Editing Regular polytope (section)

===Star polygons and polyhedra===

Our understanding remained static for many centuries after Euclid. The subsequent history of the regular polytopes can be characterised by a gradual broadening of the basic concept, allowing more and more objects to be considered among their number. [[Thomas Bradwardine]] (Bradwardinus) was the first to record a serious study of [[star polygon]]s. Various star polyhedra appear in Renaissance art, but it was not until [[Johannes Kepler]] studied the [[small stellated dodecahedron]] and the [[great stellated dodecahedron]] in 1619 that he realised these two polyhedra were regular. [[Louis Poinsot]] discovered the [[great dodecahedron]] and [[great icosahedron]] in 1809, and [[Augustin Cauchy]] proved the list complete in 1812. These polyhedra are known as collectively as the [[Kepler-Poinsot polyhedra]].

{{main|Regular polyhedron#History}}

{| class="wikitable"
|-
|colspan=4 align=center|'''[[Kepler-Poinsot polyhedron|Kepler-Poinsot polyhedra]]'''
|-
|align=center|[[Image:SmallStellatedDodecahedron.jpg|75px]]
|align=center|[[Image:GreatStellatedDodecahedron.jpg|75px]]
|align=center|[[Image:GreatDodecahedron.jpg|75px]]
|align=center|[[Image:GreatIcosahedron.jpg|75px]]
|-
|[[Small stellated dodecahedron|Small stellated<br>dodecahedron]]||[[Great stellated dodecahedron|Great stellated<br>dodecahedron]]||[[Great dodecahedron]]||[[Great icosahedron]]
|}