You can do 4 patches but you can't do traditional strip pieced 4 patches. It will involve waste though.
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You will still need the one bigger square like her directions say
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The edges need to be lined up on one side, then those lined up sides go together in the center.
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This will offset your center seams and give you uneven outer edges
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Then trim as shown.
I did this w/ construction paper w/ the seam allowance cut off already.