Non Regular Magic Squares?

Hello all, I just made two threads about magic squares and regular squares, and in the process of making them, one of my questions I had written down asked why all regular squares are necessarily magic. Now I have another question!

Q: Is there a square that is a "Magic Square" and not necessarily a "Regular Square" as well? For the sake of consistency, if such an occurrence exists could someone give me a nxn square in decimal and base n for n=4 ? (4x4 square)

Sorry, my screenname was apparently illegal. Now that it is changed, please feel free to respond as normal. :-)

Is there anybody that is able to help with this one? All help is highly appreciated!

What do you mean by a regular square?

Here is my other thread on Regular Squares where I defined them as specified in my reference textbook:

http://www.mathhelpforum.com/math-he...questions.html

Is anyone able to help with this ?

Wish I could help more as one of my interests is magic squares and I don't have the needed familiarity with regular squares.

Code:

---

Decimal

00 14 13 03
11 05 06 08
07 09 10 04
12 02 01 15

Base 4

00 32 31 03
23 11 12 20
13 21 22 10
30 02 01 33

---