Classic "T" Puzzle

This is my submission for Make Anything's design challenge so a like or picture would be appreciated. According to Wikipedia, the T puzzle is a tiling puzzle consisting of four polygonal shapes which can be put together to form a capital T. The base should not be printed until you have solved the puzzle as it makes it so much easier to solve. The base is just to hold the loose pieces and for decoration, it is not a guide. It is fairly difficult and takes around 30 minutes to solve. If you succeed, try to create the other shapes listed in the second photo. As always, the solution is not posted here (Because you might accidentally see it). Good luck!