A new mutually pumped phase-conjugate mirror configuration is demonstrated in barium titanate crystals, in which the beams travel in a geometrical path, similar to the outline of a fish's head. This configuration has a fast (similar to 1-s) response time, for input beam powers of 56 mW, after which a stable phase-conjugate reflectivity of similar to 28% is attained. The tolerance of the output to both angular and positional misalignment is assessed. Two detailed images were simultaneously phase conjugated, and it was found that 125-mu m features could be clearly resolved without cross talk. We tentatively suggest possible mechanisms for this configuration.