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convex, Hanner polytope. In geometry, a 9-cube is a nine- dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces. It can be named by its Schläfli symbol {4,3 7}, being composed of three 8-cubes around ...
Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers. The goal is to either pack a single container as densely as possible or pack all objects using as few containers as possible. Many of these problems can be related to real-life packaging, storage and ...
3D model of cubicles. A cubicle is a partially enclosed office workspace that is separated from neighboring workspaces by partitions that are usually 5–6 feet (1.5–1.8 m) tall. Its purpose is to isolate office workers and managers from the sights and noises of an open workspace so that they may concentrate with fewer distractions.
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.
Uniform 9-polytope. In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets . A uniform 9-polytope is one which is vertex-transitive, and constructed from uniform 8-polytope facets .
Bender's serial number, 2716057, can be expressed as the sum of two cubes (952 3 + (-951 3)), which is humorous to Bender and Flexo after Flexo reveals that his serial number (3370318) has the same characteristic (119 3 + 119 3) (also, Bender’s designation 1729 is a taxicab number). [18]
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