In addition to well-executed and neat models, the most important contribution of dynamic geometry to the given issue is the need to deal with non-standard geometrical relations between the given regular polyhedrons.
Within the frame of traditional education in the characteristics of regular polyhedrons at basic and secondary schools, or in the education of future teachers of mathematics, one of the highest educational goals is perhaps the ability to show the mutual duality of two regular solids.
Kepler knew that there were only five
regular polyhedrons (solid figures whose faces are composed of identical polygons): tetrahedrons, cubes, octahedrons, dodecahedrons, and icosahedrons.