Filled Gosper curve
- To: mathgroup at yoda.physics.unc.edu
- Subject: Filled Gosper curve
- From: Michael.Trott at physik.tu-ilmenau.de
- Date: Tue, 1 Dec 1992 16:23:32 +0000
Hi MathGroup,
I have a little graphics problem.
Say you have the coordinates of a hexagonal Gosper curve..
Displaying it with Show[Graphics[Line[ GosperCurve[i]]]]
works fine for orders up to 5. (More is very time and memory consuming.)
Now I would like to "fill" the GosperCurve like in
M.Gardner: PENROSE TILES TO TRAPDOOR CIPHERS (Freeman 1989)
on page 38. Up to order three the Following works
Show[Graphics[Polygon[FilledGosperCurve[i]]]].
Here FilledGosperCurve is GosperCurve and four outer vertices
of the "rectangle".
But order 4 , which has 2405 verices (order 3 has 344)
gives a very hard crash on my Mac IIfx with Mma 2.1.
Now my question. Is there an upper bound for the number of
vertices of an 2d- Polygon. Is it caused because the resulting filled area is
higly branched?
It seemed to me that the crash is caused by the PostScript interprete,
Show[Graphics[Polygon[FilledGosperCurve[4]]],
DisplayFunction->Identity]
works well.
Any ideas how to display the fourth order?
Thanks for an solution
Michael Trott
trott at physik.tu-ilmenau.de