We find the static multisoliton solutions of the baby Skyrme model on the two-sphere for topological charges 1< or =B< or =14. Numerical full-field results show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is toroidal, and Skyrmions with higher charge all have point symmetries which are subgroups of O(3). We find that a rational map ansatz yields very good approximations to the full-field solutions. We point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the three-dimensional Skyrme model.
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