perplexus.info :: Numbers : Very Magic Square

Very Magic Square (Posted on 2003-11-21)

Can you create a 4x4 magic square that still works with the same total when turned upside down?

[A Magic Square is a grid of numbers whose rows, columns and long diagonals add up to the same total. All the numbers in the square must be different.]

[By 'turned upside down' I mean that if 106 is the number in the top left corner in the original magic square, then 901 is in the bottom right corner of the inverted square]

Submitted by fwaff

Rating: 3.3333 (6 votes)

Solution: (Hide)

One solution is:

16 98 81 69
61 89 96 18
99 11 68 86
88 66 19 91

Which gives an 'upside down' square of:

16 61 99 88
98 89 11 66
81 96 68 19
69 18 86 91

The total for each row, column and long diagonals for both squares is 264.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Handwriting...	pcbouhid	2008-06-09 22:32:18
No Subject	K Sengupta	2007-07-28 15:56:27
Another way to do this:	Gamer	2003-11-22 14:16:55
re(3): solution - very nice	Victor Zapana	2003-11-21 21:01:39
re(2): solution - very nice	Victor Zapana	2003-11-21 21:00:07
re: solution - very nice	SilverKnight	2003-11-21 18:14:49
re: solution	Victor Zapana	2003-11-21 17:56:58
solution	Victor Zapana	2003-11-21 17:53:48
5s and 2s legal?	John	2003-11-21 16:42:57

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (13)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info