Solve 3x3 Magic Square Puzzle with 8-16

In summary, solving a 3x3 magic square puzzle with 8-16 involves arranging the numbers 8-16 in a 3x3 grid so that the sum of each row, column, and diagonal is the same. The sum of the puzzle is 39 and there are certain tricks and patterns that can be used to solve it. The time it takes to solve the puzzle varies and there can only be one unique solution for a 3x3 magic square puzzle with 8-16.
  • #1
chound
164
0
I need this very quickly:

There is a cube 3x3.
you have to use numbers 8-16 fill it up such that the sum is 36 all ways
 
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  • #2
How about:

13 9 14
15 11 10
8 16 12
 
  • #3
Oh nm, the diagonal form the bottom left to the top right is 33 >_<.
 
  • #4
This one works:

13 8 15
14 12 10
9 16 11
 
  • #5
Thanks a lot
 
  • #6
ummm...
Isn't that a square? :yuck:

http://www.sciencenews.org/articles/20040103/mathtrek.asp
 

1. How do I solve a 3x3 magic square puzzle with 8-16?

Solving a 3x3 magic square puzzle with 8-16 involves arranging the numbers 8, 9, 10, 11, 12, 13, 14, 15, and 16 in a 3x3 grid so that the sum of each row, column, and diagonal is the same. The first step is to place the number 13 in the center square, then fill in the remaining numbers in a specific pattern. There are various methods and algorithms that can be used to solve this type of puzzle.

2. What is the sum of a 3x3 magic square puzzle with 8-16?

The sum of a 3x3 magic square puzzle with 8-16 is 39. This includes the sum of each row, column, and diagonal, which should all add up to 39.

3. Are there any tricks or shortcuts for solving a 3x3 magic square puzzle with 8-16?

Yes, there are certain patterns and rules that can be followed to help solve a 3x3 magic square puzzle with 8-16. For example, placing the number 13 in the center square and then working outward can help determine the placement of other numbers. Additionally, certain mathematical properties such as symmetry and rotation can also be utilized.

4. How long does it take to solve a 3x3 magic square puzzle with 8-16?

The time it takes to solve a 3x3 magic square puzzle with 8-16 can vary greatly depending on the individual's skill and familiarity with solving these types of puzzles. Some people may be able to solve it quickly, while others may take longer. It is important to remember that practice and patience are key when solving any puzzle.

5. Can a 3x3 magic square puzzle with 8-16 have multiple solutions?

No, a 3x3 magic square puzzle with 8-16 can only have one unique solution. This is because the numbers 8-16 have been specifically chosen to create a magic square, meaning that there is only one possible way to arrange them in a 3x3 grid so that the sum of each row, column, and diagonal is the same.

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