Rose window at Strasbourg Cathedral and the Golden Rectangle

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

Strasbourg Cathedral is a Roman Catholic cathedral in Strasbourg, France. Although considerable parts of it are still in Romanesque architecture, it is widely considered to be among the finest examples of high, or late, Gothic architecture.

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: Strasbourg 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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