30 Cubes on a Rhombic Triacontahedron

Sándor Kabai
Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010)
Pages 317–322 Regular Papers


A cube is placed on each face of a rhombic triacontahedron (RT). In the cluster of 30 cubes produced in this manner, the cubes are connected at their vertices. With the use of physical models and the computer software Wolfram Mathematica, we study the possible geometrical features and relationships that can be associated with this geometrical sculpture. The purpose of this article is to introduce a method which is suitable for teaching a number of concepts by association to a single object.