۲۴-خانه
Sign in to saveAlso known as icositetrachoron, octaplex, octahedral complex, octacube, polyoctahedron, C24, icosatetrahedroid, hyper-diamond
In four-dimensional geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,4,3}. It is also called C24, or the icositetrachoron, octaplex (short for "octahedral complex"), icosatetrahedroid, octacube, hyper-diamond or polyoctahedron, being constructed of octahedral cells.
Key facts
- Polychoron.Name
- 24-cell
- Polychoron.Image_File
- Schlegel wireframe 24-cell.png
- Polychoron.Image_Caption
- Schlegel diagram(vertices and edges)
- Polychoron.Type
- Convex regular 4-polytope
- Polychoron.Last
- 21
- Polychoron.Index
- 22
- Polychoron.Next
- 23
- Polychoron.Schläfli
- {3,4,3}r{3,3,4} = \left\{\begin{array}{l}3\\3,4\end{array}\right\}{31,1,1} = \left\{\begin{array}{l}3\\3\\3\end{array}\right\}
- Polychoron.CD
- or or
- Polychoron.Cell_List
- 24 {3,4} 20px
- Polychoron.Face_List
- 96 {3}
- Polychoron.Edge_Count
- 96
- Polychoron.Vertex_Count
- 24
- Polychoron.Petrie_Polygon
- dodecagon
- Polychoron.Coxeter_Group
- F4, [3,4,3], order 1152B4, [4,3,3], order 384D4, [31,1,1], order 192
- Polychoron.Vertex_Figure
- Cube
- Polychoron.Dual
- Self-dual
- Polychoron.Property_List
- convex, isogonal, isotoxal, isohedral
via Wikipedia infobox
Wikidata facts
- Instance of
- 4-polytope
- Subclass of
- isohedral figure
- Image
- 24-cell.gif
- Has parts of class
- edge
Show 6 more facts
- maintained by WikiProject
- WikiProject Mathematics
- dual to
- 24-cell
- has facet polytope
- regular octahedron
- has vertex figure
- cube
- Schläfli symbol
- {3¹’¹’¹}
- Commons category
- 24-cell
Sources (1)
via Wikidata · CC0