The icosidodecahedral graph is the skeleton of the <icosidodecahedron>. It has 30 vertices, 60 edges, 20 triangular faces, and 12 pentagonal faces. Every edge separates a triangle from a pentagon, so it attains equality in the <triangle-pentagon planar edge bound>.


Icosidodecahedral graph

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The icosidodecahedron has 20 triangular and 12 pentagonal faces, with the faces alternating around each of its 30 vertices. It can be obtained by cutting a <dodecahedron> through the midpoints of its edges.


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 Incoming links: Icosidodecahedron