The Palatine Chapel Revealed: Methods and Tools for the Geometric Interpretation of Aachen Cathedral

Authors

  • Martina Attenni School of Architecture and Design, University of Camerino https://orcid.org/0009-0008-4836-2939
  • Carlo Bianchini Department of History, Representation and Restoration of Architecture, Sapienza Università di Roma
  • Marika Griffo Department of History, Representation and Restoration of Architecture, Sapienza Università di Roma https://orcid.org/0000-0002-0255-8839

DOI:

https://doi.org/10.26375/disegno.17.2025.7

Keywords:

3D surveying and modeling, Early medieval vaults, Palatine Chapel, Aachen Cathedral, stereotomy

Abstract

This study presents an integrated workflow combining digital surveying and 3D modeling for the geometric analysis of architec- tural surfaces, with application to the vaulted system of the Palatine Chapel, the Carolingian nucleus of Aachen Cathedral. Since 2022, a collaborative research initiative has conducted an extensive 3D survey of the entire complex. Based on these data, the investigation addressed the morphology of the vaulted structures, focusing on their geometric genesis. The chapel is  organized around a central octagon with three levels, surrounded by two ambulatories that mediate the transition to a sixteen-sided perimeter. The lower ambulatory, covered by groin vaults alternating quadrangular and triangular bays, produces a highly permeable space. The upper ambulatory is more articulated, defined by semicircular arches that structure spatial rhythm in plan and elevation, with radial chapels and triangular transitional units. The analysis distinguished the geometric principles of triangular and quadrangular vaults by comparing ideal mathematical models with point cloud data. The proposed workflow proved effective in linking constructive knowledge with morphological analysis, clarifying the relation between design intent and built form. The results provide new evidence on medieval construction processes, reference models, and the technical expertise required to achieve
complex vaulted systems.

References

Adam, J.-P. (1994). L’arte di costruire presso i Romani. Materiali e tecniche. Milano: Longanesi.

Attenni, M., Barni, R., Bianchini, C., Griffo, M., Inglese, C., Ley, Y., Pritchard, D., Villa, G. (2023). The Vaulting System of the Palatine Chapel: the Aachen Cathedral World Heritage Site Documentation Project. In Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., Vol. XLVIII-M-2-2023, pp. 119-128. DOI: 10.5194/isprs-archives-XLVIII-M-2-2023-119-2023.

Bianchini, C. (1995). Tecniche medievali di rilevamento. In Disegnare. Idee Immagini, No. 18, pp. 21-28.

Bianchini, C. (2024). Sulle unghie coniche della Cappella Palatina di Aachen / The conical vaults in the Palatine Chapel in Aachen. In Disegnare. Idee Immagini, No. 68, pp. 56-71. DOI: 10.61020/11239247-202468-06.

Bianchini, C., Carnevale, F., Griffo, M. (2024). Algoritmi di best fit applicati allo studio dell’architettura storica / Best fit algorithms applied to the study of historical architecture. In F. Bergamo, A. Calandriello, M. Ciammaichella, I. Friso, F. Gay, G. Liva, C. Monteleone (Eds). Measure / Out of Measure. Devising Knowing Narrating. Proceedings of the 45th International Confeence of Representation Disciplines Teachers. Padova-Venezia, 12-14 settembre 2024, pp. 879-898. Milano: FrancoAngeli. DOI: 10.3280/oa-1180-c515.

Buchkremer, J. (1955). Dom zu Aachen. Beiträge zur Baugeschichte III. 100 Jahre Denkmalpflege am Aachener Dom. Aachen: Wilheln Metz.

Carnevale, F. (2026). Dal rilievo alla forma. Metodologie di best fit 2D e 3D per l’interpretazione dell’architettura costruita. PhD thesis in Heritage Science, tutor Prof. C. Bianchini. Sapienza Università di Roma.

Guarini, G. (1671). Euclides adauctus et methodicus mathematicaque universalis. Torino (Augustae Taurinorum): Typis Bartholomaei Zapatae Bibliopolae S.R.C.

Guarini, G. (1737). Architettura Civile. Torino: Gianfrancesco Mairesse all’insegna di Santa Teresa di Gesù.

Olivier, T. (1852). Cours de Géométrie Descriptive. Première partie, Du point, de la droite et du plan. Paris: Carilian-Goeury et Vor Dalmont.

Pieper, J., Schindler, B. (2017). Thron und Altar, Oktogon und Sechzehneck. Die Herrschaftsikonographie der karolingischen Pfalzkapelle zu Aachen. Berlin: Geymüller Verlag für Architektur.

Raabe, C., Trautz, M., Di Pumpo, C. (2019). Karolingische Tonnengewölbe im Aachener Dom. Baugeschichte, Konstruktion und Technik. Aachen: RWTHpublications. DOI: 10.18154/RWTH-2019-01489.

Radel, W. (2022). Der Aachener Dom: Erneuerung der Innenausstattung 1842 bis 1913. Norderstedt: Tredition.

Salvatore, M. (2012a). Il cono, i suoi assi, le sue sezioni piane, da Apollonio alla rappresentazione matematica. In L. Carlevaris, L. De Carlo, R. Migliari (a cura di). Attualità della geometria descrittiva, pp. 315-324. Roma: Gangemi Editore.

Salvatore, M. (2012b). La stereotomia scientifica in Amédée François Frézier: prodromi della geometria descrittiva nella scienza del taglio delle pietre. Firenze: Firenze University Press. DOI: 10.36253/978-88-6655-279-6.

Ulrike, H., Beckmann, E.M. (2012). Die karolingische Pfalzkapelle in Aachen. Material - Bautechnik – Restaurierung. Worms: Wernersche Verlagsgesellschaft.

Wallis, J. (1648). Cono-Cuneus: or, the Shipwright’s Circular Wedge. That is, a Body resembling in part a Conus, in part a Cuneus, Geometrically considered. London: John Playford for Richard Davis, University of Oxford.

Published

2026-04-01

How to Cite

[1]
M. Attenni, C. Bianchini, and M. Griffo, “The Palatine Chapel Revealed: Methods and Tools for the Geometric Interpretation of Aachen Cathedral”, diségno, no. 17, pp. 59–70, Apr. 2026.

Issue

Section

Structures Made Visible. Drawing as Constructive Revelation