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一、丢勒所作著名版画《忧郁》与四阶幻方

2011-07-22 00:00阅读:
一、丢勒所作著名版画《忧郁》(Melencolia I)与四阶幻方
Albrecht Dürer and his Magic Square

阿尔布莱希特•丢勒(1471-1528)是德国的著名版画家。

一、丢勒所作著名版画《忧郁》与四阶幻方
On the wall to the right hangs the magic square Dürer created.
在墙上靠右手边有一个幻方。丢勒特别看重它。
一、丢勒所作著名版画《忧郁》与四阶幻方
It looks like this. 其数字表示如下:
16
3
2
13
5
10
11
8
9
6
7
12
4
15
14
1

And what is the magic? 它的魔幻在哪里呢?
It is the number 34! 那就是数字34!
This number is the sum of the various fields within the magic square. 这个数字是由幻方里不同段数字组合相加的。
16
3
2
13
5
10
11
8
9
6
7
12
4
15
14
1

The sum of all row is 34! 横行的组合相加是34!
The sum of all columns is 34! 纵列的组合相加是34!
The sum of all corners is 34! 各角的组合相加是34!

3 8 14 9
Move the fields one step clockwise and it is still 34!顺时针马步移动组合相加还是34!

2 12 15 5
Move the fields another step and it is still 34! 顺时针另一马步也是34!

10 11
6 7
The sum of the fields in the center is 34! 核心组合相加是34!

5 8
9 12
Byside 两边组合相加是34!

3 2
15 14
Top and buttom 顶边与底边组合相加是34!

4 6 11 13
16 10 7 1
The same is true for th diagonals... 对角线组合相加是34!

5 3 12 14
2 8 15 9
And so on: 34 还有多种是组合相加为34!

4 15 14 1
Dürer created this square in 1514. “D“ for Dürer is the 4th letter of the alphabet and “A“ for Albrecht is the 1st! 丢勒是在1514年创建的这个幻方。D为丢勒的第一字母,字母排行为4,A为阿尔布莱希特的第一字母,字母排行为1。

Genius! 天才呀!
He was very proud for creating this magic square – and he should be! 他对此十分自豪。而且,理应如此。

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