Search results
Results From The WOW.Com Content Network
The mutilated chessboard problem is an instance of domino tiling of grids and polyominoes, also known as "dimer models", a general class of problems whose study in statistical mechanics dates to the work of Ralph H. Fowler and George Stanley Rushbrooke in 1937. [1] Domino tilings also have a long history of practical use in pavement design and ...
The puzzle can be played with any number of disks, although many toy versions have around 7 to 9 of them. The minimal number of moves required to solve a Tower of Hanoi puzzle is 2 n β 1, where n is the number of disks. [12] This is precisely the n th Mersenne number without primality requirements. [1]
The problem may be solved using simple addition. With 64 squares on a chessboard, if the number of grains doubles on successive squares, then the sum of grains on all 64 squares is: 1 + 2 + 4 + 8 + ... and so forth for the 64 squares. The total number of grains can be shown to be 2 64 β1 or 18,446,744,073,709,551,615 (eighteen quintillion ...
A four-colored map of the states of the United States (ignoring lakes and oceans) In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of ...
For example, if s=2, then π(s) is the well-known series 1 + 1/4 + 1/9 + 1/16 + β¦, which strangely adds up to exactly πΒ²/6. When s is a complex numberβone that looks like a+bπ, using ...
IPv4 address exhaustion is the depletion of the pool of unallocated IPv4 addresses. Because the original Internet architecture had fewer than 4.3 billion addresses available, depletion has been anticipated since the late 1980s when the Internet started experiencing dramatic growth. This depletion is one of the reasons for the development and ...
15 puzzle. To solve the puzzle, the numbers must be rearranged into numerical order from left to right, top to bottom. The 15 puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and more) is a sliding puzzle. It has 15 square tiles numbered 1 to 15 in a frame that is 4 tile positions high and 4 tile positions wide, with ...
Mathematical context. The general problem of solving Sudoku puzzles on n2 Γ n2 grids of n Γ n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.