The beauty of mathematics is not only reflected in beautiful conclusions and exquisite proofs, but also in unsolved mathematical problems. Different from Goldbach conjecture and Riemann hypothesis, some unsolved problems are very interesting.
Angels and demons play games on an infinite chessboard. Every time the devil can dig out any grid on the chessboard, the angel can land by flying 1000 steps on the chessboard; If the angel falls on the dug grid, the angel loses.
Question: Can the devil trap angels?
When K = 1, the devil has a winning strategy (Conway, 1982).
If the angel can't lower its Y coordinate, the devil has a winning strategy (Conway, 1982).
If the angel keeps increasing the distance from the starting point, the devil will have a winning strategy (Conway, 1996).
In 2006, at least four mathematicians independently proved that when k is a small integer (including K = 2), angels have a winning strategy.
Mathematics (Mathematics or maths, from the Greek word "Má thē ma"; Often abbreviated as "mathematics"), it is a discipline that studies concepts such as quantity, structure, change, space and information, and belongs to a formal science from a certain point of view. Mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
In the development of human history and social life, mathematics also plays an irreplaceable role, and it is also an indispensable basic tool for studying and studying modern science and technology.
Reference source: Baidu Encyclopedia-Mathematics (subject)