Are there more creative solutions or related illustrations for belt polygons and polyhedrons than what I wrote down below like [cvgmt's solution for zonotopes](https://mathematica.stackexchange.com/a/287931/89848)?

A *zonogon* is a convex polygon that is made up of parallel sides. Generating a random zonogon in Mathematica can be found [here](https://mathematica.stackexchange.com/questions/287922/how-to-create-a-random-zonogon). A natural generalization of zonogons is called *belt polygons*. A [belt polygon](https://link.springer.com/chapter/10.1007/978-3-642-59237-9_7#citeas) is a convex polygon that is made up of parallel line segments, but they are not necessarily the same length. I generalized [SHuisman's solution](https://mathematica.stackexchange.com/a/287988/89848) to get the Mathematica code below for a random belt polygon:

    ClearAll[CreateRandomBeltPolygon]
    CreateRandomBeltPolygon[sides_?EvenQ, lendist : {min_, max_}] := 
     Module[{m, angles, dirs, lengths},
      m = sides/2;
      angles = RandomReal[{0, 1}, m];
      angles /= Total[angles]/(Pi);
      angles = Join[angles, angles];
      dirs = Accumulate[angles];
      dirs += RandomReal[{0, 2 Pi}];
      lengths = RandomReal[lendist, 2*m];
      Polygon[Accumulate[MapThread[AngleVector[{#1, #2}] &, {lengths, dirs}]]]
      ]
     Graphics[{EdgeForm[Thick],White,CreateRandomBeltPolygon[6, {0.5, 1}] }, AspectRatio->Automatic]

For example might give:

[![Belt polygon with 6 sides.][1]][1]

It seems worth having different solutions because it seems typically there are many different ways to approach this same problem, but at the same time all of the approaches are probably valuable.

<sub>$\color{magenta}{\star}$ Boltyanski, V., Martini, H., & Soltan, P. S. (1997). [Combinatorial geometry of belt bodies. In Excursions into Combinatorial Geometry (pp. 319–363)]. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-59237-9_7</sub>


  [1]: https://i.sstatic.net/w7tgi.png