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картинки по выходным: stevejtrettel.site/research/algebraic-starscapes/
«Take every polynomial with integer coefficients up to some degree, find its complex roots, and draw a dot at each one. Size the dots so that simple polynomials get big dots and complicated ones get small dots, and measure sizes in the hyperbolic metric of the upper half plane. The result is a starscape: the plane fills with beaded necklaces of disks that subdivide it into ever finer regions, and around each large dot the smaller ones spiral like the arms of a galaxy.»
«What I like most about this project is, honestly, where it came from. We started by asking what made an image look interesting, without trying too hard to define interesting, and chasing that turned out to be a reliable path to mathematics. (…)»
см. тж. arxiv.org/abs/2008.07655
«Take every polynomial with integer coefficients up to some degree, find its complex roots, and draw a dot at each one. Size the dots so that simple polynomials get big dots and complicated ones get small dots, and measure sizes in the hyperbolic metric of the upper half plane. The result is a starscape: the plane fills with beaded necklaces of disks that subdivide it into ever finer regions, and around each large dot the smaller ones spiral like the arms of a galaxy.»
«What I like most about this project is, honestly, where it came from. We started by asking what made an image look interesting, without trying too hard to define interesting, and chasing that turned out to be a reliable path to mathematics. (…)»
см. тж. arxiv.org/abs/2008.07655
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