albrecht dürer

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Albrecht Dürer And his magic square

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Albrecht Dürer. And his magic square. On the wall to the right hangs the magic square Dürer created. 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. The sum of all rows is 34!. - PowerPoint PPT Presentation

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Page 1: Albrecht  Dürer

Albrecht Dürer

And his magic square

Page 2: Albrecht  Dürer

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

Page 3: Albrecht  Dürer

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.

Page 4: Albrecht  Dürer

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of all rows is 34!

Page 5: Albrecht  Dürer

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of all columns is 34!

Page 6: Albrecht  Dürer

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

The sum of all corners is 34!

Page 7: Albrecht  Dürer

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!

Page 8: Albrecht  Dürer

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!

Page 9: Albrecht  Dürer

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!

Page 10: Albrecht  Dürer

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

5 + 9 + 8 + 12 = 34

Page 11: Albrecht  Dürer

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

3 + 2 + 15 + 14 = 34

Page 12: Albrecht  Dürer

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. . .

Page 13: Albrecht  Dürer

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!

Page 14: Albrecht  Dürer

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!

Page 15: Albrecht  Dürer

Genius!

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