Lo Shu Square (simplified Chinese: 洛书; traditional Chinese: 洛書; pinyin: luò shū; also written 雒書; literally: Luo (River) Book/Scroll) or the Nine Halls Diagram (simplified Chinese: 九宫图; traditional Chinese: 九宮圖; pinyin: jiǔ gōng tú), is the unique normal magic square of order three.

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  • Lo Shu Square (simplified Chinese: 洛书; traditional Chinese: 洛書; pinyin: luò shū; also written 雒書; literally: Luo (River) Book/Scroll) or the Nine Halls Diagram (simplified Chinese: 九宫图; traditional Chinese: 九宮圖; pinyin: jiǔ gōng tú), is the unique normal magic square of order three. Lo Shu is part of the legacy of the most ancient Chinese mathematical and divinatory (Yi Jing 易經) traditions, and is an important emblem in Feng Shui (風水), the art of geomancy concerned with the placement of objects in relation to the flow of qi (氣) 'natural energy'.Chinese legends concerning the pre-historic Emperor Yu (夏禹) tell of the Lo Shu, often in connection with the Ho Tu (河圖) figure and 8 trigrams. In ancient China there was a huge deluge: the people offered sacrifices to the god of one of the flooding rivers, the Luo river (洛河), to try to calm his anger. A magical turtle emerged from the water with the curious and decidedly unnatural (for a turtle shell) Lo Shu pattern on its shell: circular dots giving unary (base 1) representations of the integers one through nine are arranged in a three-by-three grid.The odd and even numbers alternate in the periphery of the Lo Shu pattern; the 4 even numbers are at the four corners, and the 5 odd numbers (outnumbering the even numbers by one) form a cross in the center of the square. The sums in each of the 3 rows, in each of the 3 columns, and in both diagonals, are all 15 (the number of days in each of the 24 cycles of the Chinese solar year). Since 5 is in the center cell, the sum of any two other cells that are directly through the 5 from each other is 10 (e.g., opposite corners add up to 10, the number of the Ho Tu (河圖)).The Lo Shu is sometimes connected numerologically with the Ba Gua 八卦 "8 trigrams", which can be arranged in the 8 outer cells, reminiscent of circular trigram diagrams. Because north is placed at the bottom of maps in China, the 3x3 magic square having number 1 at the bottom and 9 at the top is used in preference to the other rotations/reflections. As seen in the "Later Heaven" arrangement, 1 and 9 correspond with ☵ Kǎn 水 "Water" and ☲ Lí 火 "Fire" respectively. In the "Early Heaven" arrangement, they would correspond with ☷ Kūn 地 "Earth" and ☰ Qián 天 "Heaven" respectively. Like the Ho Tu (河圖), the Lo Shu square, in conjunction with the 8 trigrams, is sometimes used as a mandalic representation important in Feng Shui (風水) geomancy.
  • Le carré de Luo Shu est un diagramme mathématique et ésotérique chinois du 2ème siècle avant JC. C’est le plus ancien carré magique d'ordre 3 connu à ce jour. Le Carré de Luo Shu un élément important du Feng shui. Ce diagramme est probablement à l'origine de nombreux jeux mathématiques, comme le carré magique, le carré latin ou plus récemment, le sudoku.En chinois, le carré, nommé le diagramme des neufs palais (chinois simplifié : 九宫图 ; chinois traditionnel : 九宮圖 ; pinyin : jiǔ gōng tú ; littéralement : « diagramme des neufs palais ») ou calcul des neufs palais (chinois : 九宫算 ; pinyin : jiǔ gōng suàn), est aussi connu simplement sous le nom de Luo Shu (chinois simplifié : 洛书 ; chinois traditionnel : 洛書 ; pinyin : luò shū ; littéralement : « Livre de (la rivière) Luo »).
  • 河図洛書(かとらくしょ)は、古代中国における伝説上の瑞祥である河図(かと)と洛書(らくしょ)を総称したもの。略して図書(としょ)ともいう。儒教において、八卦や洪範九疇の起源と考えられて重視された。
  • Luoshu (chiń. upr.: 洛书; chiń. trad.: 洛書; pinyin: luòshū; dosł. „Księga rzeki Luo”) – chiński kwadrat magiczny, mistyczny diagram wynaleziony według legendy przez Fuxi. Stosowany w sztuce feng shui. Parzyste liczby to żeńskie elementy yin, które rozmieszczono w rogach kwadratu, zaś liczby nieparzyste symbolizujące element męski yang są rozmieszczone w postaci krzyża ze znakiem 'wu' w środku. Centralna liczba odpowiada w symbolice człowiekowi i jest najmocniejszym elementem. Kwadrat luoshu miał schematycznie przedstawiać zmiany pomiędzy elementami żeńskimi i męskimi, jakie zachodzą w ciągu roku. == Przypisy ==
  • 九宫图,即三阶幻方,又称九宫算或洛书。1977年中国考古学家在安徽阜阳县双古堆西汉古墓中发现汉文帝七年(前173年)的太乙九宫占盘,乃是中国汉代幻方的实物。東漢《數術記遺》也有記載。南宋杨辉著《续古摘奇算法》中叙述三阶幻方构造法:“九子斜排,上下对易,左右相更,四维挺出,戴九履一,左三右七,二四为肩,六八为足”,比法国数学家Claude-Gaspard Bachet提出的方法早三百余年。
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  • jiǔ gōng tú
  • luò shū
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  • 九宮圖
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  • 河図洛書(かとらくしょ)は、古代中国における伝説上の瑞祥である河図(かと)と洛書(らくしょ)を総称したもの。略して図書(としょ)ともいう。儒教において、八卦や洪範九疇の起源と考えられて重視された。
  • 九宫图,即三阶幻方,又称九宫算或洛书。1977年中国考古学家在安徽阜阳县双古堆西汉古墓中发现汉文帝七年(前173年)的太乙九宫占盘,乃是中国汉代幻方的实物。東漢《數術記遺》也有記載。南宋杨辉著《续古摘奇算法》中叙述三阶幻方构造法:“九子斜排,上下对易,左右相更,四维挺出,戴九履一,左三右七,二四为肩,六八为足”,比法国数学家Claude-Gaspard Bachet提出的方法早三百余年。
  • Lo Shu Square (simplified Chinese: 洛书; traditional Chinese: 洛書; pinyin: luò shū; also written 雒書; literally: Luo (River) Book/Scroll) or the Nine Halls Diagram (simplified Chinese: 九宫图; traditional Chinese: 九宮圖; pinyin: jiǔ gōng tú), is the unique normal magic square of order three.
  • Le carré de Luo Shu est un diagramme mathématique et ésotérique chinois du 2ème siècle avant JC. C’est le plus ancien carré magique d'ordre 3 connu à ce jour. Le Carré de Luo Shu un élément important du Feng shui.
  • Luoshu (chiń. upr.: 洛书; chiń. trad.: 洛書; pinyin: luòshū; dosł. „Księga rzeki Luo”) – chiński kwadrat magiczny, mistyczny diagram wynaleziony według legendy przez Fuxi. Stosowany w sztuce feng shui. Parzyste liczby to żeńskie elementy yin, które rozmieszczono w rogach kwadratu, zaś liczby nieparzyste symbolizujące element męski yang są rozmieszczone w postaci krzyża ze znakiem 'wu' w środku. Centralna liczba odpowiada w symbolice człowiekowi i jest najmocniejszym elementem.
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  • Lo Shu Square
  • Quadrato Lo Shu
  • Carré de Luo Shu
  • 河図洛書
  • Luoshu
  • 九宫图
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