  Direct CP violation can exist in untagged, neutral B-meson decays to certain
self-conjugate, hadronic final states. It can occur if the resonances which
appear therein permit the identification of distinct, CP-conjugate states -- in
analogy to stereochemistry, we term such states ``CP-enantiomers.'' These
states permit the construction of a CP-odd amplitude combination in the
untagged decay rate, which is non-zero if direct CP violation is present. The
decay B\to \pi^+\pi^-\pi^0, containing the distinct CP-conjugate states \rho^+
\pi^- and \rho^- \pi^+, provides one such example of a CP-enantiomeric pair. We
illustrate the possibilities in various multi-particle final states.
