Fractals - Mandelbrot Set
Mathematics Accomplishment | 1980
IBM researcher: Benoit Mandebrot
Where the work was done: IBM T.J. Watson Research Center
What we accomplished: Pioneering development and visualization of fractals. Paraphrased from Wikipedia: "Mandelbrot (pictured) used a computer to plot images of the Julia sets. While investigating the topology of these Julia sets, he studied the Mandelbrot set fractal that is now named after him.
Related links: Wikipedia entry on Mandelbrot set.
Image credit: Deciphering Science