For the Mach reflection ͑MR͒ of symmetric shock waves of opposite families, only the wave configuration of an overall Mach reflection ͑oMR͒ consisting of two direct Mach reflections ͑DiMR+ DiMR͒ is theoretically admissible. For asymmetric shock waves, an oMR composed of a DiMR and an inverse Mach reflection ͑InMR͒ is possible if the two slip layers assemble a converging-diverging stream tube, while an oMR including two inverse Mach reflections ͑InMR + InMR͒ is absolutely impossible. In this paper, an overall Mach reflection configuration with double inverse MR patterns is computationally confirmed using the computational fluid dynamics technique. The aerodynamic mechanism behind such an abnormal wave pattern is illustrated. Classical two-and three-shock theories are also applied for the theoretical analysis. © 2009 American Institute of Physics. ͓DOI: 10.1063/1.3073006͔The shock wave interactions have significant impacts on the performance and reliability of a supersonic/hypersonic aircraft or a winged space shuttle during its re-entry flight. The study on shock interactions can be traced back to 1878 when Ernst Mach found two well known shock wave reflection configurations: a regular reflection ͑RR͒ and a Mach reflection ͑MR͒, which consists of a Mach stem, an incident shock, a reflected shock, and a slip layer. von Neumann 1 introduced the criteria for the RR↔ MR transition of symmetric shock waves: the von Neumann and detachment criteria. Theoretically, MR is impossible below the former, while RR is inadmissible beyond the latter. Both RR and MR are admissible between the criteria. Related research can still be found in the recent literature. [2][3][4][5][6] In the present work, an abnormal MR configuration of asymmetric shock waves is computationally confirmed over a double-wedge geometry ͑Fig.