Multiple Facetings of the Icosidodecahedron

To create a faceted icosidodecahedron, you simply start with an icosidodecahedron, then remove its edges and faces. Next, you connect the vertices differently, thus creating new faces and edges. As you can see below, this can be done in many different ways.

Faceted Icosidodeca 3Faceted IcosidhgfodecaCompound of enantiomorphic pair of facted icosidoecafaceted five octahedra dual of final stellation of 5cubes colored by face typeFaceted DualFaceted IcosidodecaFaceted Icosidodeca xfacetings of the Icosidodecafacetings of the Icosidodeca 2Faceted icosidod and a uniform polyhedron made of 10 hexagons and 12 star pentagons fid out which oneFaceted Icosidodeca six reg decagons going through center twelve star pentagons 30 golden rectangles

All these were created using Stella 4d, software you may try for free at

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