Mathematics Of Sudoku
The mathematics of Sudoku refers to the use of mathematics to study Sudoku puzzles to answer questions such as ''"How many filled Sudoku grids are there?"'', "''What is the minimal number of clues in a valid puzzle?''" and ''"In what ways can Sudoku grids be symmetric?"'' through the use of combinatorics and group theory. The analysis of Sudoku falls is generally divided between analyzing the properties of unsolved puzzles (such as the minimum possible number of given clues) and analyzing the properties of solved puzzles. Initial analysis was largely focused on enumerating solutions, with results first appearing in 2004. For classical Sudoku, the number of filled grids is 6,670,903,752,021,072,936,960 (), which reduces to 5,472,730,538 #Essentially different solutions, essentially different solutions under the validity preserving transformations. There are 26 types of Symmetry in mathematics, symmetry, but they can only be found in about 0.005% of all filled grids. A puzzle wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Bing] [Yahoo] [DuckDuckGo] [Baidu] 

Sudoku Puzzle (automorphic With Translational Symmetry)
Sudoku (; ja, 数独, sūdoku, digitsingle; originally called Number Place) is a logicbased, combinatorics, combinatorial numberplacement puzzle. In classic Sudoku, the objective is to fill a 9 × 9 grid with digits so that each column, each row, and each of the nine 3 × 3 subgrids that compose the grid (also called "boxes", "blocks", or "regions") contain all of the digits from 1 to 9. The puzzle setter provides a partially completed grid, which for a wellposed puzzle has a single solution. French newspapers featured variations of the Sudoku puzzles in the 19th century, and the puzzle has appeared since 1979 in puzzle books under the name Number Place. However, the modern Sudoku only began to gain widespread popularity in 1986 when it was published by the Japanese puzzle company Nikoli (publisher), Nikoli under the name Sudoku, meaning "single number". It first appeared in a U.S. newspaper, and then ''The Times'' (London), in 2004, thanks to the efforts ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Bing] [Yahoo] [DuckDuckGo] [Baidu] 