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 cube from truncation of icosahedron: 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 ]