Constructing, surface triangulation, visualizing polyhedron
Finally, I restored my old applet (from 2015).
a Construction the coordinates for Convex Polyhedra
The peculiarity of this applet is that for a given number of n particles on the sphere, their extreme distribution is found. The maximum of the sum of distances is found directly: maximization using the Maximize[]command and sliders as in https://www.geogebra.org/material/show/id/dVXk2Gbq.
b Triangulation of polyhedral surfaces
This section sorts and finds vertices, faces, and surface segments of a polyhedron and its dual image.
c Visualization of polyhedral surfaces
In this section, the elements of the polyhedron and its dual image are directly translated into their 3d form.