glPolygonOffset Needing Extreme Values

Hi. I'm trying to draw an outline around a polygonal model. Most
examples online do something like this:

draw wireframe model
offset depth by negative values
draw solid model

I tried this, but found some problems with some polygons in the solid
model appearing before closer polygons. This occurred near the edges
of the model, where I suppose the depth slope was high. I want the
solid model to appear normally, so I thought this would make more
sense:

draw solid model
offset depth by positive values
draw wireframe model

In this order, I don't need to worry about getting the parameters to
glPolygonOffset just right.

However, I'm having a really hard time getting those lines pushed back
far enough. If I call glPolygonOffset(10.0f, 10.0f), I get this
image:

http://www.cs.utk.edu/~cjohnson/forothers/teapot_low.png

The lines apparently aren't pushed back far enough, as you can see.
So, I c

all glPolygonOffset with the exorbitant parameters of 100000000.0f and
1000000000.0f, and I get:

http://www.cs.utk.edu/~cjohnson/forothers/teapot_high.png

This is what I want. But just several orders of magnitude less still
yields lines appearing before the solid model. This seems odd.

To make matters more confusing, when I draw the wireframe model, I
have to enable GL_POLYGON_OFFSET_FILL, though the polygon mode is
GL_LINE. (Using GL_POLYGON_OFFSET_LINE has no effect.) This seems to
contradict the red book's description of how glPolygonOffset works.

Here's the relevant code. The model is contained in a display list,
and just contains a call to glutSolidTeapot or a gluSphere.

glCallList(object_list + list_offset);

/* It doesn't make sense to me why polygon offset needs to be on
* for fill mode and not line, but this is the only way it works.
*/
glEnable(GL_POLYGON_OFFSET_FILL);
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
glPolygonOffset(100000000.0f, 1000000000.0f);
glLineWidth(6.0f);
glDisable(GL_LIGHTING);
glColor3fv(rgb);
glCallList(object_list + list_offset);
glLineWidth(1.0f);
glEnable(GL_LIGHTING);
glDisable(GL_POLYGON_OFFSET_FILL);

glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);

zNear and zFar are reasonably set to 0.1 and 200.0f. I think this is
reasonable, isn't it? If anyone can offer any explanation of why I
need to use OFFSET_FILL and why I need such large values to make a
difference, I'd appreciate it.

- Chris

.

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