# The Magic Square of the Sagrada Familia – What’s Behind?

Today we are not going to talk specifically about the Sagrada Familia, but one of its more curious elements: the “magic square” located next to the sculture of Judas Kiss.

While appreciating the Passion façade and the majority of Subirachs’ sculptural work, more than once guests are amazed to find a progression of numbers inside a square and ponder what they can mean.

All things considered, it is an enchantment square, yet for this situation, it is an exceptionally extraordinary one. In this article, we’ll attempt to clarify why.

To ensure that everybody understands, a magic square is an arrangement of numbers (usually integers) in a square grid, where the numbers in each row, and in each column, and the numbers in the forward and backward main diagonals, all add up to the same number.

In the Fagrada Familia we can find an example of magic square, located on the facade of the Passion and, despite what many people think, made by the sculptor Josep Maria Subirach not by the famous architect Antoni Gaudí.

The constant that is obtained by adding the 4 rows, 4 columns and 2 diagonals of this square is 33. But also the four numbers in the vertices of the square added 33, or equally the four middle numbers, and the same applies to a total of 310 possible combinations of four numbers taken from those 16. Thirty-three was, according to Christian tradition, the age when Christ was crucified.

An enchantment square is a progression of numbers on a square lattice, put with the goal that any line, section or corner to corner line dependably means a similar number. This total is known as the magic steady of the square.

Enchantment squares begin with 3×3 networks, as there’s no conceivable answer for a 2×2 framework and a 1×1 matrix doesn’t bode well.

Typically, this implies putting associating entire numbers into the framework: for a 3×3 matrix, the numbers from 1 to 9; for a 4×4 matrix, the numbers from 1 to 16. Beginning from these principles, the enchantment steady can’t be picked and relies upon the whole of the numbers utilized.

For instance, in a 3×3 magic square where the entirety of 1+2+3+4+5+6+7+8+9=45, each line, section and corner to corner line entireties 45/3 = 15; in a 4 x 4 magic square, where the aggregate of the considerable number of numbers from 1 to 16 is 136, the enchantment consistent is 136/4 = 34. Thus, for a 5×5 square, the steady is 65; for a 6×6, it’s 111; and for a 7×7, 175.