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We present a set of rotationally invariant observables which characterizes the ``shapes'' of events, and is calculable in quantum-chromodynamics perturbation theory for final states consisting of quarks and gluons
. We include the effects of fragmentation to hadrons in comparing the shapes of events from the processes
, and
heavy resonance
, and from heavy-quark and lepton production. We indicate how our analysis may be extended to deep-elastic lepton-hadron interactions and hadron-hadron collisions involving large transverse momenta.