Henry's Corner

Henry's Corner

Rectangle Outline Sudoku 長方框數獨

Twin Corresponding Sudokus 對照孿生數獨

Rules of Twin Corresponding Sudokus

Each row, each column and each of the nine 3x3 boxes in Twin A and Twin B contain 9 elements - a total of 9 Chinese characters in Twin A and all the nine different numbers 1 to 9 in Twin B.

This variant consists of a pair of linked standard sudoku puzzles, with some Chinese characters and digits as starters in twin A and twin B respectively. To get a complete solution for the twin puzzles, we have to solve each twin puzzle with the usual strategies but we can only get the complete solution for the twin puzzles by substituting the corresponding element of each cell from one twin sudoku into the other.

It is easier, particularly for those who do not understand Chinese, to substitute each Chinese character with a number in a blank grid in order to solve twin A. For instance, he can replace the Chinese character in the square (4,9) in row 4 column 9 with the digit 8. Similarly, he can replace the same Chinese character in (6,5) and (8,4) with the same digit.

對照孿生數獨

這一對數獨是完全相同的孿生子.只是外表有些許差異.

对照孪生数独

这一对数独是完全相同的孪生子.只是外表有些许差异.

Henry Kwok雲深 2006-12-24

Twin Equivalent Sudokus 對調孿生數獨

Rules of Twin Equivalent Sudokus

This sudoku variant consists of a pair of linked standard sudoku puzzles – one puzzle with some starting digits and the other puzzle with some members from a set of nine elements (Singapore stamp images). As usual, the object of this sudoku variant is to fill in the whole of the 9x9 grid with digits 1 through 9 or a set of nine elements (Singapore stamp images) so that each row, each column or each box contains all the digits 1 through 9 or nine elements (Singapore stamp images).

Both puzzles are essentially equivalent or the same puzzle. Twin B is related to twin A in the following ways:

Given that twin A is the original puzzle, twin B is obtained
1. By exchanging a block of columns (rows) with another block of columns (rows) in the original puzzle;

2. By rearranging all the digits 1 through 9 or nine elements (Singapore stamp images) so that each digit or element in twin B corresponds one to one to a digit or an element in twin A.

對調孿生數獨是兩個緊密相關的標準數獨.兩題中每個圖(新加坡郵票)與每個數字的排列基本上是一對一完全對應的.只是迷面把其中一題裡頭兩行或兩列對調了.

对调孪生数独是两个紧密相关的标准数独.两题中每个图(新加坡邮票)与每个数字的排列基本上是一对一完全对应的.只是迷面把其中一题里头两行或两列对调了.

Henry Kwok 雲深 11/23/2006

We would like to thank Mr. Henry Kwok’s design of this special Sudoku puzzle and the Infocomm Development Authority of Singapore and the Singapore Philatelic Museum (www.spm.org.sg) for their approval to display Singapore Postage stamps on our web site.

數獨園網站感謝郭雲深先生的創新設計,及[新加坡資訊通信發展管理局]和[新加坡集郵館]的贊助(www.spm.org.sg),及授權使用新加坡邮票影像.

数独园网站感谢郭云深先生的创新设计,及[新加坡资讯通信发展管理局]和[新加坡集邮馆]的赞助(www.spm.org.sg),及授权使用新加坡邮票影像.

AXE AND CHOPPER

It is not uncommon to find puzzlers quarrelling fiercely over the claim of being the first to think of a puzzle. Let's relax and enjoy this anecdote.

Once upon a time, a blacksmith made the first chopper in a village. His neighbour, who was also a blacksmith, made this remark when he saw the new tool: "The first tool I ever made was an axe which I didn’t like to use because it was too heavy. I was thinking about making a chopper, but never got around to it. Hence, unless you invented this tool before last year’s Christmas, it was I who thought of it first."

Another neighbour also made the following comment: "I like to bring your attention to the fact that the idea of using a metal blade to cut things is older than your invention of the chopper. My friend has used the idea by making an axe to cut trees. Of course, his axe can also be used to chop elephant's meat and even chicken's meat. However, he seldom uses it to chop chickens because it is too heavy. The difference between your chopper and his axe is just like the difference between David and Goliath.

In response, the blacksmith, who invented the chopper, said: "You can say what you like. Nobody will stop you from using your axe to chop vegetables, chickens and fish in the kitchen."

************* THE END ***************

Henry Kwok 3-26-07


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		Sudoku Variants



		Rectangle Outline Sudoku 長方框數獨 Rules of Rectangle Outline Sudoku This is a Sudoku variant on a standard 9x9 grid with all but two rules as in a standard Sudoku. The object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 so that each row, each column and each box must contain all the nine different numbers 1 to 9 irrespective of order. The two additional rules of the variant are as follows: A. Each of the two main diagonals of the puzzle must have the numbers 1 to 9 irrespective of order. B. Within the 9x9 pattern there is a highlighted outline of a "rectangle" with its width and length containing four cells and six cells respectively. Each width of the "rectangle" outline must contain all the four different numbers 1 to 4; their order along the width of the outline does not matter. Similarly, each length of the "rectangle" outline must contain all the six different numbers 1 to 6; their order along the length of the outline does not matter. 長方框數獨長方框數獨是除了原有的傳統數獨三個條件之外,另外增加兩個條件: 一,九員大對角線中九個數不能重複. 二,長方形長距每邊必需有一到六等六個數字,並且不能重複;長方形短距每邊必需有一到四等四個數字,並且不能重複. 长方框数独长方框数独是除了原有的传统数独三个条件之外另外增加两个条件: 一:九员大对角线中九个数不能重复. 二:长方形长距每边必需有一到六等六个数字并且不能重复长方形短距每边必需有一到四等四个数字并且不能重复. Henry Kwok 雲深 11-09-2006 Twin Corresponding Sudokus 對照孿生數獨 Rules of Twin Corresponding Sudokus Each row, each column and each of the nine 3x3 boxes in Twin A and Twin B contain 9 elements - a total of 9 Chinese characters in Twin A and all the nine different numbers 1 to 9 in Twin B. This variant consists of a pair of linked standard sudoku puzzles, with some Chinese characters and digits as starters in twin A and twin B respectively. To get a complete solution for the twin puzzles, we have to solve each twin puzzle with the usual strategies but we can only get the complete solution for the twin puzzles by substituting the corresponding element of each cell from one twin sudoku into the other. It is easier, particularly for those who do not understand Chinese, to substitute each Chinese character with a number in a blank grid in order to solve twin A. For instance, he can replace the Chinese character in the square (4,9) in row 4 column 9 with the digit 8. Similarly, he can replace the same Chinese character in (6,5) and (8,4) with the same digit. 對照孿生數獨這一對數獨是完全相同的孿生子.只是外表有些許差異. 对照孪生数独这一对数独是完全相同的孪生子.只是外表有些许差异. Henry Kwok雲深 2006-12-24 Twin Equivalent Sudokus 對調孿生數獨 Rules of Twin Equivalent Sudokus This sudoku variant consists of a pair of linked standard sudoku puzzles – one puzzle with some starting digits and the other puzzle with some members from a set of nine elements (Singapore stamp images). As usual, the object of this sudoku variant is to fill in the whole of the 9x9 grid with digits 1 through 9 or a set of nine elements (Singapore stamp images) so that each row, each column or each box contains all the digits 1 through 9 or nine elements (Singapore stamp images). Both puzzles are essentially equivalent or the same puzzle. Twin B is related to twin A in the following ways: Given that twin A is the original puzzle, twin B is obtained 1. By exchanging a block of columns (rows) with another block of columns (rows) in the original puzzle; 2. By rearranging all the digits 1 through 9 or nine elements (Singapore stamp images) so that each digit or element in twin B corresponds one to one to a digit or an element in twin A. 對調孿生數獨對調孿生數獨是兩個緊密相關的標準數獨.兩題中每個圖(新加坡郵票)與每個數字的排列基本上是一對一完全對應的.只是迷面把其中一題裡頭兩行或兩列對調了. 对调孪生数独对调孪生数独是两个紧密相关的标准数独.两题中每个图(新加坡邮票)与每个数字的排列基本上是一对一完全对应的.只是迷面把其中一题里头两行或两列对调了. Henry Kwok 雲深 11/23/2006 We would like to thank Mr. Henry Kwok’s design of this special Sudoku puzzle and the Infocomm Development Authority of Singapore and the Singapore Philatelic Museum (www.spm.org.sg) for their approval to display Singapore Postage stamps on our web site. 數獨園網站感謝郭雲深先生的創新設計,及[新加坡資訊通信發展管理局]和[新加坡集郵館]的贊助(www.spm.org.sg),及授權使用新加坡邮票影像. 数独园网站感谢郭云深先生的创新设计,及[新加坡资讯通信发展管理局]和[新加坡集邮馆]的赞助(www.spm.org.sg),及授权使用新加坡邮票影像. Drjsguo 11/28/2006 AXE AND CHOPPER It is not uncommon to find puzzlers quarrelling fiercely over the claim of being the first to think of a puzzle. Let's relax and enjoy this anecdote. Once upon a time, a blacksmith made the first chopper in a village. His neighbour, who was also a blacksmith, made this remark when he saw the new tool: "The first tool I ever made was an axe which I didn’t like to use because it was too heavy. I was thinking about making a chopper, but never got around to it. Hence, unless you invented this tool before last year’s Christmas, it was I who thought of it first." Another neighbour also made the following comment: "I like to bring your attention to the fact that the idea of using a metal blade to cut things is older than your invention of the chopper. My friend has used the idea by making an axe to cut trees. Of course, his axe can also be used to chop elephant's meat and even chicken's meat. However, he seldom uses it to chop chickens because it is too heavy. The difference between your chopper and his axe is just like the difference between David and Goliath. In response, the blacksmith, who invented the chopper, said: "You can say what you like. Nobody will stop you from using your axe to chop vegetables, chickens and fish in the kitchen." *********** THE END ************* Henry Kwok 3-26-07