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: