JimB0Th's Magic Square puzzle

[AMDave]

JimB0Th has posted a great Magic Square puzzle on his site.

Magic Square (http://www.cappellin.net/modules.php?name=Forums&file=viewtopic&t=51)

do you know the answer ?

[AMDave]

Quick refresher on Magic Squares:

What makes a square magic?
The numbers in a magic square sould be the same as the number of cells (for examples in a square of 3 x 3 the numbers are 1 - 9); and they are placed so that each row, column and the two main diagonals all sum to the same total.

The smallest magic square is the 'Lo Shu' which is of the order 3. Any other arrangements of order 3 are only reflections and rotations of 'Lo Shu'.

The order of a magic square
The word 'order' refers to the number of squares, or cells, on one side of the square. A magic square of order 4 has 16 cells (4 x 4), a magic square of the order 9 has 81 cells (9 x 9) and so on.

The magic summation
The numbers in the rows, columns and diagonals of the 'Lo Shu' all sum to fifteen. This constant sum is called the 'magic summation'.

- notes courtesy of counton.org

So ... if you can figure out the "n" of the 10 x 10, allowing for the additional constraints that JimB0Th has in his matrix, you should be able to tell us what the "magic summation" of the matrix is...

Crikey ! I'd better solve this before my son does ! :shock:

[AMDave]

Oh. Those are the pure rules.

HINT:
In a pure Magic Square each number is used only once. This is not a pure magic square as you can tell by the repeats of the "n+1".

Good luck.

[NeoGen]

Maybe we could create a DC project to solve the puzzle :lol:

[JimB0Th]

Maybe we could create a DC project to solve the puzzle :lol:
LOL :lol: :lol:

[JimB0Th]

Attention!!! I call my puzzle game "magic square", but it's not a real magic square. There are different rules to solve my game.

[AMDave]

I have not found a solution yet.
Anyone else had any luck ?

I noted that the instruction said a 10 x 10 grid, but the picture showed a 7 x 7 grid.
I have posted JimB0Th asking which it should be.

[JimB0Th]

I have not found a solution yet.
Anyone else had any luck ?

I noted that the instruction said a 10 x 10 grid, but the picture showed a 7 x 7 grid.
I have posted JimB0Th asking which it should be.
The picture is 7x7, and not 10x10, only to show how to "move" numbers in the square.

I've written a hint in my forum that can help you to solve this game: "Try to solve a 5x5 square with the same rules and when you complete a 5x5 square try to solve a 10x10".

If you're interested in other "quiz, games or puzzle" look in my forum... they're written in Italian, but if you want a translation... no problem.

Have a nice day!

[AMDave]

Thanks, JimB0Th.
I'll give it another go.

[JimB0Th]

I give you a solution of the 5x5 problem:

http://img177.exs.cx/img177/2068/5x5square2tl.png

If you find 3 more ad-hoc 5x5 solutions you can solve the original 10x01 problem.

Good luck. :)

[AMDave]

Ah.
I admit I have not spent much time on this, but I was definitely going down the wrong track.

Thanks JimB0th.


Maybe we could create a DC project to solve the puzzle
NeoGen, I am starting to think you are right ! :shock:

[JimB0Th]

...

Maybe we could create a DC project to solve the puzzle
NeoGen, I am starting to think you are right ! :shock:

:lol: LOL :lol: