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As decorative elements the contrast of dark and light areas gives definition to the object. If a vertical wall is lit at an angle of about 45 degrees above the wall (for example, by the sun) then adding a small overhanging horizontal moulding, called a fillet moulding, will introduce a dark horizontal shadow below it.
Some of the most decorative were the Moorish wall tilings of Islamic architecture, using Girih and Zellige tiles in buildings such as the Alhambra [68] and La Mezquita. [ 69 ] Tessellations frequently appeared in the graphic art of M. C. Escher ; he was inspired by the Moorish use of symmetry in places such as the Alhambra when he visited Spain ...
In abstract algebra, a cover is one instance of some mathematical structure mapping onto another instance, such as a group (trivially) covering a subgroup. This should not be confused with the concept of a cover in topology. When some object X is said to cover another object Y, the cover is given by some surjective and structure-preserving map ...
12x12 may refer to: 12×12=144, a common times tables size in the English-speaking world; Twelve wheel drive (12x12), a vehicle configuration with 12 wheels, all of them drive wheels; Twelve Steps and Twelve Traditions a book published by Alcoholics Anonymous World Services; 12"x12 New Order Vinyl Campaign, a series of 12 12-inch single ...
William Thurston () describes a test for determining whether a simply-connected region, formed as the union of unit squares in the plane, has a domino tiling.He forms an undirected graph that has as its vertices the points (x,y,z) in the three-dimensional integer lattice, where each such point is connected to four neighbors: if x + y is even, then (x,y,z) is connected to (x + 1,y,z + 1), (x ...
Floor function: if x is a real number, ⌊ ⌋ is the greatest integer that is not greater than x. ⌈ ⌉ Ceiling function: if x is a real number, ⌈ ⌉ is the lowest integer that is not lesser than x. ⌊ ⌉