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The magic geomagic square

The magic geomagic square

The image shows an incomplete geomagical and magical square. In a similar way to the magic squares in which when adding all the numbers of a row, column or diagonal we always get the same result, in this geomagic square if we put all the pieces of a row, column or diagonal together we can always form a magic square of the same size with the numbers from 1 to 15 always placed in the same arrangement. The resulting magic square has a gap that represents zero.

Find the missing figures and the numbers they must contain to complete the geomagic square.

It is a very difficult problem. You can practice first with the other geomagic squares that you will find on our website.

Extracted from the page www.geomagicsquares.com where you will find many geomagic squares.

Solution

The following image shows the solution in which we can see the arrangement of the numbers and the shape and location of the different pieces.