Platonic solids

GPTKB entity

Statements (51)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:allAnglesEqual yes
gptkbp:allEdgesEqual yes
gptkbp:allFacesSameShape yes
gptkbp:appearsIn gptkb:Euclid's_Elements
gptkbp:category polyhedra
gptkbp:class regular polyhedra
gptkbp:discoveredBy gptkb:ancient_Greeks
gptkbp:dualPolyhedra yes
gptkbp:eachEdge sameNumberOfFacesMeet
gptkbp:eachVertex sameNumberOfFacesMeet
gptkbp:edgesAre identical
gptkbp:edgesOfCube 12
gptkbp:edgesOfDodecahedron 30
gptkbp:edgesOfIcosahedron 30
gptkbp:edgesOfOctahedron 12
gptkbp:edgesOfTetrahedron 6
gptkbp:Euler_characteristic 2
gptkbp:example gptkb:dodecahedron
gptkb:icosahedron
gptkb:octahedron
gptkb:tetrahedron
cube
gptkbp:facesOfCube 6
gptkbp:facesOfDodecahedron 12
gptkbp:facesOfIcosahedron 20
gptkbp:facesOfOctahedron 8
gptkbp:facesOfTetrahedron 4
gptkbp:faceType congruent regular polygons
gptkbp:heldBy convex polyhedra
https://www.w3.org/2000/01/rdf-schema#label Platonic solids
gptkbp:namedAfter gptkb:Plato
gptkbp:relatedTo gptkb:Archimedean_solids
gptkb:Kepler-Poinsot_polyhedra
gptkbp:studiedBy gptkb:Euclid
gptkbp:symbolizes gptkb:classical_elements_(in_Plato's_philosophy)
gptkbp:symmetry finite
gptkbp:type 5
gptkbp:uniqueIn 3-dimensional space
gptkbp:usedIn gptkb:architecture
gptkb:art
gptkb:mathematics
gptkb:philosophy
gptkbp:vertices identical
gptkbp:verticesOfCube 8
gptkbp:verticesOfDodecahedron 20
gptkbp:verticesOfIcosahedron 12
gptkbp:verticesOfOctahedron 6
gptkbp:verticesOfTetrahedron 4
gptkbp:bfsParent gptkb:Plato
gptkbp:bfsLayer 4