Front and Back Colored Tetrominoes
Getting 36 pieces and a total area of 144 the first idea for a
construction is a 12x12 square. With standard coloring this
can be done by hand solving. Strict coloring is much more difficult
but Patrick Hamlyn provided a solution.
The 12x12 square is also a 6-fold replica of the sqaure tetromino and
it might be possible to make strictly colored replicas of the other
ones. Solutions with standard coloring can be found rather easily by
hand solving as shown below. Since the color of the back isn't marked a little
work is left for you.
A lot of 4-fold replicas of the enneominoes can be derived from the three 4x12 rectangles
in the mobile but some others need a new construction for example the following one.
The three 6x8 rectangles are other examples for multiple congruent shapes. The three
rectangles are uniformly colored on the back to make the problem
not too easy.