Monday, July 2, 2018

Rich Tasks 13: Sagrada Familia "Magic" Square

The Temple Expiatori de la Sagrada Familia is a Roman Catholic Church which is under construction since 1882. 

In front of the unfinished building, there appears a "magic" square as shown. 


Designed by the sculptor Subirach, any sequential four numbers (same row, column, diagonal or other ways) on the magic square add up to 33, in 33 different ways. 

Actually, this is German mathematician Durer's famous 34 square changed by the sculptor in order to reach Jesus' age when he died. Normally there should be numbers from 1 to 16 without repetition. 

Can you show all the patterns giving 33 on the given magic squares below? First two are given as the example. 



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