The class of images I refer to as “Swirls” has proved to be the most versatile group that can be used as tiles for Fibonacci spirals. The number of possible variations is infinite — a new Swirl tile can always be created by varying the code slightly and producing a new set of permutations. The process is only limited by the amount of patience one has for adjusting the code and sitting through all the iterations necessary for producing the final tile.

Each tile begins as a simple square with three parallel red, green, and blue stripes. VB code is used to distort the image by a certain amount in a certain direction, and then an equal distortion in the opposite direction by almost exactly the same amount, but not quite. The result is a square with the same three stripes, but slightly wavy rather than with perfectly straight edges.

The process is then repeated, moving to a slightly different point to apply the distortion. This is done over and over, dozens or hundreds of times, to produce the elaborate swirls that are seen in the resulting Fibonacci spiral.

Well over two hundred tiles were created using the above process. The spirals shown below are just a small sample of those produced.

Click on a thumbnail to see the larger image

Swirl #3A

Swirl #3C

Swirl #3H

Swirl #3I

Swirl #4F

Swirl #4K

Swirl #4O

Swirl #4Q

Swirl #5G

Swirl #5M

Swirl #5P

Swirl #6E

Swirl #6J

Swirl #6L

Swirl #7C

Swirl #7D

Swirl #7R

Swirl #2T

Swirl #2V

Swirl #2W

Swirl #6S

Swirl #6V

Based on numerous individual Swirl tiles (sample)

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Fibonacci Spirals: The ‘Swirl’ Pattern

Last Updated February 25th, 2025
Web Page by Ned May
Contact: phoenix <at> chromatism <dot> net
URL http://chromatism.net/phoenix/fiboswirl.htm
All images and text are ©2017 - 2025 by Ned May unless otherwise noted. All rights reserved.

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