tiling by Marjorie Senechal, published in 1995 by Cambridge University Press (ISBN 0-521-37259-3)...

icosahedrite, the first known naturally occurring quasicrystal—aperiodic and yet ordered in structure. The quasicrystal has a composition of Al63Cu24Fe13 which...

with aperiodic order such as quasicrystals, and in this context the Fibonacci word is also called the Fibonacci quasicrystal. Crystal growth techniques...

tiling occurs infinitely many times throughout the tiling. They are quasicrystals: implemented as a physical structure a Penrose tiling will produce diffraction...

In chemistry, crystallography, and materials science, the coordination number, also called ligancy, of a central atom in a molecule or crystal is the number...

stronger constraints. Aperiodic tilings serve as mathematical models for quasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently...

Icosahedrite is the first known naturally occurring quasicrystal phase. It has the composition Al63Cu24Fe13 and is a mineral approved by the International...

pattern known as a quasicrystal. This construction corresponds precisely to the standard "cut-and-project" method of defining a quasicrystal, using a plane...

regular dodecahedron can occur as a shape for quasicrystals (such as holmium–magnesium–zinc quasicrystal) with icosahedral symmetry, which includes true...

perfectly. Aperiodic tiling and Penrose tiling for a mathematical viewpoint. Quasicrystal for a physics viewpoint. Willes, Andrew (9 December 2009). "Quasiperiodic...

systems. The phason can also be seen as a degree of freedom unique to quasicrystals. Similar to phonons, phasons are quasiparticles associated with atomic...

stars, also echinoderms with a pentagonal shape. A Ho-Mg-Zn icosahedral quasicrystal formed as a pentagonal dodecahedron. The faces are true regular pentagons...

mathematics of crystal geometry, including those that are not periodic or quasicrystals. At the atomic scale it can involve the use of X-ray diffraction to...

structures, and aluminium forms an important part of many icosahedral quasicrystal alloys, including the Al–Zn–Mg class. Aluminium has a high chemical affinity...

into the Koryak Mountains to search for naturally occurring quasicrystals. Three quasicrystals have been found to date from the material gathered on that...

lead atoms on the surface of an icosahedral silver-indium-ytterbium quasicrystal. Its conductivity was not recorded. Diamond cubic structures with lattice...

time, hundreds of quasicrystals have been reported and confirmed. They exist in many metallic alloys (and some polymers). Quasicrystals are found most often...

solid in which atoms, molecules, or ions are packed in regular order. Quasicrystal: A solid in which the positions of the atoms have long-range order, but...

its unique natural icosahedral symmetry, it is a quasicrystal. Unlike a true crystal, quasicrystals are ordered but not periodic. A rock is an aggregate...

In 1984, such patterns were observed in the arrangement of atoms in quasicrystals. Another noteworthy contribution is his 1971 invention of spin networks...

several significant and groundbreaking contributions to the theory of quasicrystals and aperiodic tilings. Ammann attended Brandeis University, but generally...

the Mathematics of Quasicrystals. Academic Press. p. x. ISBN 9780120406029. Although at the time of the discovery of quasicrystals the theory of quasiperiodic...

There are in nature one, two, and three-dimensional quasicrystals. Mathematicians define a quasicrystal as a set of discrete points whose Fourier transform...

Tilings". In Jarić, Marko (ed.). Introduction to the Mathematics of Quasicrystals. Academic Press. p. 12. Calter, Paul; Calter, Michael (2011). Technical...