Answering my own question.

The 3-tuples describe a triangle, the 4-tuples describe a
quadrilateral - 2 triangles sharing 2 vertices.

Go!

=ml=

On Sep 7, 11:50 pm, TeamTeamUSA <miles...@gmail.com> wrote:
> It seems as if the the Graphics3d Object's face_list() returns a list
> of 3-tuples or 4-tuples depending upon which plot3d method you call:
>
> implicit_plot3d - returns an array of 3-tuples
> [[(1.8974358974358974, -0.5641025641025641, -0.28205128205128216),
> (1.9014844804318489, -0.5641025641025641, -0.25641025641025639),
> (1.8974358974358974, -0.57692307692307687, -0.25641025641025639)],...]
>
> parametric_plot3d - returns an array of 4-tuples
> [[(2.0, 0.0, -1.5000000000000011), (1.9917900138232461, 0.0,
> -1.3721228383154951), (1.9475552876659872, 0.93789319526433457,
> -1.4891191653269833), (1.9555829421271671, 0.94175910990139589,
> -1.6278999850572287)],...]
>
> Is this a bug or as-designed?
>
> I'm still looking for documentation on the face_list format. Is this
> all there is? $SAGE_ROOT/devel/sage/build/sage/plot/plot3d/
> index_face_set.pyx
> TIA!
>
> Go!
>
> =ml=
>
> On Sep 5, 11:26 pm, TeamTeamUSA <miles...@gmail.com> wrote:
>
>
>
> > Upon reflection, it looks like the first item of the quadruple is the
> > normal. True?
>
> > Go!
>
> > =ml=
>
> > On Sep 5, 10:36 pm, TeamTeamUSA <miles...@gmail.com> wrote:
>
> > > Apologies if this is a FAQ or is somewhere in the docs; I could only
> > > find this:
>
> > > #http://sagemath.org/doc/reference/sage/plot/plot3d/parametric_surface...
>
> > > What is the format of the Graphics3d Object's face_list()? Here's
> > > sample output:
>
> > > [(2.0, 0.0, -1.5000000000000011), (1.9917900138232461, 0.0,
> > > -1.3721228383154951), (1.9475552876659872, 0.93789319526433457,
> > > -1.4891191653269833), (1.9555829421271671, 0.94175910990139589,
> > > -1.6278999850572287)]
>
> > > It looks like three vertexes and a normal. If so, which of the
> > > quadruple is the normal?
>
> > > Go!
>
> > > =ml=

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