Polyhedra V1.0

• The 5 polyhedra
  
  
• Tetrahedron
  
  • +Tetrahedron
    
  • +Octahedron
    
  
  
• Cube
  
  • +Tetrahedron
    
  • +Octahedron
    
  • +Icosahedron
    
  
  
• Octahedron
  
  • +Tetrahedron
    
  • +Cube
    
  • +Icosahedron
    
  
  
• Dodecahedron
  
  • +Tetrahedron
    
  • +Cube
    
  • +Octahedron
    
  • +Icosahedron
    
  
  
• Icosahedron
  
  • +Tetrahedron
    
  • +Cube
    
  • +Dodecahedron
    
  
  

The Icosahedron

20 faces, 30 edges, 12 vertices

Dual: +Dodecahedron
Other inclusion:+Tetrahedron, +Cube

(The image is an applet: you can click and drag it).