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There are approximately 19473 mathematical articles in Wikipedia.
Game theory is a branch of mathematics that is often used in the context of economics. It studies strategic interactions between agents. In strategic games, agents choose strategies which will maximize their return, given the strategies the other agents choose. The essential feature is that it provides a formal modelling approach to social situations in which decision makers interact with other agents. Game theory extends the simpler optimisation approach developed in neoclassical economics.
The field of game theory came into being with the 1944 classic Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern. A major center for the development of game theory was RAND Corporation where it helped to define nuclear strategies.
Game theory has played, and continues to play a large role in the social sciences, and is now also used in many diverse academic fields. Beginning in the 1970s, game theory has been applied to animal behaviour, including evolutionary theory. Many games, especially the prisoner's dilemma, are used to illustrate ideas in political science and ethics. Game theory has recently drawn attention from computer scientists because of its use in artificial intelligence and cybernetics.
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The Sierpiński pyramid is a higher dimension analog of the Sierpiński triangle. It is a fractal formed by repeatedly shrinking a regular tetrahedron to one half its original height, putting together four copies of this tetrahedron with corners touching, and then repeating the process. The Sierpiński pyramid has a nonzero, finite surface area and zero volume.
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 ...that a sphere can be cut up and reassembled into two spheres the same size as the original (BanachTarski paradox)?
 ...that it is impossible to devise a single formula involving only polynomials and radicals for solving an arbitrary quintic equation?
 ...that Euler found 59 more amicable numbers while for 2000 years, only 3 pairs had been found before him?
 ...that you cannot knot strings in 4dimensions? You can, however, knot 2dimensional surfaces like spheres.
 ...that there are 6 unsolved mathematics problems whose solutions will earn you one million US dollars each?
 ...that there are different sizes of infinite sets in set theory? More precisely, not all infinite cardinal numbers are equal?
 ...that every natural number can be written as the sum of four squares?
 ...that the largest known prime is over 9 million digits long?
 ...that the set of rational numbers is equal in size to the subset of integers; that is, they can be put in onetoone correspondence?
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