神秘方塊

15
Albrecht Dürer And his magic square 神神神神 神神神神

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Page 1: 神秘方塊

Albrecht Dürer

And his magic square

神秘方塊神秘方塊

Page 2: 神秘方塊

On the wall to the right hangs the magic square Dürer created.

神秘方塊神秘方塊

Page 3: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

It looks like this.

And what is the magic?It is the number 34! This number is the sum of the various fields within the magic square.

太神奇了太神奇了!!

用橫、豎、斜各種方式將數位用橫、豎、斜各種方式將數位元元加起來都是元元加起來都是 3434

Page 4: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of all rows is34!

橫著加起來橫著加起來

Page 5: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of all columns is 34!

豎著加起來豎著加起來

Page 6: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of all corners is34!

各角加起來各角加起來

Page 7: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

Move the fields one step clockwise and it is still 34!

類似位置加起來類似位置加起來

Page 8: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

Move the fields another step and it is still 34!

類似位置加起來類似位置加起來

Page 9: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of the fields in the center is 34!

中間位置加起來中間位置加起來

Page 10: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

5 + 9 + 8 + 12 = 34

這些位置加起來這些位置加起來

Page 11: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

3 + 2 + 15 + 14 = 34

這些位置加起來

Page 12: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The same is true for the diagonals. . .

這些位置加起來

Page 13: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

And so on: 34!

這些位置加起來

Page 14: 神秘方塊

16 3 2 13

5 10 11 8

9 6 7 12

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!

此神秘方塊他創於此神秘方塊他創於 15141514年年

15141514年年

Page 15: 神秘方塊

Genius!

. . . He was very proud for creating this magic square – and he should be!

這人確實是天才這人確實是天才112/04/07112/04/07 下午 09:44下午 09:44