This End Up. red acrylic plastic

This End Up is assembled from twenty identical components. Each was laser-cut, then beveled on twelve surfaces. The parts meet in thirty groups of four, at points on the exterior of the sculpture where the bevels are solvent cemented together. On the interior, the parts pass by each other in a complex manner without contact. The sculpture packs inside an icosidodecahedron. The twenty planes of the components are the extended face planes of an icosahedron, forming the uniform compound of five octahedra. Thus the form is a subset of a stellation of the icosahedron.

Deep Sea Tango, blue acrylic plastic

Deep Sea Tango is assembled from twelve identical components, each shaped like a ten-armed star fish. One can think of the arrangement as a bit of complex underwater ballet choreography; the arms dance through each other and only touch one another at their tips. Each part was laser-cut, then beveled at the ten tips to form the dihedral angle. Two arms meet at each of sixty points on the exterior of the sculpture where the bevels are solvent cemented together. The twelve planes of the components are the face planes of a dodecahedron, extended to meet as in the "Great Dodecahedron" a self-intersecting arrangement of twelve pentagons described by the mathematician Louis Poinsot in 1809. But the star-fish shape is a subset of each pentagon, designed not to intersect with its copies, except at the outermost tips.