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We perform real-time stereoscopic wide-area imaging of a ferroelectricphase-transition in KTN:Li. Spontaneous polarization is observed to form athermally hysteretic 3D lattice of mutually interlinked closed-flux patternsthat spans the entire sample. Results are compatible with a supercrystal of$N=4$ topological texture defects arising as the three-fold spatial andone-fold time-inversion symmetries are simultaneously broken. Each lattice siteof the texture supercrystal emerges as the projection in actual space of anS$^3$ hypersphere, an extended volume Hopf-link fabric able to screen bothvolume charge and ferroelectric strain.

Evidence of hyperdimensional topological defects in a ferroelectric supercrystal phase-transition