According to Oxford Learner’s Dictionary “Degeneracy” means “The process of becoming worse or less acceptable in quality or condition”.
In geometries, this word is used for shapes that lose their characteristics or that are not generated correctly.
Degeneracies can arise due to issues in geometry (parametric) or topology. eg:
Small edge length — which has a finite length and is smaller than the coincidence of two points (In open cascade this value is equal to 1e-7 — Precision::Confusion())
Zero edge length
The point at the tip of a shape
What is the difference between topology and geometry?
Those two words; topology and geometry are mentioned in the previous section. Let me explain that briefly.
Most of the CAD models are described using the B-Rep method, which describes shapes using limits, and boundaries. A B-Rep method is composed using two parts.
Topology — Describes how elements are bounded and connected Geometry — Describes how the shape of each element
