Fractals and spirograph waves in Photoshop

So we created a simple spirography. Try experimenting using the various transformation tool settings. In the screenshots below, there are additional settings that you can play with:

Changing transform center position (reference point location):

Change width (width) and height (height):

Change the angle turning (rotation) and distortions (skew):

Step 5

So, we experimented with different settings, now it’s time to go to the next level. In the following steps, you will learn how to create spirography using Operations (Actions) that will give us additional features. Using Operations (Actions), you can change the color, opacity, and many other settings in addition to the transformation settings that you used earlier.

First create any contour using any tool. Do not forget to rasterize the layer if you draw a shape with some vector tool. To do this, right-click on the layer and in the window that appears, select the option Rasterize layer (Rasterize Layer). I drew the usual red contour of the oval.

Step 6

Next, create a new operation through the settings panel. Operations (Actions), let’s go Window – Operations (Window> Actions). To create a new operation, first click Create a new set (Create New Set) in the bottom toolbar Operations (Actions). Give any name of this operation at your discretion – I called this operation. Spirography (Spirograph). Next, click Create new operation (Create New Action). You can call this operation in any way, but you need to specify a hot key in the field Function key (Function Key). I chose the key (F12). Press the button Write down (Record)

Step 7

So, your operation starts recording all your actions. Follow these steps to record your actions.

1. Press the keys (Ctrl + J) to duplicate the current layer.

2. Press the keys (Ctrl + T) to activate the tool. Free Transformation (Free Transform tool). Apply any transformation actions that you like. For example, I turned my ellipse by 15º, and then deformed vertically by 15º.

3. Press the keys (Ctrl + U) to activate the tool. Hue / Saturation (Hue / Saturation tool). Spend any color correction to your taste. For example, I just set the value Color tone (hue) at 8.

Once you have finished, click Stop (Stop) in the bottom toolbar. Now you have a new operation that you can work with just by clicking function key (function key) that you assigned earlier (I set F12 as the function key).

Step 8

Press the function key you asked (I have this F12 key) until you build your spirograph wave. The result of my spirography can be seen in the screenshot below. The shape doesn’t look so awesome, but we can always try changing the settings.

To change the settings, simply double-click on any of the actions inside your Operations (action).

Here so my spirographic waves due to change of a step / action look Transformation of the current layer (Transform current layer) and zooming in to transform width and height (width and height) at 110%.

It turned out not the way I wanted, so I removed all the layers, increasing the height and width of the transformation by 105% instead of 110%.

Summary results

From now on, everything depends on you, experiment to get different shapes. And during experimentation, you may find new ways to create not only spirographic waves, but also various arbitrary fractals. Below are more examples that you can create.

Example 1

Duplicate layer (Duplicate layer).

Free transformation (Free transform) – Angle (Angle): 5º, Horizontal distortion (Horizontal Skew): 10º

Shift (Offset) Filter – Miscellaneous – Shift (Filter> Other> Offset) – right and down (10 px).

Hue / Saturation(Hue / Saturation) – Saturation (Hue) 10º

Example 2

Duplicate layer (Duplicate layer).

Free transformation (Free transform) – Angle (Angle): 9º

Hue / Saturation(Hue / Saturation) – Saturation (Hue) 9º

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