Classic T Puzzle

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"The T puzzle is a tiling puzzle consisting of four polygonal shapes which can be put together to form a capital T." -- Wikipedia The base should not be printed until you have solved the puzzle as it makes it much much easier to solve. The base is just to hold the loose pieces and also 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!