12 Rhombic Triacontahedra

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Twelve rhombic triacontahedra are placed at the vertices of an icosahedron. When the triacontahedra are connected face to face they fit into a rhombic triacontahedron which is larger by the square of the golden ratio. This assembly may be the first stage of a possible fractal structure, as 12 of the large enveloping triacontahedra (with 12 small triacontahedra inside) can be arranged in the same way, and so on.

Contributed by: Sándor Kabai (September 2007)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.