Procedural Geometry as the Design Constant in the Chapel of the Holy Shroud

This paper examines the intersection of structural innovation and procedural geometry in Guarino Guarini's Chapel of the Holy Shroud. Analyzing a unique stereotomic device, this research investigates how Guarini bypassed traditional domes to create a specific discontinuous geometry, with symbolic layers evoking wonder. The study moves beyond the traditional debate of prospective acceleration to propose a generative logic rooted in proportional reduction and complex surfaces. Results are discussed by coordinating Guarini's treatises and drawings with VPL-implemented parametric models. Arches were modeled as elliptical elements based on a hexagonal layout, enabling precise representation and digitally simulating Guarini's plan-to-elevation workflow. The research confirms that Guarini's geometry serves as the "constant" of his logic, bridging the gap between speculative mathematics, symbolic intent, and the rigorous demands of stereotomic fabrication.