Geometry in the Real World

Tacna Main Square, Plaza de Armas, Peru, Golden Rectangle

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


Tacna, Peru, Main Square, Plaza de Armas
Tacna is a city in southern Peru and the regional capital of the Tacna Region. A very commercially active city, it is located only 22 mi north of the border with Chile, inland from the Pacific Ocean and in the valley of the Caplina River. Initially called San Pedro de Tacna, it has gained a reputation for patriotism, with many monuments and streets named after heroes of Peru's struggle for independence (1821–1824) and the War of the Pacific (1879–1883). Residents of Tacna are known in Spanish as tacneños. Source: Wikipedia: Tacna.

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.
 

Tacna Main Square, Plaza de Armas, Peru, Golden Rectangles

 

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