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The tiles in the square tiling have only one shape, and it is common for other tilings to have only a finite number of shapes. These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a tiling of the plane using only these shapes.
A tiling T is a set of prototile placements whose regions have pairwise disjoint interiors. We say that the tiling T is a tiling of W where W is the union of the regions of the placements in T. A tile substitution is often loosely defined in the literature. A precise definition is as follows. [3]
Glass was used in mosaics as early as 2500 BC, but it was not until the 3rd century BC that innovative artisans in Greece, Persia, and India created glass tiles.. Whereas clay tile is dated as early as 8,000 BC, there were significant barriers to the development of glass tile, including the high temperatures required to melt glass and the complexities of annealing glass curves.
Packaging is the science, art and technology of enclosing or protecting products for distribution, storage, sale, and use. Packaging also refers to the process of designing, evaluating, and producing packages. Packaging can be described as a coordinated system of preparing goods for transport, warehousing, logistics, sale, and end use ...
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Morris Benjamin Wilkins (March 21, 1925 – May 25, 2015) was the inventor of the heart-shaped bathtub and the champagne glass bathtub. He is credited for helping establish the Pocono Mountains in northeast Pennsylvania as the "honeymoon capital of the world."