Twisted Domes

Paul Gailiunas
Bridges: Mathematical Connections in Art, Music, and Science (2004)
Pages 45–52


The most usual polyhedra with large numbers of triangular faces are geodesic domes, having non-regular triangles chosen so that the polyhedron approximates to a sphere. If the faces are equilateral triangles more interesting forms result, particularly if there are no planes of mirror symmetry, and the polyhedron has a twisted appearance. Some techniques for producing such polyhedra are described, and illustrated with examples.