57-cell
Sign in to saveAlso known as pentacontakaiheptachoron
{| 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)
~2 min read
Article
4 sectionsContents
- 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.