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At the same time, more complex localized non-coplanar magnetic states such as skyrmions are in the research focus due to their intriguing dynamical and transport properties. Recently, a conceptual shift has occurred to envision the use of such magnetic defects not only in one-dimensional race track devices but also to exploit their unique properties in two-dimensional networks. Here we use local strain in a collinear antiferromagnetic film to induce a complex domain wall network. Using spin-polarized scanning tunneling microscopy we characterize the different building blocks of the network – ranging from collinear magnetic domains, over non-collinear domain walls, to non-coplanar localized domain wall junctions – on the atomic scale. We find that the triple domain wall junctions exhibit a structural handedness. The origin is an exchange-driven lateral relaxation as explained using first-principles calculations. 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