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

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

      dodecahedron 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 (blue-green)

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

      polyhedron.

     

      

      

       Line 1: Application of snub dodecahedron pentagon (red) on dodecahedron pentagon acc. to Badoureau.

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

      

        13b.   [Snub dodecahedron - truncated from icosahedron: Center of icosahedron to center of triangle: 0.76 EP

        Center of snub dodecahedron to center of the triangle: 2.08 EA.   EA = 0.36 EP ]