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Rectified 9-cubes. In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube . There are 9 rectifications of the 9-cube. The zeroth is the 9-cube itself, and the 8th is the dual 9-orthoplex. Vertices of the rectified 9-cube are located at the edge-centers of the 9-orthoplex.
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In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes . E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM 9 for a 9-dimensional half measure polytope.
Lou Henry Hoover (March 29, 1874 – January 7, 1944) was the first lady of the United States from 1929 to 1933 as the wife of President Herbert Hoover. She was active in community groups, including the Girl Scouts of the USA, which she led from 1922 to 1925 and from 1935 to 1937. She was the first woman to earn a geology degree from Stanford.
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