1a.
Truncated tetrahedron 4/3 4/6 from truncation of tetrahedron 4/3
Data
The distance from the centre of the
tetrahedron to the centre of the
triangle is EP×0.2
The distance from the centre of the
truncated tetrahedron to the centre of
the
hexagon (red) is EA×0.6. These two distances are equal, thus EA = EP /3
Construction
The edges of the tetrahedron are
divided in three equal parts.
The four hexagons (red) are applied on
the original triangles. The four corners (yellow)
are cut off, resulting in four
triangles (green-blue)

Line 1: Tetrahedron, net and solid.
Line 2 : Truncated tetrahedron ,
net and solid
.