For the last one, I am confused, am we supposed to divide the triangles into smaller Equilateral triangles?

How do we determine the "weights" of vertices?

What does it mean for a surface to be differentiable?

I'm also curious to what it means for a surface to be differentiable?

When would we prefer to use a quad mesh as opposed to a triangle mesh?

For the last one, I am confused, am we supposed to divide the triangles into smaller Equilateral triangles?

How do we determine the "weights" of vertices?

What does it mean for a surface to be differentiable?

I'm also curious to what it means for a surface to be differentiable?

When would we prefer to use a quad mesh as opposed to a triangle mesh?