The objective of the internship is to perform inverse homogenization of periodic microstructures defined by an implicit function. Specifically, we aim to study implicit functions defined by skeletal structures. Skeletal structures are a powerful tool used in a broad number of scientific fields. Skeletons reduce the dimension of shapes, capture their geometric and topological properties, and seek to understand how these structures encode local and global features. The above properties provide a tight control of the topology and the geometry, which turns out to be crucial for enforcing fabrication constraints for AM. Further details can be found here.