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Ceramic tile trims and profiles are specialized edging or transitional pieces that are used in conjunction with ceramic tiles. They serve several purposes: Edge protection: Profiles protect the edges of tiles from chipping and wear. Transition: They provide a smooth transition between different surface materials or tile heights.
Bullnose trim is used to provide a smooth, rounded edge for countertops, staircase steps, building corners, verandas, or other construction.Masonry units such as bricks, concrete masonry units or structural glazed facing tiles may be ordered from manufacturers with square or bullnosed corners.
Such tilings can be considered edge-to-edge as nonregular polygons with adjacent colinear edges. There are seven families of isogonal figures, each family having a real-valued parameter determining the overlap between sides of adjacent tiles or the ratio between the edge lengths of different tiles. Two of the families are generated from shifted ...
In the other, tiles must be assembled such that the bumps on their edges fit together. [ 9 ] There are 54 cyclically ordered combinations of such angles that add up to 360 degrees at a vertex, but the rules of the tiling allow only seven of these combinations to appear (although one of these arises in two ways).
There are also 2-isohedral tilings by special cases of type 1, type 2, and type 4 tiles, and 3-isohedral tilings, all edge-to-edge, by special cases of type 1 tiles. There is no upper bound on k for k-isohedral tilings by certain tiles that are both type 1 and type 2, and hence neither on the number of tiles in a primitive unit.
In 1963 the German mathematician Heinrich Heesch described the five types of tiles that satisfy the criterion. He shows each type with notation that identifies the edges of a tile as one travels around the boundary: CCC, CCCC, TCTC, TCTCC, TCCTCC, where C means a centrosymmetric edge, and T means a translated edge. [5]