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<td width="77%"><div align="center"><span class="style1 style2"><font color="#0000A0">faces</font></span></div></td>
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<p class="Normal">The "faces" primitive takes a list
of triangles (position, color, and normal for each vertex). This
is useful for writing routines in Python to import 3D models made
with other 3D modeling tools. You would still need to do lots of
calculations of normals and so on, but you would not need to do C
coding to import an arbitrary model file.</p>
<p class="Normal">The faces object is an array primitive (like curve, convex, etc), so you
have to use a frame to move it around. It consists of a set of one-sided triangles
with user-specified vertices, colors, and normals. The <font color="#FF0000">pos</font>, <font color="#FF0000">color</font>, and <font color="#FF0000">normal</font> attributes look like this:</p>
<p class="program"> pos = [ t0v0, t0v1, t0v2, <br />
t1v0, t1v1, t1v2, <br />
t2v0, t2v1,
t2v2, ... ] </p>
<p class="Normal">where t0v0 is the position of vertex 0 of triangle 0, t0v1 is vertex 1 of
triangle 0, etc.</p>
<p class="Normal">Each face is a one-sided surface. Which side is illuminated is determined
by the "winding" order of the face. When you are looking at a face,
it is illuminated if the order of the vertices in the <span class="attribute">pos</span> list goes counter-clockwise. If you need the triangle to be visible from either
side, you must create another triangle with the opposite winding order.</p>
<p class="Normal">If you don't specify normals at the vertices, the face is illuminated only
by "ambient" light. In order for the main lighting to affect the
appearance, you must specify normals to the surface at the vertices. In the
simplest case, a normal at a vertex is perpendicular to the face, and adjoining
faces have a hard edge where they join. A soft edge can be produced by averaging
the normals to the two faces at their common vertices. The brightness of a
face is proportional to the cosine of the angle between the normal and the
light. </p>
<p class="Normal">If you specify different colors at the vertices of one triangular face, VPython
interpolates across the face, in which case the face is not all one color.
There is a similar interpolation for normals if there are different normals
at the vertices, in which case the face is not all one brightness.</p>
<p class="Normal">The faces object is intended to help with writing model importers and other
new primitives in Python, not for direct manipulation by normal programs.
It is considerably lower-level than any of the other objects in Visual (although
it is not necessarily any faster, at least right now). It is flexible enough
to implement smooth or facet shading, per-vertex coloration, two-sided or
one-sided lighting, etc, but all of these calculations must be made by the
programmer (when setting up <font color="#FF0000">pos</font>, <font color="#FF0000">color</font>, <font color="#FF0000">normal</font>). </p>
<p class="Normal">You can specify a <a href="materials.html">material</a>, but
currently you can not specify opacity for faces.</p>
<p class="Normal">See description of <a href="options.html">Additional
Attributes</a> available for all 3D display objects.</p>
<p class="Normal">For examples of the use of the faces object, see the faces demo programs.</p>
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