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The Info List - 7-cube


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(i) (i) (i) (i) (i)

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

Vertex figure
Vertex figure
6-simplex

Petrie polygon tetradecagon

Coxeter group
Coxeter group
C7,

Dual 7-orthoplex

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 Schläfli symbol {4,35}, being composed of 3 6-cubes around each 5-face. It can be called a HEPTERACT, a portmanteau of tesseract (the 4-cube) and hepta for seven (dimensions) in Greek . It can also be called a regular TETRADECA-7-TOPE or TETRADECAEXON, being a 7 dimensional polytope constructed from 14 regular facets .

CONTENTS

* 1 Related polytopes * 2 As a configuration * 3 Cartesian coordinates
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