Jörg>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 < Yeah, that old 3-ring binder probably holds a few more unpleasant surprises for today's curvists. If you think of the "Franceflake" as the unit cell in the complex plane covered by the base&digit system (2 + (-1)^(1/3)) & (-1)^Range[0,5/3,1/3] , that trifid thing is (2 + (-1)^(1/3)) & (-1)^Range[0,4/3,2/3] *{1,1+(-1)^(1/3)} http://www.tweedledum.com/rwg/tlir7.htm I think there's yet another one which is "all boundary", as suggested by this booboo: gosper.org/oops.png jj> And: not everybody speaks Mathematica (some even because they do not like to).< To which SW doubtless replies (cue Zarvox): YOU WILL BE ASSIMILATED.
Best, jj (and THANKS, btw.!)
SW's weakness for tiny programs that do interesting things has metastasized to http://blog.wolfram.com/2014/09/18/introducing-tweet-a-program/ Ugly as it may appear, the power is hard to deny. --rwg * 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.