This first scan is my friend's result of the puzzle. She said she looked for a continuous heart that went over and under, and her eyes moved across the diagram. This is an applied pattern finding technique. If you look at any heart it most likely is fully under or over another heart. If that pattern is broken and it overlaps then it is one of the "tangled" hearts.
This was my sheet, I went for a similar approach for looking at each heart for the "over and under" section to see if it is tangled, rather than fully above or under. I only found 3 however with this similar approach. One of the main differences between our puzzle solving technique was I searched for particular points (over and under) while my friend followed the entire heart shape with her eyes. The heart I missed (top right) is in a more compact & dense area.
My friend's scan shows where she took the basic shape that was given and flipped it once for each time it fit. That's where the first "2" comes from, she then flipped the given shape to fit the other end into each point of the yellow shape and flipped or mirrored it again. She came out with a total of 16. She imagined a different viewpoint for each placement that fit.
I started off by placing lines into the given shape, thinking it would be easier to break up and see how it fits. I placed the square area into each 4 corners of the yellow shape and did the similar process of mirroring it to the other side. But I struggled with applying the other end of the given shape (the rectangle) towards the yellow shape. Once I did figure that out, I forgot to mirror it per each side and ended up with 12 (4 short, one mirrored shape per side..)
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