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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. Many proofs of the Pythagorean theorem are based on it, [2] explaining its name. [1] It is commonly used as a pattern for floor tiles.
Hopscotch is a popular playground game in which players toss a small object, called a lagger, [ 1][ 2] into numbered triangles or a pattern of rectangles outlined on the ground and then hop or jump through the spaces and retrieve the object. [ 3] It is a children's game that can be played with several players or alone. [ 4]
Throw a small stone, twig, beanbag, or another marker into the first square. (If it lands on a line, or outside the square, you lose your turn. Pass the marker to the following player and wait for ...
February 4, 1985 [2] The Moravian Pottery & Tile Works (MPTW) is a history museum which is located in Doylestown, Pennsylvania. It is owned by the County of Bucks, and operated by TileWorks of Bucks County, a 501c3 non-profit organization. The museum was individually listed on the National Register of Historic Places in 1972, [1] and was later ...
An aperiodic tiling using a single shape and its reflection, discovered by David Smith. An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non- periodic tilings.
Kershner (1968) found three more types of pentagonal tile, bringing the total to eight. He claimed incorrectly that this was the complete list of pentagons that can tile the plane. These examples are 2-isohedral and edge-to-edge. Types 7 and 8 have chiral pairs of tiles, which are colored as pairs in yellow-green and the other as two shades of ...
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