List of regular polytopes and compounds
Stars
The regular star polyhedra are called the Kepler–Poinsot polyhedra and there are four of them, based on the vertex arrangements of the dodecahedron {5,3} and icosahedron {3,5}: As spherical tilings, these star forms overlap the sphere multiple times, called its density, being 3 or 7 for these forms.

List of regular polytopes and compounds

Section Title: Stars
Table Section Text: The regular star polyhedra are called the Kepler–Poinsot polyhedra and there are four of them, based on the vertex arrangements of the dodecahedron {5,3} and icosahedron {3,5}: As spherical tilings, these star forms overlap the sphere multiple times, called its density, being 3 or 7 for these forms.

Name	Image (skeletonic)	Image (solid)	Image (sphere)	Stellation diagram	Schläfli {p,q} and Coxeter	Faces {p}	Edges	Vertices {q} verf.	χ	Density	Symmetry	Dual

Small stellated dodecahedron	-	-	-	-	{5/2,5}	-	30	-	−6	3	Ih [5,3] (*532)	Great dodecahedron

Great dodecahedron	-	-	-	-	{5,5/2}	-	30	-	−6	3	Ih [5,3] (*532)	Small stellated dodecahedron

Great stellated dodecahedron	-	-	-	-	{5/2,3}	-	30	-	2	7	Ih [5,3] (*532)	Great icosahedron

Great icosahedron	-	-	-	-	{3,5/2}	-	30	-	2	7	Ih [5,3] (*532)	Great stellated dodecahedron

Sentence(s)

The great icosahedron is one of four Kepler-Poinsot polyhedra with Schläfli symbol {3,5/2}.

final_sentence: The great icosahedron is one of four Kepler-Poinsot polyhedra with Schläfli symbol {3,5/2}.