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Today restoring ancient ‘‘camera obscura sundials’’ by drilling holes in\udbuilding fac¸ades appears as an overly intrusive intervention in historical architecture.\udFor this reason, our study proposes an innovative, low-cost gnomonic instrument,\udcapable of adapting to any type of relationship between the fac¸ade where the\udoriginal gnomonic hole was located) and the sundial on the floor. The tool that we\udhave designed allows incoming sunlight to be caught by a reflection system of flat\udmirrors, appropriately tilted, thus producing a solar ray that exits the instrument with\uda different inclination. We created new angular relationships between the gnomonic\udhole and the astronomic data engraved along the sundial in two case studies of\udhistoric sundials that are now inactive and abandoned. The research was conducted\udweaving astronomy and gnomonics with geometry and mathematics, to create a 3D\udmodel to verify, plan and execute the restoration of historic sundials

Geometry and the Restoration of Ancient Sundials: Camera Obscura Sundials in Cava de’ Tirreni and Pizzofalcone