Visually Appealing Proportion

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• golden ratio (3)
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1.How to Create Fibonacci Patterns in Design?[Original Blog]

The Fibonacci sequence is a mathematical pattern that appears in various natural forms and can be used in design to create visually appealing patterns. The sequence involves starting with 0 and 1, and then adding the two numbers together to form the next number in the sequence. This pattern of adding the last two numbers in the sequence continues infinitely. By using this sequence in design, designers can create patterns that are both visually stunning and mathematically sound.

One way to create a Fibonacci pattern in design is by using the Golden Ratio, which is a mathematical ratio derived from the Fibonacci sequence. The Golden Ratio is approximately 1.61803398875 and can be found by dividing a line into two sections so that the longer section divided by the smaller section is equal to the ratio of the whole line to the longer section. This ratio can be used to create aesthetically pleasing designs, as it is believed to be the most visually appealing proportion.

Here are some steps to create a Fibonacci pattern in design:

1. Determine the size of the canvas or area where the pattern will be placed. This will help determine the scale of the pattern.

2. Choose a shape or object to use as the basis of the pattern. This could be a rectangle, a circle, or any other shape that can be repeated to create the pattern.

3. Divide the shape into smaller sections using the Golden Ratio. For example, if the shape is a rectangle, divide the longer side by 1.618 to find the shorter side.

4. Repeat the shape or object in a series, using the Fibonacci sequence as the number of repetitions. For example, if the sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc., then the pattern would repeat the shape 0 times, then 1 time, then 1 time again, then 2 times, then 3 times, and so on.

5. Adjust the size and position of each shape or object to create a visually appealing pattern. This can be done by changing the size or rotation of the shapes, or by changing the spacing between them.

For example, a Fibonacci pattern could be created using a series of circles that are progressively smaller and placed in a spiral pattern. By using the Golden Ratio to determine the size and spacing of each circle, and by repeating the pattern using the Fibonacci sequence, a visually stunning pattern can be created.

Overall, incorporating the Fibonacci sequence and the Golden ratio into design can help create patterns that are both beautiful and mathematically sound. By following these steps and experimenting with different shapes and objects, designers can create unique and visually appealing patterns that are sure to catch the eye.