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A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular ...
Penrose tiling. A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does not contain arbitrarily large periodic regions or patches. However, despite their lack of translational symmetry, Penrose tilings may have both ...
The staggered truss system for steel framing is an efficient structural system for high-rise apartments, hotels, motels, dormitories, and hospitals. The arrangement of story-high trusses in a staggered pattern at alternate column lines provide large column-free areas for room layouts. [2] These column free areas can be utilized for ballrooms ...
Hexagonal tiling. In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling). English mathematician John Conway called it a hextille .
Euclidean tilings by convex regular polygons. A regular tiling has one type of regular face. A semiregular or uniform tiling has one type of vertex, but two or more types of faces. A k -uniform tiling has k types of vertices, and two or more types of regular faces. A non-edge-to-edge tiling can have different-sized regular faces.
Azulejo. Panel of the Battle of Aljubarrota by Portuguese artist Jorge Colaço, 1922. Azulejo ( Portuguese: [ɐzuˈleʒu, ɐzuˈlɐ (i̯)ʒu] Spanish: [aθuˈlexo]; from the Arabic al- zillīj, الزليج) [ 1][ 2] is a form of Portuguese and Spanish painted tin-glazed ceramic tilework.
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