八卦与数学(随便写写)–by豪迈(horror)

八卦与数学(随便写写)

–by豪迈(horror)

上次发了篇关于八卦的,是从百度上搜来的。感觉中国传统文化还是很有底蕴的。

??? 看到里面的八卦数学,感觉很有意思,不管它是不是附会,但吻合很好,姑且拿来讲一讲。

八卦与数学(随便写写)

二进制,是指最早在计算机领域广泛应用的编码技术,现在已经扩大到各个领域,可以对事物编码。我最早接触二进制是在上小学参加奥赛的时候,当时只是感觉很有意思。我们用十进制表示的东西用二进制表示可以进行简单的游戏,如猜谜等。那时只是着眼于二进制与十进制间的互换。而后在电视上看到了玛雅文化,好像当时讲的是八进制,随着以后的学习,又看到了十六进制,无论怎么变化,它们都是二进制的衍化。

??? 曾经不明白为什么要用二进制,因为这个编码表示一个数字变长了。只是困惑,以为只是可以做数字游戏。而后,接触到了物理,接触到了计算机,知道了物理元件容易区分的只有两个状态。或许这就是真正的原因吧

??? 八卦,流传自中国很早的年代,据说“文王拘而演周易”这里,也许是指的后天的六十四卦。至于具体八卦的说法以及符号的由来,没有确凿的佐证。

??? 而根据上述的图的顺序,依次代表“天”“地”“雷”“山”“火”“水”“泽”“风”(从此可以看出,五行中的“金木水火土”或者“风雷水火土”与八卦也有关系)。而如果我们仔细的观察他们的符号,我们会发现,如果以━━━代表0; ━ ━代表1,那八卦的每一个符号将是一个三位的二进制数(高位在下)。

依次是:

乾(000)坤(111)震(011)艮(110)离(010)坎(101)兑(001)巽(100)

那么它们依次代表的十进制数字将是:

乾(0)坤(7)震(3)艮(6)离(2)坎(5)兑(1)巽(4)

因此按照从小到大排序将是:

乾(0)兑(1)离(2)震(3)巽(4)坎(5)艮(6)坤(7)

??? 所以八卦数学就是按照这个顺序,是:乾兑离震巽坎艮坤。重新编序用一到八表示就是我们常见的八卦数学:乾一,兑二,离三,震四,巽五,坎六,艮七,坤八。

??? 那么据此类推,六十四卦本身是由两个八卦符号互相排列组成的,则8*8=64 。按照上述描述则六十四卦将是六位二进制数,或者说两个八进制数(根据二进制和八进制之间的转化关系)

六十四卦分别如下:

乾为天-坤为地-水雷屯-山水蒙-水天需-天水讼-地水师-水地比

风天小畜-天泽履-地天泰-天地否-天火同人-火天大有-地山谦-雷地豫

泽雷随-山风蛊-地泽临-风地观-火雷噬嗑-山火贲-山地剥-地雷复

天雷旡妄-山天大畜-山雷颐-泽风大过-坎为水-离为火-泽山咸-雷风恒

天山遁-雷天大壮-火地晋-地火明夷-风火家人-火泽睽-水山蹇-雷水解

山泽损-风雷益-泽天夬-天风姤-泽地萃-地风升-泽水困-水风井

泽火革-火风鼎-震为雷-艮为山-风山渐-雷泽归妹-雷火丰-火山旅

巽为风-兑为泽-风水涣-水泽节-风泽中孚-雷山小过-水火既济-火水未济

 

乾(00)坤(77)屯(35)蒙(56)需(05)讼(50)师(57)比(75)

小畜(04)履(10)泰(07)否(70)同人(20)大有(02)谦(67)豫(73)

随(31)蛊(46)临(17)观(74)噬嗑(32)贲(26)剥(76)复(37)

旡妄(30)大畜(06)颐(36)大过(41)水(55)火(22)咸(61)恒(43)

遁(60)大壮(03)晋(72)明夷(27)家人(24)睽(12)蹇(65)解(53)

损(16)益(34)夬(01)姤(40)萃(61)升(47)困(51)井(45)

革(21)鼎(42)雷(33)艮(66)渐(64)归妹(13)丰(23)旅(62)

巽(44)兑(11)涣(54)节(15)中孚(14)小过(63)既济(25)未济(52)

换为二进制则有个规律:(一个八进制数对应三位二进制数,如下)
八卦与数学(随便写写)

因此依次转换为二进制数如下:

000000-111111-011101-101110-000101-101000-101111-111101

000100-001000-000111-111000-010000-000010-110111-111011

011001-100110-001111-111100-011010-010110-111110-011111

011000-000110-011110-100001-101101-010010-110001-100011

110000-000011-111010-010111-010100-001010-110101-101011

001110-011100-000001-100000-110001-100111-101001-100101

010001-100010-011011-110110-110100-001011-010011-110010

100100-001001-101100-001101-001100-110011-010101-101010

因此第一行举例如下:
八卦与数学(随便写写)
今天就整理到这里,其余的以后再补充。

2008年6月27日14:45:56 By豪迈(Horror)

 

45 thoughts on “八卦与数学(随便写写)–by豪迈(horror)

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