Rhombic triacontahedra make quite versatile building-blocks for creating clusters in the shapes of other polyhedra. In this image (created with software you can find at http://www.software3d.com/Stella.php), a collection of them forms the overall shape of an octahedron.
This regular polytope (four-dimensional version of a polyhedron) is rotating in hyperspace. If you could see it there, you’d notice that all 120 dodecahedral cells have the same volume.
Created with Stella 4d (site to try it: http://www.software3d.com/Stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
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