GoGeometry The Golden Rectangle and The Colossus of Rhodes

Successive Golden Rectangles dividing a Golden Rectangle into squares (Colossus of Rhodes, hand-colored engraving by Martin Heemskerck, 1498-1574).

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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.

Fibonacci numbers (0,1,1,2,3,5,8,13,21,34...) are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci. The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself.

The Colossus of Rhodes was a colossus of the Greek god Helios, erected on the Greek island of Rhodes by Chares of Lindos between 292 and 280 BC. It is considered one of the Seven Wonders of the Ancient World. Before its destruction, the Colossus of Rhodes stood over 30 meters (107 ft) high, making it one of the tallest statues of the ancient world.  

 

The Colossus of Rhodes