In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the left illustrates the geometric relationship.
Expressed algebraically, for quantities a and b with a > b > 0,
The golden ratio is often denoted by φ (the Greek letter phi), after Phidias, the Greek sculptor and architect who is said to have used it. A golden rectangle is a rectangle whose side lengths are in the golden ratio, 1:φ, and whose longer side is a+b. A golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio.
So, how do you make a golden ratio in Photoshop?
First, you need to find the width and height of your rectangle. To do this, you can use the “Ruler” tool. Once you have those measurements, you need to divide the width by 1.61803398 (which is equal to φ) to find the length of your new sides.
PRO TIP: If you are not careful, you can end up with a distorted image.
Next, you need to create your new rectangle. To do this, go to the “Shape” tool and select “Rectangle.” Then, click and drag your mouse to create a rectangle with sides that are the new length that you just calculated.
Finally, you need to adjust your spiral. To do this, go to the “Pen” tool and select “Spiral.”
Then, click and drag your mouse to create a spiral with a growth factor of φ. And that’s it! You’ve now created a golden rectangle and spiral in Photoshop.
Conclusion:
Now that you know how easy it is to make a golden rectangle and spiral in Photoshop, try incorporating these shapes into your own designs. You might be surprised at how well they compliment other elements.
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