tesseract (4-cube)

GPTKB entity

Statements (58)
Predicate Object
gptkbp:instanceOf regular polytope
four-dimensional shape
gptkbp:alternativeName gptkb:8-cell
hypercube
regular octachoron
gptkbp:category gptkb:geometry
gptkb:mathematics
polytopes
gptkbp:cellFigure gptkb:tetrahedron
gptkbp:cellStructure 8 cubes
gptkbp:coordinates (±1,±1,±1,±1)
gptkbp:dimensions 4
gptkbp:discoveredBy gptkb:William_Rowan_Hamilton
gptkb:Ludwig_Schläfli
gptkbp:edge 32
gptkbp:edgeFigure gptkb:public_square
gptkbp:eulerCharacteristic 0
gptkbp:faced 24 squares
gptkbp:has0DFaces 16 vertices
gptkbp:has1DFaces 32 edges
gptkbp:has1DLength 32 edges, each of length 2 (for edge length 2)
gptkbp:has2DArea 24 squares, each of area 4 (for edge length 2)
gptkbp:has2DFaces 24 squares
gptkbp:has3DFaces 8 cubes
gptkbp:has3DVolume 8 cubes, each of volume 8 (for edge length 2)
gptkbp:has4DVolume 16 (for edge length 2)
gptkbp:hasCircumradius 2 (for edge length 2)
gptkbp:hasCoxeterDiagram 4 nodes in a line
gptkbp:hasDual gptkb:16-cell
gptkbp:hasEdgeLength 2 (for unit tesseract)
gptkbp:hasVertexConfiguration 4.3.3.3
gptkbp:hasWythoffSymbol | 4 3 3
https://www.w3.org/2000/01/rdf-schema#label tesseract (4-cube)
gptkbp:isConvex true
gptkbp:isGraph gptkb:hypercube_graph
gptkbp:isRegular true
gptkbp:isSelfDual false
gptkbp:isSimple false
gptkbp:nameOrigin Greek: tessares (four)
gptkbp:notableProject hypercube projection
gptkbp:relatedTo gptkb:600-cell
gptkb:120-cell
gptkb:16-cell
gptkb:24-cell
gptkb:5-cell
cube
hypercube
gptkbp:schläfliSymbol {4,3,3}
gptkbp:surface 96 (for edge length 2)
gptkbp:symmetry B4
gptkbp:uniform true
gptkbp:vertexFigure cube
gptkbp:vertices 16
gptkbp:visualizes gptkb:Schlegel_diagram
orthogonal projection
perspective projection
gptkbp:bfsParent gptkb:n-cube
gptkbp:bfsLayer 8