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The National Tile Contractors Association (NTCA) is a nonprofit trade association dedicated to the professional installation of ceramic tile and natural stone, established in 1947. [1] The NTCA aims to improve the industry through education and training, participation in the development of standards and methods.
A triskelion or triskeles is an ancient motif consisting either of a triple spiral exhibiting rotational symmetry or of other patterns in triplicate that emanate from a common center. The spiral design can be based on interlocking Archimedean spirals , or represent three bent human limbs.
A vectorized version of File:Celtic_spiral_tile_pattern.png: Author: User:Hyacinth, converted to SVG by Bartledan : Other versions: Original PNG image: Image:Celtic spiral tile pattern.png For other Celtic "key" patterns, see File:Celtic key Cross.svg and File:Celtic key Cross 2.svg
The smaller A-tile, denoted A S, is an obtuse Robinson triangle, while the larger A-tile, A L, is acute; in contrast, a smaller B-tile, denoted B S, is an acute Robinson triangle, while the larger B-tile, B L, is obtuse. Concretely, if A S has side lengths (1, 1, φ), then A L has side lengths (φ, φ, 1). B-tiles can be related to such A-tiles ...
Prehistoric spiral designs date back to Gavrinis (c. 3500 BCE). [1] Celtic spiral tile pattern found in many locations including The Book of Kells. The straight-line spirals of Celtic labyrinths originated in chevrons and lozenges and are drawn by the Celts using a connect the dots method. [1]
Note that all of the colored tiles are congruent. The Voderberg tiling is a mathematical spiral tiling , invented in 1936 by mathematician Heinz Voderberg [ de ] (1911–1945). [ 1 ] Karl August Reinhardt asked the question of whether there is a tile such that two copies can completely enclose a third copy.
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