I am so with you, it has this graphic puzzle quality. I did not played tangram for a long time, but your comment reminded me that we have a game which is basically the same as tangram only more evil 🤪
It’s this: https://boardgamegeek.com/boardgame/46396/ubongo-3-d
We play this sometimes, but without time limit and competition, as it is so difficult (at least for me)
And with the straight line.... this was no fun. I always sew stretchy fabric with a special zig zag stitch and I had real problems to unpick it. I think the sewing afterwards was like a breeze in comparison.