Magic hexagon

 

Why using rows/columns with the same lenght? In a magic hexagon rows/columns have not the same lenght, but addition of the digits gives always the same magic sum. A magic hexagon consists of sequencial digits, but the smallest digit is not always 1. See below magic hexagons of different orders.

 

 

Hexagon, order 3 (rows/columns differ from 3 up to 5 digits; smallest digit 1; sum=38)

 

 

 

Hexagon, order 4 (rows/columns differ from 4 up to 7 digits; smallest digit 3; sum =111)

 

 

 

Hexagon, order 5 (rows/columns differ from 5 up to 9 digits; smallest digit 6; sum =244)

 

 

 

Hexagon, order 6 (rows/columns differ from 6 up to 11 digits; smallest digit 21; sum =546)

 

 

 

Source: Louis K. Hoelbling, 11 oktober 2004

 

 

Hexagon, order 7 (rows/columns differ from 7 up to 13 digits; smallest digit 2; sum =635)

 

 

 

Source: Arsen Zahray, 22 maart 2006

 

 

Hexagon, order 8 (rows/columns differ from 8 up to 15 digits; smallest digit -84; sum = 0)

 

 

 

Source: Louis K. Hoelbling, 5 februari 2006