David Reimann
Through my art I make visible the beauty and wonder I see in the often abstract world of mathematics. I enjoy giving visual representations to mathematical concepts such as number, form, and process. I often use patterns that convey messages at multiple levels and scales using a wide variety of mathematical elements and media. Some of my work contains fine detail that allows the art to be viewed differently depending on the distance between the viewer and the art. Another prevalent theme in my work is symmetry, where the overall pattern is created by repeated rotation or translation of a smaller very similar units.
This piece is based on a split pair reciprocal construction based on the icosidodecaheron using 120 equal length (20 cm) strips of paper-backed bamboo veneer. Each vertex in the underlying polyhedron was opened in a reciprocal manner, where edge endpoints are connected to adjacent edges away from those endpoints. Each edge was then split, doubling the number of edges from 60 to 120. The number connection points was also doubled. Edges were then replaced with veneer strips. The resulting form has chiral icosahedral (532) symmetry. An orientation along an axis of five-fold rotational symmetry is shown.