BQ is a great pattern for large fussy cuts.
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Or how about several large fussy cuts, the finished sides divisible by 3 inches (so the fussy cuts are 12 x 12 or 9 X12 or 9x 9 or 15 x 3) ( ok 15 x 3 is just silly) and then fill in around the fussy cuts with nine patches or four patches or just 3 inch squares, whatever it takes to make each "block" 9x9. Fill in around a larger fussy cut to make it fit.
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Another thought is the Warm Wishes pattern.
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Fussy cut circles, make 9 inch blocks and nine inch sawtooth star blocks in complementary colors. Alternate.
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Fence Rail blocks arranged diagonally with every other diagonal row the fussy cut material.
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An I-Spy type quilt is good for fussy cuts.
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Irish Chain works good with large prints for the big blocks.
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I hate cutting into my big prints but once I do and I put them into a quilt, I am always so glad I did it!