Great puzzle. There was some guessing at the end but as long as you know the shape of a "normal" kite, it should go pretty smoothly. I was able to complete it fairly easily but there are multiple answers towards the end. I had fun completing it! Thanks! ~:)
HINT: When creating the diamond shaped kite, the upper right quadrant matches the lower left quadrant. The upper left quadrant matches the lower right quadrant. Hope that helps a bit! :)