The polyhedron above is a faceted pentagonal icositetrahedron. The unfaceted, normal pentagonal icositetrahedron is the dual of the snub cube.
The solid below is a faceted pentagonal hexecontahedron, which, in unfaceted form, is the dual of the snub dodecahedron.
I made both of these models with Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
The faces of this polyhedron are twelve yellow regular star pentagons, twenty blue equilateral triangles, and thirty golden rectangles, shown in red. I used Stella 4d to make this, and you can try this program for free, at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which is available here.
This is one of many possible facetings of the dodecahedron. It’s colored by face type above, and is shown in “rainbow color mode” below. I made both rotating images using Stella 4d, which you can try for free at this website.
I created this using Stella 4d, software you can try right here.
This faces of this polyhedron include 12 regular pentagons, and twenty 6/2-gons. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can try for free at this website.
I made this from the Archimedean Great Rhombicosidodecahedron, using a program called Stella 4d. If you’d like to try Stella for yourself, you can do so, for free, at this website: http://www.software3.com/Stella.php.
This beauty appeared unexpectedly when I was playing around with polyhedra related to the icosahedron and dodecahedron, using Stella 4d: Polyhedron Navigator. You can try this program for yourself, free, at http://www.software3d.com/Stella.php.
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