Rendering.NET allows you to create a model with simple define a function that generate the vertices.
Two ways of specifying a sphere surface:
by a curve of a circumference prolonged among the y-axis and scaled with a semi circumference function
var sphere1 = new ManifoldModel(
Manifold
.Curve(t => new Vector3(GMath.cos(2 * PI * t), 0, GMath.sin(2 * PI * t)))
.Promote((p, u) => p * GMath.sqrt(1 - GMath.sqr(1 - 2 * u)) + new Vector3(0, 1 - 2 * u, 0)), 32, 32);
by mapping the quad surface to the sphere surface using u and v as parameters
var sphere2 = new ManifoldModel(
Manifold.Surface((u, v) =>
{
float radius = GMath.sqrt(1 - GMath.sqr(2 * u - 1));
return new Vector3(radius * GMath.sin(2 * PI * v), 2 * u - 1, radius * GMath.cos(2 * PI * v));
}), 32, 32);