I'm wondering if it is possible to make a 3x8 grid using 6 tetrominoes: 2 Is, 2 Ls, a Z skew, and a square tetromino. I believe it may be impossible but would like to know why.
Further problem: given the tetrominoes in the picture can you form a crossnumber grid that allows for there to be 14 across and 12 down clues. I've attempted many days and believe it is impossible but happy to be proven otherwise. The bold lines separate grid entries.