2b.  Cuboctahedron  8/3   6/4 from truncation of octahedron  8/3

         Data

The distance from the centre of the octahedron to the centre of the triangle is EP×0.41.

          The  distance  from the centre of the

cuboctahedron to the  centre of the triangle (red) is EA×0.82.

These two distances are equal, thus  EA= EP/2

         Construction

EP is divided in two equal parts. 

The eight triangles (red) are applied on the original triangles.

The six corners (yellow) are cut off, resulting in six squares (green-blue)

        

         Line 1: Octahedron net and solid. .

         Line 2:   Cuboctahedron net and solid.