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A portion of tiling by Ammann's aperiodic A5 set of tiles, decorated with finite, local matching rules which force infinite, global structure, that of Amman–Beenker tiling. In geometry , an Ammann–Beenker tiling is a nonperiodic tiling which can be generated either by an aperiodic set of prototiles as done by Robert Ammann in the 1970s, or ...
Consider Robinson's 1971 tiles: The Robinson Tiles. Any tiling by these tiles can only exhibit a hierarchy of square lattices: the centre of any orange square is also a corner of a larger orange square, ad infinitum. Any translation must be smaller than some size of square, and so cannot leave any such tiling invariant.
B-tiles can be related to such A-tiles in two ways: If B S has the same size as A L then B L is an enlarged version φ A S of A S, with side lengths (φ, φ, φ 2 = 1 + φ) – this decomposes into an A L tile and A S tile joined along a common side of length 1. If instead B L is identified with A S, then B S is a reduced version (1/ φ)A L of ...
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The pattern appears inlaid into the body of the tile, so that the design remains as the tile is worn down. Encaustic tiles may be glazed or unglazed and the inlay may be as shallow as 1 ⁄ 8 inch (3 mm), as is often the case with "printed" encaustic tile from the later medieval period, or as deep as 1 ⁄ 4 in (6.4 mm).
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Uranium tiles have been used in the ceramics industry for many centuries, as uranium oxide makes an excellent ceramic glaze, and is reasonably abundant. In addition to its medical usage, radium was used in the 1920s and 1930s for making watch, clock and aircraft dials.
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