Tilings (The Geometry Junkyard)
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|David Eppstein, Theory Group, ICS, UC Irvine|
|An extensive annotated list of links to material on tilings. One way to define a tiling is a partition of an infinite space (usually Euclidean) into pieces having a finite number of distinct shapes. Tilings can be divided into two types, periodic and aperiodic, depending on whether they have any translational symmetries. If these symmetries exist, they form a lattice. There has been much recent research on aperiodic tilings (which lack such symmetries) and their possible realization in certain crystal structures. Tilings also have connections to much of pure mathematics including operator K-theory, dynamical systems, and non-commutative geometry.|
|Levels:||High School (9-12), College, Research|
|Resource Types:||Link Listings|
|Math Topics:||Transformational Geometry, Symmetry/Tessellations|
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