Title: New fractal curve - harris spiral Post by: cKleinhuis on January 14, 2015, 07:15:44 PM http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/jan/13/golden-ratio-beautiful-new-curve-harriss-spiral?CMP=share_btn_fb
Title: Re: New fractal curve - harris spiral Post by: KRAFTWERK on January 14, 2015, 07:30:06 PM Wow, very interesting and beautiful shape!
Title: Re: New fractal curve - harris spiral Post by: TheRedshiftRider on January 14, 2015, 10:04:58 PM Nice one. Looks like a more elegant version of the dragons curve.
Title: Re: New fractal curve - harris spiral Post by: Tglad on January 15, 2015, 02:52:24 AM Looks like a Pickover stalk type rendering of a tree IFS. I'm interested in what the actual fractal looks like (i.e. when you further iterate (http://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2014/12/3/1417645536681/2d250edc-4700-48ee-b422-611577c8a2db-620x470.png)
just keeping the squares as white and not rendering the spiral). To me it seems like the fractal is a fairly simple (90 degree angles) tree. Title: Re: New fractal curve - harris spiral Post by: billtavis on January 28, 2015, 05:12:23 AM Nice fractal! I did something similar once with L-systems but it was not easy to get nice spirals, certainly no where near the elegance of this solution! I'm not sure if just any ol' 90 degree tree would produce golden spirals. Does anyone know if he's written a paper about it? I searched google but only found news stories (and this forum) |