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9-cube Enneract Orthogonal projection inside Petrie polygon Orange vertices are doubled, yellow have 4, and the green center has 8 Type: Regular 9-polytope: Family: hypercube: Schläfli symbol {4,3 7} Coxeter-Dynkin diagram: 8-faces: 18 {4,3 6} 7-faces: 144 {4,3 5} 6-faces: 672 {4,3 4} 5-faces: 2016 {4,3 3} 4-faces: 4032 : Cells: 5376 : Faces ...
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.
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. Vertices of the ...
Regular 9-polytopes. Regular 9-polytopes can be represented by the Schläfli symbol {p,q,r,s,t,u,v,w}, with w {p,q,r,s,t,u,v} 8-polytope facets around each peak. There are exactly three such convex regular 9-polytopes: {3,3,3,3,3,3,3,3} - 9-simplex {4,3,3,3,3,3,3,3} - 9-cube {3,3,3,3,3,3,3,4} - 9-orthoplex; There are no nonconvex regular 9 ...
6-orthoplex • 6-cube: 6-demicube: 1 22 • 2 21: Uniform 7-polytope: 7-simplex: 7-orthoplex • 7-cube: 7-demicube: 1 32 • 2 31 • 3 21: Uniform 8-polytope: 8-simplex: 8-orthoplex • 8-cube: 8-demicube: 1 42 • 2 41 • 4 21: Uniform 9-polytope: 9-simplex: 9-orthoplex • 9-cube: 9-demicube: Uniform 10-polytope: 10-simplex: 10-orthoplex ...
Polycube. All 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in total. A puzzle involving arranging nine L tricubes into a 3×3×3 cube. A polycube is a solid figure formed by joining one or more equal cubes face to face.
The Nine-Colour Cube ( see below for other names) is a cubic twisty puzzle. [1] It was invented in 2005 by Milan Vodicka [2] and mass-produced by Meffert's seven years later. [3] [4] Mechanically, the puzzle is identical to the Rubik's Cube; however, unlike the 3×3×3 Rubik's Cube, which only has 6 different colours, the Nine-Colour Cube has 9 ...
6-orthoplex • 6-cube: 6-demicube: 1 22 • 2 21: Uniform 7-polytope: 7-simplex: 7-orthoplex • 7-cube: 7-demicube: 1 32 • 2 31 • 3 21: Uniform 8-polytope: 8-simplex: 8-orthoplex • 8-cube: 8-demicube: 1 42 • 2 41 • 4 21: Uniform 9-polytope: 9-simplex: 9-orthoplex • 9-cube: 9-demicube: Uniform 10-polytope: 10-simplex: 10-orthoplex ...