* Bill Gosper <billgosper@gmail.com> [Sep 02. 2014 08:16]:
Jörg>* Bill Gosper <billgosper@gmail.com> [Sep 01. 2014 08:00]:
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Staggering. So somewhere in all that are these three "sevens" gosper.org/IMG_0245.JPG gosper.org/IMG_0246.JPG gosper.org/IMG_0247.JPG
Yes, see http://jjj.de/tmp-rwg/ Indeed there are 3 shapes of order 7: http://jjj.de/tmp-rwg/search-r07-curves.txt here a "same = #" means that the shape already appeared at the earlier curve (named "R07-#"). So the images cited above where plotted in the 1970s? As an extra here is order 13 (there are 15 shapes), see http://jjj.de/tmp-rwg/search-r13-curves.txt Eyeballing http://jjj.de/tmp-rwg/all-r13-curve-decompositions.pdf should be enjoyable.
(hardcopied in the 70s, pre-laser.)
Also, did you notice this way of mis-teardropping the France fractal? gosper.org/jelly7.bmp
Never heard of the term "France fractal". Dropping the left red part in http://gosper.org/jelly7.bmp gives "Gosper's island", right?
Lastly, I had forgotten about these two teardroppings of Mandelbrot's seven Snowflake recursion: gosper.org/trozeImage8.gif gosper.org/trozeImage13.gif
Neat!
Maybe someone can do his thirteen, but I can't do it in my head.
I just found this: http://www.meden.demon.co.uk/Fractals/frozenteardrop.html .
Yes, I know this one. Sadly, the recipes are (as almost always) left in the dark. Btw. many of the images given are the generalization of the unit square with complex numeration systems (such as the Heighway dragon with radix -1+i and digits 0 and 1). Best, jj
Jörg> [...]