Obtain a list of all implemented polyhedra:
Find the English name of a polyhedron:
A list of alternate names can also be found:
Additional names acceptable as input can be found:
Find the list of polyhedron classes:
Find the list of polyhedra belonging to a class:
Test whether a polyhedron belongs to a class:
Get a list of properties for a particular polyhedron:
Get a short textual description of a property:
Get a longer textual description:
A property value can be any valid Mathematica expression:
A property that is not available for a polyhedron has the value
Missing
:
A property that is not applicable for a polyhedron has the value
Missing
:
Give the edges of the cube as a
GraphicsComplex:
Give the faces of the cube as a
GraphicsComplex:
Give an image of the cube:
Give the number of edges in an icosahedron:
Give the indices of edges in an icosahedron:
Give the number of faces in a cuboctahedron:
Give a list of rules summarizing the number and types of faces in the cuboctahedron:
Give the indices of the faces in a cuboctahedron:
Count the number of vertices in a cuboctahedron:
Give the centroid of Dürer's solid:
Give the normalized moment of inertia tensor of the Mathematica polyhedron:
Give the region function of the cuboctahedron as a pure function:
Give the region function of the cuboctahedron as a function of
,
, and
coordinates:
Plot the region corresponding to the interior of the cuboctahedron:
Give the vertex coordinates of the cuboctahedron:
Give the circumcenter of the unit tetrahedron:
Show the circumradius of the unit tetrahedron:
Combine the two to get the circumsphere itself:
Show the circumsphere of the unit cube:
Show the dihedral angle rules of the unit cube:
Give edge lengths of the unit cube:
Give edge lengths of the deltoidal hexecontahedron:
Give the generalized diameter of the unit cube:
Give the incenter of the unit cube:
Give the inradius of the unit cube:
Combine the two to get the insphere of the unit cube:
Give the midcenter of the unit cube:
Give the midradius of the unit cube:
Combine the two to get the midsphere of the unit cube:
Give the surface area of the unit cube:
Give rules for vertex subsets whose convex hulls form other solids:
Give the volume of the unit cube:
Give the coordinates of the vertices of an icosahedron net:
Give the number of distinct nets of an icosahedron:
Give the indices of the edges of an icosahedron net:
Give the edges of an icosahedron net as a
GraphicsComplex:
Give the indices of the faces of a net of the icosahedron:
Give the faces in a net of the octahedron as a
GraphicsComplex:
Return the net of the dodecahedron as a Graph object:
Show an image of the net of the dodecahedron:
Give the vertices of a skeleton of the dodecahedron:
Return the skeleton of the dodecahedron as a Graph object:
Give the name of the skeleton graph of the cube:
Give an image of the dodecahedron skeleton graph:
Show an image of the dodecahedron skeleton graph:
Classes of which the cube is a member:
Dual name of the Platonic solids:
Notations describing the cube:
Show the symmetry group of the cube, encoded as a string:
Amphichiral polyhedra:
Chiral polyhedra:
Compound polyhedra:
Concave polyhedra:
Convex polyhedra:
Deltahedra:
Equilateral polyhedra:
Isohedra:
Self-dual polyhedra:
Space-filling polyhedra:
Polyhedra that are stellations:
Zonohedra:
Archimedean solids:
Archimedean duals:
Johnson solids:
Kepler-Poinsot solids:
Platonic solids:
Platonic duals:
Same as the Platonic solids:
Uniform solids:
Uniform duals:
Antiprisms:
Dipyramids:
Prisms:
Pyramids:
List the alternate English names of the cube:
List the alternate standard names for the octahedron:
Give rules for various notations for the cube:
Query the standard name of the 3-hypercube:
Show other alternate standard names corresponding to this standard name:
and 
.
, 
, 
, 
, 
, and 
.
or PolyhedronData[All] gives a list of all available polyhedra.
gives a list of polyhedra with ≤ n faces.
gives a list of all standard polyhedra with m through n faces.
, etc. gives a list of polyhedra in the specified class with n faces, etc.
gives a list of all supported classes.
gives a list of properties available for polyhedra.
gives True if the polyhedron is in the specified class.
or PolyhedronData
gives various annotations associated with a property. Typical annotations include:
EXAMPLES
Basic Examples 
Scope 