Clusters of 60 Polyhedra

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A great rhombicosidodecahedron is somewhat modified, with the usual squares and hexagons replaced with golden rectangles and golden hexagons. A cluster of 60 cubes is enveloped by ; the cubes are connected to one another by their vertices, and one edge of each cube is an edge of .

Contributed by: Sándor Kabai (May 2021)
Open content licensed under CC BY-NC-SA



The cubes can be replaced with many fitting polyhedra to form regular structures with face, edge and vertex connections. Only rhombic dodecahedron, icosahedron and tetrahedron can be seen in this Demonstration. Various combinations can be explored. To show the large tetrahedra with embedded small icosahedra, with tetrahedron vertices touching the icosahedron vertices, it is desirable to eliminate all other components. Two equivalent parts can be seen separately, allowing a look inside the structure.

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