Stellation diagram

In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one.

Usually unbounded regions are excluded from the diagram, along with any portions of the lines extending to infinity.

A collection of these diagrams, one for each face type, can be used to represent any stellation of the polyhedron, by shading the regions which should appear in that stellation.

A stellation diagram exists for every face of a given polyhedron.

Semiregular polyhedra like the Archimedean solids will have different stellation diagrams for different kinds of faces.

The stellation diagram for the regular dodecahedron with the central pentagon highlighted. This diagram represents the dodecahedron face itself.