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Filler A non-plastic material used in clay bodies to attenuate drying shrinkage. Finely milled quartz is a common filler. Filter press A piece of equipment used to separate liquid and solid from an aqueous suspension: a slurry, or slip, is pumped into the filter press and is dewatered via semi-permeable cloths whilst under fluid pressure.
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 ...
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.
Tiles were glazed in a single colour, cut into geometric shapes, and assembled to form geometric patterns. Many examples can be admired in the Alhambra of Granada . [ 9 ] This tradition was continued for a time in Mudéjar architecture in Spain (e.g. in the 14th-century sections of the Alcázar of Seville ), [ 10 ] and has been perpetuated to ...
For many uses the tougher encaustic tile was used. Wall tiles in various styles also revived; the rise of the bathroom contributing greatly to this, as well as greater appreciation of the benefit of hygiene in kitchens. William De Morgan was the leading English designer working in tiles, strongly influenced by Islamic designs.
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 ...
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