Understanding nature has always been a reference point for both art and science. Aesthetics have put nature at the forefront of artistic achievement. Artworks are expected to represent nature, to work like it. Science has likewise been trying to explain the very laws that determine nature. Technology has provided both sides with the appropriate tools towards their common goal. Fractal art stands right at the heart of the art-science-technology triangle. This chapter examines the new perspectives brought to art by fractal geometry and chaos theory and how the study of the fractal character of nature offers promising possibilities towards art's mission.