3D printing technology has revolutionized prototyping and manufacturing in engineering, and its applications are increasingly reaching into interdisciplinary domains such as archaeology and forensic science. This paper presents the design and mathematical solution in the form of the kinematic positional analysis for a personalized spherical 3D printer developed specifically for reproducing human skulls and faces based on digital facial reconstruction (approximation). This involves determining the forward and inverse kinematics of the printing mechanism based on the Denavit Hartenberg parameters as well as describing the novel elements of the printer and explain why they were modeled the way they were. Key novel proposals for the printer include a modified hotbed shape, that eases the printing process of sphere like objects, such as skulls, or reconstructed facial muscle groups on said skull. This work contributes to the preservation of cultural heritage and opens new pathways in the visualization of historical human remains.