Above is a picture of a net of 16-cells regular polytope. It is hard to conclude
anything from this picture.
Much more helpful is the picture:
It is not a net, but something very close to a net. It consists of 8 regular
tetrahedrons. They are glued to 8 faces of a regular octahedron (see Plato’s polyhedrons). The following consideration is an extension of remarks given in
Cross Sections of Regular 16-cells Polytope.
Take 8 outer vertices of these tetrahedrons and theirs faces against these vertices.
Rotate tetrahedrons in 4-dimensional space about these faces
so that these vertices will coincide (similar way as in
Nets of 5-cells and 8-cells regular polytopes). We shall receive a
4-dimensional regular pyramid with a base being a regular octahedron. Take
another copy of such pyramids and glue these two pyramids face-to-face. As a
result we shall receive a regular 16-cells regular polytope.
We shall not present a picture of complete net of 24-cells regular polytope, but
only a part of it consisting of 9 regular octahedrons. One of these octahedrons
is completely hidden behind others:
