How to Simulate Fractals in Photoshop

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Have you ever seen those outstanding fractal images with a lot of swirls and colors? Some of those were build simulating fractals or repeating shapes, where each shape is a reduced part of the whole, others were build mathematically. In this tutorial, we’ll create a stylized fractal design using only Photoshop.

Final Image Preview

Let’s take a look at the image we’ll be creating. Want access to the full PSD files and downloadable copies of every tutorial, including this one? Join Psdtuts+ PLUS for just $19/month. You can view the final image preview below or view a larger version here.

Final Click

Video Tutorial

Our video editor Gavin Steele has created this series of video tutorials to compliment this text + image tutorial.

Step 1

Wikipedia define fractals as "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole." There are many ways to create fractals, most involve complex mathematical formulas, or fractal software programs, like Apohpysis for example, but with our good old Photoshop we can simulate the fractals behavior using repeating shapes and some useful keyboard shortcuts.

So, let’s get it started. First we’ll start with a 1600 pixels by 1200 pixels document, it’s huge because I’m planning to use it as a desktop background. Then, show the ruler (Command + R) and change the unit to Percent. Now, draw two guides, one horizontal and the other vertical, and place them in the middle of the document. Next, using the Gradient Fill Tool, draw a radial gradient (#095261 – #000000), which should look similar to the image below.

Step 2

Now here’s the only shape you’ll draw: a circle, yes I’m not kidding, everything starts from a single circle. Draw it using the Ellipse Tool, hold the Shift key to create a perfect circle, and if you want hold the Alt key to draw it from the center. The circle size is 83 pixels by 83 pixels and it’s located in the middle of the document. Now, create a new folder named "Fractal" and place the circle shape inside of it.

Step 3

Let’s add some depth and volume to our shape. First, apply a Gradient Overlay that goes from dark blue to light blue, with a Drop Shadow, 50% Opacity, and a 0px distance, some Bevel and Emboss, including a texture. Just follow the images below.

Step 4

Now duplicate the circle layer by dragging the shape while pressing the Alt key, then merge the circle copy with a new blank layer to keep the style proportional. Resize the copy a little bit and place it 120 degrees from the middle of the document, you can use a triangle as a guide (I drew the triangle using the Polygon Tool).

Place the copy just over one of it’s corners. Repeat this twice to get three small circles around the big circle. Delete the triangle and finally merge the four circles into a new layer called "Fractal 1" (If you want leave a copy of the original vector shape just in case).

Step 5

Here comes the fun part, we’re going to repeat two steps several times. This is the first one, we’ll Duplicate and then Free Transform. To get the right effect we need to use the shortcut Command + Alt + T. This command duplicates the existing image and allows to free transform the copy. Do not click anywhere and go to next step.

Step 6

While holding the Shift key, resize the "Fractal 1 copy" just a little bit, then rotate the copy a few degrees Clockwise. The trick to simulate the fractals is move the Transform center to the left, right, top, or bottom, depending on your needs. This time we’ll move it a lot left. Finally, hit Enter.

Step 7

Now we’re going to use another useful keyboard shortcut. Press Command + Shift + Alt + T to apply Free Transform again once and see the result. What happened? Photoshop takes the previous values of the Free Transform and apply them to the new object. If you repeat this command several times you’ll get a nice fractal swirl. Photoshop creates a new layer each time you apply this command.

Step 8

Now, duplicate the entire "Fractal 1" folder, then select the "Fractal 1 copy" folder and hit Command E to merge the group. Now name the resulting layer "Fractal 2", then hide the original folder. Also, move the "Fractal 2" layer some pixels down and to the right from the middle of the document.

Step 9

Select the "Fractal 2" layer, then apply the Duplicate and Free Transform keyboard shortcut from Step 5 (Command + Alt + T), though change the transformation center to the middle of the document and rotate the image -120 degrees CCW.

Step 10

Now hit the Free Transform again keyboard shortcut from Step 7 (Command + Shift + Alt + T), doing this you’ll duplicate the 120 degrees rotate transformation exactly. Finally, put the three layers into a new folder named "Fractal 2," Now, duplicate the folder and merge the copy, hide the original folder, and name the merged copy "Fractal 2."

Step 11

Duplicate and Free Transform (Command + Alt + T) the "Fractal 2" layer, keep the transformation center where it is, then while holding Shift + Alt keys, resize and rotate the copy just a little bit. Try to get something like the image below.

Step 12

Change the "Fractal 2 copy" layer Hue/Saturation, use the values shown below. We’ll make this one a little bit green.

Step 13

Free Transform again the layer and adjust Hue / Saturation using these values.

Step 14

Repeat the Free Transform again command (Command + Shift + Alt + T) as many times as you want, but always change the Hue and Saturation to get one green layer above a blue one. When you have finished, group all the layers into a new folder called "Fractal 3." Next, duplicate the folder and merge the copy, just like in the previous steps. Name the copy "Fractal 3."

Step 15

Add a dark Drop Shadow to the "Fractal 3" layer.

Step 16

Duplicate and Free Transform (Command + Alt + T) the "Fractal 3" layer, rotate the copy a few degrees CW, resize it a little bit making the copy smaller, and change the transformation center to the top-left, then hit Enter.

Step 17

Free Transform again (Command + Shift + Alt + T) a lot of times to get something like this. You can repeat these steps as many times as you want, but I’ll stop the design right here.

Conclusion

As you can see, you can apply this technique to create a lot of abstract designs, or mixing the fractal shapes with real images to improve your outcome. It’s up to you from here. Good luck! You can view the final image below or view a larger version here.

Final Click

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Discussion 131 Comments

Comment Page 2 of 3 1 2 3
  1. Grafiko says:

    This is a very cool effect. nice trick

  2. lol says:

    This was SIKK, i really enjoyed doing it!!!!!
    :)

  3. jason says:

    i’ve been doing this since i first read about it in computer arts magazine about 6 or 7 years ago (tutorial about making a tree with baby photos as leaves). anyway, it’s a lot easier when you make an action that has 100+ actions in it. just hit the button and you’re done.

  4. cLaK says:

    awesome!! thx for the tut ;)

  5. unobtruse says:

    What an awesome tutorial! You stimulated my creativity… Here is the fractal I created.

  6. Ralph says:

    Damn its sooooo easy i will try it. Thanks dude!!!

  7. NV says:

    shit! U R Genius!!!!!!

  8. DIV says:

    Gret just tell me where to enter the degrees in step 9

  9. Brajesh says:

    Its so easy and looking damm good….nice

  10. u need to explain in detail, certain steps.second semester student.

  11. Umar says:

    Wow, that’s really neat!

  12. anto says:

    this is totally stupid to fake fractals in photoshop rotating layers and layers
    f you want fractals, just compute them with a fractal formula, or find a real plugin that can do it real.

  13. Tahir says:

    Good on ya buddy .u r legend.

  14. sacke says:

    nice work

  15. Marj says:

    Amazing work! Thanks for passin’ on the knowledge:)

  16. Simon says:

    Really awesome design. Nice one

  17. rabidbeav says:

    when i use the ctrl-shift-alt-t shortsut, it doesnt give the correct result. it doesnt create a new “piece” it just changes the one i just made. help plz

  18. Alessandra says:

    Ive already tried it, its great!

  19. J says:

    this is too hard

  20. AEMP says:

    the directions are not clear!! especially for those of us who are new to photoshop

  21. Heidi says:

    thanks for tutorial good job!

  22. Asim says:

    Excellent work…Really like that, Keep it up!

  23. tika says:

    unbelieveable!!
    i love it!!

  24. sang mantan says:

    it would take my whole day :D

  25. lauren says:

    nice effect but the tut was confusing. didn’t succeed

  26. texzi says:

    That’s inzanly :D
    just love the ctrl+alt+shift+t shortcut :D

  27. Anju says:

    Great learning experience for me. I loved the short cuts and so much I learned. WOW!

  28. Techn0shamen says:

    Sweet now i know. Your my hero

  29. Aarthi says:

    Lovely trick! Very nice… got a fantabulous Fractal effect. Success!!
    WHole new way to look at Photoshop……..
    Thanks a ton dude! Loved d way shortcuts were employed in here.

  30. kadaffy says:

    this was on phong for some time. Basic you can make a fractal in photoshop from any image or shape that you want. is very much funn…

    you can look if you whant http://kadaffy.deviantart.com/gallery/#Outer-Fractals

  31. Pricilla says:

    Awsome!!! Just loved it =]

  32. S says:

    Your Message… u’re good…this is amzing
    i’ve ben dying to know this

  33. loucifer87 says:

    Awesome.. Magnifico..

  34. inbal says:

    thank you very much

  35. om vaishnav says:

    Really This is the great tutorial …Thanks a lot ….

  36. Naveen Reddy says:

    Excellent Tutorial. Making Idea is good…….Thanks a lot ……..

  37. pejott says:

    Awesome tut. Thanks.

  38. Choo says:

    Simply awesome.

  39. Mehdi says:

    beautiful, thanks

  40. realy cool effect! thanks for the great tut..

  41. sreeraman says:

    its very nice & g♣♣d

  42. charanraj says:

    Mr. Alvaro you are the best.
    I love this Tut.Simple yet amazing.

  43. Shlomit says:

    Looks amazing
    I must try it

  44. yachts says:

    I think is a Excellent Tutorial. Thanks

  45. SAM says:

    These kind of work is very usefull for me. Thank you very much..

  46. puff says:

    if you turn the first full fractal into a brush, you don’t have to do it a million times

  47. puff says:

    i kno it wont turn out the same, but you can do other tricks to it then

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