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A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular ...
The square academic cap, graduate cap, cap, mortarboard[ 1] (because of its similarity in appearance to the mortarboard used by brickmasons to hold mortar [ 2]) or Oxford cap[ 3] is an item of academic dress consisting of a horizontal square board fixed upon a skull-cap, with a tassel attached to the centre. In the UK and the US, it is commonly ...
The oldest known octagon-shaped building [citation needed] is the Tower of the Winds in Athens, Greece, which was constructed circa 300 B.C. Octagon houses were popularized in the United States in the mid-19th century and there are too many to list here, see instead List of octagon houses. There are also octagonal houses built in other times ...
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.
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 ...
The quilts of Gee's Bend are quilts created by a group of women and their ancestors who live or have lived in the isolated African-American hamlet of Gee's Bend, Alabama along the Alabama River. The quilting tradition can be dated back to the nineteenth century and endures to this day. The residents of Gee’s Bend, Alabama, are direct ...
For the past three years, President Biden’s biggest political liabilities have been painfully obvious: his age and inflation. One those problems has more or less evaporated — inflation has ...
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