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### Sagrada Familia holds Mathematical Mysteries

October24

Number Puzzles in the Magic Square on the spectacular Sagrada Familia: H3 was recently in Barcelona and captivated by the soaring delights on this magnificent cathedral-in-progress (it is hoped to finish the building by 2026).

Outside, among the modern sculptures of biblical characters is a magic square. It has hidden meanings.
For example, the numbers of each row, each column and each diagonal add up to 33 – the age Jesus was when crucified. If you add up the numbers in each corner – 1+4+15+13- you also get 33. This is yet another mathematical detail on the Sagrada Familia. This square has a total of 310 combinations that add up to 33. You want another pattern? OK. There is also a hidden subliminal signature: adding up the numbers that repeat and looking at their correspondence in the Roman alphabet, we get the initials INRI – meaning “Iesus Nazarenus Rex Iudaeorum” (Jesus of Nazareth King of the Jews), which is, of course, the sign that Pontius Pilate wrote on Jesusâ€™ cross. Can you find other number patterns on this clever piece of sculpture? Did you find that the sum of each four numbers in each corner (1+14+11+7; 14+4+9+6, etc.) also add up to 33?
Here are some Magic Square activities for classes.

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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]