About Dieluohan

Web-Sudoku (九九網狀數獨) is a special Sudoku. Each digit in Web-Sudoku is interconnected to all other digits like a cobweb. In addition to the classic Sudoku rule, Web-Sudoku limits the digits on the two diagonal lines that must also appear once and only once (兩條大對角線每個數目也只能各出現一次). It is also named X-Sudoku (又名X數獨) because the two diagonals form a shape exactly like character "X". But I think to name it "Web-Sudoku" is more appropriate, because it is really like a spider web with each digit interconnected to every direction with all other digits. Since Web-Sudoku is more constrained than classic Sudoku, the possibilities of the Web-Sudoku combinations certainly is more limited than classic Sudoku. Interestingly, to solve the Web-Sudoku puzzle is not necessarily more difficult than the classic Sudoku, since the two diagonal lines provide additional information for solving the puzzle.

I have seen multiple Sudoku stack up together to form a giant Sudoku puzzle. For example, Samurai Sudoku, which combines five different Sudoku together with a central Sudoku superimposable to four other Sudoku at each corner, shaped like a giant "X". This type of Sudoku provides more challenge for the puzzle designers and the puzzle players. But the puzzle itself is not that much more difficult to design, because each peripheral Sudoku only attaches at one corner to the central Sudoku table. To make a giant Web-Sudoku puzzle in which each unit is interconnected like a ring presents a higher degree of challenge for the puzzle designer. It took me a while to construct the first four-member Web-Sudoku ring (四連環九九網狀數獨圈) successfully. In this four-member Web-Sudoku ring, each unit is interconnected to the other two at the corner with a three-by-three unit. Of course, it is also more difficult to solve a puzzle like that because of its size and interconnection. Over here, you will find different types of challenging Sudoku puzzles. We hope you enjoy them.

數獨,相傳最早起源於中國,叫作魔術方塊 (Magic squares,也許我們應該將數獨正名為"魔數"或是"數魔"方纔正確).後經印度西傳到阿拉伯在西元九九○年始有文字記載.現代數獨遊戲則始于一九七九年,原先叫做Number Place.一九八六年風行日本後稱作Sudoku(数字は独身に限る, "Suuji wa dokushin ni kagiru").是一個目前非常大眾化,風行全世界的遊戲.因為它不需要語言就能玩.故非常地受歡迎.

数独,相传最早起源于中国,叫作魔术方块 (Magic squares,也许我们应该将数独正名为"魔数"或是"数魔"方才正确).后经印度西传到阿拉伯在西元九九○年始有文字记载.现代数独游戏则始于一九七九年,原先叫做Number Place.一九八六年风行日本后称作Sudoku(数字は独身に限る, "Suuji wa dokushin ni kagiru").是一个目前非常大众化,风行全世界的游戏.因为它不需要语言就能玩.故非常地受欢迎.

This Super Web Sudoku has a missing link. One of the diagonal lines is missing(網開一面). I hope someone will find the link some day. This Super Web Sudoku contains three 9X9 web Sudokus and a Semi 9X9 Web Sudoku (with one diagonal line) to form a very compact 15X15 configuration. Each 9X9 Sudoku is linked with the other three either by a 3X3 corner or by a 3X9 edge. This puzzle shows a Chinese character "Dragon" (龍,龙).

Introducing a new special Rainbow Sudoku Ring (四連環彩虹數獨圈).

This colored Rainbow Sudoku puzzle is a ring of four individual 9X9 Rainbow Sudokus (九九彩虹數獨), arranged in a very compact 15X15 manner. The Rainbow Sudoku is a traditional Sudoku painted with nine different colors , and with an additional restriction. If we exam all the nine 3X3 square blocks, the numbers at the same colored squares, or on the same positions, of all the 3X3 square blocks should also not be repeated (每個3X3小九宮上相同位置,或同颜色,方塊中的數字也不能重複).

I am delighted to have found the magnificent seven layered Dieluohan Sudoku (七層疊羅漢數魔), with seven 9X9 Rainbow Sudokus superimposed to each other to form a 15X15 super Rainbow Sudoku rings (七連環彩虹數魔圈). I take the advantage of its big square size to write Chinese puzzles. One thing comes to my mind is putting my late father’s poem, which he composed years ago during WWII when he fought bravely for his motherland’s survival. I only take a portion of the poem for the exhibition. It says: "How may I find the magic sword, to fight against the unfairness in humankind?" (而今安得橫魔劍,一向人間掃不平)

Drjsguo 9-23-2006


				*About Dieluohan*



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		Dieluohan 疊羅漢 Dieluohan (疊羅漢, pronounced Die-Lo-Han), in Chinese, is a show of acrobatics with many people forming a multi-layered human body pattern. A Sudoku can also be formed using a similar superimposed Dieluohan pattern if given enough numbers of Sudoku to play. Dieluohan show in Beijing theater, 2005 北京劇院的疊羅漢表演 Dieluohan and Web Sudoku Ring 網型疊羅漢數獨圈



		Web-Sudoku (九九網狀數獨) is a special Sudoku. Each digit in Web-Sudoku is interconnected to all other digits like a cobweb. In addition to the classic Sudoku rule, Web-Sudoku limits the digits on the two diagonal lines that must also appear once and only once (兩條大對角線每個數目也只能各出現一次). It is also named X-Sudoku (又名X數獨) because the two diagonals form a shape exactly like character "X". But I think to name it "Web-Sudoku" is more appropriate, because it is really like a spider web with each digit interconnected to every direction with all other digits. Since Web-Sudoku is more constrained than classic Sudoku, the possibilities of the Web-Sudoku combinations certainly is more limited than classic Sudoku. Interestingly, to solve the Web-Sudoku puzzle is not necessarily more difficult than the classic Sudoku, since the two diagonal lines provide additional information for solving the puzzle. I have seen multiple Sudoku stack up together to form a giant Sudoku puzzle. For example, Samurai Sudoku, which combines five different Sudoku together with a central Sudoku superimposable to four other Sudoku at each corner, shaped like a giant "X". This type of Sudoku provides more challenge for the puzzle designers and the puzzle players. But the puzzle itself is not that much more difficult to design, because each peripheral Sudoku only attaches at one corner to the central Sudoku table. To make a giant Web-Sudoku puzzle in which each unit is interconnected like a ring presents a higher degree of challenge for the puzzle designer. It took me a while to construct the first four-member Web-Sudoku ring (四連環九九網狀數獨圈) successfully. In this four-member Web-Sudoku ring, each unit is interconnected to the other two at the corner with a three-by-three unit. Of course, it is also more difficult to solve a puzzle like that because of its size and interconnection. Over here, you will find different types of challenging Sudoku puzzles. We hope you enjoy them. 數獨,相傳最早起源於中國,叫作魔術方塊 (Magic squares,也許我們應該將數獨正名為"魔數"或是"數魔"方纔正確).後經印度西傳到阿拉伯在西元九九○年始有文字記載.現代數獨遊戲則始于一九七九年,原先叫做Number Place.一九八六年風行日本後稱作Sudoku(数字は独身に限る, "Suuji wa dokushin ni kagiru").是一個目前非常大眾化,風行全世界的遊戲.因為它不需要語言就能玩.故非常地受歡迎. 數獨除了用數字,它還可以用符號,比如字母, 顏色,或圖案等等所組成.另外它還可以有不同的大小,可以有不同的規則.故數獨有很多种形式.九九符號數獨便是其中之一.九九符號數獨,因它的複雜性,又是最具代表性的數獨. 九九符號數獨,含有九乘九,共八十一個小方格按正方形排列,用數字,字母, 顏色,或圖案等等符號所組成的一種非常奇特的排列.它的特性是一: 全部只用九個符號來排列. 二: 每一行裡,每個符號不能重復出現. 三: 每一列裡,每個符號也不能重復出現. 四: 每一個三乘三的獨立小方格群體裡,每個符號亦不能重復出現. 九九網狀符號數獨(Web Sudoku)更是像蜘蛛網一樣能到處銜接.故它加入了另一個特性: 五: 兩個大對角線上的符號也不能重復出現如果全部用由一到九的數目字來組成的九九網狀符號數獨,就叫作九九網狀數獨.我在這個網站上所登的許多迷面, 都是把四個或五個不同的九九網狀數獨圍成一個圈或面,而組成的一個超級九九網狀數獨圈(Web Sudoku Ring). 如果是四連環網狀數獨圈,則每個單獨的九九網狀數獨的兩個三乘三的邊角,都要与另外兩個九九網狀數獨的三乘三邊角相連著. 如果是五連環網狀數獨圈,則是在四連環網狀數獨圈中心,再形成一個九九網狀數獨.這個網狀數獨所有邊上的七十二個小方格都要同其它的九九網狀數獨共用的.換句話說,也就是位於中央的網狀數獨,它的每一個邊都要與其它三個九九網狀數獨共用同樣的一組數目字.或者是一個三乘三的邊角,或者是一整個三乘九的邊.這個連環網狀數獨圈是同五個數獨重疊的日本武士數獨(Samurai Sudoku)不一樣的.日本武士數獨是只有中央的一個數獨與其它四個數獨經由簡單的一個三乘三邊角重疊合成的.同時通常只用比較不複雜的九九數獨,而不是用九九網狀數獨來合成. 故不能稱其為牽一髮而動全身的超級大網. 日本武士數獨的合成及解答都比較著容易. 但我們也不要忽略了在五連環網狀數獨圈裡那十個大對角線的作用.有時後它們卻是能快速輕易解開迷面的靈鑰. 當然製作只有單一解答的迷面是最好的迷面. 但那些有多個解答的迷面,我相信也是不會減少大家解題的樂趣的.尤其想法能找到所有的解,未嘗不是一個更充滿刺激的挑戰. 希望喜歡探討九九數獨圈的朋友能喜歡這個數獨園.也希望這個數獨園能在未來很快的能超越九九和四連環,五連環的局限,發展到另一個境界. 二○○六年八月廿三日数独,相传最早起源于中国,叫作魔术方块 (Magic squares,也许我们应该将数独正名为"魔数"或是"数魔"方才正确).后经印度西传到阿拉伯在西元九九○年始有文字记载.现代数独游戏则始于一九七九年,原先叫做Number Place.一九八六年风行日本后称作Sudoku(数字は独身に限る, "Suuji wa dokushin ni kagiru").是一个目前非常大众化,风行全世界的游戏.因为它不需要语言就能玩.故非常地受欢迎. 数独除了用数字,它还可以用符号,比如字母, 颜色,或图案等等所组成.另外它还可以有不同的大小,可以有不同的规则.故数独有很多种形式.九九符号数独便是其中之一.九九符号数独,因它的复杂性,又是最具代表性的数独. 九九符号数独,含有九乘九,共八十一个小方格按正方形排列,用数字,字母, 颜色,或图案等等符号所组成的一种非常奇特的排列.它的特性是一: 全部只用九个符号来排列. 二: 每一行里,每个符号不能重复出现. 三: 每一列里,每个符号也不能重复出现. 四: 每一个三乘三的独立小方格群体里,每个符号亦不能重复出现. 九九网状符号数独(Web Sudoku)更是像蜘蛛网一样能到处衔接.故它加入了另一个特性: 五: 两个大对角线上的符号也不能重复出现如果全部用由一到九的数目字来组成的九九网状符号数独,就叫作九九网状数独.我在这个网站上所登的许多迷面, 都是把四个或五个不同的九九网状数独围成一个圈或面,而组成的一个超级九九网状数独圈(Web Sudoku Ring). 如果是四连环网状数独圈,则每个单独的九九网状数独的两个三乘三的边角,都要与另外两个九九网状数独的三乘三边角相连着. 如果是五连环网状数独圈,则是在四连环网状数独圈中心,再形成一个九九网状数独.这个网状数独所有边上的七十二个小方格都要同其它的九九网状数独共用的.换句话说,也就是位于中央的网状数独,它的每一个边都要与其它三个九九网状数独共用同样的一组数目字.或者是一个三乘三的边角,或者是一整个三乘九的边.这个连环网状数独圈是同五个数独重叠的日本武士数独(Samurai Sudoku)不一样的.日本武士数独是只有中央的一个数独与其它四个数独经由简单的一个三乘三边角重叠合成的.同时通常只用比较不复杂的九九数独,而不是用九九网状数独来合成. 故不能称其为牵一发而动全身的超级大网. 日本武士数独的合成及解答都比较著容易. 但我们也不要忽略了在五连环网状数独圈里那十个大对角线的作用.有时后它们却是能快速轻易解开迷面的灵钥. 当然制作只有单一解答的迷面是最好的迷面. 但那些有多个解答的迷面,我相信也是不会减少大家解题的乐趣的.尤其想法能找到所有的解,未尝不是一个更充满刺激的挑战. 希望喜欢探讨九九数独圈的朋友能喜欢这个数独园.也希望这个数独园能在未来很快的能超越九九和四连环,五连环的局限,发展到另一个境界. 二○○六年八月廿三日 This Super Web Sudoku has a missing link. One of the diagonal lines is missing(網開一面). I hope someone will find the link some day. This Super Web Sudoku contains three 9X9 web Sudokus and a Semi 9X9 Web Sudoku (with one diagonal line) to form a very compact 15X15 configuration. Each 9X9 Sudoku is linked with the other three either by a 3X3 corner or by a 3X9 edge. This puzzle shows a Chinese character "Dragon" (龍,龙). Dieluohan and Rainbow Sudoku Ring 彩虹疊羅漢數獨圈 Introducing a new special Rainbow Sudoku Ring (四連環彩虹數獨圈). This colored Rainbow Sudoku puzzle is a ring of four individual 9X9 Rainbow Sudokus (九九彩虹數獨), arranged in a very compact 15X15 manner. The Rainbow Sudoku is a traditional Sudoku painted with nine different colors , and with an additional restriction. If we exam all the nine 3X3 square blocks, the numbers at the same colored squares, or on the same positions, of all the 3X3 square blocks should also not be repeated (每個3X3小九宮上相同位置,或同颜色,方塊中的數字也不能重複). I am delighted to have found the magnificent seven layered Dieluohan Sudoku (七層疊羅漢數魔), with seven 9X9 Rainbow Sudokus superimposed to each other to form a 15X15 super Rainbow Sudoku rings (七連環彩虹數魔圈). I take the advantage of its big square size to write Chinese puzzles. One thing comes to my mind is putting my late father’s poem, which he composed years ago during WWII when he fought bravely for his motherland’s survival. I only take a portion of the poem for the exhibition. It says: "How may I find the magic sword, to fight against the unfairness in humankind?" (而今安得橫魔劍,一向人間掃不平) Drjsguo 9-23-2006



		Dieluohan and Rainbow Web Sudoku Ring 彩虹網疊羅漢數獨圈 It is my pleasure to present a nine-layered Rainbow-Web Dieluohan Sudoku puzzle. In this puzzle, 9 individual Rainbow-Web Sudokus are packed together into one. Each Sudoku shares one 3X3 block with eight other Sudokus. If you are interested to know more, please feel free to check the Sudoku Research Paper section. 介紹一個九層疊羅漢.每一個九九彩虹網數魔都與其他八個九九彩虹網數魔共用一個三三九宮.如果有興趣做進一步的了解,歡迎參考本站的研究報告. 介绍一个九层叠罗汉.每一个九九彩虹网数魔都与其他八个九九彩虹网数魔共用一个三三九宫.如果有兴趣做进一步的了解,欢迎参考本站的研究报告. Drjsguo 11-05-2006