Schoenhardt Polyhedron

thingiverse

The Schoenhardt polyhedron, although seemingly simple, is unique as it cannot be constructed from tetrahedra. It possesses a distinctive feature where no internal diagonals are present; each vertex connects to four others through edges, while the diagonal to the final vertex intersects between two sides. Visualization of this shape was challenging even with animated depictions, prompting me to create a physical model using an OpenSCAD script derived from a POV-Ray file animation example. Printing is support-free and can be scaled as desired.