# The Geometry of Antoni Gaudi

*** Under construction ***

## Magic Square

The passion facade of the Sagrada Familia was also worked on by the Catalan sculptor Josep Maria Subirachs (1927 -).

Subirachs created a magic square where the rows and columns add up to 33, the age of Jesus at the time of his death. Two numbers are repeated: 10 and 14. If we add these numbers we get 48. The number 48 is the same number one obtains if the letter of INRI (Iesus Nazarenus Rex Iudeourum) are assigned a number according to their order in the Latin Alphabet.

A | B | C | D | E | F | G | H | I |
K | L | M | N |
O | P | Q | R |
S | T | V | X |

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
10 | 11 | 12 | 13 |
14 | 15 | 16 | 17 |
18 | 19 | 20 | 21 |

So that 9 + 13 + 17 + 9 = 48

## Catenary Arches and Catenoids

A catenary arch is the shape one gets when we suspend a rope or chain from its endpoints. Gaudi used catenary arches in many of his projects. The advantage of the catenary arch is that it can be constructed from relatively light materials while still being able to support great weights.