[math-fun] Hallowe'en spacefill
Simply sampling Mandelbrot's Kochfill at triple frequency makes a nice spiderweb. gosper.org/halloween.png --rwg Re Cambridge U. Press, Finch's Mathematical Constants is certainly a marvel.
Taking half frequency instead (every other point) (at higher order), gosper.org/kochlea7^6.png gosper.org/kochlea7^6.svg You may need Inkscape to zoom and pan the svg, and you may need a new Inkscape for Mavericks. Note: All angles are multiples of π/6, including π/2 in bursts of five. (No π/4.) --rwg Eight hours?! This is that disastrous caching performance NeilB and I reported earlier. Clearing and redefining Julian's piecewiserecursivefractal (underlying kochlea) probably would have helped a lot. On Sat, Sep 20, 2014 at 5:14 AM, Bill Gosper <billgosper@gmail.com> wrote:
Simply sampling Mandelbrot's Kochfill at triple frequency makes a nice spiderweb. gosper.org/halloween.png --rwg Re Cambridge U. Press, Finch's Mathematical Constants is certainly a marvel.
Pretty please, could you make an effort to be better understandable to (semi-)complete idiots like me? I just discovered by accident that you found Ventrella's asymmetric order 7 curve (triangular grid) like 40 years ahead of him... (1970's vs. 2012). http://gosper.org/IMG_0245.JPG And: not everybody speaks Mathematica (some even because they do not like to). Best, jj (and THANKS, btw.!) * Bill Gosper <billgosper@gmail.com> [Sep 21. 2014 19:54]:
Taking half frequency instead (every other point) (at higher order), gosper.org/kochlea7^6.png gosper.org/kochlea7^6.svg You may need Inkscape to zoom and pan the svg, and you may need a new Inkscape for Mavericks. Note: All angles are multiples of π/6, including π/2 in bursts of five. (No π/4.) --rwg Eight hours?! This is that disastrous caching performance NeilB and I reported earlier. Clearing and redefining Julian's piecewiserecursivefractal (underlying kochlea) probably would have helped a lot.
On Sat, Sep 20, 2014 at 5:14 AM, Bill Gosper <billgosper@gmail.com> wrote:
Simply sampling Mandelbrot's Kochfill at triple frequency makes a nice spiderweb. gosper.org/halloween.png --rwg Re Cambridge U. Press, Finch's Mathematical Constants is certainly a marvel.
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