Order 5 Squares … Topographical Model

 

Maximum for water retention ….

 

 figure (1)    above shows maximum retention where duplicate numbers allowed

 

 

 

 

 

 

figure (2)  above shows maximum retention where numbers cannot be duplicates…. Notice two configurations possible for this result

 

 

 

 

 

figure (3) above shows maximum retention for order 5 magic

                 square

 

 

 

 

 

figure (4) above .. maximum retention for associated order 5 magic square

 

 

 

 

 

 

figure ( 5) above … maximum retention for de la Loubere’s

 

 

 

 

 

figure (6) above  … maximum retention for pandiagonal order 5 magic square