4-orthoplex

URI: https://gptkb.org/entity/4-orthoplex

GPTKB entity

Predicate	Object
gptkbp:instanceOf	regular 4-polytope
gptkbp:alsoKnownAs	gptkb:16-cell hexadecachoron
gptkbp:category	regular polytopes 4-polytopes self-dual polytopes
gptkbp:cellStructure	16 tetrahedra
gptkbp:cellType	gptkb:tetrahedron
gptkbp:coordinates	(±1,0,0,0), (0,±1,0,0), (0,0,±1,0), (0,0,0,±1)
gptkbp:dimensions	4
gptkbp:discoveredBy	gptkb:Alicia_Boole_Stott
gptkbp:edge	24
gptkbp:edgeFigure	gptkb:train
gptkbp:faced	32 triangles
gptkbp:faceType	gptkb:tetrahedron
gptkbp:familyMember	gptkb:orthoplex gptkb:cross-polytope Coxeter group B4
gptkbp:hasDual	4-hypercube
gptkbp:hasUniformColoring	true
https://www.w3.org/2000/01/rdf-schema#label	4-orthoplex
gptkbp:isConvex	true
gptkbp:isPlatonicSolidIn4D	true
gptkbp:isPolychoron	true
gptkbp:isRegular	true
gptkbp:isSelfDual	true
gptkbp:isSimplex	false
gptkbp:relatedTo	gptkb:4-cube 3-orthoplex 5-orthoplex
gptkbp:Schläfli_symbol	{3,3,4}
gptkbp:symmetry	B4
gptkbp:vertexFigure	gptkb:octahedron
gptkbp:vertices	8
gptkbp:bfsParent	gptkb:4-dimensional_Euclidean_space gptkb:16-cell
gptkbp:bfsLayer	7