The Beauty of Roots

http://math.ucr.edu/home/baez/roots/

by unwantedLetters • 16 years ago

40 4 16 years ago

math.ucr.edu

RiderOfGiraffes• 16 years ago

Previous submissions:

http://news.ycombinator.com/item?id=1033455

http://news.ycombinator.com/item?id=980043 <- This has some discussion

Panoramix• 16 years ago

Thanks RiderOfGiraffes, I always find your links quite handy. You somehow bring back to my mind Saunt Lora's proposition in Anathem.

nitrogen• 16 years ago

The feathery sections look a lot like images generated by iterated function systems (IFS). I wonder if the roots of some polynomial using parameters of the IFS generator as coefficients are exactly those points that will be drawn by the IFS generator, hence the similar patterns. Seeing the random-looking patterns gradually converge reminds me of playing with IFS parameters until patterns start to form and gradually coalesce into a solid shape.

tgerhard• 16 years ago

This is why I am continually entranced by numbers.

The Beauty of Roots

Related Stories