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Visualization of Hanson’s n = 4 Fermat-quartic construction, z₁⁴ + z₂⁴ = 1. Sixteen complex patches assemble into a genus-three surface in ℂ² ≅ ℝ⁴ before being projected into the three-dimensional form we can see. Its apparent self-intersections arise from losing one dimension during projection, they are not intersections... show more
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