Geometry in the Real World

Geometry in the Real World: Cusco Main Square, Plaza de Armas, Inca City, Peru

Successive Golden Rectangles dividing a Golden Rectangle into squares (logarithmic spiral known as the golden spiral).


Cusco, Main Square, Plaza de Armas
Cusco is a city in southeastern Peru, near the Urubamba Valley of the Andes mountain range. Located on the eastern end of the Knot of Cuzco, its elevation is around 3,400 m (11,200 ft).

Cusco was the site of the historic capital of the Inca Empire and was declared a World Heritage Site in 1983 by UNESCO. It is a major tourist destination and receives almost 2 million visitors a year.

The Plaza de Armas of Cusco, known as the "Square of the warrior" in the Inca era, has been the scene of several important events in the history of this city, such as the proclamation by Francisco Pizarro in the conquest of Cuzco. Similarly, the Plaza de Armas was the scene of the death of Tupac Amaru II, considered the indigenous leader of the resistance. The Spanish built stone arcades around the plaza which endure to this day. The main cathedral and the Church of La Compania both open directly onto the plaza. Source: Wikipedia: Cusco.

Golden rectangle
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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Cuzco, Cusco Main Square, Plaza de Armas, Peru, Inca Capital and Golden Rectangles

 

 

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