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I have visited a page discussing the calculations required to rotate an image for tiling purposes. I am still very stuck. I've even tried using the automated tool inside the G'MIC plugin in GIMP.

This is the single bucket I am starting with:

single bucket

This is the result I'm trying to achieve:

Desired result

I need the buckets to line up when tiled.

Any help would be greatly appreciated!

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Provided you're inpossession of a vector version of the bucket, I'd advise you to use Illustrator for this gig. CS6's pattern builder is made for this stuff. You might want to look at graphicdesign.stackexchange.com/questions/16326/… –  Bakabaka Jul 15 '13 at 15:34
    
Possible duplicate: How to create a pattern or tiles from rotated elements –  JohnB Jul 15 '13 at 18:34
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1 Answer

For Photoshop....

  • Create a selection around the upright bucket.
  • Choose Edit > Define Pattern
  • Create a new layer in the document you want the pattern applied to.
  • Fill the new layer with any any color and then set the layer Fill opacity to zero
  • Choose Layer > Layer Style > Pattern Overlay
  • Select the bucket pattern you just defined, and click OK
  • Choose Layer > Smart Objects > Convert to Smart Object
  • Rotate the pattern smart object layer

If you find after rotation that your pattern does not cover the entire document area, simply double-click the smart object pattern layer and increase the canvas size in that document.

Unfortunately Photoshop offers no ability to rotate patterns. Hard to believe. That's a feature that should absolutely be implemented but until it is this workaround has been good for me. There's no real reason to create a pattern at a specific angle in this case. It's often easier to simply apply a straight pattern, then rotate the layer or smart object.

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