A quasiperiodic tiling is a tiling of the plane that exhibits local periodicity under some transformations: every finite subset of its tiles reappears infinitely often throughout the tiling, but there is no nontrivial way of superimposing the whole tiling onto itself so that all tiles overlap perfectly.
See
Aperiodic tiling and Penrose tiling for a mathematical viewpoint.
Quasicrystal for a physics viewpoint.
Index of articles associated with the same name
This article includes a list of related items that share the same name (or similar names). If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article.
and 16 Related for: Quasiperiodic tiling information
A quasiperiodictiling is a tiling of the plane that exhibits local periodicity under some transformations: every finite subset of its tiles reappears...
t ) {\displaystyle x(t)\ } is not quasiperiodic. Quasiperiodic function Aperiodic function Quasiperiodictiling Fourier series Additive synthesis Harmonic...
aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types...
the tiles). A tiling is considered periodic if there exist translations in two independent directions which map the tiling onto itself. Such a tiling is...
materials for K-12 Secondary school activities using pattern blocks A QuasiperiodicTiling With 12-Fold Rotational Symmetry and Inflation Factor 1 + Sqrt(3)...
crystallographic Fourier transform of a Penrose tiling, the possibility of identifying quasiperiodic order in a material through diffraction. Quasicrystals...
Socolar tiling is an example of an aperiodic tiling, developed in 1989 by Joshua Socolar in the exploration of quasicrystals. There are 3 tiles a 30° rhombus...
can be used as the prototiles for a form of the Penrose tiling. The rhombic Penrose tiling contains two types of rhombus, a thin rhombus with angles...
this way are based on tessellations, tiling the plane with a unit cell and leaving no gaps. Because the tiling makes use of translation and rotation...
tiling. This tiling is one of eight Archimedean tilings that are semi-regular, or made of more than one type of regular polygon, and the only tiling that...
1997 Lifshitz extends the theory of color symmetry from periodic to quasiperiodic crystals. 2008 Conway, Burgiel and Goodman-Strauss publish The Symmetries...
tiling decorated with atoms, obtaining a pattern with sharp spots and five-fold symmetry. This brought the possibility of identifying quasiperiodic order...
discovered a quasicrystalline Islamic tiling on the Darb-e Imam Shrine (1453 A.D.) in Isfahan, Iran constructed from girih tiles. In 2007, they deciphered the...
idea, motivated by their study of Penrose tilings, was to consider atomic arrangements that are quasiperiodic rather than periodic. They introduced the...
Ovsienko, Valentin; Schwartz, Richard Evan; Tabachnikov, Serge (2009). "Quasiperiodic Motion for the Pentagram Map". Electronic Research Announcements in...
Global Information