Saturday, August 2, 2014

Closed Hilbert Curve

After finding a topic on Continuous Fractal Space-Filling (Hilbert) Curves ...


... in a math-book in the library this week ...


... I started looking for them on the internet and came across a neat tool on the Wolfram-site:

(CDF player: http://www.wolfram.com/cdf-player/ - 200 Mb or so)

But because the curve was open, I asked the developer Dr. Michael Trott if he could ad a closing option, like the picture in the book … and hey! he send me this adjusted cdf-file/code where the loop is closed ... et voil√† there was the Fig. 8 knot, check it out:
http://800million.org/InterpolatingTheHilbertCurveWithABSplineClosed.cdf