#Golden rectangle examples series

#Golden rectangle examples series

We've talked about the Fibonacci series and the Golden ratio before, but it's worth a quick review. The golden rectangle is a rectangle with a side of length X and the other side of length X times phi (1.618) and iteratively adds lines to create squares. It turned out that the ratio 1.325, which gives you the rectangle that creates the Harriss spiral has been written about it is known as the plastic number but Harriss could find no. (In fact, the ratio is a number that begins 1.32472… and carries on forever). Also known as the Golden Ratio, its ubiquity and astounding functionality in nature suggests its importance as a fundamental characteristic of the Universe. The perfect human smile is created when the two front teeth recreate the Golden Rectangle of which you can create a Golden Triangle that in turn creates a.

It turned out that the ratio 1.325, which gives you the rectangle that creates the Harriss spiral has been written about – it is known as the “ plastic number” – but Harriss could find no previous drawings of the spiral. His first concern was that maybe someone else had had, in fact, drawn the spiral “One thing about mathematical discoveries and mathematical art is that even if the process is completely new there is no guarantee that someone else has not already explored it.” “It’s more difficult to make something mathematically satisfying that people haven’t seen before.” “It’s not hard to make something that no one has seen before,” he said. Art historians have found other examples of the golden ratio in the Mona Lisa, the Parthenon in ancient Athens, and the Great Pyramid of Giza. Due to the property stated above, this means that the rectangle with width, a, and length, (a + b), is also a golden rectangle. But he was particularly delighted because he arrived at the spiral using a very simple mathematical process. In the figure above, rectangle Z, with width b and length a, is a golden rectangle. Harriss was overjoyed when he first saw the spiral because it was aesthetically appealing – one of his primary aims was to draw branching spirals like you might find in Islamic art or the work of Gustav Klimt.