7-cube

{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|7-cubeHepteract |- |bgcolor=#ffffff align=center colspan=2|280pxOrthogonal projectioninside Petrie polygonThe central orange vertex is doubled |- |bgcolor=#e7dcc3|Type||Regular 7-polytope |- |bgcolor=#e7dcc3|Family||hypercube |- |bgcolor=#e7dcc3|Schläfli symbol|| {4,35} |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagrams||

|- |bgcolor=#e7dcc3|6-faces||14 {4,34} 25px |- |bgcolor=#e7dcc3|5-faces||84 {4,33} 25px |- |bgcolor=#e7dcc3|4-faces||280 {4,3,3} 25px |- |bgcolor=#e7dcc3|Cells||560 {4,3} 25px |- |bgcolor=#e7dcc3|Faces||672 {4} 25px |- |bgcolor=#e7dcc3|Edges||448 |- |bgcolor=#e7dcc3|Vertices||128 |- |bgcolor=#e7dcc3|Vertex figure||6-simplex 25px |- |bgcolor=#e7dcc3|Petrie polygon||tetradecagon |- |bgcolor=#e7dcc3|Coxeter group||C7, [35,4] |- |bgcolor=#e7dcc3|Dual||7-orthoplex |- |bgcolor=#e7dcc3|Properties||convex, Hanner polytope |}