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The first tiled web maps used raster tiles, before the emergence of vector tiles. There are several advantages to tiled maps. Each time the user pans, most of the tiles are still relevant, and can be kept displayed, while new tiles are fetched. This greatly improves the user experience, compared to fetching a single map image for the whole ...
From a Wythoff construction there are ten hyperbolic uniform tilings that can be based from the regular octagonal and order-8 triangular tilings.. Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 10 forms.
Formulas for the Web Mercator are fundamentally the same as for the standard spherical Mercator, but before applying zoom, the "world coordinates" are adjusted such that the upper left corner is (0, 0) and the lower right corner is ( , ): [7] = ⌊ (+) ⌋ = ⌊ ( [ (+)]) ⌋ where is the longitude in radians and is geodetic latitude in radians.
Tiles are often used to form wall and floor coverings, and can range from simple square tiles to complex or mosaics. Tiles are most often made of ceramic, typically glazed for internal uses and unglazed for roofing, but other materials are also commonly used, such as glass, cork, concrete and other composite materials, and stone. Tiling stone ...
The Penrose tiles, and shortly thereafter Amman's several different sets of tiles, [21] were the first example based on explicitly forcing a substitution tiling structure to emerge. Joshua Socolar , [ 22 ] [ 23 ] Roger Penrose , [ 24 ] Ludwig Danzer , [ 25 ] and Chaim Goodman-Strauss [ 20 ] have found several subsequent sets.
One of the worst ways to start the new year is with holiday debt and a looming tax bill. However, whether it's adjusting contributions or planning deductions, small, year-end actions can lead to...
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