Exchange-type chromosome aberrations produced by ionizing radiation or restriction enzymes are believed to result from pairwise interaction of DNA double-strand breaks (dsb). In addition to dicentrics, such aberrations may include higher-order polycentrics (tricentrics, tetracentrics, etc.). We have developed computer programs that calculate the probability of the various polycentrics for a given average number of pairwise interactions. Two models are used. Model I incorporates kinetic competition between restitution, complete exchanges (illegitimate recombination events), and incomplete exchanges. Model II allows unrestituted breaks even if there is no recombination. The models were applied to experimental observations of aberrations produced in G1 Chinese hamster ovary cells after electroporation with the restriction enzyme PvuII, which produces blunt-end dsb. We found, experimentally and theoretically, that there was a maximum in the number and multiplicity of polycentrics per cell: beyond a certain PvuII concentration no additional or higher-order polycentrics were produced. Computer-generated relationships, which were remarkably similar for both models and for all values of the adjustable parameters, were found between dicentrics per cell and higher-order polycentrics per cell. Excellent agreement was found between the experimental observations and the consensus theoretical curve relating tricentrics per cell to dicentrics per cell. The observed number of higher polycentrics per cell for a given number of dicentrics per cell was somewhat larger than the consensus theoretical prediction. The observed number of centric rings per cell was markedly larger than the consensus theoretical value, presumably owing to intrachromosomal localization ('proximity effects'). The computer models also provided estimates for the adjustable parameters; for example, in model I the fraction of incomplete exchanges was found to be about 35%.