The proportions of the golden ratio pop up in all sorts of places. They are a handy shortcut to make something we seem to innately find pleasingly proportioned. In Nature, the golden spiral abounds across the shell of the nautilus, the spiral of strawberry seeds, the spikes of cacti, and hurricanes. It’s found in the Pyramids and the Parthenon, the Mona Lisa, violins, photography and, very deliberately, in corporate logos. No wonder it’s sometimes called the golden ratio of beauty. There’s a pleasing simplicity to the equation too, where the ratio of the long over the short dimension is the same as both added together over the long dimension.
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