What does Bismuth want at the statue?

Hint 1 of 16:

There are some clues around here.

Hint 2 of 16:

Look at the display on the far end of the museum, just next to where Bismuth
is standing.

Hint 3 of 16:

He wants a clean start.

Hint 4 of 16:

Experiment with the device in the same room as Bismuth.  This is the way you
can give him a clean start.

Hint 5 of 16:

You can press the yellow button to make the device display a few pre-formed
shapes, and you can press the green button to give Bismuth your results.

Hint 6 of 16:

Notice what happens when you move one piece on the device on top of another.

Hint 7 of 16:

The intersection of two black pieces is white.

Hint 8 of 16:

Remember he wants a clean start.