Mechanical systems can involve complex assemblies with many interdependent parts. Algorithms must manage these relationships and ensure that changes to one component do not adversely affect the entire assembly.
It often involves optimization to achieve the best performance with the least material or energy use, which requires complex algorithms that can navigate trade-offs between competing design goals.
Algorithms should anticipate wear from use, factoring in material fatigue and design impacts on component durability.

One of the most significant challenges in creating geometric algorithms is ensuring the utmost precision required for mechanical components, while concurrently guaranteeing that the designs are practical for production and can resist the physical strains they will be subjected to.