| 1.1 | Andrew Tallon and Robert Mark together in June 2017 | 2 |
| 1.2 | Bourges Cathedral; photoelastic cross-section of choir model by Robert Mark at left, laser-scanned longitudinal section of choir by Andrew Tallon at right | 2 |
| 1.3 | Sens Cathedral; ANSYS finite-element model by Robert Mark, 1986 | 3 |
| 1.4 | Sens Cathedral; laser-scanned 3D model by Andrew Tallon, 2011 | 4 |
| 1.5 | Quadripartite vaulting; finite element model mesh above, and force trajectories, below, by Robert Mark | 4 |
| 1.6 | Notre-Dame Cathedral, Paris; laser-scanned cross-section of choir with equilateral triangle superposed by Andrew Tallon | 5 |
| 2.1 | Robert Mark | 8 |
| 2.2 | Amiens Cathedral; photoelastic patterns in model of nave, by Robert Mark | 9 |
| 3.1 | Andrew Tallon | 12 |
| 3.2 | Beauvais Cathedral, laser scan model by Andrew Tallon, 2013 | 15 |
| 4.1 | Robert Mark in his office, with photoelastic model of Amiens nave | 20 |
| 4.2 | Robert Mark’s polariscope equipment at Princeton | 20 |
| 4.3 | Beauvais Cathedral, photoelastic model of choir section | 26 |
| 4.4 | Hagia Sophia, finite-element model by Robert Mark and Ahmet Çakmak | 31 |
| 4.5 | Joe Alonso and Robert Mark together at Washington Cathedral | 32 |
| 5.1 | Stephen Murray | 36 |
| 5.2 | Amiens Cathedral, computer model from Stephen Murray’s Amiens Trilogy, 1996 | 38 |
| 5.3 | Andrew Tallon, with Leica laser scanner in the nave of Notre-Dame, Paris | 40 |
| 5.4 | Saint-Denis Abbey, photo by Andrew Tallon as seen in Mapping Gothic France | 41 |
| 5.5 | Amiens Cathedral, successive phases of laser-scan model development, by Andrew Tallon | 45 |
| 6.1 | Robert Mark, seen with model of Chartres Cathedral nave in polariscope | 51 |
| 6.2 | Andrew Tallon, Princeton graduation photo, 1991 | 53 |
| 6.3 | Bourges Cathedral, view from roof down staircase on southeast flying buttress of choir | 54 |
| 6.4 | Amiens Cathedral, photoelastic model being pulled laterally by fishing weights to simulate wind load | 56 |
| 6.5 | Noyon Cathedral, caveau phonocamptique, panoramic photo by Andrew Tallon | 57 |
| Comparative plans of four Parisian Early Gothic choirs: Saint-Martin-des-Champs, Saint-Denis, Saint-Germain-des-Prés, and Notre-Dame. Saint-Martin-des-Champs after Deneux 1913 Saint-Denis after Crosby 1987 Saint-Germain-des-Prés modified after Plagnieux 2000, and Notre-Dame after Andrew Tallon and Laurence Stefanon | 77 | |
| 7.2 | Paris, Saint-Martin-des-Champs, basic steps of plan geometry | 78 |
| 7.3 | Paris, Saint-Martin-des-Champs, geometry of plan and section | 81 |
| 7.4 | Saint-Denis Abbey, geometry of crypt plan | 84 |
| 7.5 | Paris, Saint-Germain-des-Prés, geometry of plan and section | 88 |
| 7.6 | Paris, Notre-Dame, geometry of choir plan. Graphic by Robert Bork overlaid on plan by Andrew Tallon and Laurence Stefanon | 94 |
| 7.7 | Paris, Notre-Dame, geometry of choir section | 96 |
| 7.8 | Saint-Denis Abbey, geometry of choir plan and section, with hypothetical superstructure alternatives | 100 |
| 8.1 | Santa Maria d’Alcobaça, satellite view of the monastery | 110 |
| 8.2 | Santa Maria d’Alcobaça, redrawn plan of the medieval monastery | 111 |
| 8.3 | Santa Maria d’Alcobaça, interior view looking east | 112 |
| 8.4 | Santa Maria d’Alcobaça, plan of the church, showing phases and pier forms, (after Cocheril, Études, 1966, p. 247) | 113 |
| 8.5 | Santa Maria d’Alcobaça, reconstructed medieval plan (after Cocheril, Notes sur l’architecture, 1972, fig. 9) with arrows showing location of construction breaks identified by interruptions in the integrity of masonry courses | 122 |
| 8.6. | a) Santa Maria d’Alcobaça, construction break in the 5th bay of the south nave side-aisle. b) Santa Maria d’Alcobaça, construction break at the twelfth bay of the north nave side-aisle. c) Santa Maria d’Alcobaça, construction break above the portal of the west façade | 123 |
| 8.7 | a) Santa Maria d’Alcobaça, water reservoir in seventh bay of the south side-aisle of the church b) Santa Maria d’Alcobaça, redrawn plan of the medieval monastery showing hydraulics | 124 |
| 8.8 | Santa Maria d’Alcobaça, axonometric projection of the church, construction phase 1 | 126 |
| 8.9 | a) Santa Maria d’Alcobaça, axonometric projection of the church, construction phase 2. b) Santa Maria d’Alcobaça, axonometric projection of the church, construction phase 3 | 130 |
| 9.1 | Medieval parishes between the cities of Reims and Soissons | 136 |
| 9.2 | Medieval parishes showing medieval architectural survival | 138 |
| 9.3 | Parish church of Notre-Dame in Rosnay | 139 |
| 9.4 | Parish church Notre-Dame in Saponay. Bibliothèque nationale de France, département Estampes et photographie, 4-VE-374 (14). Étienne Moreau-Nélaton, Recueil. Monuments du département de l’Aisne détruits ou endommagés pendant la guerre de 1914–1918 Roucy à Sermoise | 140 |
| Parish church of Saint-Laurent in Chavonne before World War One. Bibliothèque nationale de France, département Estampes et photographie, 4-VE-378 (4). Étienne Moreau-Nélaton, Recueil. Patrimoine architectural du département de l’Aisne: Arrondissement de Soissons. Bucy-le-Long à Chavonne | 141 | |
| 9.6 | Parish church of Saint-Laurent in Chavonne after World War One. Bibliothèque nationale de France, département Estampes et photographie, 4-VE-374 (4). Étienne Moreau-Nélaton Recueil, Monuments du département de l’Aisne détruits ou endommagés pendant la guerre de 1914–1918: Charèves à Chéry-Chartreuve | 142 |
| 9.7 | Pages from Robert Rouet’s 4th album of photographs and ephemera showing among other things the destroyed Cluniac priory of Binson | 143 |
| 9.8 | Nave, parish church of Saint-Pierre in Crugny. Estève, Georges (1890–1975) | 144 |
| 9.9 | Choir, parish church of Saint-Pierre in Crugny. Estève, Georges (1890–1975) | 145 |
| 9.10 | Crossing, parish church of Saint-Martin in Lagery. Estève, Georges (1890–1975) | 146 |
| 9.11 | Tessellation showing the stylistic characteristics of medieval parish churches | 147 |
| 9.12 | Monastic church of Saint-Yved in Braine | 148 |
| 9.13 | Parish church of Notre-Dame in Vailly-sur-Aisne. Apse and Transept. Estève, Georges (1890–1975) | 148 |
| 10.1 | LiDAR Model of Reims Cathedral | 153 |
| 10.2 | Geometric analysis of vault deformation and change in angles | 154 |
| 10.3 | Geometric analysis of Reims’s elevation | 158 |
| 10.4 | Reims Cathedral, chevet flying buttresses & pinnacles | 160 |
| 10.5 | Diagram of Reims’s choir cross-section with flyers and tas-de-charge | 161 |
| 10.6 | Villard de Honnecourt, Folio 32v, Drawing of choir buttresses at Reims | 165 |
| 10.7 | Villard de Honnecourt, Folio 31v, Drawing of nave elevation at Reims | 168 |
| 10.8 | South Transept, Reims Cathedral | 172 |
| 11.1 | West façade, Reims Cathedral | 175 |
| 11.2 | View from southwest, Reims Cathedral | 176 |
| 11.3 | West façade, north portal, local saints on the right jamb, Reims Cathedral | 176 |
| 11.4 | Saint John the Apostle from the Sainte-Chapelle in Paris (c.1248), Paris, Musée de Cluny, Musée national du Moyen Âge | 178 |
| 11.5 | West façade, north portal, unknown saint, right jamb (1250–1260), Reims Cathedral | 179 |
| 11.6 | Reverse of the west façade, saint John the Baptist accompanied by two prophets, Reims Cathedral | 183 |
| West façade, frame of the north portal, angels and prophets, Reims Cathedral | ||
| 11.8 | North façade of the transept, Paris, Notre-Dame Cathedral | 184 |
| 11.9 | Portal of the south transept, tympanum, saint Stephen’s legend, Paris, Notre-Dame Cathedral | 187 |
| 11.10 | West façade, northwest buttress, relief representing the finding of the Cross, Reims Cathedral | 188 |
| 12.1 | Clermont-Ferrand, Cathedral of Notre-Dame, choir terrace drawings | 194 |
| 12.2 | Clermont-Ferrand, Cathedral of Notre-Dame (a) terrace drawings above chapel of Saint-Bonnet; (b) terrace drawings of arcs and unfinished openwork flyer above chapel of Saint-Austremoine (bays N-14–12) | 197 |
| 12.3 | Clermont-Ferrand, Cathedral of Notre-Dame (a) finished version of openwork flyer (bays N12–10); (b) nave flyer, bay 7 as built | 198 |
| 12.4 | Clermont-Ferrand, Cathedral of Notre-Dame, flying buttresses, choir, north side | 199 |
| 12.5 | Limoges Cathedral of Saint-Etienne, terrace drawings | 200 |
| 12.6 | Clermont-Ferrand, Cathedral of Notre-Dame, photogrammetric model of choir flyer with arc of terrace drawing | 204 |
| 12.7 | A quadrant arch (after Viollet-le-Duc, Dictionnaire, I, 64.) and an over-extended arch | 205 |
| 12.8 | Segments of a quadrant at the top and the Clermont-Ferrand arcs represented at the lower right | 206 |
| 13.1 | Choir Vault at Wells Cathedral, photograph (above) and orthophoto plan from 3D mesh model (below) | 213 |
| 13.2 | Ottery St Mary, photographs of Lady Chapel (top left), choir (bottom left) and nave vaults (top right), orthophoto plans of choir and nave from 3D mesh model (bottom right) | 214 |
| 13.3 | Plans and tables of measurement for the vaults at Wells Cathedral and Ottery St Mary, using intrados lines traced in Rhinoceros 3D | 223 |
| 13.4 | Starcut variations (top), plans and proportions of the southwest choir aisle at Wells Cathedral (upper middle) and stage-by-stage diagrams of grid system (lower middle) and starcut design processes (bottom) | 224 |
| 13.5 | Stage-by-stage diagrams of hypothesized setting out processes for vault plan At Wells Cathedral and Ottery St Mary | 226 |
| 13.6 | Diagrams of measurements (top) and geometrical methods (bottom) used for setting out rib curvatures | 228 |
| 13.7 | Stage-by-stage diagrams of hypothesized setting out processes for rib Curvatures at Ottery St Mary | 231 |
| 13.8 | Stage-by-stage diagrams of hypothesized setting out processes for rib Curvatures at Wells Cathedral | 233 |
| 14.1 | Santa Maria Novella, Florence. View of the nave vaults from below | 239 |
| Santa Maria Novella (1279–1355) The church is laid out on a north/south axis, with the choir to the north | 240 | |
| 14.3 | Hypothetical original plan for Santa Maria Novella. The seven-bay nave is to have open timber roofing, except for the two bays above the choir screen, intended to be vaulted. This plan also includes projected sexpartite vaults in each arm of the transept, never erected | 242 |
| 14.4 | Rivolta d’Adda, Santa Maria and San Sigismondo, (before c.1130). View of nave interior | 244 |
| 14.5 | Santa Maria Novella, 3D model of clerestory showing transverse walls above the vaults. Also included are details of buttresses under aisle roof in Bays 2 and 5 | 247 |
| 14.6 | Santa Maria Novella in the late 19th c. The Upper Cemetery with its 1302 door is visible on the right flank of the nave | 248 |
| 14.7 | Santa Maria Novella, Nave interior towards façade | 249 |
| 14.8 | Santa Maria Novella View along the east aisle wall showing the family tombs of the Upper Cemetery along the base and the buttresses rising above them | 250 |
| 15.1 | Reconstruction of the choir of Notre-Dame, mid 14th century | 254 |
| 15.2 | Fabric accounts, Paris, Archives nationales LL 270 fol. 2r | 255 |
| 15.3 | Pentecost, Book of hours, Paris, c.1420 | 257 |
| 15.4 | Notre-Dame, choir, southeast side | 259 |
| 15.5 | Sainte-Chapelle, “oratoire de Saint Louis” | 260 |
| 15.6 | Israël Silvestre, view of the Hotel-Dieu of Paris, c. 1650 | 261 |
| 15.7 | Narbonne Cathedral, choir | 262 |
| 15.8 | Notre-Dame, choir | 263 |
| 16.1 | Paris, Notre-Dame, view from the southeast | 268 |
| 16.2 | Bourges, Saint-Étienne, view from the southeast | 269 |
| 16.3 | Paris, Notre-Dame, view of the interior facing east | 272 |
| 16.4 | Larchant, Saint-Mathurin, view of the interior facing east | 273 |
| 16.5 | Paris, Notre-Dame, west front | 274 |
| 16.6 | Troyes, Saint-Pierre Saint-Paul, west front | 275 |
| 16.7 | Limbourg Brothers, The Meeting of the Magi, from Les Très Riches Heures du Duc de Berry, ca. 1416 Chantilly, Bibliothèque du château, MS 65, fol. 51v | 278 |
| 16.8 | Jean Fouquet, Lamentation, from Hours of Étienne Chevalier, ca. 1452–1460 Chantilly, Bibliothèque du château, MS 71, fol. 19r | 280 |
| 16.9 | Jean Froissart, Chroniques, 15th century | 282 |
| 16.10 | Grandes Chroniques de France, 15th century | 284 |
List of Figures
In: The Analysis of Gothic Architecture
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