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PolyhedronData |  |
| PolyhedronData[poly, "property"] gives the value of the specified property for the polyhedron named poly. |
| PolyhedronData[poly] gives an image of the polyhedron named poly. |
| PolyhedronData["class"] gives a list of the polyhedra in the specified class. |
| "Edges" | graphics primitives for edges in the polyhedron | |
| "Faces" | graphics primitives for faces of the polyhedron | |
| "Image" | complete image of the polyhedron |
| "AdjacentFaceIndices" | lists of indices for adjacent pairs of faces | |
| "EdgeCount" | total number of edges | |
| "EdgeIndices" | indices specifying the vertices on each edge | |
| "FaceCount" | total number of faces | |
| "FaceCountRules" | rules for the numbers of n-sided faces | |
| "FaceIndices" | lists of indices for the vertices of each face | |
| "VertexCount" | total number of vertices |
| "Centroid" | coordinates of the centroid in the standard embedding | |
| "InertiaTensor" | inertia tensor of the solid polyhedron | |
| "RegionFunction" | pure function giving True in the interior of the polyhedron | |
| "VertexCoordinates" | coordinates of vertices assuming unit smallest edge length |
| "Circumradius" | circumradius assuming unit smallest edge length | |
| "DihedralAngleRules" | rules for dihedral angles | |
| "EdgeLengths" | relative lengths of edges | |
| "GeneralizedDiameter" | maximum distance between a pair of vertices | |
| "Inradius" | inradius assuming unit smallest edge length | |
| "Midradius" | midradius assuming unit smallest edge length | |
| "SurfaceArea" | total surface area assuming unit smallest edge length | |
| "Volume" | enclosed volume assuming unit smallest edge length |
| "NetCoordinates" | coordinates of vertices in the net | |
| "NetCount" | number of topologically distinct nets that can be drawn | |
| "NetEdgeIndices" | indices specifying the vertices on each edge in the net | |
| "NetEdges" | graphics primitives for edges in the net | |
| "NetFaceIndices" | indices specifying the incidence of faces in the net | |
| "NetFaces" | graphics primitives for faces in the net | |
| "NetImage" | image of the polyhedron net |
| "SkeletonCoordinates" | vertex positions in an embedding of the skeleton graph | |
| "SkeletonImage" | image of the skeleton graph | |
| "SkeletonRules" | rules specifying the connectivity of the skeleton graph |
| "Dual" | dual of the polyhedron | |
| "Classes" | classes of which the polyhedron is a member | |
| "NotationRules" | formal notations for the polyhedron | |
| "SymmetryGroupString" | name of the symmetry group for the polyhedron |
| "Chiral" | chiral solid | |
| "Convex" | convex solid | |
| "Deltahedron" | solid consisting of equilateral triangles | |
| "Equilateral" | all sides have unit length | |
| "Zonohedron" | zonohedron |
| "AlternateNames" | alternate English names, as strings | |
| "AlternateStandardNames" | alternate standard Mathematica names | |
| "Name" | English name as a string | |
| "StandardName" | standard Mathematica name |
| "Description" | short textual description of the property | |
| "LongDescription" | longer textual description of the property | |
| "Note" | additional information about the property |
Show an image of a dodecahedron:
Show the net of a dodecahedron:
Show the snub cube with colored faces and transparency with no external lighting:
Show the snub cube with colored faces and transparency in the presence of external lighting:
Count the number of edges of an icosahedron:
Vertex coordinates for a unit tetrahedron:
A list of Archimedean polyhedra:
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