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Trimming a sweep that crosses another.

Trimming a sweep that crosses another.

Trimming a sweep that crosses another.

(OP)
I am trying to make a round embossing die with a pattern that criss crosses.  I projected a curve on to the face of the die.  I then turned the curve ito a 3 d sketch and swept a profile along the path.  I repeated for the pattern that goes the other direction, and then arrayed them both around the die.  My problem is that I need to trim some of the pattern back to where it intersects with the pattern going the other direction.  This would makes a "bear claw" pattern on the die.  I cant figure out how to eliminate the partial sections of the sweep that I need to.  It won't let me array the 3-d path, or trim them when I tried to do multiple projections to the face and do multiple 3-d paths (wont recognise the intersection.).  Any ideas?  I might be taking the wrong approach altogether.

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