Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Polygon
Platonic solid |
gptkbp:discoveredBy |
gptkb:ancient_Greeks
|
gptkbp:dualPolyhedron |
regular icosahedron
|
gptkbp:edge |
30
|
gptkbp:Euler_characteristic |
2
|
gptkbp:faced |
12
regular pentagon |
gptkbp:hasCircumscribedSphere |
true
|
gptkbp:hasDihedralAngle |
116.565°
|
gptkbp:hasEdgeLength |
a (variable)
|
gptkbp:hasInscribedSphere |
true
|
gptkbp:hasVertexFigure |
regular triangle
|
https://www.w3.org/2000/01/rdf-schema#label |
regular dodecahedron
|
gptkbp:isConvex |
true
|
gptkbp:Schläfli_symbol |
{5,3}
|
gptkbp:surfaceAreaFormula |
3√25+10√5 × a²
|
gptkbp:symmetry |
icosahedral symmetry
|
gptkbp:vertices |
20
3.3.3.3.3 |
gptkbp:volume |
(15+7√5)/4 × a³
|
gptkbp:bfsParent |
gptkb:icosahedral_group
|
gptkbp:bfsLayer |
5
|