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0:10
YouTube
Pau Amaro-Seoane
Topological collapse.
This video visualizes the breakdown of continuous rotational symmetry in the roots of a polynomial. The simulation tracks the roots of the quaternionic equation q^2 + epsilon(t) * i * q + 1 = 0. The video begins with the perturbation strength epsilon at zero. The roots form a perfect, continuous 2-sphere S^2. This structure is upheld by the ...
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