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Architectural pattern book. A pattern book, or architectural pattern book, is a book of architectural designs, usually providing enough for non-architects to build structures that are copies or significant derivatives of major architect-designed works. A number of pattern books have been very influential in spreading architectural styles.
Dual. Order-8 triangular tiling. Properties. Vertex-transitive, edge-transitive, face-transitive. In geometry, the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around each vertex. It also has a construction as a truncated order-8 square tiling, t {4,8}.
Octagonal number. An octagonal number is a figurate number that gives the number of points in a certain octagonal arrangement. The octagonal number for n is given by the formula 3 n2 − 2 n, with n > 0. The first few octagonal numbers are. 1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833, 936 (sequence A000567 in the ...
Navajo weaving ( Navajo: diyogí) are textiles produced by Navajo people, who are based near the Four Corners area of the United States. Navajo textiles are highly regarded and have been sought after as trade items for more than 150 years. Commercial production of handwoven blankets and rugs has been an important element of the Navajo economy.
Octagon House in Watertown, Wisconsin, built 1853 David Van Gelder Octagon House in Catskill, New York, built 1860, photographed on January 13, 2008. This is a list of octagon houses. The style became popular in the United States and Canada following the publication of Orson Squire Fowler's 1848 book The Octagon House, A Home for All.
Thus, 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, tessellations, tiles and physical wallpaper .
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