Gosper curve

 From: bemfarmer 13 Nov 2016  (1 of 6)
 The Gosper curve is a recursive, space filling, fractal curve. https://spacefillingcurves.wordpress.com/ https://kilin.clas.kitasato-u.ac.jp/museum/gosperex/343-024.pdf Orders 0 through 3 were generated manually with MoI, fairly easily using rotations and scales and copies and more rotations. A script is being attempted, which would allow for rounded edges. EDIT: The command Orient, Line/Line performs the copy align and scale function desired! It is necessary to deal with directed line segments, "arrows," not just a polyline. I was thinking of using something like: genseg0.head, genseg0.tail? Or something like part of a half edge data structure? Red is the "Initiator" arrow line segment, which is order 0. Blue is the Generator curve, of order 1, with 7 arrow line segments. Radiant Orchid is the order 2 curve, with arrow heads deleted, and has 7*7 = 49 segments. Emerald is the order 3 curve, with arrow heads deleted, and has 7*7*7 = 343 segments. White is the triangle lattice. - Brian There are also other Generalized Gosper curves. I'd like to router the pattern on a slab of wood... EDITED: 13 Nov 2016 by BEMFARMER Attachments:

 From: bemfarmer 13 Nov 2016  (2 of 6)
 8176.2 In reply to 8176.1 How about polyarrow as a name for a polyline with directed line segments? Or polyvector. - Brian So a directed line segment is a "vector," more or less. EDITED: 13 Nov 2016 by BEMFARMER

 From: bemfarmer 13 Nov 2016  (3 of 6)
 Updated markdown document. Understanding of poly line segments improved. MoI lines have start and end points already! Orient line/line command will likely be perfect for the script... The Orient line/line command can do copy, scale, and align. - Brian