A Cluster of Thirty-One Rhombic Enneacontahedra

31 RECs

The rhombic enneacontahedron has thirty faces which are narrow rhombi, and sixty faces which are wider rhombi. It is also known as a vertex-based zonohedrified dodecahedron. To create this cluster-polyhedron, I started with one rhombic enneacontahedron in the center, and then augmented its thirty red faces (the narrow rhombi) with additional rhombic enneacontahedra. In the image above, I kept the yellow color for all the wide rhombi, and red for all the narrow ones. In the next image, however, the rhombi are colored by face type, referring to their position in the entire cluster-polyhedron.

31 RECs 2

Software credit: I created this using Stella 4d, software you can buy, or try for free, at this website.

4 thoughts on “A Cluster of Thirty-One Rhombic Enneacontahedra

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