HOW TO MAKE A FRACTAL IN PHOTOSHOP
The Trick:
Photoshop can repeat anything if you do the secret transform trick instead of regular transform.
Select the layer with your object.
Click Remove background
Choose the crop tool and pull the corner to make the canvas larger
Click Alt+Control+T
Now drag in from the corner to make the image a LITTLE smaller.
Rotate from the corner to make a fractal pattern in the next step.
Hit Done.
Click Shift+alt+Control+T a few times. It will repeat the same action.
Hit the black and white circle at the bottom of the layers panel and choose a solid color or gradient for your background.
THAT'S THE TRICK.
You can try to change the opacity of each layer also to get a transparent look.