Point group Th - Dual extruder

thingiverse

In crystallography, a crystallographic point group is a set of symmetry operations that include rotations and reflections, leaving a central point unmoved while moving other directions and faces of the crystal to identical positions. This concept plays a crucial role in understanding the structure and properties of crystals. A dual-extrusion model with a cubic cell provides an interesting framework for exploring these principles. The Schoenflies notation Th is commonly used to describe this type of symmetry, while the Hermann–Mauguin notation m−3 offers a more detailed representation. Similarly, the orbifold 3*2 provides a unique perspective on the crystal's geometric properties. The provided OpenSCAD files enable users to create custom cells that embody these symmetries, allowing for hands-on exploration and visualization of the concepts. For further information and in-depth analysis, refer to the resources listed below: https://www.staff.ncl.ac.uk/j.p.goss/symmetry/Th.html