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They have many common features: in each case, the tiles are constructed from shapes related to the pentagon (and hence to the golden ratio), but the basic tile shapes need to be supplemented by matching rules in order to tile aperiodically. These rules may be described using labeled vertices or edges, or patterns on the tile faces ...
For traditional/historic applications, tiles were generally laid in lime mortar, doubling as grout, and with very fine grout joints (sometimes butted without joints, similarly to mosaic tiles). Due to the typically square shape, quarry tiles were historically, and still today, restricted to either square or diamond patterns.
The overall effect has been noted for its "lightness": "the Villa Planchard sits so lightly on the hillside above Caracas that it is known as the 'butterfly house.'" [21] A few miles away, Ponti designed for Blanca Arreaza, the Diamantina (1954–1956), so-called because of the diamond-shaped tiles that partially cover its facade. This villa ...
Greatmats Garage Floor Tile Diamond is one form of modular polypropylene flooring tiles intended for garages and other automotive areas. Unlike ceramic and stone tiles, which are made of minerals, resilient flooring is made of materials that have some elasticity, giving the flooring a degree of flexibility called resilience.
These are commonly made of ceramic or stone, although recent technological advances have resulted in rubber or glass tiles for floors as well. Ceramic tiles may be painted and glazed. Small mosaic tiles may be laid in various patterns. Floor tiles are typically set into mortar consisting of sand, Portland cement and often a latex additive.
The artist M. C. Escher is famous for making tessellations with irregular interlocking tiles, shaped like animals and other natural objects. [16] If suitable contrasting colours are chosen for the tiles of differing shape, striking patterns are formed, and these can be used to decorate physical surfaces such as church floors. [17]
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