The five dimensions of curiosity An Essay by Todd Kashdan www.psychologytoday.com Joyous Exploration. This is the prototype of curiosity—the recognition and desire to seek out new knowledge and information, and the subsequent joy of learning and growing. Deprivation Sensitivity. This dimension has a distinct emotional tone, with anxiety and tension being more prominent than joy—pondering abstract or complex ideas, trying to solve problems, and seeking to reduce gaps in knowledge. Stress Tolerance. This dimension is about the willingness to embrace the doubt, confusion, anxiety, and other forms of distress that arise from exploring new, unexpected, complex, mysterious, or obscure events. Social Curiosity. Wanting to know what other people are thinking and doing by observing, talking, or listening in to conversations. Thrill Seeking. The willingness to take physical, social, and financial risks to acquire varied, complex, and intense experiences. curiosity
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