DNA rearrangements are thought to arise from two classes of processes. The first class involves DNA breakage and fusion ("cut-and-paste") without net DNA gain or loss. The second class involves aberrant DNA replication ("copy-and-paste") and can produce either net DNA gain or loss. We previously demonstrated that the partitioning of chromosomes into aberrant structures of the nucleus, micronuclei or chromosome bridges, can generate cut-and-paste rearrangements by chromosome fragmentation and ligation. Surprisingly, in the progeny clones of single cells that have undergone chromosome bridge breakage, we identified large segmental duplications and short sequence insertions that are commonly attributed to copy-and-paste processes. Here, we demonstrate that both large duplications and short insertions are inherent outcomes of the replication and fusion of unligated DNA ends, a process we term breakage-replication/fusion (B-R/F). We propose that B-R/F provides a unifying explanation for complex rearrangement patterns including chromothripsis and chromoanasynthesis and enables rapid DNA amplification after chromosome fragmentation.