This proposal forms part of our project to investigate the implications of non-trivial real-space topology in multi-k magnetic structures. We are here focusing on the rare earth intermetallic TmCu. On the seemingly uncomplicated premise of a simple cubic lattice of large Tm3+ magnetic moments develop magnetic phase diagrams of rarely seen complexity. Our interest in the clarification of these magnetic states is fuelled mainly by our initial observation of large unconventional Hall signals associated with distinct phase pockets. We have recently performed a first part of this single crystal neutron diffraction study using reserve day beam time. This experiment has been highly successful and the WISH high field setup has proven to be uniquely suited to our needs. We here propose to complete this study by investigating our sample in the remaining two high-symmetry field orientations.