Albrecht Dürer‘s Magic Square

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Dan Graur

The beauty of number 34.

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Dürer‘s
magic
square
Albrecht Dürer. 1514.
Melencolia 1. Engraving
on Paper. 24 cm by 18.8
cm (shown copy from
Staatliche Kunsthalle
Karlsruhe, Germany).

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
The magic square
What is the magic?
It is the number 34!
The sum of the various fields
within the magic square are
always 34.

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
The sum of all rows is 34!

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
The sum of all columns is 34!

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
The sum of all corners is 34!

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!

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!

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!

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
5 + 9 + 8 + 12 = 34

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
3 + 2 + 15 + 14 = 34

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. . .

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!

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
Dürer created this square in 1514 (the year his mother died).
“D“ for Dürer is the 4th letter of the alphabet.
“A“ for Albrecht is the 1st.

In addition to being a genius,
Albrecht Dürer was an
extraordinarily talented artist, and
a very good looking man. His hair
was even more amazing than his
rabbit. And his signature could be
use to denote Anno Domini.

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Albrecht Dürer‘s Magic Square

1. Albrecht Dürer‘s Magic Square

2. Dürer‘s magic square Albrecht Dürer. 1514. Melencolia 1. Engraving on Paper. 24 cm by 18.8 cm (shown copy from Staatliche Kunsthalle Karlsruhe, Germany).

3. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 The magic square What is the magic? It is the number 34! The sum of the various fields within the magic square are always 34.

4. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 The sum of all rows is 34!

5. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 The sum of all columns is 34!

6. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 The sum of all corners is 34!

7. 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!

8. 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!

9. 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!

10. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 5 + 9 + 8 + 12 = 34

11. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 3 + 2 + 15 + 14 = 34

12. 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. . .

13. 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!

14. 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 Dürer created this square in 1514 (the year his mother died). “D“ for Dürer is the 4th letter of the alphabet. “A“ for Albrecht is the 1st.

15. In addition to being a genius, Albrecht Dürer was an extraordinarily talented artist, and a very good looking man. His hair was even more amazing than his rabbit. And his signature could be use to denote Anno Domini.

Albrecht Dürer‘s Magic Square

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