Next: Spiral Columns Up: Columns with Continuous Symmetry Previous: Columns of Revolution Fluted Columns -- Two TypesAll remaining symmetry groups have at least symmetry for some k,that is, rotation symmetry through an angle .In our description of this classification we now set k=1 with the understanding that there is a version of each of the remaining columns for each natural number k.Indeed, the pictures we show all have k =2. There are two types of columns with axial translation symmetry: those which have a plane of reflection across a plane containing the axis of the cylinder ( )and those that do not ( ).See Figures 6 and 7.
Next: Spiral Columns Up: Columns with Continuous Symmetry Previous: Columns of Revolution Marty Golubitsky 2001-01-29 |