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.