13a. Snub dodecahedron 12/5   80/3 from truncation of dodecahedron  12/5

      The distance from the centre 6f the dodecahedron to the centre of the pentagon is EP×1.11.The distance from the centre

      of the snub cube to the centre of the pentagon (red) is EA×1.98. These two distances are equal, thus EA=EP×0.56

     

        See Badoureau for application of the pentagons (red) and truncation resulting in eighty tiangles (green)

      However 60 of the 80 triangles are scalene triangles. Thus, this snub cube is not a correct Archimedean

      polyhedron.

     

      

      

       Line 1: Application of the snub cube pentagon (red) on

                   the dodecahedron pentagon acc to Badoureau

       Line 2: Snub cube net and solid. (correct Archimedean)

      

        13b.   Snub dodecahedron from  truncation of icosahedron  20/3: The distance from the centre of the icosahedron to the centre of the triangle: 0.76 EP

        The distance from the centre of the snub cube to the centre of the  triangle: 2.08 EA. Thus,  EA = 0.36 EP

       

       13c.  Snub dodecahedron from truncation of truncated icosidodecahedron 30/4  20/6  12/10

                 The diagonals (red) on the squares, hexagons and decagons are not of the same length. Thus,

                  the edges of the snub dodecahedron (red) are not equal and the snub dodecahedron is not a correct  

                  Archimedean polyhedron.