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Consider a periodic tiling by unit squares (it looks like infinite graph paper). Now cut one square into two rectangles. The tiling obtained in this way is non-periodic: there is no non-zero shift that leaves this tiling fixed. But clearly this example is much less interesting than the Penrose tiling.
A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art, especially in textiles, tiles, and wallpaper.
Federation Square's sandstone façade. Federation Square, a building complex in Melbourne, Australia, features the pinwheel tiling.In the project, the tiling pattern is used to create the structural sub-framing for the facades, allowing for the facades to be fabricated off-site, in a factory and later erected to form the facades.
Crochet is traditionally worked from a written pattern using standard abbreviations or from a diagram, thus enabling non-English speakers to use English-based patterns. [34] To help counter confusion when reading patterns, a diagramming system using a standard international notation has come into use (illustration, left).
The first Penrose tiling (tiling P1 below) is an aperiodic set of six prototiles, introduced by Roger Penrose in a 1974 paper, [16] based on pentagons rather than squares. Any attempt to tile the plane with regular pentagons necessarily leaves gaps, but Johannes Kepler showed, in his 1619 work Harmonices Mundi , that these gaps can be filled ...
The design for example is typical of a japanese origami folding technique for a pinwheel. [citation needed] During the nineteenth century in the United States, any wind-driven toy held aloft by a running child was characterized as a whirligig, including pinwheels. Pinwheels provided many children with numerous minutes of enjoyment and amusement ...
The familiar granny square is a special form of square motif. Although there are many variations on the granny square, the traditional one is a double-crocheted square made with a series of chains and double-crocheted blocks—a kind of filet crochet in the round. [6] Any granny square begins with a small loop of chain stitches. Basic granny ...
Pinwheel (toy), a spinning children's toy; Pinwheel (cryptography), a device for producing a short pseudo-random sequence of bits; Pinwheel (shogi), an opening in the game shogi or Japanese chess; Pinwheel (TV channel), a channel which would later turn into Nickelodeon; Pinwheel, a children's show on Nickelodeon that ran from 1977 to 1984
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