gptkbp:instanceOf
|
gptkb:Polygon
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gptkbp:affiliatedWith
|
Platonic solid
|
gptkbp:angleBetweenEdges
|
~109.47 degrees
|
gptkbp:angleBetweenFaces
|
~70.53 degrees
|
gptkbp:category
|
Three-dimensional geometry
|
gptkbp:dimensions
|
3
|
gptkbp:dualPolyhedron
|
gptkb:Tetrahedra
|
gptkbp:edge
|
6
|
gptkbp:Euler_characteristic
|
2
|
gptkbp:example
|
Methane molecule geometry
|
gptkbp:faced
|
4
Triangle
|
gptkbp:hasCircumsphere
|
Yes
|
gptkbp:hasInsphere
|
Yes
|
https://www.w3.org/2000/01/rdf-schema#label
|
Tetrahedra
|
gptkbp:isConvex
|
Yes
|
gptkbp:isEdgeTransitive
|
Yes
|
gptkbp:isFaceTransitive
|
Yes
|
gptkbp:isRegular
|
Yes
|
gptkbp:isSelfDual
|
Yes
|
gptkbp:isSimplex
|
Yes
|
gptkbp:isTheOnlyPolyhedronWithFewerThan5Faces
|
Yes
|
gptkbp:isVertexTransitive
|
Yes
|
gptkbp:minimumNumberOfEdgesForPolyhedron
|
6
|
gptkbp:minimumNumberOfFacesForPolyhedron
|
4
|
gptkbp:minimumNumberOfVerticesForPolyhedron
|
4
|
gptkbp:regularTetrahedronEdgeLength
|
a
|
gptkbp:regularTetrahedronSurfaceArea
|
√3 × a^2
|
gptkbp:regularTetrahedronVolume
|
(a^3)/(6√2)
|
gptkbp:symmetry
|
T_d
|
gptkbp:usedIn
|
gptkb:Mathematics
gptkb:Crystallography
Chemistry
Molecular geometry
|
gptkbp:vertices
|
4
|
gptkbp:volume
|
(1/3) × base area × height
|
gptkbp:bfsParent
|
gptkb:Bert_Flugelman
|
gptkbp:bfsLayer
|
8
|