North Rose Window at Chartres Cathedral and the Golden Rectangle

Successive Golden Rectangles dividing a Golden Rectangle into squares (Rose window).

The Cathedral of Our Lady of Chartres, is a Roman Catholic cathedral located in Chartres, about 50 miles southwest of Paris, is considered one of the finest examples in all France of the Gothic style of architecture.

The cathedral has three large rose windows: one on the west front with a theme of The Last Judgment, one on the north transept with a theme of the Glorification of the Virgin, and one on the south transept with a theme of the Glorification of Christ.

A Rose window is often used as a generic term applied to a circular window, but is especially used for those found in churches of the Gothic architectural style and being divided into segments by stone mullions and tracery. In northern France, a rose window is usually the central feature of the facade. The transept facades commonly contain rose windows as well. Source: Wikipedia: Chartres Cathedral.

Sacred geometry is geometry used in the design of sacred architecture and sacred art. The basic belief is that geometry and mathematical ratios, harmonics and proportion are also found in music, light, cosmology. This value system is seen as widespread even in prehistory, a cultural universal of the human condition.

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A golden rectangle is a rectangle whose side lengths are in the golden ratio, one-to-phi, that is, approximately 1:1.618. A distinctive feature of this shape is that when a square section is removed, the remainder is another golden rectangle, that is, with the same proportions as the first. Square removal can be repeated infinitely, which leads to an approximation of the golden or Fibonacci spiral.
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