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Geometric Progression

Auteur:Henk Hietbrink

A succesion of polygons with geometric progression

The Cathedral of Burgos has mathematical foundations. The architects were aware of mathematics. The book "Teseros Matematicos de la Catedral de Burgos" explains the mathematics behind its architecture. There is a lot of golden section, not by accident but deliberately included in the master plan. The shape of the apse and the ambulatory, for example, is based on a regular decagon. Exercises:
  1. Find an expression for the geometric progression of polygons
  2. For a decagon, express the golden ratio factor φ in trigonometric terms such as cosines (or sines)
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Detail of the plan of the apse and ambulatory

Detail of the plan of the apse and ambulatory
Drawing from "Teseros Matematicos de la Catedral de Burgos"

Plan of Burgos Cathedral

Plan of Burgos Cathedral

Glossary

Glossary
To keep it simple, you enter on the west side of the cathedral, you walk through the nave and you walk around the choir. To be precise, at the end of the choir is the apse and the processional way on the east side is the ambulatory. So the decagon goes around the apse and the ambulatory.

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