Great dodecicosahedron

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What Wikipedia says

In geometry, the great dodecicosahedron (or great dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U63. It has 32 faces (20 hexagons and 12 decagrams), 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.

Excerpt from the Wikipedia article “Great dodecicosahedron”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Robert Webb, Attribution, via Wikimedia Commons.