Depends. Jigsaw puzzles? No way! I *can* solve a 12-piece one(*), but only if there is a three-year-old-or-something to help/entertain me.
Crosswords? Sudoku? Cryptogram? Japanese picture puzzle? Logic puzzle? Mathematics proof? Physics theory? Yay!
I guess, as long as there are pencils or pens in it, I'm all for it.
(*) Okay, that's exaggerated. I suppose I can solve more boring, long-winded (i.e. more pieces) ones if you'd pay me.
And now I remember I've enjoyed greatly some three-dimensional cube ones. I had six differently-coloured, ordinary jigsaws, made from foam. Each had six pieces and could be assembled into the original rectangle or into a cube. The nicest of the thing was: with more of them, you could also make bigger three-dimensional shapes. There was a little booklet, saying eg. "make a 2/1/1 orthogonal prism with some pieces out of the the green and orange one". That I liked. It made "jigsaw" actually more difficult instead of just longer!
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I'm female. I just can't draw women
I was obsessed with puzzles as a kid. According to my mom, I'd solve jigsaw puzzles over and over again. My younger ISFP sister, however, just liked to break them, haha.
Nowadays, I'm not a big fan of jigsaw puzzles. The last one I remember doing was a 500 piece Lord of the Rings puzzle that I got as a Christmas present when I was about 11 or 12. What made that one fun was the fact that people would stop by (it being the holidays, and all) and we'd all sort of casually work on the puzzle while chatting.