Using some or all of the hexiamonds (pictured), make a star. You may flip pieces. The usual tiling rules apply, no overlaps, no gaps. Use only one or none of each piece. Answer is unique. Target shape also pictured, NB not to scale. Level of difficulty - nontrivial but not out of range for most is my guess.
Having a Blokus Trigon set at hand was a big help!
I arrived at
a different actually the same solution as pointed out:
My approach was rather straightforward, here's how I went around it:
I was able to quickly rule out the little hexagon piece from the solution. This simplified things a lot. Once the hexagon is in the centre, there's big scarcity of pieces that can fill the corners, so that strategy seems doomed. (Other positions for the little hexagon are even worse.)
I started my search with the next most awkward piece (the red "H shape", as I call it), placed it in a natural position, and then things kind of clicked from there with very little backtracking.