The realisation of stents for coronary or abdominal artery, as well as ship’s ropes and buttonhole strands, with bifurcations is only possible through a modification of the laying paths during the braiding process. The advent of modern maypole braiding machines, equipped with continuously rotating horngears and controllable switches, has enabled the production of highly intricate braids comprising an arbitrary number of laying path alterations along the final product. It is essential to plan the individual switch operations with great care in order to avoid collisions. In this paper, we present a novel approach to mathematically verify whether two carrier arrangements can be converted into one another. To illustrate, consider a theoretical braiding machine with a single horngear. It is evident that the braiding pattern of two adjacent carriers cannot be converted into a pattern with a free slot between them. This incompatibility is not limited to a few combinations of carrier arrangements; it extends to numerous non-obvious combinations of carrier arrangements. Our novel algorithm runs on standard hardware, empowering users and scientists to design highly complex braids without the pitfall of attempting to create braids with incompatible carrier arrangements.