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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 ...
This image is a derivative work of the following images: File:Hopscotch1900F294.png licensed with PD-US . 2008-07-18T04:14:05Z ScotchHopper 241x473 (6790 Bytes) {{Information |Description={{en|1=Hopscotch court; P. 357: Fig 294.—A Typical American Court with Ten Subdivisions.}} |Source=''The Outdoor Handy Book: For the Playground, Field, and Forest''.
A few of the infinitely many such patterns in the hyperbolic plane are also listed. (Increasing any of the numbers defining a hyperbolic or Euclidean tiling makes another hyperbolic tiling.) Point groups: (p 2 2) dihedral symmetry, =,, … (order )
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.
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 ...
This image is a derivative work of the following images: File:Hopscotch1900F291.png licensed with PD-US . 2008-07-18T04:08:10Z ScotchHopper 225x464 (6695 Bytes) {{Information |Description={{en|1=Hopscotch court; P. 356: Fig 291.—An English Court with Eleven Subdivisions and a Plum Pudding.}} |Source=''The Outdoor Handy Book: For the Playground, Field, and Forest''.