Hi Brian,

interesting read. I attach for you a Peano Gosper Curve with more iterations. Maybe you find it useful. It is done with Shade3D vers. 12 and a preset from Mr Toshiaki Katoh's Math Modeler, which you would probably love... (unfortunately OS X only).

If you want to take a look what his Math plug-in's for Shade3D can do:

http://www.ne.jp/asahi/t/katoh/

it is under the Scripts section and the first link is for the videos.

Best Regards
Stefan

Than you Stefan
- Brian

This gosper curve script uses OrientLineToLine, rather than turtle graphics or L-Systems.
One gosper curve polyline is created, for the current Level.
The maximum level is 5, which takes about 2 seconds. Modifying the code would permit level 6, which takes about 12 seconds.
Level 7, which consists of 823543 line segments, failed to process. Maybe MoI version 4 would process it?

After the script is done, the polyline can be converted to a control point curve, with the script _PolyCurveToCurveBeta.

The script demonstrates scripting.

Documentation may be re-written.

- Brian