Mathematica 12.0 for Windows.
Is there a buit-in way to get a surface patch of a sphere for Graphics3D?
In this Graphics3D output, the sphere is only there for backing, and I only need (and want) part of the upper hemisphere under the mesh. The 2D Circle function allows me to draw a segment of a circle between angles. I don't see any similar features for Sphere in 3D.
I have code that can draw smooth surface patches using parameterized functions, but the requires considerable effort, and often doesn't produce the quality that the builtin Sphere function produces. Here's an example.
Edit to add:
I went ahead and used my surface patch code to produced an approximation of what I'm looking for. It's the backing sphere that I want to trim. For example, this graphic uses a spherical cap.
There are defects in it, such as the divots around the rim, and there is a naval at the pole where my patches share a common vertex.
I'm confident that, with enough effort, I can use my patch function to draw any type of surface patch on a sphere, and remove the flaws. I was hoping for something comparable to the functionality of the 2D Circle.