  Steady, dihedrally symmetric patterns with sharp peaks may be observed on a
spinning skirt, lagging behind the material flow of the fabric. These
qualitative features are captured with a minimal model of traveling waves on an
inextensible, flexible, generalized-conical sheet rotating about a fixed axis.
Conservation laws are used to reduce the dynamics to a quadrature describing a
particle in a three-parameter family of potentials. One parameter is associated
with the stress in the sheet, aNoether is the current associated with
rotational invariance, and the third is a Rossby number which indicates the
relative strength of Coriolis forces. Solutions are quantized by enforcing a
topology appropriate to a skirt and a particular choice of dihedral symmetry. A
perturbative analysis of nearly axisymmetric cones shows that Coriolis effects
are essential in establishing skirt-like solutions. Fully non-linear solutions
with three-fold symmetry are presented which bear a suggestive resemblance to
the observed patterns.
