ABSTRACT
A coherent scheme is possible in all cases although discrepancies between the grid and irregularities in the structure are common. This chapter aims to ascertain whether there is a degree of correlation between the geometric system proposed and authenticated drawings of plans of abbeys and cathedrals dating from the fourth to the fifteenth centuries. The geometric constructions display a systematic evolution through time, which is clearly demonstrated by the increasing multiplicity of geometric connections, from rudimentary early examples such as St Gall and Cologne to the complexity of Durham and Toulouse. The architectural affinity between Winchester and Ely, especially apparent when their original layouts are restored, is fully matched by their geometric similarities. A strong architectural resemblance between Tewkesbury and Gloucester may be contrasted with their geometric differences. In a category of geometric harmony, groups of compartments constructed from different Platonic angles appear to combine with each other to within 99.65% accuracy.
