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Wow, gorgeous! The structures in this image look like Hilbert curves: http://math.ucr.edu/home/baez/roots/polynomialroots05expi02.png http://math.ucr.edu/home/b
by carbocation 17y ago
Wow, gorgeous! The structures in this image look like Hilbert curves: http://math.ucr.edu/home/baez/roots/polynomialroots05expi02.png http://math.ucr.edu/home/baez/roots/polynomialroots05expi02....
- camccann 17y agoActually, parts of it look frighteningly similar to the Heighway dragon curve: http://en.wikipedia.org/wiki/Dragon_curve http://en.wikipedia.org/wiki/Dragon_curve I can't even begin to fathom what kind of connection there might be, but the degree of resemblance seems to go beyond just coincidence.
- carbocation 17y agoYes! And the dragon curve can be written as an L-system, of which Hilbert curves are a special (space-filling) subset. Great tie-in, thank you.