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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.
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]
A child playing tag.. This is a list of games that are played by children.Traditional children's games do not include commercial products such as board games but do include games which require props such as hopscotch or marbles (toys go in List of toys unless the toys are used in multiple games or the single game played is named after the toy; thus "jump rope" is a game, while "Jacob's ladder ...
Various moves (creation of positions or figures) are combined to create patterns which are often accompanied by chants. Chinese jump rope combines the skills of hopscotch with some of the patterns from the hand-and-string game cat's cradle. The game began in 7th-century China. In the 1960s, children in the Western hemisphere adapted the game.
The herringbone pattern has a symmetry of wallpaper group pgg, as long as the blocks are not of different color (i.e., considering the borders alone). Herringbone patterns can be found in wallpaper, mosaics, seating, cloth and clothing (herringbone cloth), shoe tread, security printing, herringbone gears, jewellery, sculpture, and elsewhere.
A sliding puzzle, sliding block puzzle, or sliding tile puzzle is a combination puzzle that challenges a player to slide (frequently flat) pieces along certain routes (usually on a board) to establish a certain end-configuration. The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a ...
The pattern represented by every finite patch of tiles in a Penrose tiling occurs infinitely many times throughout the tiling. They are quasicrystals: implemented as a physical structure a Penrose tiling will produce diffraction patterns with Bragg peaks and five-fold symmetry, revealing the repeated patterns and fixed orientations of its tiles ...
Infinitely many different pentagons can form this pattern, belonging to two of the 15 families of convex pentagons that can tile the plane. Their tilings have varying symmetries; all are face-symmetric. One particular form of the tiling, dual to the snub square tiling, has tiles with the minimum possible perimeter among all pentagonal tilings ...