The field of geometric computing and digital fabrication is rapidly evolving, with a focus on developing innovative methods for shape modeling, analysis, and fabrication. Recent research has explored the use of variational optimization, machine learning, and physics-based simulations to improve the accuracy and efficiency of geometric computations. Additionally, there is a growing interest in digital fabrication techniques, such as 3D printing and CNC milling, which enable the creation of complex shapes and structures with high precision. Noteworthy papers in this area include MATStruct, which proposes a novel optimization framework for computing the medial axis transform, and REACT3D, which presents a scalable zero-shot framework for converting static 3D scenes into simulation-ready interactive replicas. Other notable works include PhySIC, which introduces a framework for physically plausible human-scene interaction and contact reconstruction, and VPREG, which proposes a novel diffeomorphic image registration method based on the variational principle grid generation method. These advances have the potential to impact a wide range of applications, from computer-aided design and manufacturing to robotics and virtual reality.