Strong geometrical frustration in magnets leads to exotic states such as spin liquids, spin supersolids, and complex magnetic textures. SrCu 2 ðBO 3 Þ 2 , a spin-1∕2 Heisenberg antiferromagnet in the archetypical Shastry-Sutherland lattice, exhibits a rich spectrum of magnetization plateaus and stripe-like magnetic textures in applied fields. The structure of these plateaus is still highly controversial due to the intrinsic complexity associated with frustration and competing length scales. We discover magnetic textures in SrCu 2 ðBO 3 Þ 2 via magnetostriction and magnetocaloric measurements in fields up to 100.75 T. In addition to observing low-field fine structure with unprecedented resolution, the data also reveal lattice responses at 73.6 Tand at 82 T that we attribute, using a controlled density matrix renormalization group approach, to a unanticipated 2∕5 plateau and to the long-predicted 1∕2 plateau.high magnetic fields | quantum magnet | field-induced magnetic texturing | density matrix renormalization group | magnetocaloric effect Q uantum paramagnets are Mott insulators where dominant intracell antiferromagnetic interactions lead to a singlet ground state that remains stable for small intercell interactions. The low energy spectrum of triplet excitations is gapped. For systems with uniaxial symmetry, the gap (Δ) is closed by applying a magnetic field gμ 0 H 0 ≈ Δ along the symmetry c-axis (see Fig. 1 A and B). The low-energy degrees of freedom can be mapped onto a gas of hard-core bosons (1). In this description, the external magnetic field plays the role of a chemical potential, and the longitudinal magnetization corresponds to the boson concentration. In systems such as BaCuSi 4 O 6 (2), where Cu atoms are arranged in parallel dimers on a square lattice, the triplets condense in a phase-coherent fluid analogous to a Bose-Einstein condensate. On the other hand, if the kinetic energy is highly frustrated, the repulsion between triplets becomes dominant and leads to crystals with superstructures that are highly sensitive to the concentration of triplets or magnetization (3). These crystalline states correspond to Ising-like orderings-i.e., states with spontaneous modulation of the spin component parallel to the field. The orthogonal-dimer geometry of the Shastry-Sutherland lattice (Fig. 1A) (4) and the ratio of next-nearest to nearest neighbor exchange interactions between the spin-1∕2 Cu 2þ ions, with J 1 ∕J 0 at approximately 0.62 (J 0 ≈ 74 K), make SrCu 2 ðBO 3 Þ 2 a paradigm of frustrated quantum magnetism (5-8). Nuclear magnetic resonance (9) and torque magnetometry (10, 11) measurements have been used in the past to study the magnetic superstructures in SrCu 2 ðBO 3 Þ 2 , but the strength of required magnetic fields has prevented the unambiguous observation of magnetization fractions beyond 1∕3 of saturation. Sensitive measurements for higher concentrations are crucial for model validation. Indeed, given the limited lattice sizes for which the minimal model for SrCu 2 ðBO 3 Þ 2 can be solved under...