home *** CD-ROM | disk | FTP | other *** search
- Help File For Ohno L-Systems
- ----------------------------
-
- Symmetric Space-filling Fractal Curves
-
- John Greening
-
-
- Most people would be very happy to have just one or two space-filling
- curves named after them, e.g. Gosper, Hilbert and Peano. However, Yoshio
- Ohno and Koichi Ohyama have published a whole catalogue of symmetric self-
- similar space-filling curves in the Journal of Recreational Mathematics,
- Vol.23, pp161-174, 1991. In that paper they draw the generators of their
- curves and I have used a simple L-System program to enable the full fractal
- curves to be plotted on an Archimedes.
-
- In general the generators are very complex having up to 49 steps. Those
- based on a square grid start with an "S" and those on a triangular grid
- start with a "T". The number indicates the steps in the generator and a
- lower case letter is used to distinguish between otherwise similar curves.
- (The curve T7a2 is in fact the same as the Gosper fractal).
-
- John Greening
- 15 Pentland Crescent
- Edinburgh, EH10 6NS
-
- Adapted for !Fractal by Mike Curnow.
-