Artificial intelligence and the future of design

For a deep dive into emerging AI techniques and technologies, join us September 26-27, 2016, for the O'Reilly Artificial Intelligence Conference in New York. If a figure be anyhow divided and the compartments differently coloured so that figures with any portion of common boundary line are differently coloured--four colours may be wanted, but not more--the following is the case in which four colours are wanted. Query cannot a necessity for five or more be invented. That is, you'll never need more than four colors on an ordinary two-dimensional map in order to color every country differently from the countries adjoining it. A proof for the four-color conjecture evaded mathematicians until 1976, when Kenneth Appel and Wolfgang Haken announced a solution.