Dodecadodecahedron

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• Vertex description: 5/2.5.5/2.5
• Faces: 24
• Edges: 60
• Vertices: 30
• External facelets: 72
• Dual: Medial rhombic triacontahedron

  This uniform polyhedron's faces consist of 12 pentagons and 12 pentagrams. They're not hard to spot.

  The polyhedron can be thought of as a half-way point between the great dodecahedron and its dual the small stellated dodecahedron. It's relationship to those regular polyhedra is the same as the icosidodecahedron's relationship to the dodecahedron and its dual the icosahedron. In both cases the uniform polyhedron can be found at the half-way point when morphing by truncation in Small Stella, Great Stella, or Stella4D.

  	Another photo.
  	Here's a topological version. In this version parts of each face have been cut away so that only faces that truly share an edge are still connected. Where two faces would normally intersect to cause a false edge, now they weave through each other without collision.

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