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Following Grünbaum and Shephard (section 1.3), a tiling is said to be regular if the symmetry group of the tiling acts transitively on the flags of the tiling, where a flag is a triple consisting of a mutually incident vertex, edge and tile of the tiling. This means that, for every pair of flags, there is a symmetry operation mapping the first ...
Decorative tilework or tile art should be distinguished from mosaic, where forms are made of great numbers of tiny irregularly positioned tesserae, each of a single color, usually of glass or sometimes ceramic or stone. There are various tile patterns, such as herringbone, staggered, offset, grid, stacked, pinwheel, parquet de Versailles ...
Quarry tile is a building material, usually 1 ⁄ 2 to 3 ⁄ 4 inch (13 to 19 mm) thick, made by either the extrusion process or more commonly by press forming and firing natural clay or shales. [ 1 ] [ 2 ] Quarry tile is manufactured from clay in a manner similar to bricks . [ 3 ]
These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a tiling of the plane using only these shapes. That is, each tile in the tiling must be congruent to one of these prototiles. [4] A tiling that has no periods is non-periodic.
Saltillo tile flooring can be found in many shapes and sizes. [5] Tiles are shaped either by pressing quarried clay with a wooden frame [6] (super), or carving out the desired shape (regular). Depending on the raw tile's placement among other tiles at the time of firing, its color ranges from yellow to a rich orange. [7]
These are the cheapest range of bought materials and can be glazed or unglazed. The glazed ceramic tiles have the color painted onto the top of the clay and then fired to a high temperature in a kiln. The unglazed or body glazed version has the color mixed into the wet clay so the color runs through them. They vary in size. [2]