Arranging the Surface

Next we produce a single graphics object with  eight copies of the computed patch. W do this by applying reflections to the patch. As some reflections reverse the orientation, we correct this by reversing the order of the points in the respective polygons:

[Graphics:../Images/index_gr_28.gif]

First the reflection about the  y=x line:

[Graphics:../Images/index_gr_29.gif]

Then the four copies obtained by reflecting about tbe coordinate planes:

[Graphics:../Images/index_gr_30.gif]

If you don't want to see the grid edges:

[Graphics:../Images/index_gr_31.gif]
[Graphics:../Images/index_gr_32.gif]

[Graphics:../Images/index_gr_33.gif]

Finally, here is an GLExplorer version:

[Graphics:../Images/index_gr_34.gif]
[Graphics:../Images/index_gr_35.gif]


Converted by Mathematica      January 2, 2000