Technology could sensitize end-users to preservation of cultural heritage while stimulating more interest based on a greater involvement. Our approach to this goal is based on a novel gamification and story-telling based on scientific foundations. At the same time, this application can offer the pro-user an interactive visualization suitable to study and verify new theories about the artifacts both on their current state and on its 3D reconstruction, but, at the same time, design a workflow capable to integrate different optimization techniques to adjust data depending on different scenarios. This leads to a unified system able to adapt itself to external requirements in a semi-automatic fashion. Finally, new ways of playful interaction, based on simple mathematical operations, were investigated. The second-named author is partially supported by MIUR Excellence Department Project funds, awarded MIUR to the Department of Mathematics, University of Rome Tor Vergata, CUP E83C18000100006.