The Mathematics Portal
Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games). Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and game theory. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, and practical applications for what began as pure mathematics are often discovered. (Full article...)
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 ...that it is possible to stack identical dominoes off the edge of a table to create an arbitrarily large overhang?
 ...that in Floyd's algorithm for cycle detection, the tortoise and hare move at very different speeds, but always finish at the same spot?
 ...that in graph theory, a pseudoforest can contain trees and pseudotrees, but cannot contain any butterflies, diamonds, handcuffs, or bicycles?
 ...that it is not possible to configure two mutually inscribed quadrilaterals in the Euclidean plane, but the Möbius–Kantor graph describes a solution in the complex projective plane?
 ...that the six permutations of the vector (1,2,3) form a hexagon in 3D space, the 24 permutations of (1,2,3,4) form a truncated octahedron in four dimensions, and both are examples of permutohedra?
 ...that the Rule 184 cellular automaton can simultaneously model the behavior of cars moving in traffic, the accumulation of particles on a surface, and particleantiparticle annihilation reactions?
 ...that a cyclic cellular automaton is a system of simple mathematical rules that can generate complex patterns mixing random chaos, blocks of color, and spirals?
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 ... that when Ruth Stokes defended her dissertation on the theory of linear programming in 1931, she became the first person to earn a doctorate in mathematics from Duke University?
 ... that when mathematician Josephine M. Mitchell married another University of Illinois faculty member, the university revoked her tenured position so her husband could keep his untenured one?
 ... that in the musical Fermat's Last Tango, mathematicians Euclid and Newton are played by women?
 ... that Piper Harron's 2016 mathematics doctoral thesis has been described as "feminist", "unique", "honest", "generous", and "refreshing"?
 ... that religious timekeepers employed by the Umayyad Mosque in Damascus included a 14thcentury astronomer who proposed geocentric models mathematically identical to those later proposed by Copernicus?
 ... that the cofounder of Arkansas radio station KTOY, the first Blackowned radio station in the state, continued teaching math after starting it?
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Example of a Persian design with wallpaper group type "p6m" Image credit: Owen Jones 
A wallpaper group is a mathematical concept used to classify repetitive designs on twodimensional surfaces, such as floors and walls, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. The mathematical study of such patterns reveals that exactly 17 different types of pattern can occur.
Wallpaper groups are examples of an abstract algebraic structure known as a group. Groups are frequently used in mathematics to study the notion of symmetry. Wallpaper groups are related to the simpler frieze groups, and to the more complex threedimensional crystallographic groups. (Full article...)
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