The software package Burr Tools was used extensively.
If you want to verify the solutions, you will need the rather complicated shape files.
You can download a Burr Tools file to demonstrate the Loyd Polyominoes Project HERE
To cope with the small right angled traingles with sides [1, 2 root(5)] the Burr Tools grid is quadrupled and the square and triangle are represented like this |
The explanation of the shapes in the Burr Tools file is this:
The explanation of the puzzles is this