Fig. 3: Effect of disorder on the pattern field.

a Image of the left pattern. The twist axis is marked as a green cross. Scale bar is 20 mm. b–d Measurement of the pattern field \({H}_{z}^{p,l}({{{{{{{\boldsymbol{r}}}}}}}})\) of the left pattern at the three elevations za = 2 mm, zb = 3 mm, and zc = 4 mm. The periodic part of the field associated with the antiferromagnetic ordering of the magnetic cubes decays faster with the elevation above the pattern than the disorder field arising from deviations of the saturation of the cube magnetization from the average value.