Magic Square Order 8x8
8x8 Magic Square
Magic Square of Order 8x8 is an even order magic square type. There are eight rows and eight columns with all together 64 different numbers in every puzzles of this type. On addition of numbers horizontally, vertically and diagonally gives the same magic constant. The first Magic Constant found is 260 which consist of numbers from 1 to 64 which is a primary magic square and has been shown in the picture below.
We can get the Standard or Secondary Magic Square of order 8x8 by adding some numbers to the above picture. For example in the picture below we can get a Magic Constant of 300 by addition of 5 to all the numbers in the cells above. This is shown in the picture below.
We can achieve Derived Magic Square of Order 8x8 by multiplication law. For example: if we multiply the above magic square puzzle by 2 we can get a Magic Constant of 600 which can be illustrated with following figure:
Types of Magic Square of Order 8x8
Unlike Magic Square of Order 3x3 which is off just one type where all magic constants are divisible by 3, magic square of order 8x8 are off two types where magic constants are divisible by 2 and 4 or by 2, 4 and 8. It is similar to magic square of order 4x4 which is an even order as well.
Magic Square Constant Divisible by 2 and 4
In this case, all the magic constants of magic square of order 8x8 are only divisible by 2 and 4 but not by 8. The numbers in the puzzles are mixture of odd and even numbers. This can be illustrated with an example below where Magic Constant is 300 which is only divisible by 2 and 4 but not by 8.
Magic Square Constant Divisible by 2, 4 and 8
In this case, all the magic constants of magic square of order 8x8 are divisible by 2, 4 and 8 as well. The numbers present in the puzzles are either all odd numbers or all even numbers. This can be illustrated with an example below where Magic Constant is 600 which is only divisible by 2, 4 as well as 8 where all numbers are even and the other example where all numbers are odd with Magic Constant is 608.
