Fig. 4: Astroid clusters showing relative locations of all the magnets within their respective switching astroids.

The plots show clusters and astroid (black curve) for the pinwheel system shown in (c), when subject to the clock field HA. a astroid cluster plot where each dot represents the total field \({{{{{{{{\bf{h}}}}}}}}}_{i}={{{{{{{{\bf{H}}}}}}}}}_{A}+{{{{{{{{\bf{h}}}}}}}}}_{{{{{{{{\rm{dip}}}}}}}}}^{(i)}\) experienced by a magnet i, projected onto its parallel (h∥) and perpendicular (h⊥) axis. Note that the positive direction of the parallel component is with respect to the magnetization direction of each nanomagnet. The colors in the plot correspond to magnet state. Note that the astroid plot shows location relative to each magnet’s own switching threshold, e.g., orange magnets are far from switching as they are aligned with HA. b closeup of the blue cluster, revealing a sub-group of blue magnets that lie outside the switching astroid and are eligible for switching. These magnets are highlighted in c, and are all found to lie along the vertical and +45° domain walls. The data is obtained from flatspin simulations.