In the present study, we analysed the laser-scanned point cloud of the stellar vault
of the Inner City Parish Church of Budapest's Matthias oratorio. Our analysis concerned
the global geometry of the rib network, as well as the webbing. During the study of
the rib system, we reconstructed a probable construction method of the late 15th –
early 16th-century vault, which seems to be a self-contained construction system in
regard to the rib system's plan, the height of the junction points and the curvature
of the individual ribs. We found, that to the latter the widely known "Prinzipalbogen"
theory applies, however, the "theory of the longest route", which is often mentioned
together with the former, most likely was not used. Mapping the webbing and the ribs
allowed us to examine the building technique of the webs too.
