Editing Kepler–Poinsot polyhedron (section)

===Shared vertices and edges===

The great stellated dodecahedron shares its vertices with the dodecahedron. The other three Kepler–Poinsot polyhedra share theirs with the icosahedron.
{{awrap|The [[n-skeleton|skeletons]] of the solids sharing vertices are [[topology|topologically]] equivalent.}}

{| class="wikitable" style="width: 100%; text-align: center;"
|-
| [[File:Polyhedron 20 big.png|160px]]<br>[[regular icosahedron|icosahedron]]
| [[File:Polyhedron great 12.png|160px]]<br>[[great dodecahedron]]
| [[File:Polyhedron great 20.png|160px]]<br>[[great icosahedron]]
| [[File:Polyhedron great 12 dual.png|160px]]<br>[[small stellated dodecahedron]]
| [[File:Polyhedron 12 big.png|160px]]<br>[[regular dodecahedron|dodecahedron]]
| [[File:Polyhedron great 20 dual.png|160px]]<br>[[great stellated dodecahedron]]
|-
|colspan="2"| share vertices and edges
|colspan="2"| share vertices and edges
|colspan="2" rowspan="2"| share vertices, {{awrap|skeletons form [[dodecahedral graph]]}}
|-
|colspan="4"| share vertices, skeletons form [[icosahedral graph]]
|}