  A detailed analysis of the symmetric tetracrystal geometry used in
phase-sensitive pairing symmetry experiments on high Tc superconductors is
carried out for both bulk and surface time-reversal symmetry-breaking states,
such as the d+id' and d+is states. The results depend critically on the
substrate geometry. In the general case, for the bulk d+id' (or d+is) state,
the measured flux quantization should in general not be too different from that
obtained in the pure d-wave case, provided |d'| << |d| (or |s| << |d|).
However, in one particular high symmetry geometry, the d+id' state gives
results that allow it to be distinguished from the pure d and the d + is
states. Results are also given for the cases where surface d+is or d+id' states
occur at a [110] surface of a bulk d-wave superconductor. Remarkably, in the
highest symmetry geometry, a number of the broken time-reversal symmetry states
discussed above give flux quantization conditions usually associated with
states not having broken time- reversal symmetry.
