icosidodecahedron
An icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.
The Schlegel diagram shows the configuration of vertices and edges.
![Image](https://www.geogebra.org/resource/JM4eFdq7/0ELkVCj148c0v0nx/material-JM4eFdq7.png)