EntityQ4640774· pop 5· linked from 13 articles

57-cell

{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|57-cell |- |bgcolor=#e7dcc3|Type||Abstract regular 4-polytope |- |bgcolor=#e7dcc3|Cells||57 hemi-dodecahedra150px |- |bgcolor=#e7dcc3|Faces||171 {5} |- |bgcolor=#e7dcc3|Edges||171 |- |bgcolor=#e7dcc3|Vertices||57 |- |bgcolor=#e7dcc3|Vertex figure||hemi-icosahedron |- |bgcolor=#e7dcc3|Schläfli type||{5,3,5} |- |bgcolor=#e7dcc3|Symmetry group||order 3420Abstract L2(19) |- |bgcolor=#e7dcc3|Dual||self-dual |- |bgcolor=#e7dcc3|Properties||Regular |} In mathematics, the 57-cell (pentacontaheptachoron)

Article

4 sections

Contents

Perkel graph
See also
References
External links

{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|57-cell

|- |bgcolor=#e7dcc3|Type||Abstract regular 4-polytope |- |bgcolor=#e7dcc3|Cells||57 hemi-dodecahedra150px |- |bgcolor=#e7dcc3|Faces||171 {5} |- |bgcolor=#e7dcc3|Edges||171 |- |bgcolor=#e7dcc3|Vertices||57 |- |bgcolor=#e7dcc3|Vertex figure||hemi-icosahedron |- |bgcolor=#e7dcc3|Schläfli type||{5,3,5} |- |bgcolor=#e7dcc3|Symmetry group||order 3420Abstract L2(19) |- |bgcolor=#e7dcc3|Dual||self-dual |- |bgcolor=#e7dcc3|Properties||Regular |} In mathematics, the 57-cell (pentacontaheptachoron) is a self-dual abstract regular 4-polytope (four-dimensional polytope). Its 57 cells are hemi-dodecahedra. It also has 57 vertices, 171 edges and 171 two-dimensional faces.