Saturday, October 27, 2012

Sudoku Types - Continued....

Flower Sudoku

                   Flower Sudoku consists of five Sudoku puzzles, similar to Samurai Sudoku. However, these puzzles overlap each other more than in Samurai. The center grid is covered by the remaining sub-puzzles.

flowersudoku

Futoshiki

            Futoshiki - also known as "Hutoshiki" or "Unequal"- is a logical math puzzle played on a square grid. The objective of Futoshiki is to enter numbers from 1 to 5 (or whatever the grid dimension is) in each column and each row.
            In addition, inequality constraints are given between some of the cells, indicating that one cell must be higher or lower than its neighbour.

futoshiki

Girandala Sudoku
    Girandola Sudoku is a Sudoku variant. It contains an extra group of nine marked cells. This group must also contain the numbers 1 through 9. 


girandolasudoku 

Hoshi Sudoku
      It contains six large triangles. The numbers 1 to 9 must be placed into the cells of each large triangle. Every line of any length - even uncontinous - must contain every number not more than once.

hoshisudoku

Killer Sudoku
        This Sudoku variant , also called as  "Killer Sudoku", "Sums Sudoku", "Samunamupure" or "Kikagaku Nampure". The puzzle contains sub-regions with specified sums. No number can be repeated within a sub-region.

killersudoku 

 Mathdoku

Mathdoku - also known as "CalcuDoku" or "Square Wisdom" - is a logical math puzzle. The objective of Mathdoku is to fill the grid with the numbers 1 to 9 (or whatever the grid dimension is) such that each row and each column contains only one instance of each number.
In addition, each outlined group of cells contains digits which achieve a specified result using the specified mathematical operation (+, -, ×, ÷). Unlike Killer Sudoku, numbers can repeat within a group of cells.

mathdoku 

Samurai Sudoku
          "Samurai Sudoku" or "Gattai-5 Sudoku". It contains five grids, one in the center and 4 overlapping each corner of the central one. The numbers 1 to 9 must be placed correctly for all the five puzzle grids.

samuraisudoku















 

 

 

 

 

 

 

 

Sudoku X

This Sudoku variant is called "Sudoku X", "Diagonal Sudoku" or "Kokonotsu". In Sudoku X the main diagonals must also contain the digits 1 through 9.

sudokux

Tripledoku

Tripledoku  contains three 9×9 grids. The numbers 1 to 9 must be placed correctly for all of the three grids. 

tripledoku

Twodoku

Twodoku", "Sensei Sudoku" or "DoubleDoku". It contains two 9×9 grids. The numbers 1 to 9 must be placed correctly for both grids.

twodoku 

Windowku

This Sudoku variant is called "Windoku", "Four-Box Sudoku" or "Hyper Sudoku". The puzzle contains four additional 3×3 regions that must contain the numbers 1 through 9.

windoku

Sudoku

    Source: www.sudoku-puzzles.net 
     Sudoku - also known as "Number Place" - is a logic-based, combinatorial number-placement puzzle. The aim of Sudoku is to enter a number from 1 through 9 in each cell of a grid, most frequently a 9×9 grid made up of 3×3 subgrids. Each row, column and region must contain only one instance of each number.
       There are 19 different types of Sudoku.
  • Sudoku
  • Argyle Sudoku
  • Asterisk Sudoku
  • Binario
  • Butterfly Sudoku
  • Center Dot Sudoku
  • Easy as ABC
  • Even-Odd Sudoku
  • Flower Sudoku
  • Futoshiki
  • Girandola Sudoku
  • Hoshi Sudoku
  • Killer Sudoku
  • Samurai Sudoku
  • Mathdoku
  • Sudoku X
  • Tripledoku
  • Twodoku
  • Windowku

Sudoku
     Sudoku - also known as "Number Place" - is a logic-based, combinatorial number-placement puzzle. The aim of Sudoku is to enter a number from 1 through 9 in each cell of a grid, most frequently a 9×9 grid made up of 3×3 subgrids. Each row, column and region must contain only one instance of each number.

_sudoku 

Argyle Sudoku
              This "Argyle Sudoku" is a Sudoku variant  . It contains additional marked diagonals that must also contain the digits 1 through 9 exactly once.

argylesudoku 

 Asterisk Sudoku
            It contains an additional area of nine specially marked cells. Those nine cells must also contain the digits 1 to 9 exactly once.

asterisksudoku 

Binario
       Binairo - also known as "Binary Puzzle", "Takuzu" or "Tohu wa Vohu" - is a logical puzzle played on a square grid. The objective of Binairo is to fill the grid with the numbers 1 and 0. Each row and each column must be unique.
          In addition, there have to be as many "1" as "0" in every row and every column (or one more for odd sized grids) and no more than two cells in a row can contain the same digit.

binairo

Butterfly Sudoku
        The puzzle consists of four 9×9 grids. The numbers must be placed correctly for all four grids.

butterflysudoku 

Center Dot Sudoku
             The central cells of each region form an extra region that must also contain the numbers 1 through 9.This is called Center Dot Sudoku.

centerdotsudoku

Easy as ABC

           Easy as ABC - also known as "ABC End View" or "Last Man Standing" - is a logical puzzle played on a square grid. The objective of Easy as ABC is to fill the grid with the letters A through G (or whatever the grid dimension is). Each row and each column must contain only one instance of each letter. The clues outside the grid show which letter comes across first from that direction.

easyasabc

Even-Odd Sudoku
            In this variant white cells must contain odd digits and gray cells must contain even digits.




evenoddsudoku

History of Sudoku

                    The history of Sudoku puzzles likely has it roots in the mathematical concept of Latin Squares.Leonhard Euler, a Swiss mathematician, in the 1780's developed the idea of arranging numbers in such a way that any number or symbol would occur only once in each row or column. Latin Squares is used in statistical analysis.
                    Sudoku rules add the restraint that each region may only have the numbers (or symbols) occurring but once. Howard Garns, an architect from Indianapolis, is credited with creating this rule when he developed the puzzle we know as Sudoku.
                    Dell Magazines published the puzzle under the name of Number Place for over 25 years. It is a staple of Dell Magazines to this day. You can find Number Place in Dell Collector's Series.
Presently Dell Magazines publishes several Sudoku puzzle books with such titles as Dell Original Sudoku, Dell Extreme Sudoku, and Dell Maximum Sudoku to name a few.
                    Sudoku is definitely an American invention, but the name isn't. Introduced into Japan by Nikoli under the name of 'Suuji wa dokushin ni kagiru' roughly translating to mean the numbers must be unmarried or single. Thankfully the name has been shortened to Sudoku.The history of Sudoku continues to expand. Wayne Gould, a retired Hong Kong judge, author of Su Doku The Official Utterly Addictive Number-Placing Puzzle,  first encountered the puzzle in a Tokyo book store.
He began to create his own puzzles and was soon addicted like the rest of us. He introduced his puzzles to The Times, a British newspaper, as Su Doku. His puzzles first appeared there on November 12, 2004.

Mathematics


Mathematics is a science, or class of sciences, which treats of the exact
relations existing between quantities or magnitudes, and of
the methods by which, in accordance with these relations,
quantities sought are deducible from other quantities known
or supposed; the science of spatial and quantitative
relations.
     
       - Webster's 1913 Dictionary

The Pythagoreans invented the term mathematics, from the Greek word mathema, which meant “science.”

Why do we need to learn Mathematics??

       The technologies that we use in our day to day life, and the emerging new technologies, are all based on Mathematics.So, In order to master those technologies, we need Mathematics. Mathematics is not just the numbers....it is about the patterns too.
What are patterns?? Patterns are a theme of the recurring events or objects. A toddler tries to separate blocks of different colors.For example, blue block from a red block.The separation is a pattern. The multiples of five end in either zero or five.This is a pattern.The higher - grade students learn from Algebra to Calculus.These constitute lots of functions,which is the pattern of how one number changes to other.