Robotic filament winding of high-performance materials in 3D geometries presents a promising avenue for advancing lightweight and civil engineering. However, the unique challenges posed by filament winding necessitate the development of novel path planning algorithms. Traditional slicing techniques, commonly used in regular 3D printing, are inadequate due to the complexities of filament winding processes and the utilization of materials with exceptional mechanical properties. In this article, we propose an innovative approach to automate 3D coreless robotic filament winding. The key focus of our work lies in overcoming the limitations of conventional algorithms and addressing the specific boundary conditions associated with diverse applications. Our method builds upon Hierholzer's algorithm that is then expanded to accommodate the intricate constraints of filament winding. We achieve a comprehensive path planning framework capable of navigating complex 3D geometries while optimizing the utilization of high-performance materials. This approach allows efficient and precise filament winding, preserving the ultra-strong mechanical properties of the materials. Furthermore, we demonstrate the conversion of the generated path into a robot program. The outcomes of our research offer promising prospects for various industrial sectors, including aerospace, automotive, and construction industry. This facilitates the utilization of cutting-edge materials in engineering applications in the future.