rounding error in cubic Beziers?

Hi folks,

 

In the file at http://cs.sru.edu/~ddailey/SwirlRoundPat.svg , I think there
should have no gaps between the tiles in the four-tile tessellation. Do make
the gaps visible and truly annoying, I've animated a pattern underneath.
You'll note that, as probably expected, the gaps are most pronounced at
points of maximum change in slope of the curve.

 

Before I raise this question of whether or not these gaps should be
"acceptable" (I rather think they shouldn't be, since they are wider than a
pixel and reflect rounding error, I think, in the calculation of the
coordinates of the Bezier curves) I wanted to see if there are magical
controls that could be applied to minimize the problem.

 

I tried shape-rendering="geometricPrecision" on the single path (re-used
rotated, grouped and reused again) thinking that that might tell browsers
that I really don't want the gaps in my tiling, but I haven't used that
before and am not sure I did it right, or if, in fact, it actually does
anything.

 

See also http://cs.sru.edu/~ddailey/fading/slides/animSwirl2c.svg for a fun
use of this  particular tessellation.

 

Cheers

David