Intersecting Cylinders and the Jitterbug

Joseph D. Clinton
Bridges: Mathematical Connections in Art, Music, and Science (2004)
Pages 345–346


Five art sculpture pieces are presented that compliment the paper "A Search in Progress: Polyhedra from Intersecting Cylinders." The double face connection of the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron are constructed from laser cut exotic wood. Each piece can be transformed from one polyhedron into another by a screw axis transformation. The transformation path of each vertex lies on the line of intersection of cylinders.