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In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p q r), defined by internal angles as π/p, π/q, and π/r.
The complete lists of k-uniform tilings have been enumerated up to k=6. There are 20 2-uniform tilings, 61 3-uniform tilings, 151 4-uniform tilings, 332 5-uniform tilings, and 673 6-uniform tilings. This article lists all solutions up to k=5. This square tiling is isogonal and isohedral, but not uniform because it is not edge-to-edge.
If there are k orbits of vertices, a tiling is known as k-uniform or k-isogonal; if there are t orbits of tiles, as t-isohedral; if there are e orbits of edges, as e-isotoxal. k-uniform tilings with the same vertex figures can be further identified by their wallpaper group symmetry.
Bullnose trim is used to provide a smooth, rounded edge for countertops, staircase steps, building corners, verandas, or other construction.Masonry units such as bricks, concrete masonry units or structural glazed facing tiles may be ordered from manufacturers with square or bullnosed corners.
Dutch gable, gablet: A hybrid of hipped and gable with the gable (wall) at the top and hipped lower down; i.e. the opposite arrangement to the half-hipped roof. Overhanging eaves forming shelter around the building are a consequence where the gable wall is in line with the other walls of the buildings; i.e., unless the upper gable is recessed.
For slate this will be at 25%, for machine made tiles it will be 35%. Water falls towards a parapet gutter, a valley gutter or an eaves gutter. [12] When two pitched roofs meet at an angle, they also form a pitched valley gutter: the join is sealed with valley flashing. Parapet gutters and valley gutters discharge into internal rainwater pipes ...
Clay roof tiles are the main form of historic ceramic tilework in China, due largely to the emphasis that traditional Chinese architecture places on a roof as opposed to a wall. [26] Roof tile fragments have been found in the Loess Plateau dating to the Longshan period, showing some of the earliest pan and cover designs found in Asia. [7]
The smaller A-tile, denoted A S, is an obtuse Robinson triangle, while the larger A-tile, A L, is acute; in contrast, a smaller B-tile, denoted B S, is an acute Robinson triangle, while the larger B-tile, B L, is obtuse. Concretely, if A S has side lengths (1, 1, φ), then A L has side lengths (φ, φ, 1). B-tiles can be related to such A-tiles ...
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