The Art of Doing Science and Engineering: Learning to Learn A Book by Richard Hamming www.amazon.com The Art of Doing Science and Engineering is the full expression of what "You and Your Research" outlined. It's a book about thinking; more specifically, a style of thinking by which great ideas are conceived. Gifts of knowledge to humanityHamming-greatnessIt cannot be taught in wordsPreparing for problemsStudent's future, not teacher's past+33 More You and Your ResearchChance favors the prepared mindSerendipity learningscienceengineeringdiscovery
You and Your Research A Speech by Richard Hamming www.cs.virginia.edu This talk centered on Hamming's observations and research on the question "Why do so few scientists make significant contributions and so many are forgotten in the long run?" Important problemsOpen doors, open mindsInverting the problemIntellectual investment is like compound interestGreat people can tolerate ambiguity+2 More The Art of Doing Science and Engineering: Learning to Learn researchdiscoverycreativitylearning
Wang tiles Wang tiles (Hao Wang, 1961) are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them. The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern. In 1966, Wang's student Robert Berger solved the problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem then implies the undecidability of Wang's tiling problem. Wikipedia en.wikipedia.org Truchet TilesThe Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy mathalgorithms