The attached image shows 15 bivariate rational Bezier patches wrapped around a
torus with a slightly smaller minor radius. The patches are triangle meshes.

The gaps between the patches are there because the patches are not created with
u and v going from 0.0 to 1.0, but from 0.04 to 0.96.

The size of the control grid for each patch is 3 in both the u-direction and the
v-direction, so each control grid consists of 9 points.

The makes the Bezier blending functions for each grid to be quadratic (in the
numerator and the denominator) in both the u-direction and the v-direction.

In this image the black stripes in the patches are made with pigments where an
object pattern controls the colors.

--
Tor Olav
http://subcube.com
https://github.com/t-o-k

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Attachments:
Download 'test_rationalbezier_18.png' (704 KB)

Preview of image 'test_rationalbezier_18.png'

"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> The attached image shows 15 bivariate rational Bezier patches wrapped around a
> torus with a slightly smaller minor radius. The patches are triangle meshes.
>
> The gaps between the patches are there because the patches are not created with
> u and v going from 0.0 to 1.0, but from 0.04 to 0.96.
>
> The size of the control grid for each patch is 3 in both the u-direction and the
> v-direction, so each control grid consists of 9 points.
>
> The makes the Bezier blending functions for each grid to be quadratic (in the
> numerator and the denominator) in both the u-direction and the v-direction.
>
> In this image the black stripes in the patches are made with pigments where an
> object pattern controls the colors.
>
> --
> Tor Olav
> http://subcube.com
> https://github.com/t-o-k

Cool! I imagine turning this in to an animation. Peeling it like an orange.

Have Fun!

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