Here are the requirements:
Pick a famous artist (Picasso, Van Gogh, David Hockney, Michelangelo) whoever you want - or style (cubism, pointilism, bauhaus, deconstructivism, impressionism, etc.) and interpret the Bitcoin logo into that style. Other components of the image (background, details, other elements) are completely up to your imagination.
The style that I picked is Surrealism. The most famous example of Surrealism is "The Persistence of Memory" by Salvador Dali -- the painting with melting clocks. I designed this digitally with Illustrator.
I designed the Bitcoin logo to somewhat melt, which is held up with support. This symbolizes the current "controversy" surrounding Bitcoin. Government policies, influential naysayers, team FUD, and etcetera are factors that affect the bearishness of Bitcoins. Nonetheless, there's still strong enough support that's overwrites the negative backlash.
The wavy element on the top left is an abstract mountain with a waterfall. This also represents the Bitcoin on the market -- from the bottom to the top!
The hand through the Bitcoin logo represents a hand through the Bitcoin logo.
Rather than a long post with all the steps of the design, here's a GIF of the design process.