The first polyhedron shown here is also a symmetrohedron. 42 of its faces are regular decagons, and twenty are equilateral triangles. There are also sixty each of two types of isosceles trapezoids. That’s 182 faces in all.
The second polyhedron shown, below, also has 42 regular decagons as faces, along with twenty equiangular hexagons, sixty isosceles triangles, sixty almost-square isosceles trapezoids, and 120 of another kind of isosceles trapezoid. That’s a total of 302 faces.
The third one I found, shown below, has 42 decagons, sixty convex hexagons, twenty equilateral triangles, sixty rectangles, and sixty isosceles trapezoids, for a total of 242 faces.
I made all three of these polyhedra using Stella 4d: Polyhedron Navigator, which you can try for yourself, free, at http://www.software3d.com/Stella.php.
RobertLovesPi.net 
So nice
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Can you upload .stl?
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I’m not familiar with .stl files. If you’re talking about .stel files, no, I can’t, because they aren’t supported by WordPress.
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Thank you so much for your reply! Was not expecting one so this was a pleasant surprise. I believe the Great Stella version of the program supports exporting polyhedra as 3D Models. There are different file formats for them, including .obj and .stl (I think Stella supports both). Are you able to upload such files?
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Not on WordPress, no — and also, I do not have a .stel file for these three polyhedra. All I have is the rotating .gif pics.
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You might try posing your query in this Facebook group. There’s a good chance that someone there can help you. https://www.facebook.com/groups/196165767185827
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