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Summarizing our discussions, in the Extended Comment on the Article, that wereceived, we again did not find any general solution of CPP including anymethod of solution of inequalities either. This is rather a confirmation of thespecific nature of the contact criterion and the corresponding solution plusalgorithmic scheme. Surprisingly, the authors started to criticize ouralternative Curve-To-Solid Beam formulation, which is based on the CPP forsurfaces and not based neither on CPP for PTC, nor on CPP for CTC as a closerlook should have revealed. While doing so, the aforementioned authors areapparently not fully following the logic in our paper. Thus, as an example,while criticizing our parallel curves, they claim in several places that it isnot possible to construct any parallel curves with an arbitrary angle betweentangent lines. However, one can easily wind a wire on a cylinder at any desiredangle -- in this case the distance between the axis of a cylinder and themid-curve of a wire will be constant -- solution is, of course, multipleexcluding application of CTC algorithm. We are emphasizing in detail again thefact, that a very general criterion for the existence and uniqueness of the CPPprocedure for Curve-To-Curve algorithm by no means can be derived by performingad-hoc and not consistent mathematical operations.

Response on the "Extended Comment on the Article "Consistent Development  of a Beam-To-Beam Contact Algorithm via the Curve to Solid Beam Contact -  Analysis for the Non-Frictional Case"