Get triangles from solid shape

Hi,

I want to load a solid from a step file, mesh/triangulate the shape and then I want to have the points of every triangle of this (surface) mesh.

I searched in the forum how to do this. I saw hints to use BRepMesh_IncrementalMesh or BRepMesh_FastDiscret, but it is not clear how to use it properly.

What I tried (with the help of OCCutils): I load the step file, I call BRepMesh_IncrementalMesh, I read all face and then all vertices of the single face

auto shape = reader.Shape(1);
BRepTools::Clean(shape);
BRepMesh_IncrementalMesh mesher(shape, 0.2);

for (auto& face : occutils::shape_components::AllFacesWithin(shape))
{
auto vertices = occutils::shape_components::AllVertexCoordinatesWithin(face);
}

If the mesher would have triangulated the soild, then every face in it should have 3 vertices. But the above small examploe doesn't work. I got much more vertices. So my thoughts seems to be wrong, obviously.

I also read about BRep_Tool::Triangulation. but I don't understand why I should use it. If BRepMesh_IncrementalMesh does the job, the solid should be triangulated anyway?!

So my question: how can I reach my goal? I need the triangles of the tesselated solid. The documentation of BRepMesh_IncrementalMesh is not really helpful. It doesn't really describe how it works.

Thanks and best regards

Pellaeon