We enjoy creative activities on the boundary between mathematics and art. Sometimes we create artwork by using geometric tube design.
The truncated icosahedron is one of the Archimedean solids, generalizations of Plato's regular solids. The soccer ball "Telstar" and the nano technology molecule model "Fullerene" are instantiations of it.
For a given regular pentagonal shape(RPS*), it is possible for us to image a creative transformation of the soccer ball Telstar derived from the truncated icosahedron(TI) by applying the TI formation scheme. Eventually, through a series of geometric tube design experiments, we arrive at a model called the Archimedean star with respect to the RPS*.
This art work is a natural harmony of three Archimedean stars which have horizontal, vertical and skewed double forms respectively. So it is said to be also "an Archimedean star harmony of horizontality, skewness and verticality" instead of it's formal title " The Archimedean star harmony HSV2012"