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تسرکت
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تسرکت

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Also known as 8-cell, cubic prism, 4-cube, octachoron, octahedroid, 4-hypercube

In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles. The tesseract is one of the six convex regular 4-polytopes.

Key facts

Polychoron.Name
Tesseract8-cell(4-cube)
Polychoron.Image_File
8-cell-simple.gif
Polychoron.Type
Convex regular 4-polytope
Polychoron.Family
Hypercubes
Polychoron.Last
9
Polychoron.Index
10
Polychoron.Next
11
Polychoron.Schläfli
{4,3,3}t0,3{4,3,2} or {4,3}×{ }t0,2{4,2,4} or {4}×{4}t0,2,3{4,2,2} or {4}×{ }×{ }t0,1,2,3{2,2,2} or { }×{ }×{ }×{ }
Polychoron.Cell_List
8 {4,3} 20px
Polychoron.Face_List
24 {4}
Polychoron.Edge_Count
32
Polychoron.Vertex_Count
16
Polychoron.Petrie_Polygon
octagon
Polychoron.Coxeter_Group
B4, [3,3,4]
Polychoron.Vertex_Figure
80px|class=skin-invertTetrahedron
Polychoron.Dual
16-cell
Polychoron.Property_List
convex, isogonal, isotoxal, isohedral, Hanner polytope

via Wikipedia infobox

Wikidata facts

Instance of
4-polytope
Image
8-cell-simple.gif
Has parts of class
cell
Show 8 more facts
has vertex figure
tetrahedron
Commons category
Tesseract
has facet polytope
cube
dual to
16-cell
maintained by WikiProject
WikiProject Mathematics
Schläfli symbol
{4,3,3}
Sources (3)

via Wikidata · CC0

Gallery (40)