What happens when you take a polynomial and keep changing its coefficients every frame?You get a resonant root field in the complex plane where clusters, arcs and outer flares form, dissolve, and reappear as the system evolves in time.
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x.comMathelirium
What happens when you take a polynomial and keep changing its coefficients every frame?You get a resonant root field in the complex plane where clusters, arcs and outer
Mathelirium (@mathelirium). 387 likes 10 replies. What happens when you take a polynomial and keep changing its coefficients every frame?You get a resonant root field in the complex plane where clusters, arcs and outer flares form, dissolve, and reappear as the system evolves in time.
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The Lemniscate ForgeA moving Complex Polynomial draws invisible Lemniscates across the plane, and the particles ride those level curves like bright metal filings caught in an algebraic current. The roots appear as raised 2.5D knobs, while the field folds around them in velvet bands of gold, copper, ivory, and deep mineral shadow.
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What the hell is this sorcery?A polynomial's roots form two orbiting lobes that rotate in opposite directions around the complex plane.Inside, a unite circle holds scattered filaments where roots flicker and reconnect. The outer lobes periodically compress near the circle and expand again as the move away.
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