DanA
I love the fractal I call the map-of-France (but which RWG can probably> correct my terminology as he may have done in the past): [...]> BUT there is a lot of choice in how 6 copies of each rosette are> placed around itself, so this method can give a plethora of> different curves in the limit. (Probably continuum many, given> a countable number of discrete choices.) Yow, I clean forgot those. And every one has its own flowsnakoid spacefill <http://gosper.org/flopnoflop.png>.
joerg>
I recently spammed some short routines, one of them would> produce what is an p.94 of the fxtbook:>> bool bit_dragon3_turn(ulong &x)> [...]>> For the picture one has to replace each move by 120 degs> by two moves by 60 degs.>> The picture you made certainly reminded me of it.
Not to mention http://www.tweedledum.com/rwg/7posies.bmp . rwg>
Neil, Corey, and I (over two sessions) worked out how, with tiles of two>> solid colors,>> to map a fill of the flowsnake (Gosper) curve onto a hex>> grid,<http://gosper.org/hexflo.png>>> Nice!>>> a staggered square grid <http://gosper.org/staggerflo.png>,>> and a square grid <http://gosper.org/gridflo.png> wherein squares are>> considered joined at their NE and SW corners but>> not the other two. The illustrations are of three flowsnakes joined in a>> triangle to create>> a closed curve.
If you have normal vision, you probably don't perceive gridflo.png as a flowsnake unless you squint or stand far away. And if you're astigmatic like me, you may see zebra stripes instead! I made an animated gif <http://gosper.org/gridrot.gif> (2 MB) of the thing continuously rotating. Borrow someone's cylindrically correcting specs (or remove your own). The alternating effect is strong, at least for me. --rwg