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The initial direction to expand each segment can be determined from a checkerboard coloring of a square tiling, expanding vertical segments into black tiles and out of white tiles, and expanding horizontal segments into white tiles and out of black ones. [3] As a space-filling curve, the dragon curve has fractal dimension exactly 2. For a ...
A Pythagorean tiling Street Musicians at the Door, Jacob Ochtervelt, 1665.As observed by Nelsen [1] the floor tiles in this painting are set in the Pythagorean tiling. A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.
Printed Tile Art. Tile art is a small arrangement of tiles, or in some cases a single tile, with a painted pattern or image on top. Tile art includes other forms of tile-based art, such as mosaics, micromosaics, and stained glass. [1] Unlike mosaics, tile art can include larger pieces of tiles that are pre-decorated.
Techniques include cutting, clipping, punching, tearing, and carving of paper, as well as nalepianki in which multiple layers are glued together. Subject matter includes peacocks , roosters , and other birds; circular or star-shaped medallions ( gwiazdy ); flowers; and annual holidays such as Easter and Christmas.
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A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic. [3] The tilings obtained from an aperiodic set of tiles are often called aperiodic tilings, though strictly speaking it is the tiles themselves that are ...
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