6-faces 14 {4,34} 5-faces 84 {4,33} 4-faces 280 {4,3,3} Cells 560 {4,3} Faces 672 {4} Edges 448 Vertices 128
Properties convex In geometry , a 7-CUBE is a seven-dimensional hypercube with 128 vertices , 448 edges , 672 square faces , 560 cubic cells , 280 tesseract 4-faces , 84 penteract 5-faces , and 14 hexeract 6-faces . It can be named by its
CONTENTS * 1 Related polytopes
* 2
RELATED POLYTOPES It is a part of an infinite family of polytopes, called hypercubes .
The dual of a
Applying an alternation operation, deleting alternating vertices of
the hepteract, creates another uniform polytope , called a
demihepteract , (part of an infinite family called demihypercubes ),
which has 14 demihexeractic and 64
CARTESIAN COORDINATES
while the interior of the same consists of all points (x0, x1, x2, x3, x4, x5, x6) with -1 < xi < 1. IMAGES orthographic projections COXETER PLANE B7 / A6 B6 / D7 B5 / D6 / A4 GRAPH DIHEDRAL SYMMETRY COXETER PLANE B4 / D5 B3 / D4 / A2 B2 / D3 GRAPH DIHEDRAL SYMMETRY COXETER PLANE A5 A3 GRAPH DIHEDRAL SYMMETRY PROJECTIONS This hypercube graph is an orthogonal projection . This orientation shows columns of vertices positioned a vertex-edge-vertex distance from one vertex on the left to one vertex on the right, and edges attaching adjacent columns of vertices. The number of vertices in each column represents rows in Pascal\'s triangle , being 1:7:21:35:35:21:7:1. Petri |