  We report the discovery and direct visualization of skyrmion clusters with
mutually-orthogonal orientations of constituent isolated skyrmions in chiral
liquid crystals and ferromagnets. We show that the nascent conical state
underlies attracting inter-skyrmion potential, whereas an encompassing
homogeneous state leads to the repulsive skyrmion-skyrmion interaction. The
crossover between different regimes of skyrmion interaction could be identified
upon changing layer thickness and/or the surface anchoring. We develop a
phenomenological theory describing two types of skyrmions and the underlying
mechanisms of their interaction. We show that isolated horizontal skyrmions
with the same polarity may approach a vertical isolated skyrmion from both
sides and thus constitute two energetically-different configurations which are
also observed experimentally. In an extreme regime of mutual attraction, the
skyrmions wind around each other forming compact superstructures with
undulations. We also indicate that our numerical simulations on skyrmion
clusters are valid in a parameter range corresponding to the A-phase region of
cubic helimagnets.
