7-polytopes

{| 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||

{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|Regular octaexon(7-simplex) |- |bgcolor=#ffffff align=center colspan=2|280pxOrthogonal projectioninside Petrie polygon |- |bgcolor=#e7dcc3|Type||Regular 7-polytope |- |bgcolor=#e7dcc3|Family||simplex |- |bgcolor=#e7dcc3|Schläfli symbol|| {3,3,3,3,3,3} |- |bgcolor=#e7dcc3|Coxeter-Dynkindiagram|| |- |bgcolor=#e7dcc3|6-faces||8 6-simplex 25px |- |bgcolor=#e7dcc3|5-faces||28 5-simplex 25px |- |bgcolor=#e7dcc3|4-faces||56 5-cell 25px |- |bgcolor=#e7dcc3|Cells||70 tetrahedron 25px |- |bgcolor=#e7dcc3|F