Contributed to the oscar-system/Oscar.jl repository by enhancing the Polyhedral Geometry API, specifically extending the normal_cone function to support multiple vertex indices and an option for calculating either outer or inner normal cones. This work involved algorithm design and applied mathematical concepts to increase the flexibility and accuracy of polyhedral geometry calculations within the Julia language. The feature was developed collaboratively, resulting in a user-facing improvement that supports more robust downstream algorithms and geometry tooling. The changes addressed practical needs in computational geometry, laying a foundation for future extensions and enabling more nuanced geometric analysis in Oscar.jl’s ecosystem.